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Arias. @c See the file copying.texinfo for copying conditions. @node Dynamics, Examples dynamics of particles, Examples statics rigid bodies, Top @chapter Module dynamics of particles @cindex Module dynamics of particles The conversion factors for SI system are: @sp 2 @table @strong @item h hour @item min minute @item hp horse power @item cv steam horses @item T metric ton @item g gram @item slug slug @item km kilometer @item cm centimeter @item mm millimeter @item mi mile @item ft feet @item in inch @item km/h kilometers per hour @item cm/s centimeters per second @item mm/s millimeters per second @item mph miles per hour @item ft/s feet per second @item in/s inch per second @item kt knot @item cm/s2 centimeters per squared second @item mm/s2 millimeters per squared second @item ft/s2 feet per squared second @item in/s2 inch per squared second @end table @page And for the English system are: @sp 2 @table @strong @item h hour @item min minute @item hp horsepower @item cv steam horses @item kg kilogram @item g gram @item km kilometer @item m meter @item cm centimeter @item mm millimeter @item mi mile @item in feet @item km/h kilometers per hour @item m/s meters per second @item cm/s centimeters per second @item mm/s millimeters per second @item mph miles per hour @item in/s inch per second @item kt knot @item m/s2 meters per squared second @item cm/s2 centimeters per squared second @item mm/s2 millimeters per squared second @item in/s2 inch per squared second @item lb/in pound per inch @end table @sp 2 In this module, the forces (elements Force, Friction or Contact) are added to the objects (elements Block, Pulley or Spring) placing the force in one of the cells around the object. Each object (if there isn't in the chalkboard's border) have 8 cells around it. This module have 44 elements, presented below. With a description of each one, its data and its number of equations. Note that some elements have one or two equations, depending of the applied forces, or of the objects that interact with it. @page @menu * Stationary reference system: Stationary reference system (d). * Mobile: Mobile (d). * Mobile in X/Y: Mobile in X/Y (d). * Block with vertical movement: Block vertical (d). * Block with horizontal movement: Block horizontal (d). * Block with movement along an inclined plane to the left: Block plane to the left (d). * Block with movement along an inclined plane to the right: Block plane to the right (d). * Pulley: Pulley (d). * Springs: Springs (d). * Forces: Forces (d). * Frictions: Frictions (d). * Frictions between blocks (contacts): Frictions between blocks (d). * Relation between accelerations: Relation between accelerations (d). * Relative motion: Relative motion (d). * Collision: Collision (d). * Energy: Energy (d). * Momentum: Momentum (d). * Power: Power (d). @end menu @node Stationary reference system (d), Mobile (d), Dynamics, Dynamics @section Stationary reference system @cindex Stationary reference system (d) @image{s_fijo} Stationary reference system, with X axis horizontal and positive to the right, and Y axis vertical an positive to upwards. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item g: @tab Value of the gravity (absolute value). To default FisicaLab write the gravity value to the selected system (9.81 m/s2 to SI, and 32.2 ft/s2 to English system). @item t: @tab End time to the problem. @end multitable @page @node Mobile (d), Mobile in X/Y (d), Stationary reference system (d), Dynamics @section Mobile @cindex Mobile (d) @image{particula} Mobile to collision problems. The angles are measured from the positive X axis, and the positive sense is the opposite of clockwise. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the mobile. @item m: @tab Mass of the mobile. @item vi: @tab Initial velocity, in the direction specified by the initial angle. @item angi: @tab Initial angle. @item vf: @tab Final velocity, in the direction specified by the final angle. @item angf: @tab Final angle. @end multitable @page @node Mobile in X/Y (d), Block vertical (d), Mobile (d), Dynamics @section Mobile in X/Y @cindex Mobile in X/Y (d) @image{movil_x} @image{movil_y} Mobiles with movement along the X and Y axis, respectively. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the mobile. @item m: @tab Mass of the mobile. @item vi: @tab Initial velocity. @item vf: @tab Final velocity. @end multitable @page @node Block vertical (d), Block horizontal (d), Mobile in X/Y (d), Dynamics @section Block with vertical movement @cindex Block with vertical movement (d) @image{bloque_v} Block with vertical movement. Allows only one friction force, vertical or horizontal. @multitable @columnfractions .15 .6 @item Equations: @tab 3 or 4 (if all the applied forces are vertical the block have 3 equation, otherwise have 4). @headitem Data: @tab @item Name: @tab Name of the block. @item m: @tab Mass block. @item a: @tab Acceleration of the block. @item vi: @tab Initial velocity. @item vf: @tab Final velocity. @item d: @tab Travelled distance. @item Relative to: @tab To default is @emph{sf} meaning that the data is measured from a stationary reference system. But you can set a block whit horizontal movement, if the data is relative to that block. @end multitable @page @node Block horizontal (d), Block plane to the left (d), Block vertical (d), Dynamics @section Block with horizontal movement @cindex Block with horizontal movement (d) @image{bloque_h} Block with horizontal movement. Allows only one horizontal friction force. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Name: @tab Name of the block. @item m: @tab Mass of the block. @item a: @tab Acceleration of the block. @item vi: @tab Initial velocity. @item vf: @tab Final velocity. @item d: @tab Travelled distance. @item Relative to: @tab To default is @emph{sf} meaning that the data is measured from a stationary reference system. But you can set a block, if the data is relative to that block. @end multitable @page @node Block plane to the left (d), Block plane to the right (d), Block horizontal (d), Dynamics @section Block with movement along an inclined plane to the left @cindex Block with movement along an inclined plane to the left (d) @image{bloque_i} The data of this object are referring to a reference system, with the X axis along the plane and positive to upwards. And Y axis perpendicular to the plane and positive to upwards. Allows only one friction force parallel to the plane. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Name: @tab Name of the block. @item m: @tab Mass of the block. @item ang: @tab Angle of the plane, measured from the horizontal. @item a: @tab Acceleration of the block. @item vi: @tab Initial velocity. @item vf: @tab Final velocity. @item d: @tab Travelled distance. @item Relative to: @tab To default is @emph{sf} meaning that the data is measured from a stationary reference system. But you can set a block, if the data is relative to that block. @end multitable @page @node Block plane to the right (d), Pulley (d), Block plane to the left (d), Dynamics @section Block with movement along an inclined plane to the right @cindex Block with movement along an inclined plane to the right (d) @image{bloque_d} The data of this object are referring to a reference system, with the X axis along the plane and positive to upwards. And Y axis perpendicular to the plane and positive to upwards. Allows only one friction force parallel to the plane. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Name: @tab Name of the block. @item m: @tab Mass of the block. @item ang: @tab Angle of the plane, measured from the horizontal. @item a: @tab Acceleration of the block. @item vi: @tab Initial velocity. @item vf: @tab Final velocity. @item d: @tab Travelled distance. @item Relative to: @tab To default is @emph{sf} meaning that the data is measured from a stationary reference system. But you can set a block, if the data is relative to that block. @end multitable @page @node Pulley (d), Springs (d), Block plane to the right (d), Dynamics @section Pulley @cindex Pulley (d) @image{polea} Pulley without mass. Don't allows frictions or contacts. @multitable @columnfractions .15 .6 @item Equations: @tab 1 or 2 (if all applied forces are vertical, or horizontal, the block have 1 equation, otherwise have 2). @headitem Data: @tab @item Name: @tab Name of the pulley (this data is irrelevant). @end multitable @node Springs (d), Forces (d), Pulley (d), Dynamics @section Springs @cindex Springs (d) @image{resortes} Springs without mass, that satisfies the Hooke's law. @emph{xi} and @emph{xf} are, respectively, the initial and end length that the spring is stretched or compressed. If the spring is stretched the length is positive, if is compressed is negative. Allow one or two forces. If have two forces these must have different sense (stretching or compressing the spring), and the same values or unknown data. Don't allows frictions or contacts. The forces must be in the direction which will move the spring (see examples). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item k: @tab Spring constant. @item xi: @tab Initial length. @item xf: @tab Final length. @end multitable @page @node Forces (d), Frictions (d), Springs (d), Dynamics @section Forces @cindex Forces (d) @image{fuerzas} Forces with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f @tab Magnitude of the force. @item ang @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @end multitable @node Frictions (d), Frictions between blocks (d), Forces (d), Dynamics @section Frictions @cindex Frictions (d) @image{fricciones} Frictions with the direction and sense of the arrow. The oblique frictions, to be applied to a block on an inclined plane, are assumed parallels to the plane. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Normal: @tab Normal to calculate the friction force. @item u: @tab Friction coefficient, static or dynamic. @end multitable @page @node Frictions between blocks (d), Relation between accelerations (d), Frictions (d), Dynamics @section Frictions between blocks (contacts) @cindex Frictions between blocks (contacts) (d) @image{contactos} Friction forces between blocks, with the direction and sense of the arrows. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Normal: @tab Normal to calculate the friction force. @item u: @tab Friction coefficient, static or dynamic. @item ang: @tab Positive angle of the friction, measured from the horizontal. This entry is displayed only for oblique frictions. @end multitable @node Relation between accelerations (d), Relative motion (d), Frictions between blocks (d), Dynamics @section Relation between accelerations @cindex Relation between accelerations (d) @image{relacion} Allows to make a relation between the magnitudes of accelerations measured in different reference systems. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item a1: @tab Acceleration of the first block. @item a2: @tab Acceleration of the second block. @item z: @tab The relation factor, to default is -1. @end multitable @page @node Relative motion (d), Collision (d), Relation between accelerations (d), Dynamics @section Relative motion @cindex Relative motion (d) @image{mov_rel} Allows get the acceleration, final velocity and travelled distance of a block in reference to the stationary system. When its data is relative to another block, that making a mobile reference system. The angles are measured from the positive X axis, and the positive sense is the opposite of clockwise. @multitable @columnfractions .15 .6 @item Equations: @tab 6 @headitem Data: @tab @item Object: @tab Name of the object that its data is relative. @item asf: @tab Magnitude of the acceleration. @item ang_asf: @tab Angle of the acceleration vector. @item vf_sf: @tab Magnitude of the final velocity. @item ang_vfsf: @tab Angle of the final velocity vector. @item dsf: @tab Travelled distance of the block. @item ang_dsf: @tab Angle of the travelled distance. @end multitable @page @node Collision (d), Energy (d), Relative motion (d), Dynamics @section Collision @cindex Collision (d) @image{colision} Collision between mobiles. Allows collision between two Mobile in X, or two Mobile in Y. Or between two Mobile. Any other collision isn't allowed. @multitable @columnfractions .15 .6 @item Equations: @tab 2 or 4 (if the collision is between two mobiles in x, or two mobiles in Y, have 2 equations. Otherwise 4). @headitem Data: @tab @item Object 1: @tab Name of first mobile. @item Object 2: @tab Name of second mobile. @item e: @tab Coefficient of restitution. @item angn: @tab Angle of the normal between the objects (when collide). Measured from the positive X axis. The positive sense is the opposite of clockwise. @end multitable @page @node Energy (d), Momentum (d), Collision (d), Dynamics @section Energy @cindex Energy (d) @image{energia} Set the principle of energy and work to 1, 2, 3, or 4 blocks or mobiles. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object 1: @tab Name of the first block or mobile. @item Object 2: @tab Name of the second block or mobile. @item Object 3: @tab Name of the third block or mobile. @item Object 4: @tab Name of four block or mobile. @item W: @tab External work to the system. @end multitable @page @node Momentum (d), Power (d), Energy (d), Dynamics @section Momentum @cindex Momentum (d) @image{momento} Set the principle of momentum and impulse, to one block or mobile. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object: @tab Name of the block or mobile. @item Imp: @tab Magnitude of the impulse's vector. @item ang: @tab Angle of the impulse's vector. Measured from the positive X axis. The positive sense is the opposite of clockwise. @item fImp: @tab Impulsive force. @end multitable @node Power (d), , Momentum (d), Dynamics @section Power @cindex Power (d) @image{potencia} It measures the developed power. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the block. @item P: @tab Power. @end multitable trunk/Documentation/Manual/English/statics.texinfo0000777000076400007640000001706512734077052022253 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Statics, Examples statics, Examples circular kinematics of particles, Top @chapter Module statics of particles @cindex Module statics of particles The conversion factors for SI system are: @sp 2 @table @strong @item cm centimeter @item g gram @item slug slug @item T metric ton @end table @sp 2 And for the English system are: @sp 2 @table @strong @item kg kilogram @item g gram @item in inch @item lb/in pounds per inch @end table @sp 2 In this module, the forces (elements Force, Friction or Resultant) are added to the objects (elements Block, Pulley, Spring and Point) placing the force in one of the cells around the object. Each object (if there isn't in the chalkboard's border) have 8 cells around it. This module have 30 elements, presented below. With a description of each one, its data and its number of equations. Notice that some elements have one or two equations, depending of the applied forces. If all forces are horizontal, or vertical, the object have one equation, otherwise have two. @page @menu * Stationary reference system: Stationary reference system (s). * Block: Block (s). * Block above an inclined plane to the left: Block left (s). * Block above an inclined plane to the right: Block right (s). * Springs: Springs (s). * Pulley: Pulley (s). * Static point: Static point (s). * Angles: Angles (s). * Forces: Forces (s). * Frictions: Frictions (s). * Vertical/Horizontal resultant: V/H resultant (s). * Resultant: Resultant (s). @end menu @node Stationary reference system (s), Block (s), Statics, Statics @section Stationary reference system @cindex Stationary reference system (s) @image{s_fijo} Stationary reference system, with X axis horizontal and positive to the right, and Y axis vertical an positive to upwards. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item g: @tab Value of the gravity (absolute value). To default FisicaLab write the gravity value to the selected system (9.81 m/s2 to SI, and 32.2 ft/s2 to English system). @end multitable @node Block (s), Block left (s), Stationary reference system (s), Statics @section Block @cindex Block (s) @image{bloque} A block, allow one friction force, vertical or horizontal. And don't allow Resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 1 or 2 @headitem Data: @tab @item m: @tab Mass block. @end multitable @page @node Block left (s), Block right (s), Block (s), Statics @section Block above an inclined plane to the left @cindex Block above an inclined plane to the left (s) @image{bloque_i} A block, above an inclined plane to the left in the specified angle. Allow one friction force, parallel to the plane. And don't allow Resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item m: @tab Mass block. @item ang: @tab Angle of the plane, measured from the horizontal. @end multitable @node Block right (s), Springs (s), Block left (s), Statics @section Block above an inclined plane to the right @cindex Block above an inclined plane to the right (s) @image{bloque_d} A block, above an inclined plane to the right in the specified angle. Allow one friction force, parallel to the plane. And don't allow Resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item m: @tab Mass block. @item ang: @tab Angle of the plane, measured from the horizontal. @end multitable @page @node Springs (s), Pulley (s), Block right (s), Statics @section Springs @cindex Springs (s) @image{resortes} Springs without mass, that satisfies the Hooke's law. @emph{d} is the length that the spring is stretched or compressed. If the spring is stretched @emph{d} is positive, if is compressed is negative. Allow one or two forces. If have two forces these must have different sense (stretching or compressing the spring), and the same values or unknown data. Don't allow frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item k: @tab Spring constant. @item d: @tab Length that the spring is stretched or compressed. @end multitable @node Pulley (s), Static point (s), Springs (s), Statics @section Pulley @cindex Pulley (s) @image{polea} A pulley without mass. Don't allow frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 1 or 2 @headitem Data: @tab @item Name: @tab Name of the pulley (this data is irrelevant). @end multitable @page @node Static point (s), Angles (s), Pulley (s), Statics @section Static point @cindex Static point (s) @image{p_estatica} A static point without mass. Don't allow frictions. @multitable @columnfractions .15 .6 @item Equations: @tab 1 or 2 @headitem Data: @tab @item Name: @tab Name of the point (this data is irrelevant). @end multitable @node Angles (s), Forces (s), Static point (s), Statics @section Angles @cindex Angles (s) @image{angcomp} To relate two angles that must be complementary. Both angles must be unknowns. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item ang1: @tab One angle. @item ang2: @tab Other angle. @end multitable @page @node Forces (s), Frictions (s), Angles (s), Statics @section Forces @cindex Forces (s) @image{fuerzas} Forces with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f @tab Magnitude of the force. @item ang @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @end multitable @node Frictions (s), V/H resultant (s), Forces (s), Statics @section Frictions @cindex Frictions (s) @image{fricciones} Frictions with the direction and sense of the arrow. The oblique frictions, to be applied to a block on an inclined plane, are assumed parallels to the plane. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Normal: @tab Normal to calculate the friction force. @item u: @tab Friction coefficient, static or dynamic. @end multitable @page @node V/H resultant (s), Resultant (s), Frictions (s), Statics @section Vertical/Horizontal resultant @cindex Vertical/Horizontal resultant @image{resultante_v} @image{resultante_h} Resultants with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f: @tab Magnitude of the resultant. @end multitable @node Resultant (s), , V/H resultant (s), Statics @section Resultant @cindex Resultant (s) @image{resultante} Oblique resultant. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f: @tab Magnitude of the resultant. @item ang: @tab Angle of the resultant, measured from the positive X axis. The positive sense is the opposite of clockwise. @end multitable trunk/Documentation/Manual/English/fisicalab.texinfo0000777000076400007640000004474014506447740022522 0ustar germangerman\input texinfo @c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013-2023 German A. Arias. @c See the file copying.texinfo for copying conditions. @c %**start of header @setfilename fisicalab.info @documentlanguage en @documentencoding UTF-8 @settitle GNU F@'{@dotless{i}}sicaLab @smallbook @c %**end of header @copying Copyright @copyright{} 2009, 2010, 2012, 2013, 2014, 2020, 2023 Germ@'an A. Arias. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License". @end copying @titlepage @title GNU F@'{@dotless{i}}sicaLab @subtitle The free software to the physics (free as in fredom). @subtitle User manual for version 0.4.0, first edition. @sp 4 @image{fisicalab_logo, 6cm} @author Germ@'an A. Arias @c The following two commands start the copyright page. @page @vskip 0pt plus 1filll @insertcopying @end titlepage @c Output the table of contents at the beginning. @contents @ifnottex @node Top, Welcome, (dir), (dir) @top Contenido FisicaLab is an educational application to solve physics problems. Its main objective is let the user to focus in physics concepts, leaving aside the mathematical details (FisicaLab take care of them). This allows the user to become familiar with the physical concepts without running the risk of getting lost in mathematical details. And so, when the user gain confidence in applying physical concepts, will be better prepared to solve the problems by hand (with pen and paper). FisicaLab is easy to use and very intuitive. However, in order to take advantage of all its features, we recommend you read first these help files. @menu * Welcome:: * Kinematics:: * Examples kinematics of particles:: * Circular kinematics:: * Examples circular kinematics of particles:: * Statics:: * Examples statics:: * Rigid statics:: * Examples statics rigid bodies:: * Dynamics:: * Examples dynamics of particles:: * Circular dynamics:: * Examples circular dynamics:: * Calorimetry:: * Examples calorimetry:: * Thermodynamics:: * Examples thermodynamics:: * GFDL:: * Indice:: @detailmenu --- The Detailed Node Listing --- Introduction * Handling the elements:: * Element data:: * How it works:: * Messages:: Module kinematics of particles * Stationary reference system: Stationary reference system (k). * Mobile reference system: Mobile reference system (k). * Mobile reference system in X/Y: Mobile reference system in X/Y (k). * Mobile: Mobile (k). * Mobile in X/Y: Mobile in X/Y (k). * Mobile in X/Y with constant velocity: Mobile in X/Y with constant velocity (k). * Cannon: Cannon (k). * Mobile radial: Mobile radial (k). * Distance: Distance (k). * Distance XY: Distance XY (k). * Point: Point (k). * Relative velocity: Relative velocity (k). Examples kinematics of particles * Example 1 (k):: * Example 2 (k):: * Example 3 (k):: * Example 4 (k):: * Example 5 (k):: * Example 6 (k):: * Example 7 (k):: Module circular kinematics of particles * Stationary reference system: Stationary reference system (ck). * Mobile with circular motion: Mobile circular (ck). * Mobile with polar circular motion: Mobile polar (ck). * Angular velocity: Angular velocity (ck). * Angular acceleration: Angular acceleration (ck). * Total acceleration: Total acceleration (ck). * Frequency: Frequency (ck). * Period: Period (ck). * Number of laps: Number of laps (ck). * Center of rotation: Center of rotation (ck). * Distance: Distance (ck). * Arc length: Arc length (ck). * Coordinate: Coordinate (ck). * Relative velocity: Relative velocity (ck). Examples circular kinematics of particles * Example 1 (ck):: * Example 2 (ck):: * Example 3 (ck):: * Example 4 (ck):: * Example 5 (ck):: Module statics of particles * Stationary reference system: Stationary reference system (s). * Block: Block (s). * Block above an inclined plane to the left: Block left (s). * Block above an inclined plane to the right: Block right (s). * Springs: Springs (s). * Pulley: Pulley (s). * Static point: Static point (s). * Angles: Angles (s). * Forces: Forces (s). * Frictions: Frictions (s). * Vertical/Horizontal resultant: V/H resultant (s). * Resultant: Resultant (s). Examples statics * Example 1 (s):: * Example 2 (s):: * Example 3 (s):: * Example 4 (s):: * Example 5 (s):: * Example 6 (s):: * Example 7 (s):: * Example 8 (s):: * Example 9 (s):: Module rigid statics * Stationary reference system: Stationary reference system (rs). * Points: Points (rs). * Beam: Beam (rs). * Solid: Solid (rs). * Point: Point (rs). * Angles: Angles (rs). * Elements of beam: Elements of beam (rs). * Elements of solid: Elements of solid (rs). * Forces: Forces (rs). * Frictions: Frictions (rs). * Couple: Couple (rs). * Beams of 2 forces: Beams of 2 forces (rs). * Truss: Truss (rs). * Joint: Joint (rs). * Beams of truss: Beams of truss (rs). * Resultant: Resultant (rs). * Resultant with horizontal force: Resultant horizontal (rs). * Resultant with vertical force: Resultant vertical (rs). Examples statics rigid bodies * Example 1 (rs):: * Example 2 (rs):: * Example 3 (rs):: * Example 4 (rs):: * Example 5 (rs):: * Example 6 (rs):: * Example 7 (rs):: * Example 8 (rs):: * Example 9 (rs):: * Example 10 (rs):: * Example 11 (rs):: * Example 12 (rs):: * Example 13 (rs):: Module dynamics of particles * Stationary reference system: Stationary reference system (d). * Mobile: Mobile (d). * Mobile in X/Y: Mobile in X/Y (d). * Block with vertical movement: Block vertical (d). * Block with horizontal movement: Block horizontal (d). * Block with movement along an inclined plane to the left: Block plane to the left (d). * Block with movement along an inclined plane to the right: Block plane to the right (d). * Pulley: Pulley (d). * Springs: Springs (d). * Forces: Forces (d). * Frictions: Frictions (d). * Frictions between blocks (contacts): Frictions between blocks (d). * Relation between accelerations: Relation between accelerations (d). * Relative motion: Relative motion (d). * Collision: Collision (d). * Energy: Energy (d). * Momentum: Momentum (d). * Power: Power (d). Examples dynamics of particles * Example 1 (d):: * Example 2 (d):: * Example 3 (d):: * Example 4 (d):: * Example 5 (d):: * Example 6 (d):: * Example 7 (d):: * Example 8 (d):: * Example 9 (d):: * Example 10 (d):: * Example 11 (d):: * Example 12 (d):: Module circular dynamics of particles * Stationary reference system: Stationary reference system (cd). * Object in rest: Object in rest (cd). * Mobile with linear movement: Mobile linear (cd). * Mobile with circular movement: Mobile circular (cd). * Mobile with polar circular movement: Mobile polar (cd). * Mobile with perpendicular circular movement: Mobile perpendicular (cd). * Angular velocity: Angular velocity (cd). * Centripetal acceleration: Centripetal acceleration (cd). * Angular acceleration: Angular acceleration (cd). * Energy: Energy (cd). * Angular momentum: Angular momentum (cd). * Linear momentum: Linear momentum (cd). * Power: Power (cd). * Initial System: Initial System (cd). * Final System: Final System (cd). * Center of rotation: Center of rotation (cd). * Springs: Springs (cd). * Forces: Forces (cd). * Frictions: Frictions (cd). * Angles: Angles (cd). * Moment of a force or couple of forces: Moment (cd). * Total acceleration (Triangle of accelerations): Total acceleration (cd). * Maximum acceleration: Maximum acceleration (cd). * Inertia: Inertia (cd). * Absolute velocity: Absolute velocity (cd). * Sine of angle: Sine of angle (cd). * Supported combinations of elements Energy, Angular Momentum, Linear Momentum and Power: Combinations (cd). Examples circular dynamics of particles * Example 1 (cd):: * Example 2 (cd):: * Example 3 (cd):: * Example 4 (cd):: * Example 5 (cd):: * Example 6 (cd):: * Example 7 (cd):: * Example 8 (cd):: * Example 9 (cd):: * Example 10 (cd):: * Example 11 (cd):: * Example 12 (cd):: * Example 13 (cd):: Calorimetry * Laboratory clock: Laboratory clock (cal). * Applied heat: Applied heat (cal). * Applied heat flow: Applied heat flow (cal). * Heat extracted: Heat extracted (cal). * Refrigeration: Refrigeration (cal). * Block: Block (cal). * Liquid: Liquid (cal). * Gas: Gas (cal). * Linear expansion: Linear expansion (cal). * Superficial expansion: Superficial expansion (cal). * Volumetric expansion: Volumetric expansion (cal). * Change of state solid-liquid: Change solid-liquid (cal). * Change of state liquid-gas: Change liquid-gas (cal). * Process: Process (cal). * Calorimeter: Calorimeter (cal). * Gas at constant pressure: Gas constant pressure (cal). * Gas at constant temperature: Gas constant temperature (cal). * Gas at constant volume: Gas constant volume (cal). * Gas PV/T: Gas PV/T (cal). * Heat exchanger: Heat exchanger (cal). Examples calorimetry * Example 1 (cal):: * Example 2 (cal):: * Example 3 (cal):: * Example 4 (cal):: * Example 5 (cal):: * Example 6 (cal):: * Example 7 (cal):: * Example 8 (cal):: * Example 9 (cal):: * Example 10 (cal):: * Example 11 (cal):: * Example 12 (cal):: * Example 13 (cal):: Thermodynamics * Applied heat: Applied heat (therm). * Work: Work (therm). * Heat extracted: Heat extracted (therm). * Adiabatic process: Adiabatic process (therm). * Isochoric process: Isochoric process (therm). * Isothermal process: Isothermal process (therm). * Isobaric process: Isobaric process (therm). * Sensible heat: Sensible heat (therm). * Vaporization heat: Vaporization heat (therm). * Heat engine: Heat engine (therm). * Refrigerator: Refrigerator (therm). * Heat pump: Heat pump (therm). * Gas PV/T: Gas PV/T (therm). Examples thermodynamics * Example 1 (thermo):: * Example 2 (thermo):: * Example 3 (thermo):: * Example 4 (thermo):: * Example 5 (thermo):: @end detailmenu @end menu @end ifnottex @include introduction.texinfo @include kinematics.texinfo @include kinematics-examples.texinfo @include kinematics-circular.texinfo @include kinematics-circular-examples.texinfo @include statics.texinfo @include statics-examples.texinfo @include statics-rigid.texinfo @include statics-rigid-examples.texinfo @include dynamics.texinfo @include dynamics-examples.texinfo @include dynamics-circular.texinfo @include dynamics-circular-examples.texinfo @include calorimetry.texinfo @include calorimetry-examples.texinfo @include thermodynamics.texinfo @include thermodynamics-examples.texinfo @include copying.texinfo @include concept-index.texinfo @bye trunk/Documentation/Manual/English/punto.png0000777000076400007640000000231312734077052021044 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڝA >E0@Lqh ҿx߾vBHHh#UX@^Bn9~>y;[9 q?'ǯ^9g`af50dPbfk0Xbk1֚@1V 7ܞ s{ZkngIZ֖T+P7-p7?pAa2zf9s#ֹg'n~9IWS6p`ZE9g@]1l[tSc]-ĀKjBWgE@cO XY K Ժ6u[jf Q XRӒ:j:'W4('q+n\s5~9ٵTr ث@wg.X$Iʣi=n/~J>_R74mgƇ]2tSӦ6|XizL*OP5hΖ5 qkb ZVk5W#wj[&1ʩhj+nm+Ҩីfʕ_'-w`EiOt!=p+nFp#>P', I1?.oksz#^;fW>MH7/!Y/=pfR^#F;E8 vpAg00WIDAThձ 1D1},]P)j((ȗ) Ƭ,9;ZV詸Gk݉V0|K:۹ H:2eLYQnʔ825vs"W?2/4̦HtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-15T19:50:53-06:00f%tEXtdate:modify2012-05-22T12:37:12-06:00ftEXttiff:alphaunassociated(BtEXttiff:document/home/german/Proyectos/GSfisica/cinematica/punto.tifx&tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/seno_angulo.jpg0000777000076400007640000001546512734077052022220 0ustar germangermanJFIFHHCreated with GIMPC  !"$"$C"C  !1A"6QWv#23Baqu$Rr%5CG4!1AqQa"234CbrBR ?DDD@DDD@DDQ&)O5ݕG@S3n;}:ʖ:1wdG h٪{l[;e=kk٣l\#tM};<mdFKݩ_l^Om ,|erhso 8aO|2,3G4{;t;q dP߳:e.1k4'\A׽qU.9}!}4twn݉/QgTimy>g^1y3Ҹ0o=QYo6(\+ t5n7zt""" """ """ """ .*zJwOF7|5O@ي="}Y+bҼq#R=Id_7>bh$a݂W~sU]E7ˑ I rwz3Oow)ꫤqmRs$ryvBi))MKPAִّ{Ax?Ҷgq%zȈ3Y=jEf5,_vVhdtr5ckTEKq;Ϯ`n2!h!}WmqU ͦS%l9աhwci$7IU9g8Ukb K 51w¦Rپ dʟdݵJtJav~q޿ Yty^OqZMBSNc^LeM,OvIÚt(9Qg~ms'^ KKpj [ddt2`\9]v]`Nch7 H%S`X 6kkUU15TI#\OyuPI[W/rni HGP  Fk'4?2XHf{#C%ԊqUӾA㕁pzVX=.S6QSaԛ})nZ 1k&S^lo&=Ѓܽ5e6}ͰGj]_lQwL b^e) c*Ug,831qu/7;=_3aLv٭1Z-n Fx wNFZ4ִlAhuhYr[eGPSg6;U|#5,_vVj3Y=jEfϫx.AsTC=9;A؁Ѝ݉Ū\c[/op˳[moۅ,W5#k|w{á;Ӹ8rv9CKd1U6TMU^s# )_}SRRQӲcô,\Hcw'n#$ϳ]d4%̌WU8G/$xqkXw;4wq/̵̧UkjihZ{0qZwv`#qv;͊mY8iYc;zI$$I%Rݽأ~[b1\s'T|#d'(Dv/UF#. wts_"+Qj#(r8~'zoksiP""Q f՘+hx|RAq;;7xySeVw]!T:Zki$n p{Ǐu6kSxeu *;O{.(M05M3 oNFi`l71Q3S~݌ڹVqG__OE-Oe,q!Ό˷=z߯TuhY6 \$h{9f>hXC#;ѣW:m4/BѹI@R9 i,/G(np(,QFk'4?2XHf{#C%ԊtkmSwGGCJsM!ԒH $ *V5JR<]הq!ߏWM3c̵ Pn爐ꈩ逎f0As<@G Ws4Y#\]Fm}EH\GZ;{ n1Xޫ8b)8stc37\8 GsfxזTuxkDE]Έ2^%q˱ʋtc.2q8.Xfhk@k@6)}-fU*imLE˗T4VQGt:F13lڬjO78 >2IOV'<<G%]%e;=I#cLnúlVjW~QIɂ{aOI?41ïS8|Ro%3\A30,:|4>M>|4>MYO 0ϡS~O 0ϡS~h=gL3Tߡ=gL3Tߡ(DY 7ODY 7AtXm PS0vWr@.t<=ָ0:Ki%G jC/xUtrZ1K5e+-V)tUHr8\w&SiK;[n].(sRvܝEJj܉ݣ8n#rݿtL>J4nۋUK}#Ȳ*gT6Sɸ{{?;;7woU0PQlq +f3&?*oо(Ӧnèc_E-Uz{K,#HZf̈́^rJ"~m-QEB'lfdwQl]-#Ǫ]8X<\û[,th> 9o[>|4>M>|4>M+i׉9g13:4tg|4>M>|4>MbU(DY 7ODY 7Af3>|4>M>|4>Mvٚ׏T)ݦknltl?|O 0ϡS~>&^]3?y7i?Ui/ {y'mysn[t߿e[K>aB ]Ύ8S 4xv?Щmi4'Z Jwqk$sZY: :\i|{8$^CէA""" """ """ Odh~d}ڑYdFKݩ" """ """ ""lj5-Oo_}[ӯS+Y9{3B;:,Gy==$UZI\Xj|M(cH t[Ӗ}ʥu/6;Ŧ_ f7ݮD:rLV\j|T:T_ŭ;3_,P'Q-y&jگ'fzc{$cd{kw" """ """ Odh~d}ڑYdFKݩ" """ """ ,MYNdI + Lqnw5!7e!e41LkI6cw;UX+{xPY;?̝=4D@DDKͺiW٩jt30kAiQUőIL]FwBfb59 Z\8#B:xAfgN2)*g}G;.428S{Ox> dD@DDD@DD̖/R+5b"@DDD@DDD@]{mzidi]Ŭh$UcS*^<4;u1I=wt ̢]X +H (GH[K_#c#ccckZ6""" "" =n eo'7h(l .V&-n{ff~hoY_iURo j|m:h;ʠ/5d4n1\-3 a{ÇB" """ Odh~d}ڑYdFKݩ" """ "⫨}MTAcw+Z$ ,dz5u m➦;HQݶ;C܃)]NվL}O񔎅VXm8͊ee%3x'Ŭ6fMe2X|\OROz{[2'd_(lwjV<.HZz3{(52SݔY90ߢӗ]==];骠x$>9Xq@eM,OvIÚt+fziQc}M㓸}Pfgrڨ9Vꗙe=zGu>U]$|X.g,i-g6v7uOdh~d}ڑY h{X4۳r^a\G@N덴Zr}'^A +e.#fW>]Ks3oڟ6=3[kmGr0,~HRʂ֚| 8*dBWRS V3 BV?lҨ2sPG5:IJ{n:[ynX ei柣~ퟞyaClw}G)e8P vpAg00WIDATh_ha?gK)׋V" (nFYH& Qr$Ņ#zɟPl% KOdSVvqޯ gsvsy?oOyyz_ :#WQbl|78}:c D"YI8nϞLn޼ajZ"9Qu+)9aӧD׵;F{ZnTU`ʳ*h[^y}h{6iִ4OF@׮]|0DSo7.Oo:fMg,04_ g͕3JS+sE 7,צ߶( 9%n` 8 ,0?]M{sg\غZ.LDDk}ZX5jwih%>'%F{rEN? 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Arias. @c See the file copying.texinfo for copying conditions. @node Examples statics, Rigid statics, Statics, Top @chapter Examples statics @cindex Examples statics @menu * Example 1 (s):: * Example 2 (s):: * Example 3 (s):: * Example 4 (s):: * Example 5 (s):: * Example 6 (s):: * Example 7 (s):: * Example 8 (s):: * Example 9 (s):: @end menu @node Example 1 (s), Example 2 (s), Examples statics, Examples statics @section Example 1 @cindex Example 1 (s) Calculate the resultant of the three following forces: @center @image{s-e1-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the Static group and, inside this, the Particles module. Erase the content of the chalkboard and select the SI system. And add one element Point. Now, add two elements Oblique force, one element Horizontal force and one element Resultant. As show the image below: @center @image{s-e1-2, 5cm} To the element Point we have: @sp 1 @table @strong @item Name Point @end table @sp 1 Remember that this name is irrelevant. To the element Horizontal force write: @sp 1 @table @strong @item f 50 @end table @sp 1 To the element Oblique force that pointing upwards, that correspond to the force of 75 Newtons at 50 degrees, write: @sp 1 @table @strong @item f 75 @item ang 50 @end table @sp 1 To the element Oblique force that pointing downwards, that correspond to the force of 35 Newtons at 35 degrees, write: @sp 1 @table @strong @item f 35 @item ang 35 @end table @sp 1 And to the element Resultant, write: @sp 1 @table @strong @item f r @item ang ang @end table @sp 1 Now click in the icon Solve to get the answer. @example r = 132.271 N ; ang = 16.415 degrees ; Status = success. @end example @page @node Example 2 (s), Example 3 (s), Example 1 (s), Examples statics @section Example 2 @cindex Example 2 (s) A block with a mass of 5 kg, is above a 30 degrees inclined plane. A string keep the block in rest (see image). If there isn't friction, which is the value of the stress in the string?. @center @image{s-e2-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Select the Static group and, inside this, the Particles module. Erase the content of the chalkboard and select the SI system. And add two elements Oblique force, one element Block above an inclined plane to the right and one element Stationary reference system, to make the free body diagram of the block. As show the image below: @center @image{s-e2-2, 5cm} To the Stationary reference system: @sp 1 @table @strong @item g 9.81 @end table @sp 1 To the element Block above an inclined plane to the right write: @sp 1 @table @strong @item m 5 @item ang 30 @end table @sp 1 To the element Oblique force, that correspond to the normal force, its angle is 60 degrees (if the plane is inclined 30 degrees, the normal force is inclined 60 degrees). Then write: @sp 1 @table @strong @item f n @item ang 60 @end table @sp 1 To the Oblique force that correspond to the stress in the string, the angle is the 30 degrees (this force is parallel to the plane). Then write: @sp 1 @table @strong @item f t @item ang 30 @end table @sp 1 Now click in the icon Solve to get the answer. @example t = 24.525 N ; n = 42.479 ; Status = success. @end example @page @node Example 3 (s), Example 4 (s), Example 2 (s), Examples statics @section Example 3 @cindex Example 3 (s) A block, with a mass of 3 kg, is maintained against the wall, to a horizontal force F. If the friction coefficient between the block and wall is 0.25, which is the minimal force F, to avoid the fallen of the block? @center @image{s-e3-1, 3cm} @sp 2 @strong{Solution with FisicaLab} The minimal force F, correspond to the case when the friction force is maximum. With this in mind, erase the content of the chalkboard ans select the SI system, and add two elements Horizontal force, one element Friction, one element Block and one element Stationary reference system, to make the free body diagram of the block. As show the image below: @center @image{s-e3-2, 4cm} To the Stationary reference system: @sp 1 @table @strong @item g 9.81 @end table @sp 1 To the element Block, write: @sp 1 @table @strong @item m 3 @end table @sp 1 To the element Horizontal force that correspond to the force F, write: @sp 1 @table @strong @item f F @end table Because is an unknown data. To the element Horizontal force that correspond to the normal force, write: @table @strong @item f n @end table @sp 1 Is an unknown data too. Now, to the element Friction write: @sp 1 @table @strong @item Normal n @item u 0.25 @end table @sp 1 Now click in the icon Solve to get the answer. @example F = 117.720 N ; n = 117.720 N ; Status = success. @end example @page @node Example 4 (s), Example 5 (s), Example 3 (s), Examples statics @section Example 4 @cindex Example 4 (s) At what angle will start to slide a block of 3.7 kg when the coefficient of friction is 0.39? @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard and select the SI system, and add one element Stationary reference system, one element Block above an inclined plane (to right or left), one element Force, one element Friction and one element Angles. And make the free body diagram as show the image below: @center @image{s-e4, 6cm} The element Stationary reference system write to default the gravity value. To the element Block above an inclined plane write the mass data. And the angle as an unknown: @sp 1 @table @strong @item m 3.7 @item ang ang1 @end table @sp 1 To the element Force, which represent the normal force, both entries are unknown: @sp 1 @table @strong @item f normal @item ang ang2 @end table @sp 1 And to the element Friction write the normal force and the given coefficient: @sp 1 @table @strong @item Normal normal @item u 0.39 @end table @sp 1 And to the element Angles, add the two unknown angles that must be complementary: @sp 1 @table @strong @item ang1 ang1 @item ang2 ang2 @end table @sp 1 Now click in the icon Solve to get the answer: @example ang1 = 21.306 degrees ; ang2 = 68.694 ; normal = 33.816 N ; Status = success. @end example @page @node Example 5 (s), Example 6 (s), Example 4 (s), Examples statics @section Example 5 @cindex Example 5 (s) In the system shown in the image, if the stress in the string A is 2 Newtons. Which is the stress in the string B? Which is the mass block? @sp 1 @center @image{s-e5-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, un elemento Punto, y un elemento Bloque. Al elemento Punto le agregamos tres elementos Fuerza, y al elemento Bloque solamente uno, para formar dos diagramas de cuerpo libre, tal y como se muestra en la siguiente imagen: @center @image{s-e5-2, 4cm} The element Stationary reference system write to default the gravity value. To the element Point the name is irrelevant. To the oblique force, that correspond to the stress in the string A, write: @sp 1 @table @strong @item f 2 @item ang 35 @end table @sp 1 To the oblique force that correspond to the stress in the string B, write: @sp 1 @table @strong @item f B @item ang 22 @end table @sp 1 Because the magnitude of the force is an unknown data. To the vertical force, applied to the Point, that correspond to the stress in the string that support the block, write: @sp 1 @table @strong @item f t @end table @sp 1 Is an unknown data. To the element Block, write: @sp 1 @table @strong @item m m @end table @sp 1 Because its mass is an unknown data. To the vertical force, applied to the block, write the same unknown data assigned to the vertical force applied to the Point (is the same string): @sp 1 @table @strong @item f t @end table @sp 1 Now click in the icon Solve to get the answer. @example t = 1.809 N ; B = 1.767 N ; m = 0.184 kg ; Status = success. @end example @page @node Example 6 (s), Example 7 (s), Example 5 (s), Examples statics @section Example 6 @cindex Example 6 (s) A block of 5 kg is supported to a spring as show the image. If the spring constant is 500 N/m. Which is the stress in the string? How much the spring is stretched? @center @image{s-e6-1, 3cm} @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard and select the SI system, and add one element Spring, one element Block, and one element Stationary reference system. Then add one element Force to the element Spring, and one element Force to the element Block, to make two free body diagrams as show the image below: @center @image{s-e6-2, 3cm} The element Stationary reference system write to default the gravity value. To the element Block, write: @sp 1 @table @strong @item m 5 @end table @sp 1 To the vertical force applied to the spring, that is an unknown data, write: @sp 1 @table @strong @item f t @end table @sp 1 To the element Spring, the length stretched is an unknown data, write: @sp 1 @table @strong @item k 500 @item d d @end table @sp 1 To the vertical force applied to the block, that is an unknown data and the same unknown data that to the other force, write: @sp 1 @table @strong @item f t @end table @sp 1 Now click in the icon Solve to get the answer. @example t = 49.050 N ; d = 0.098 m ; Status = success. @end example @page @node Example 7 (s), Example 8 (s), Example 6 (s), Examples statics @section Example 7 @cindex Example 7 (s) A spring support a block of unknown mass, see image below. If the constant spring is 150 N/m, and this is stretched 5 cm, Which is the mass of the block in grams? @center @image{s-e7-1, 3cm} @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard and select the SI system, and add one element Spring, one element Block, and one element Stationary reference system. Then add one element Force to the element Spring, and one element Force to the element Block, to make two free body diagrams as show the image below: @center @image{s-e7-2, 3cm} The element Stationary reference system write to default the gravity value. To the element Block, write: @sp 1 @table @strong @item m m @@ g @end table @sp 1 Because the mass is an unknown data, and we want this in grams. To the vertical force applied to the block, that is an unknown data, write: @sp 1 @table @strong @item f f @end table @sp 1 To the element Spring, write: @sp 1 @table @strong @item k 150 @item d -5 @@ cm @end table @sp 1 The negative sign is because the spring is stretched. To the vertical force applied to the block, that is an unknown data and the same unknown data that to the other force, write: @sp 1 @table @strong @item f f @end table @sp 1 Now click in the icon Solve to get the answer. @example f = 7.500 N ; m = 764.526 g ; Status = success. @end example @page @node Example 8 (s), Example 9 (s), Example 7 (s), Examples statics @section Example 8 @cindex Example 8 (s) In the system shown in the image. Which is the value of the force F? @sp 1 @center @image{s-e8-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard and select the SI system, and add the necessary elements to make the three free body diagrams as show the image below (The white circles are just for clarify): @center @image{s-e8-2, 5cm} To the element Block, write: @sp 1 @table @strong @item m 7 @end table @sp 1 To the element force applied to the block, its values is an unknown data, calling this t1, write: @sp 1 @table @strong @item f t1 @end table @sp 1 To the elements Pulley the names are irrelevant. To the downwards vertical force applied to the pulley immediately above the block, write: @sp 1 @table @strong @item f t1 @end table @sp 1 Is the same string that support the block. In that pulley, the two upwards vertical forces, are unknown data, and the same unknown data, because is the same string. Calling this t2, write to both forces: @sp 1 @table @strong @item f t2 @end table @sp 1 In the other pulley, the downwards vertical force, and the oblique force are the same string, then to the vertical force write: @sp 1 @table @strong @item f t2 @end table @sp 1 And to the oblique force, write: @sp 1 @table @strong @item f t2 @item ang 25 @end table @sp 1 The others two forces are the reactions that support the pulley. Calling Ry the vertical reaction, write: @sp 1 @table @strong @item f Ry @end table @sp 1 And calling Rx the horizontal reaction, write: @sp 1 @table @strong @item f Rx @end table @sp 1 Now click in the icon Solve to get the answer. @example t2 = 34.335 N ; Ry = 48.846 N ; t1 = 68.670 N ; Rx = -31.118 N ; Status = success. @end example The negative sign in the Rx data is because the sense of this force, is the opposite of the force that we add to the pulley. @page @node Example 9 (s), , Example 8 (s), Examples statics @section Example 9 @cindex Example 9 (s) A block with a mass of 20 kg, is supported to a string, as shown the image. If the spring is stretched 4 centimeters, which is the constant spring? which are the reactions in A? @center @image{s-e9-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Erase the chalkboard and add the necessary elements to make three free body diagrams, as show the image below: @center @image{s-e9-2, 6cm} We don't need the reactions on the pulley, for that we don't add this. To the element Block, write: @sp 1 @table @strong @item m 20 @end table @sp 1 To the force applied to the block: @sp 1 @table @strong @item f t @end table @sp 1 To the spring write: @sp 1 @table @strong @item k k @item d 4 @@ cm @end table @sp 1 And to the forces applied to the spring, write in both: @sp 1 @table @strong @item f t @item ang 45 @end table @sp 1 Here the angle is irrelevant. The magnitude of the oblique force applied to the point, is an unknown data, but is the same unknown data applied to the spring. Then write: @sp 1 @table @strong @item f t @item ang 45 @end table @sp 1 We calling the reactions forces applied to the point, Ry and Rx, respectively. Then write: @sp 1 @table @strong @item f Ry @end table @sp 2 @table @strong @item f Rx @end table @sp 1 Now click in the icon Solve to get the answer. @example t = 196.200 N ; k = 4905.000 N/m ; Rx = 138.734 N ; Ry = -138.734 N ; Status = success. @end example The negative sign in the Ry data is because the sense of this force, is the opposite of the force that we add to the pulley. trunk/Documentation/Manual/English/calorimetry.texinfo0000777000076400007640000003602412734077052023127 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Calorimetry, Examples calorimetry, Examples circular dynamics, Top @chapter Calorimetry @cindex Calorimetry In this module only the SI system is available, with the following conversion factors: @sp 2 @table @strong @item T metric ton @item g gram @item slug slug @item C degree Celsius @item R Rankin @item F degree Farenheit @item cm centimeter @item mm millimeter @item ft feet @item in inch @item h hour @item min minute @item cm2 squared centimeters @item mm2 squared millimeters @item ft2 squared feet @item in2 squared inch @item cm3 cubic centimeters @item mm3 cubic millimeters @item ft3 cubic feet @item in3 cubic inch @item L liter @item psi pound per squared inch @item atm atmosphere @item bar bar @item Torr Torricelli @item mmHg millimeters of mercury @item J/kg*C Joules per kilogram Celsius @item cal/g*K calorie per gram Kelvin @item kcal/kg*K kilocalorie per kilogram Kelvin @item cal/g*C calorie per gram Celsius @item kcal/kg*C kilocalorie per kilogram Celsius @item cal/g calorie per gram @item kcal/kg kilocalorie per kilogram @item kWh kilo Watts hour @item Btu British thermal unit @item kcal kilocalorie @item cal calorie @item hp horsepower @item Btu/h British thermal unit per hour @item lb*ft/s pound feet per second @item m3/min cubic meters per minute @item ft3/s cubic feet per second @item gal/min gallons per minute @item L/min liters per minute @end table @sp 2 This module have 20 elements, described below. With a description of each one, its data and its number of equations. In parentheses are shown the units used be FisicaLab (if no conversion factors are used) in cases where there may be doubt. The elements Block, Liquid, Gas, Change of state solid-liquid, Change of state liquid-gas and Process, support the application of heat elements (Heat applied, Applied heat flow, Heat extracted and Refrigeration). The heat elements are applied to other element placing these in one of the eight cells around. @page @menu * Laboratory clock: Laboratory clock (cal). * Applied heat: Applied heat (cal). * Applied heat flow: Applied heat flow (cal). * Heat extracted: Heat extracted (cal). * Refrigeration: Refrigeration (cal). * Block: Block (cal). * Liquid: Liquid (cal). * Gas: Gas (cal). * Linear expansion: Linear expansion (cal). * Superficial expansion: Superficial expansion (cal). * Volumetric expansion: Volumetric expansion (cal). * Change of state solid-liquid: Change solid-liquid (cal). * Change of state liquid-gas: Change liquid-gas (cal). * Process: Process (cal). * Calorimeter: Calorimeter (cal). * Gas at constant pressure: Gas constant pressure (cal). * Gas at constant temperature: Gas constant temperature (cal). * Gas at constant volume: Gas constant volume (cal). * Gas PV/T: Gas PV/T (cal). * Heat exchanger: Heat exchanger (cal). @end menu @node Laboratory clock (cal), Applied heat (cal), Calorimetry, Calorimetry @section Laboratory clock @cindex Laboratory clock (cal) @image{t_lab} The clock to measure the time. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item t: @tab Time during which supplied (or extracted) a heat flow. @end multitable @node Applied heat (cal), Applied heat flow (cal), Laboratory clock (cal), Calorimetry @section Applied heat @cindex Applied heat (cal) @image{en_calor} A certain amount of heat applied. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat applied (in Joules). @end multitable @node Applied heat flow (cal), Heat extracted (cal), Applied heat (cal), Calorimetry @section Applied heat flow @cindex Applied heat flow (cal) @image{f_calor} Applied heat flow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item dQ/dt: @tab Applied heat flow (in Joules per second, Watts). @end multitable @page @node Heat extracted (cal), Refrigeration (cal), Applied heat flow (cal), Calorimetry @section Heat extracted @cindex Heat extracted (cal) @image{ex_calor} A certain amount of heat extracted. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat extracted (in Joules). @end multitable @node Refrigeration (cal), Block (cal), Heat extracted (cal), Calorimetry @section Refrigeration @cindex Refrigeration (cal) @image{refri} Extracted heat flow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item dQ/dt: @tab Extracted heat flow (in Joules per second, Watts). @end multitable @page @node Block (cal), Liquid (cal), Refrigeration (cal), Calorimetry @section Block @cindex Block (cal) @image{bloque_c} Some amount of matter in solid state. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the block. @item m: @tab Mass. @item c: @tab Specific heat of material (in J/kg*K). @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @node Liquid (cal), Gas (cal), Block (cal), Calorimetry @section Liquid @cindex Liquid (cal) @image{liquido} Some amount of matter in liquid state. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the liquid. @item m: @tab Mass. @item c: @tab Specific heat of liquid (in J/kg*K). @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Gas (cal), Linear expansion (cal), Liquid (cal), Calorimetry @section Gas @cindex Gas (cal) @image{gas} Some amount of matter in gas state. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the gas. @item m: @tab Mass. @item c: @tab Specific heat of gas (in J/kg*K). @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @node Linear expansion (cal), Superficial expansion (cal), Gas (cal), Calorimetry @section Linear expansion @cindex Linear expansion (cal) @image{dil_l} Bar that performs a linear expansion (or contraction). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item k: @tab Coefficient of linear expansion (in 1/K). @item Li: @tab Initial length. @item Lf: @tab Final length. @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Superficial expansion (cal), Volumetric expansion (cal), Linear expansion (cal), Calorimetry @section Superficial expansion @cindex Dilataci@'on superficial (cal) @image{dil_s} Surface that performs a superficial expansion (or contraction). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item k: @tab Coefficient of surface expansion (in 1/K). @item Si: @tab Initial surface. @item Sf: @tab Final surface. @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @node Volumetric expansion (cal), Change solid-liquid (cal), Superficial expansion (cal), Calorimetry @section Volumetric expansion @cindex Volumetric expansion (cal) @image{dil_v} Volume that performs a volumetric expansion (or contraction). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item k: @tab Coefficient of volumetric expansion (in 1/K). @item Vi: @tab Initial volume. @item Vf: @tab Final volume. @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Change solid-liquid (cal), Change liquid-gas (cal), Volumetric expansion (cal), Calorimetry @section Change of state solid-liquid @cindex Change of state solid-liquid (cal) @image{cfase_sl} A certain amount of matter in a change of state solid-liquid or vice versa. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the change solid-liquid. @item m: @tab Mass of matter involved in the change. @item cf: @tab Heat of fusion (in Joules per kilogram). @item Sense: @tab Sense of change of state, > (greater than) indicates a change of state from solid to liquid. Whereas that < (less than) indicates the opposite process. @end multitable @page @node Change liquid-gas (cal), Process (cal), Change solid-liquid (cal), Calorimetry @section Change of state liquid-gas @cindex Change of state liquid-gas (cal) @image{cfase_lg} A certain amount of matter in a change of state liquid-gas or vice versa. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the change liquid-gas. @item m: @tab Mass of matter involved in the change. @item cv: @tab Heat of vaporization (in Joules per kilogram). @item Sense: @tab Sense of change of state, > (greater than) indicates a change of state from liquid to gas. Whereas that < (less than) indicates the opposite process. @end multitable @page @node Process (cal), Calorimeter (cal), Change liquid-gas (cal), Calorimetry @section Process @cindex Process (cal) @image{cfase_gen} A certain amount of mass involved in a process with changes of state. The elements that may be involved in the process (5 in total, called Object 1, Object 2,...), are the blocks, liquids, gases and changes of state. Not allowed more than two changes of state per process. If the name of an object is left to '0', is assumed that this object is not involved. Also, the elements involved can not have applied heat elements (Heat applied, Applied heat flow, Heat extracted and Refrigeration). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab Name of the process. @item Object 1: @tab A block, liquid, gas or change of state involved in the process. @item Object 2: @tab A block, liquid, gas or change of state involved in the process. @item Object 3: @tab A block, liquid, gas or change of state involved in the process. @item Object 4: @tab A block, liquid, gas or change of state involved in the process. @item Object 5: @tab A block, liquid, gas or change of state involved in the process. @end multitable @page @node Calorimeter (cal), Gas constant pressure (cal), Process (cal), Calorimetry @section Calorimeter @cindex Calorimeter (cal) @image{mezcla} Calorimeter for mixing. It can accommodate four processes, blocks, liquids or gases (called Object 1, Object 2 ,...), and does not allow elements Change of state. If the name of an object is left to '0', it is assumed that the object does not participate. Moreover, the elements involved (or elements of the processes involved) can not have applied elements heat (Heat applied, Applied heat flow, Heat extracted or Refrigeration). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object 1: @tab A block, liquid, gas or process involved in the mixing. @item Object 2: @tab A block, liquid, gas or process involved in the mixing. @item Object 3: @tab A block, liquid, gas or process involved in the mixing. @item Object 4: @tab A block, liquid, gas or process involved in the mixing. @end multitable @page @node Gas constant pressure (cal), Gas constant temperature (cal), Calorimeter (cal), Calorimetry @section Gas at constant pressure @cindex Gas at constant pressure (cal) @image{gas_pc} An ideal gas at constant pressure (law of Charles and Gay-Lussac). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Vi: @tab Initial volume. @item Ti: @tab Initial temperature (in Kelvins). @item Vf: @tab Final volume. @item Tf: @tab Final temperature (in Kelvins). @end multitable @node Gas constant temperature (cal), Gas constant volume (cal), Gas constant pressure (cal), Calorimetry @section Gas at constant temperature @cindex Gas at constant temperature (cal) @image{gas_tc} An ideal gas at constant temperature (law of Boyle-Mariotte). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Pi: @tab Initial pressure (in Pascals). @item Vi: @tab Initial volume. @item Pf: @tab Final pressure (in Pascals). @item Vf: @tab Final volume. @end multitable @page @node Gas constant volume (cal), Gas PV/T (cal), Gas constant temperature (cal), Calorimetry @section Gas at constant volume @cindex Gas at constant volume (cal) @image{gas_vc} An ideal gas at constant volume. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Pi: @tab Initial pressure (in Pascals). @item Ti: @tab Initial temperature (in Kelvins). @item Pf: @tab Final pressure (in Pascals). @item Tf: @tab Final temperature (in Kelvins). @end multitable @node Gas PV/T (cal), Heat exchanger (cal), Gas constant volume (cal), Calorimetry @section Gas PV/T @cindex Gas PV/T (cal) @image{gas_pvt} An ideal gas. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Pi: @tab Initial pressure (in Pascals). @item Vi: @tab Initial volume. @item Ti: @tab Initial temperature (in Kelvins). @item Pf: @tab Final pressure (in Pascals). @item Vf: @tab Final volume. @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Heat exchanger (cal), , Gas PV/T (cal), Calorimetry @section Heat exchanger @cindex Heat exchanger (cal) @image{conden} A simple heat exchanger. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item TRi: @tab Inlet temperature of refrigerant (in Kelvins). @item TRf: @tab Outlet temperature of refrigerant (in Kelvins). @item dR/dt: @tab Flow of refrigerant (in cubic meters per second). @item cR: @tab Specific heat of refrigerant (in J/kg*K). @item TFi: @tab Initial temperature of fluid (in Kelvins). @item TFf: @tab Outlet temperature of fluid (in Kelvins). @item dF/dt: @tab Flow of fluid (in cubic meters per second). @item cF: @tab Specific heat of fluid (in J/kg*K). @end multitable trunk/Documentation/Manual/English/masaPer.png0000777000076400007640000000423112734077052021270 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~~zTXtRaw profile type 8bimxڕA0 :GhjۿHā iVInd[6 0,K)0XӘJRS$}~}[T#j4 1}BAv~ʓt+J `m!0>գ=>d$]:񦖥HCi`X?:RV=>?3tK?rH.dvb(.On)°zG̤jעӖՑQ>ƙ`Gé^P6q!,G-l ߊ-G:m)PNh:X;4 z7 *(E0<ԃid,h] puQ[V>_kZEBT׈b70b%"[qfy\ƫ> &TL`3ۗ愞 \nXٵI_rVyrHpy0')Yx#mM vAFgw *d)f:"!B`O}7qwҗP4%%`.(2-B~/GIB<$!~z> \A IK?A( hP뿅ztڎ& !HE'(#g0.,DfOIm2 .b_ZX֚f޶y.Tig' v?Fj\:v0RBc5`2n֝^ ծfm@ t: yMX;V? 1K;qNƍ=pr&mpp\X;#&eD >p zIۭހD,@POJ!͐)Xmj͊Fq ''1E}dzfpw.Z,myJXޜ=9:soeskA`l^= E(1 vpAg00W`IDATh헿kSQ?'1҂RM(."]bbA'E `:PEZܜiDQEDNvҊskEK_^~{9}{X,K$"% )S@*zWW 0d/) JN]PrfcD@+kU*``̮:͐n8Vx> pT}ȧ=  ) O7-k+1 ߹Hp4VpN^˅vyء9Ѓ V\'}fDN|2z ?R=(39)x0(81Ft,4( <J]aDaARϳRfog7Hb̉o! E7V#:D~ES4Bʸɑ U#͵׍-sv\usI VF)dLG!2۔LsHr_<̰h0,vZz6oT)RZ04c `/]^!v 0`enWtvbX,/+ҀxotEXtcommentCreated with GIMP@%tEXtdate:create2013-01-17T23:28:50-06:00Bq%tEXtdate:modify2012-05-22T12:37:48-06:00tEXttiff:alphaunassociated(GtEXttiff:document/home/german/Proyectos/GSfisica/estatica/resultante_h.tif=tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/calorimetry-examples.texinfo0000777000076400007640000004773114506447550024755 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013, 2023 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Examples calorimetry, Thermodynamics, Calorimetry, Top @chapter Examples calorimetry @cindex Examples calorimetry @menu * Example 1 (cal):: * Example 2 (cal):: * Example 3 (cal):: * Example 4 (cal):: * Example 5 (cal):: * Example 6 (cal):: * Example 7 (cal):: * Example 8 (cal):: * Example 9 (cal):: * Example 10 (cal):: * Example 11 (cal):: * Example 12 (cal):: * Example 13 (cal):: @end menu @node Example 1 (cal), Example 2 (cal), Examples calorimetry, Examples calorimetry @section Example 1 @cindex Example 1 (cal) A block of copper (specific heat 390 J/kg*K) of 0.5 kg have an initial temperature of 17 C. If this block get 150 calories, what will be its final temperature in Celsius? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Block and one element Applied heat. As show the image below: @center @image{cal-e1, 3cm} To the element Block, that represent the block of copper, we have: @sp 1 @table @strong @item Name 0 @item m 0.5 @item c 390 @item Ti 17 @@ C @item Tf tf @@ C @end table @sp 1 And to the element Applied heat: @sp 1 @table @strong @item Q 150 @@ cal @end table @sp 1 Now click in the icon Solve to get the answer: @example tf = 20.221 C ; Status = success. @end example @page @node Example 2 (cal), Example 3 (cal), Example 1 (cal), Examples calorimetry @section Example 2 @cindex Example 2 (cal) An electric heater of 1500 Watts is placed in 10 kilograms of water (specific heat 4187 J/kg*K) with an initial temperature of 24 C. What will be the final temperature of the water in Celsius, after 8 minutes (assuming that all the heat generated by the heater is absorbed by water)? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Liquid, one element Applied heat flow and one element Laboratory clock. As show the image below: @center @image{cal-e2, 3cm} To the element Liquid, the 10 kg of water, we have: @sp 1 @table @strong @item Name 0 @item m 10 @item c 4187 @item Ti 24 @@ C @item Tf tf @@ C @end table @sp 1 Now to the element Applied heat flow: @sp 1 @table @strong @item dQ/dt 1500 @end table @sp 1 And to the element Laboratory clock: @sp 1 @table @strong @item t 8 @@ min @end table @sp 1 Now click in the icon Solve to get the answer: @example tf = 41.196 C ; Status = success. @end example @page @node Example 3 (cal), Example 4 (cal), Example 2 (cal), Examples calorimetry @section Example 3 @cindex Example 3 (cal) A bar of aluminum (coefficient of linear expansion 24E-6 1/K) of 55 cm and an initial temperature of 20 C, increases its temperature to 100 C. What is the length of the bar at this temperature? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Linear expansion as show the image below: @center @image{cal-e3, 3cm} To this element, we have: @sp 1 @table @strong @item k 24E-6 @item Li 55 @@ cm @item Lf Lf @@ cm @item Ti 20 @@ cm @item Tf 100 @@ cm @end table @sp 1 Now click in the icon Solve to get the answer: @example Lf = 55.106 cm ; Status = success. @end example @page @node Example 4 (cal), Example 5 (cal), Example 3 (cal), Examples calorimetry @section Example 4 @cindex Example 4 (cal) At 24 C the volume of a recipient of copper is 1 Liter (coefficient of volumetric expansion 51E-6 1/K). What will be its volume, in liters, at 110 C? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Volumetric expansion as show the image below: @center @image{cal-e4, 3cm} To this element, we have: @sp 1 @table @strong @item k 51E-6 @item Vi 1 @@ L @item Vf Vf @ L @item Ti 24 @@ C @item Tf 110 @@ C @end table @sp 1 Now click in the icon Solve to get the answer: @example Vf = 1.004 L ; Status = success. @end example @page @node Example 5 (cal), Example 6 (cal), Example 4 (cal), Examples calorimetry @section Example 5 @cindex Example 5 (cal) How much heat must be removed to solidify 250 grams of cast iron at its melting point? Give your answer in Joules (heat of fusion of iron = 69.1 cal / g). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Change of state solid-liquid and one element Heat extracted. As show the image below: @center @image{cal-e5, 3cm} To the element Change of state, we have: @sp 1 @table @strong @item Name 0 @item m 250 @@ g @item cf 69.1 @@ cal/g @item Sense < @end table @sp 1 In the entry of @emph{Sense} we type @kbd{<} because the change of state is from liquid to solid. Now to the element Heat extracted: @sp 1 @table @strong @item Q Q @end table @sp 1 Then click in the icon Solve to get the answer: @example Q = 72330.425 J ; Status = success. @end example @page @node Example 6 (cal), Example 7 (cal), Example 5 (cal), Examples calorimetry @section Example 6 @cindex Example 6 (cal) How much heat in calories must be added to transform a block of 3 kg of ice at -5 C, in water at + 22 C? (specific heat of ice = 0.50 cal/g*K, specific heat of water = 1 cal/g*K, and heat of fusion of water = 79.7 cal/g). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Process, one element Applied heat (applied to the element Process), one element Block, one element Change of state solid-liquid and one element Liquid. As show the image below (the yellow arrows are only to indicate the direction of the process): @center @image{cal-e6, 8cm} To the element Applied heat, with the conversion factor to kilocalories, we have: @sp 1 @table @strong @item Q Q @@ cal @end table @sp 1 The element Process, whose name in this issue is irrelevant, represents the change of the water from its solid state at -5 C until liquid state at 22 C. This element must contain the element Block, which represents the water in solid state, the element Change of state solid-liquid, which represents the change of state of the water, and the element Liquid, which represents the final state of the water. These elements gonna be called @emph{Solid}, @emph{Fusion} and @emph{Liquid}, respectively. Then to the element Process we have: @sp 1 @table @strong @item Name 0 @item Object 1 Solid @item Object 2 Fusion @item Object 3 Liquid @item Object 4 0 @item Object 5 0 @end table @sp 1 Now to the element Block, which represents the water in solid state and that we will call @emph{Solid}, because this name have in the element Process, we have: @sp 1 @table @strong @item Name Solid @item m 3 @item c 0.5 @@ cal/g*K @item Ti -5 @@ C @item Tf 0 @@ C @end table @sp 1 Now the element Change of state, called @emph{Fusion}, is: @sp 1 @table @strong @item Name Fusion @item m 3 @item cf 79.7 @@ cal/g @item Sense > @end table @sp 1 And to the element Liquid, which represents the final state of the water and called @emph{Liquid}, we have: @sp 1 @table @strong @item Name Liquid @item m 3 @item c 1 @@ cal/g*K @item Ti 0 @@ C @item Tf 22 @@ C @end table @sp 1 Now click in the icon Solve to get the answer: @example Q = 312.600 kcal ; Status = success. @end example @page @node Example 7 (cal), Example 8 (cal), Example 6 (cal), Examples calorimetry @section Example 7 @cindex Example 7 (cal) How much heat, in calories, should be removed to convert 25 g of molten lead at its melting point, in solid lead at 310 C? (Specific heat of the lead = 0.031 cal/g*K, heat of fusion of the lead = 5.54 cal/g, and melting temperature of the lead = 327 C). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Process, one element Heat extracted (applied to the element Process), one element Change of state solid-liquid and one element Block. As show the image below (the yellow arrow are only to indicate the direction of the process): @center @image{cal-e7, 7cm} To the element Heat extracted, we have, using the conversion factor to calories: @sp 1 @table @strong @item Q Q @@ cal @end table @sp 1 To the element Process (the elements Block and Change of state gonna be called @emph{Solid} and @emph{Fusion} respectively), we have: @sp 1 @table @strong @item Name 0 @item Object 1 Fusion @item Object 2 Solid @item Object 3 0 @item Object 4 0 @item Object 5 0 @end table @sp 1 To the element Block, called @emph{Solid}, we have: @sp 1 @table @strong @item Name Solid @item m 25 @@ g @item c 0.031 @@ cal/g*K @item Ti 327 @@ C @item Tf 310 @@ C @end table @sp 1 Note that the initial temperature is 327 C and the final 310 C. Now to the element Change of state solid-liquid, called @emph{Fusion}, we have care with direction of the change of state (sign <). Then: @sp 1 @table @strong @item Name Fusion @item m 25 @@ g @item cf 5.54 @@ cal/g @item Sense < @end table @sp 1 Now click in the icon Solve to get the answer: @example Q = 151.675 cal ; Status = success. @end example @page @node Example 8 (cal), Example 9 (cal), Example 7 (cal), Examples calorimetry @section Example 8 @cindex Example 8 (cal) A rubber balloon inflated have a volume of 2000 cm3 at 18 C. If its temperature is increased at 30 C, What will be the new volume of the balloon (in cm3)? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Gas at constant pressure, as show the image below: @center @image{cal-e8, 3cm} To this element, with the corresponding conversion factors, we have: @sp 1 @table @strong @item Vi 2000 @@ cm3 @item Ti 18 @@ C @item Vf Vf @@ cm3 @item Tf 30 @@ C @end table @sp 1 Now click in the icon Solve to get the answer: @example Vf = 2082.435 cm3 ; Status = success. @end example @page @node Example 9 (cal), Example 10 (cal), Example 8 (cal), Examples calorimetry @section Example 9 @cindex Example 9 (cal) A certain gas have a volume of 5 liters, at 10 C and 750 mmHg of pressure. What will be the volume at 100 C and 3 atmospheres of pressure? @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Gas PV/T, as show the image below: @center @image{cal-e9, 3cm} To this element, with the corresponding conversion factors, we have: @sp 1 @table @strong @item Pi 750 @@ mmHg @item Vi 5 @@ L @item Ti 10 @@ C @item Pf 3 @@ atm @item Vf Vf @@ L @item Tf 100 @@ C @end table @sp 1 Now click in the icon Solve to get the answer: @example Vf = 2.162 L ; Status = success. @end example @page @node Example 10 (cal), Example 11 (cal), Example 9 (cal), Examples calorimetry @section Example 10 @cindex Example 10 (cal) In a plastic cup of minimum heat capacity, we mix 300 g of water at 10 C, with 185 g of water at 100 C. What is the final temperature in Celsius? (Specific heat of water = 4187 J/kg*K). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Calorimetry and two elements Liquid. As show the image below: @center @image{cal-e10, 3cm} To one of the elements Liquid, we call this A and represent the 300 g of water, we have: @sp 1 @table @strong @item Name A @item m 300 @@ g @item c 4187 @item Ti 10 @@ C @item Tf Tf @@ C @end table @sp 1 To the other element Liquid, we call this B and represent the 185 g of water, we have: @sp 1 @table @strong @item Name B @item m 185 @@ g @item c 4187 @item Ti 100 @@ C @item Tf Tf @@ C @end table @sp 1 Note that the final temperature is the same unknown data in both elements, as must be. Now to the element Calorimetry: @sp 1 @table @strong @item Object 1 A @item Object 2 B @item Object 3 0 @item Object 4 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example Tf = 44.330 C ; Status = success. @end example @page @node Example 11 (cal), Example 12 (cal), Example 10 (cal), Examples calorimetry @section Example 11 @cindex Example 11 (cal) In a calorimeter with 325 g of water at 20 C, is introduced 77 g of an unknown metal at 90 C. If the final temperature is 26 C, what is the specific heat of the metal? (Specific heat of water = 4187 J/kg*K). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Calorimetry, one element Block and one element Liquid. As show the image below: @center @image{cal-e11, 3cm} To the element Liquid, we call this @emph{Water}, we have: @sp 1 @table @strong @item Name Water @item m 325 @@ g @item c 4187 @item Ti 20 @@ C @item Tf 26 @@ C @end table @sp 1 And to the element Block, we call this @emph{Metal}, we have: @sp 1 @table @strong @item Name Metal @item m 77 @@ g @item c cM @item Ti 90 @@ C @item Tf 26 @@ C @end table @sp 1 Note that the final temperature is the same in both elements, as must be. To the element Calorimetry, we have: @sp 1 @table @strong @item Object 1 Water @item Object 2 Metal @item Object 3 0 @item Object 4 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example cM = 1656.788 J/kg*K ; Status = success. @end example @page @node Example 12 (cal), Example 13 (cal), Example 11 (cal), Examples calorimetry @section Example 12 @cindex Example 12 (cal) A calorimeter of copper (105 g) contain 307 g of water at 23 C. If we add 95 g of ice at -4 C, What is the final temperature of the system in Celsius? (Specific heat of ice = 2090 J/kg*K, specific heat of water = 4187 J/kg*K, specific heat of copper = 390 J/kg*K, and heat of fusion to the water = 79.7 cal/g). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. And add one element Calorimetry, two elements Block, two elements Liquid, one element Change of state solid-liquid and one element Process. As show the image below (yellow circle contains the elements that represent the change of the ice): @center @image{cal-e12-1, 5cm} To the element Block, that represent the calorimeter of copper and gonna be called @emph{Copper}, we have: @sp 1 @table @strong @item Name Copper @item m 105 @@ g @item c 390 @item Ti 23 @@ C @item Tf Tf @@ C @end table @sp 1 To the element Liquid, that represent the water into the calorimeter and gonna be called @emph{Water}, we have: @sp 1 @table @strong @item Name Water @item m 307 @@ g @item c 4187 @item Ti 23 @@ C @item Tf Tf @@ C @end table @sp 1 Now, let's assume that the ice melts completely and that the resulting liquid reaches a higher temperature at 0 C. Then to the second element Block, representing the ice in the temperature range of -4 C to 0 C and gonna be called @emph{IceA}, we have: @sp 1 @table @strong @item Name IceA @item m 95 @@ g @item c 2090 @item Ti -4 @@ C @item Tf 0 @@ C @end table @sp 1 Now to the element Change of state solid-liquid, representing the melting of ice and gonna be called @emph{IceB}, we have: @sp 1 @table @strong @item Name IceB @item m 95 @@ g @item cf 79.7 @@ cal/g @item Sense > @end table @sp 1 And to the second element Liquid, representing liquid water obtained by melting ice and gonna be called @emph{IceC}, we have: @sp 1 @table @strong @item Name IceC @item m 95 @@ g @item c 4187 @item Ti 0 @@ C @item Tf Tf @@ C @end table @sp 1 Now to the element Process, which represents the total change suffered by the ice water and gonna be called @emph{Ice}, we have: @sp 1 @table @strong @item Name Ice @item Object 1 IceA @item Object 2 IceB @item Object 3 IceC @item Object 4 0 @item Object 5 0 @end table @sp 1 Note that the unknown data of the final temperature is the same in all elements, as must be. Therefore, to the element Calorimeter: @sp 1 @table @strong @item Object 1 Copper @item Object 2 Water @item Object 3 Ice @item Object 4 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example Tf = -1.154 C ; Status = success. Verify that the calculated temperature is within the range expected. Otherwise, some process or change never takes place because the energy isn't enough. @end example The warning message tells us that we must verify that the final temperature is within the expected range. Obviously the obtained final temperature is not within the expected range, since we assume that the ice has completely melted and the resulting liquid water took on a final temperature above 0 C. This suggests (as tells us the warning message) that some process is not carried out. The immediate possibility is that the energy of the calorimeter and water, is not enough to melt all the ice. So let's assume that the ice reaches the 0 C, but only part of it melts. Thus removing the element Liquid, which represents the resulting water ice, and also delete its name from the element Process. Then the final temperature isn't an unknown data, because if only part of the ice melts, then the final temperature is 0 C. The new unknown data is the mass of ice that melts. Thus, with this new hypothesis the elements to the problem are as shown the image below: @center @image{cal-e12-2, 4cm} We must delete the element @emph{IceC} in the element Process: @sp 1 @table @strong @item Name Ice @item Object 1 IceA @item Object 2 IceB @item Object 3 0 @item Object 4 0 @item Object 5 0 @end table @sp 1 In the element Change of state solid-liquid, the mass is now the unknown data (we add the conversion factor to grams): @sp 1 @table @strong @item Name IceB @item m m @@ g @item cf 79.7 @@ cal/g @item Sense > @end table @sp 1 In the elements that represent the copper and its water, the final temperature is now 0 C: @sp 1 @table @strong @item Name Copper @item m 105 @@ g @item c 390 @item Ti 23 @@ C @item Tf 0 @@ C @end table @sp 2 @table @strong @item Name Water @item m 307 @@ g @item c 4187 @item Ti 23 @@ C @item Tf 0 @@ C @end table @sp 1 Now click in the icon Solve to get the answer: @example m = 89.037 g ; Status = success. @end example Therefor, the final temperature is 0 C, with only 89 g of melting ice. @page @node Example 13 (cal), , Example 12 (cal), Examples calorimetry @section Example 13 @cindex Example 13 (cal) One type of oil (specific heat 0.51 cal/g*K) is cooled in a heat exchanger. If the oil, with a flow of 3 L/min, enters to the heat exchanger at 72 C and exits with a temperature of 27 C, What is the flow of the water, used as refrigerant (specific heat 4187 J/kg*K), if this enters with a temperature of 20 C and exits with a temperature of 63 C? Give your answer on L/min. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Calorimetry and gases module. Erase the content of the chalkboard. 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Arias. @c See the file copying.texinfo for copying conditions. @node Examples statics rigid bodies, Dynamics, Rigid statics, Top @chapter Examples statics rigid bodies @cindex Examples statics rigid bodies @menu * Example 1 (rs):: * Example 2 (rs):: * Example 3 (rs):: * Example 4 (rs):: * Example 5 (rs):: * Example 6 (rs):: * Example 7 (rs):: * Example 8 (rs):: * Example 9 (rs):: * Example 10 (rs):: * Example 11 (rs):: * Example 12 (rs):: * Example 13 (rs):: @end menu @node Example 1 (rs), Example 2 (rs), Examples statics rigid bodies, Examples statics rigid bodies @section Example 1 @cindex Example 1 (rs) Calculate the resultant, at point A, of the forces applied to the piece. @center @image{sr-e1-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Points, four elements Point, one element Resultant and three elements Force, as show the image below: @center @image{sr-e1-2, 7cm} To the element Points, we call this @emph{Piece}: @sp 1 @table @strong @item Name Piece @end table @sp 1 To the element Point that represent the corner A, assuming this is at the origin, we have: @sp 1 @table @strong @item Name Piece @item x 0 @item y 0 @end table @sp 1 Now to the element Point at corner B: @sp 1 @table @strong @item Name Piece @item x 30 @@ cm @item y 20 @@ cm @end table @sp 1 And to the applied force at this corner: @sp 1 @table @strong @item f 20 @end table @sp 1 To the element Point at corner C: @sp 1 @table @strong @item Name Piece @item x 75 @@ cm @item y 20 @@ cm @end table @sp 1 And to the applied force here: @sp 1 @table @strong @item f 30 @item ang 55 @end table @sp 1 To corner D: @sp 1 @table @strong @item Name Piece @item x 45 @@ mm @item y 0 @end table @sp 1 And to the force: @sp 1 @table @strong @item f 17 @item ang 40 @end table @sp 1 Now to the element Resultant: @sp 1 @table @strong @item M Mr @item f Fr @item ang angr @end table @sp 1 Now click in the icon Solve to get the answer: @example Mr = -2.296 N*m ; Fr = 33.906 N ; angr = 277.089 degrees ; Status = success. @end example @page @node Example 2 (rs), Example 3 (rs), Example 1 (rs), Examples statics rigid bodies @section Example 2 @cindex Example 2 (rs) Calculate the resultant, at point O, of the applied force (ignore the weight of the beam). @center @image{sr-e2-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the English system. And add one element Stationary reference system, one element Beam, two elements of beam, one element Force and one element Resultant with vertical force, as show the image below: @center @image{sr-e2-2, 6cm} The element Stationary reference system set, to default, the gravity value: @sp 1 @table @strong @item g 32.2 @end table @sp 1 To the element Beam, we call this @emph{Beam}, we have: @sp 1 @table @strong @item Name Beam @item m 0 @item lc 0 @item ang 55 @end table @sp 1 Here we have 0 to the mass, because we must ignore the weight of the beam. To the element of beam that represent the lower side, we have: @sp 1 @table @strong @item Name Beam @item l 0 @end table @sp 1 And to the element Resultant applied here: @sp 1 @table @strong @item M Mr @item f Fr @end table @sp 1 To the other element of beam, we have: @sp 1 @table @strong @item Name Beam @item l 27 @@ in @end table @sp 1 And to the applied force: @sp 1 @table @strong @item f 85 @end table @sp 1 Now click in the icon Solve to get the answer: @example Mr = -109.696 lb*ft ; Fr = -85.000 lb ; Status = success. @end example @page @node Example 3 (rs), Example 4 (rs), Example 2 (rs), Examples statics rigid bodies @section Example 3 @cindex Example 3 (rs) If we want to replace the two forces of 175 N and 380 N force with a single force applied at point P as shown the image, What should be the distance from point P to point O and the magnitude of this force? (The beam and the drum form a rigid body) @center @image{sr-e3-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. This problem can be solved on different ways, here we will solve it as follow. First add one element Points, three elements point and the necessary elements force and resultant, as show the image below. Our initial intention is calculate the couple of the pair of 175 N forces, at point O. @center @image{sr-e3-2, 4cm} To the element Points, that represent the different points of the drum and that we call @emph{Drum}, we have: @sp 1 @table @strong @item Name Drum @end table @sp 1 To the element Point that represent the center O, we assume this at origin: @sp 1 @table @strong @item Name Drum @item x 0 @item y 0 @end table @sp 1 And to the element Resultant applied here: @sp 1 @table @strong @item M Mr @item f Fr @end table @sp 1 Now to the upper point, we have: @sp 1 @table @strong @item Name Drum @item x 0 @item y 45 @@ mm @end table @sp 1 And to the lower point: @sp 1 @table @strong @item Name Drum @item x 0 @item y -45 @@ mm @end table @sp 1 And to the two applied forces: @sp 1 @table @strong @item f 175 @end table @sp 1 Now click in the icon Solve to get the answer: @example Mr = -15.750 N*m ; Fr = 0.000 N ; Status = success. @end example Now that we know the moment of the pair of 175 N forces, erase the content of chalkboard and add the necessary elements as show the image below: @center @image{sr-e3-3, 6cm} The Stationary reference system set the gravity value to default. Now to the element Beam, we call this @emph{Beam}, we have: @sp 1 @table @strong @item Name Beam @item m 0 @item lc 0 @item ang 60 @end table @sp 1 Here we ignore the weight of the beam. To the element of beam that represent the lower side and to the applied couple (the previous calculated value), we have: @sp 1 @table @strong @item Name Beam @item l 0 @end table @sp 2 @table @strong @item M -15.750 @end table @sp 1 Now to the element of beam where is applied the other force, and to this force, we have: @sp 1 @table @strong @item Name Beam @item l 28 @@ cm @end table @sp 2 @table @strong @item f 380 @end table @sp 1 To the element of beam that represent the point P: @sp 1 @table @strong @item Name Beam @item l d @end table @sp 1 Here the distance is an unknown data. And to the resultant applied here: @sp 1 @table @strong @item M 0 @item f Fr @end table @sp 1 Here the couple is 0, because we want just a force, which is an unknown data. Now click in the icon Solve to get the answer: @example d = 0.363 m ; Fr = -380.000 N ; Status = success. @end example @page @node Example 4 (rs), Example 5 (rs), Example 3 (rs), Examples statics rigid bodies @section Example 4 @cindex Example 4 (rs) Calculate the resultant, at joint O, of the applied forces. @center @image{sr-e4-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Beam, three elements of beam and the necessary elements Force and Resultant, as show the image below: @center @image{sr-e4-2, 6cm} The gravity value is added to default. Now to the element Beam, that we call @emph{Beam}, we have: @sp 1 @table @strong @item Name Beam @item m 0 @item lc 0 @item ang 55 @end table @sp 1 To the element of beam that represent the lower side, and to the resultant applied here, we have: @sp 1 @table @strong @item Name Beam @item l 0 @end table @sp 2 @table @strong @item M Mr @item f Fr @item ang angr @end table @sp 1 On the resultant element all are unknown data. Now to the element of beam that represent the point A, and to the applied force, we have: @sp 1 @table @strong @item Name Name @item l 62 @@ cm @end table @sp 2 @table @strong @item f 50 @item ang 15 @end table @sp 1 To the element of beam that represent the point B and to the applied force, we have: @sp 1 @table @strong @item Name Beam @item l 90 @@ cm @end table @sp 2 @table @strong @item f 50 @item ang 15 @end table @sp 1 Now click in the icon Solve to get the answer: @example Mr = -8.999 N*m ; Fr = 0.000 N ; angr = 208.262 degrees ; Status = success. @end example As we expected the resultant is only a couple. Here the angle is irrelevant. @page @node Example 5 (rs), Example 6 (rs), Example 4 (rs), Examples statics rigid bodies @section Example 5 @cindex Example 5 (rs) Calculate the support reactions, knowing that the beam has a mass of 4 kg and a length of 2.1 m. @center @image{sr-e5-1, 8cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Beam, six elements of beam and the necessary elements Force, as show the image below: @center @image{sr-e5-2, 8cm} The Stationary reference system set the gravity value to default. Now to the element Beam, that we call @emph{Beam} and assuming has its center of mass at middle, we have: @sp 1 @table @strong @item Name Beam @item m 4 @item lc 1.05 @item ang 0 @end table @sp 1 Now to the elements of beam and its applied forces we have, from left to right: @sp 1 @table @strong @item Name Beam @item l 12 @@ cm @end table @sp 2 @table @strong @item f 30 @end table @sp 1 To the element at 40 cm from the left side, we call RA the reaction: @sp 1 @table @strong @item Name Beam @item l 40 @@ cm @end table @sp 2 @table @strong @item f RA @end table @sp 1 At 85 cm from the left side: @sp 1 @table @strong @item Name Beam @item l 85 @@ cm @end table @sp 2 @table @strong @item f 24 @end table @sp 1 At 110 cm: @sp 1 @table @strong @item Name Beam @item l 110 @@ cm @end table @sp 2 @table @strong @item f 45 @end table @sp 1 At 160 cm, we call RB the reaction: @sp 1 @table @strong @item Name Beam @item l 160 @@ cm @end table @sp 2 @table @strong @item f RB @end table @sp 1 And at 195 cm, the last element: @sp 1 @table @strong @item Name Beam @item l 195 @@ cm @end table @sp 2 @table @strong @item f 33 @end table @sp 1 Now click in the icon Solve to get the answer: @example RB = 92.130 N ; RA = 79.110 N ; Status = success. @end example @page @node Example 6 (rs), Example 7 (rs), Example 5 (rs), Examples statics rigid bodies @section Example 6 @cindex Example 6 (rs) If the tension in the cable BC is 155 N, what are the reactions at A? (The mass of the beam is 3 kg and its center of mass is 75 cm from A). @center @image{sr-e6-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Beam, three elements of beam and the necessary elements Force and Couple, as show the image below: @center @image{sr-e6-2, 6cm} The Stationary reference system set the gravity value to default. Now to the element Beam, that we call @emph{Beam}: @sp 1 @table @strong @item Name Beam @item m 3 @item lc 75 @@ cm @item ang 0 @end table @sp 1 To the element of beam at side A, we have: @sp 1 @table @strong @item Name Beam @item l 0 @end table @sp 1 And to the forces and couple applied, all unknown data, we have: @sp 1 @table @strong @item f Ry @end table @sp 2 @table @strong @item f Rx @end table @sp 2 @table @strong @item M M @end table @sp 1 To the element of beam where the mass is hanging: @sp 1 @table @strong @item Name Beam @item l 0.9 @end table @sp 1 And to the applied force, the weight of the mass (@code{18 kg*9.81 m/s2 = 176.58 N}), we have: @sp 1 @table @strong @item f 176.58 @end table @sp 1 And to the element of beam that represent the right side: @sp 1 @table @strong @item Name Beam @item l 1.3 @end table @sp 1 And to the applied force by the cable: @sp 1 @table @strong @item f 155 @item ang 35 @end table @sp 1 Now click in the icon Solve to get the answer: @example Ry = 117.106 N ; Rx = 126.969 N ; M = 65.419 N*m ; Status = success. @end example @page @node Example 7 (rs), Example 8 (rs), Example 6 (rs), Examples statics rigid bodies @section Example 7 @cindex Example 7 (rs) What is the maximum force F that can be applied without tipping the piece? (The mass of the piece is 3.5 kg and the mass center point is indicated by the 18 cm). @center @image{sr-e7-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Solid, two elements of solid and the necessary elements Force, as show the image below: @center @image{sr-e7-2, 5cm} The Stationary reference system set the gravity value to default. Now to the element Solid, that we call @emph{Piece}, we have: @sp 1 @table @strong @item Name Piece @item m 3.5 @item xc 18 @@ cm @item yc 0 @item ang 0 @end table @sp 1 To the element of solid that represent the corner where is applied the force F, we have: @sp 1 @table @strong @item Name Piece @item x 50 @@ cm @item y 0 @end table @sp 1 And to the applied force here, that is an unknown data: @sp 1 @table @strong @item f F @end table @sp 1 The other element of solid represent the lower right corner, because when the tipping is imminent, the normal force is applied here. Therefore, we have: @sp 1 @table @strong @item Name Piece @item x 25 @@ cm @item y 0 @end table @sp 1 And to the applied force, that represent the normal force and that is an unknown data: @sp 1 @table @strong @item f N @end table @sp 1 Now click in the icon Solve to get the answer: @example N = 43.949 N ; F = 9.614 N ; Status = success. @end example @page @node Example 8 (rs), Example 9 (rs), Example 7 (rs), Examples statics rigid bodies @section Example 8 @cindex Example 8 (rs) A uniform block of 4 kg, as show the image, is placed on a slope. What is the maximum angle of inclination of the plane, so that the block does not slide or tipping (whichever comes first)? (The coefficient of friction between the block and the plane is 0.4). @center @image{sr-e8-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Solid, one element of Solid, one element Angles and the necessary elements Force and Friction, as show the image below: @center @image{sr-e8-2, 5cm} Our intention to introduce a frictional force is find the angle when the slip is imminent. Thus, the block element represents the point where is applied the normal and here we apply the friction force too (we can move the friction along its action line, so we can apply it in this element). The Stationary reference system set the gravity value to default. Now on the element Solid, that we call @emph{Block}, we have: @sp 1 @table @strong @item Name Block @item m 4 @item xc 8 @@ cm @item yc 18 @@ cm @item ang ang1 @end table @sp 1 Here the angle is an unknown data. To the element of solid, we have: @sp 1 @table @strong @item Name Block @item x x @@ cm @item y 0 @end table @sp 1 The x coordinate is unknown. This must be so. Because when the sliding of block is imminent, we don't know at where is applied the normal force. Now to the normal force: @sp 1 @table @strong @item f normal @item ang ang2 @end table @sp 1 To the element Friction: @sp 1 @table @strong @item Normal normal @item ang ang1 @item u 0.4 @end table @sp 1 The angle is the same as of the block. Because the friction is parallel to the plane. Now to the element Angles, we have: @sp 1 @table @strong @item ang1 ang1 @item ang2 ang2 @end table @sp 1 Because these angles must be complementary. Once entered the data, click on the icon Solve to get the answer: @example normal = 36.433 N ; ang1 = 21.801 degrees ; ang2 = 68.199 degrees ; x = 0.800 cm ; Status = success. @end example Then, the angle when the sliding of block is imminent is 21.801 degrees (As we expected, because @code{arctan 0.4 = 21.801}). In the case of a negative value, this would mean that the block has already overturned. @page @node Example 9 (rs), Example 10 (rs), Example 8 (rs), Examples statics rigid bodies @section Example 9 @cindex Example 9 (rs) A uniform ladder, of 3.5 kg and 3.8 m long, rests against a wall as show the image. If a child with a mass of 40 kg, ups to the fourth step at 3.2 m from the base, find the angle for which this position corresponds to the slip imminent if the coefficient of friction between the ladder and the floor is 0.35 (there is no friction between the ladder and the wall). @center @image{sr-e9-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Beam, three elements of beam and the necessary elements Force and Friction, as show the image below: @center @image{sr-e9-2, 8cm} The Stationary reference system set the gravity value to default. Now to the element Beam, that we call @emph{Ladder}, recalling that the ladder is uniform and that the angle is unknown: @sp 1 @table @strong @item Name Ladder @item m 3.5 @item lc 1.9 @item ang ang @end table @sp 1 To the element of beam that represent the lower side, we have: @sp 1 @table @strong @item Name Ladder @item l 0 @end table @sp 1 And to the normal force and the friction: @sp 1 @table @strong @item f N @end table @sp 2 @table @strong @item Normal N @item u 0.35 @end table @sp 1 Now to the element that represent the point where the child is supported, we have: @sp 1 @table @strong @item Name Ladder @item l 3.2 @end table @sp 1 And to the force that represent the weight of this child (@code{40 kg*9.81 m/s2 = 392.4 N}): @sp 1 @table @strong @item f 392.4 @end table @sp 1 Finally, to the element that represent the upper side: @sp 1 @table @strong @item Name Ladder @item l 3.8 @end table @sp 1 And to the force that represent the reaction of the wall: @sp 1 @table @strong @item f Rx @end table @sp 1 Now click in the icon Solve to get the answer: @example Rx = 149.357 N ; ang = 66.748 degrees ; N = 426.735 N ; Status = success. @end example @page @node Example 10 (rs), Example 11 (rs), Example 9 (rs), Examples statics rigid bodies @section Example 10 @cindex Example 10 (rs) Consider the structure in the image below. Calculate reactions at O and reactions between the beams at points A, B and C. Ignore the weight of the beams. @center @image{sr-e10-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, three elements Beam, seven elements of beam and the necessary elements Force and Couple, as show the image below (the yellow lines separate the areas where are defined the beams): @center @image{sr-e10-2, 9cm} In the image can be seen that, according to Newton's third law, the reactions between the beams have a different sense. And we assign the same magnitude or unknown data. The Stationary reference system set the gravity value to default. Now to the element Beam that represent the vertical beam, that we call @emph{OAB}: @sp 1 @table @strong @item Name OAB @item m 0 @item lc 0 @item ang 90 @end table @sp 1 This beam is composed of three elements, which represent the points O, A and B. For the element in O, and their respective reactions, called Rx, Ry, M, we have: @sp 1 @table @strong @item Name OAB @item l 0 @end table @sp 2 @table @strong @item f Rx @end table @sp 2 @table @strong @item f Ry @end table @sp 2 @table @strong @item M M @end table @sp 1 For the element in A and their respective reactions, RAx and RAy, we have: @sp 1 @table @strong @item Name OAB @item l 1.8 @end table @sp 2 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 For the element in B and their respective reactions, RBx and RBy, we have: @sp 1 @table @strong @item Name OAB @item l 2.5 @end table @sp 2 @table @strong @item f RBx @end table @table @strong @sp 2 @item f RBy @end table @sp 1 Now for the element Beam representing the horizontal beam, that we call @emph{AC}, we have: @sp 1 @table @strong @item Name AC @item m 0 @item lc 0 @item ang 0 @end table @sp 1 For the element of beam that represent the point A, and to its respective reactions, we have: @sp 1 @table @strong @item Name AC @item l 0 @end table @sp 2 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 To the element of beam at point C, for the reactions RCx, RCy and to the weight of 50 kg (@code{50 kg*9.81 m/s2 = 490.5 N}), we have: @sp 1 @table @strong @item Name AC @item l 1.3 @end table @sp 2 @table @strong @item f RCx @end table @sp 2 @table @strong @item f RCy @end table @sp 2 @table @strong @item f 490.500 @end table @sp 1 Now to the element Beam that represent the beam from B to C, that we call @emph{BC} (here the angle is entered as slope -0.7/1.3): @sp 1 @table @strong @item Name BC @item m 0 @item lc 0 @item ang -28.301 @end table @sp 1 To the element of beam at B and to its reactions, we have: @sp 1 @table @strong @item Name BC @item l 0 @end table @sp 2 @table @strong @item f RBx @end table @sp 2 @table @strong @item f RBy @end table @sp 1 For the element of beam at C, we should calculate the distance between B and C. Which can be calculated with @code{hypot(0.7,1.3)}: @sp 1 @table @strong @item Name BC @item l 1.476 @end table @sp 1 And to the reactions RCx and RCy (we don't add here the weight of the 50 kg, because was added at the beam AC): @sp 1 @table @strong @item f RCx @end table @sp 2 @table @strong @item f RCy @end table @sp 1 Now click in the icon Solve to get the answer: @example RAx = 910.919 N ; RAy = -0.000 N ; RCy = 490.500 N ; RCx = 910.919 N ; RBx = 910.919 N ; RBy = 490.500 N ; M = 637.643 N*m ; Ry = 490.500 N ; Rx = 0.000 N ; Status = success. @end example @strong{Note:} @emph{A more easy way to solve this problem (that avoid having to calculating the length of the beam BC), is replace the BC beam with two elements Beam of 2 forces (notice that the beam BC is an element that supports two forces). See image below. Everything is a matter of deciding which is best for the problem to solve. The beam AC is also a beam of two forces. However, we can't replace both.} @center @image{sr-e10-3, 9cm} @page @node Example 11 (rs), Example 12 (rs), Example 10 (rs), Examples statics rigid bodies @section Example 11 @cindex Example 11 (rs) A uniform block of 25 kg and 50 cm of edge, as show the image below, is placed on a slope of 20 degrees. If we want move up the block as fast as possible (constant speed) by the horizontal force F, What is the maximum possible coefficient of friction? Which is the force? @center @image{sr-e11-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Solid, two elements of solid and the necessary elements Force and Friction, as show the image below: @center @image{sr-e11-2, 6cm} The Stationary reference system set the gravity value to default. Now to the element Solid, that we call @emph{Block} we have: @sp 1 @table @strong @item Name Block @item m 25 @item xc 25 @@ cm @item yc 25 @@ cm @item ang 20 @end table @sp 1 To the element of solid that represent the upper corner, where is applied the force F, we have: @sp 1 @table @strong @item Name Block @item x 0 @item y 50 @@ cm @end table @sp 1 And to the horizontal force: @sp 1 @table @strong @item f F @end table @sp 1 The normal force and the friction are applied to the element of solid that represent the lower right corner. Because when we move up the block as fast as possible, the tipping is imminent. Then, we have: @sp 1 @table @strong @item Name Block @item x 50 @@ cm @item y 0 @end table @sp 1 To the force that represent the normal force: @sp 1 @table @strong @item f N @item ang 70 @end table @sp 1 And to the friction: @sp 1 @table @strong @item Normal N @item ang 20 @item u u @end table @sp 1 Now click in the icon Solve to get the answer: @example F = 262.970 N ; N = 320.401 N ; u = 0.509 ad ; Status = success. @end example @page @node Example 12 (rs), Example 13 (rs), Example 11 (rs), Examples statics rigid bodies @section Example 12 @cindex Example 12 (rs) In the structure of the image all the joints are pin joints. Ignoring the weight of the beams, get all the reactions in the joints. @center @image{sr-e12-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Notice that the beams BE and CF are beams of two forces. So, we build the problem with two elements Beam, and the necessary elements Force and Beams of 2 forces, as show below: @center @image{sr-e12-2, 7cm} The Stationary reference system set the gravity value to default. Now to the element Beam that represent the ABC beam, we have: @sp 1 @table @strong @item Name ABC @item m 0 @item lc 0 @item ang 90 @end table @sp 1 This beam have three elements: A, B and C. To the element that correspond with A: @sp 1 @table @strong @item Name ABC @item l 0 @end table @sp 1 And to the applied Forces, the reactions: @sp 1 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 Now to the element that correspond with B: @sp 1 @table @strong @item Name ABC @item l 22 @@ cm @end table @sp 1 And to the element Beam of 2 forces, that correspond with the beam from B to E, the angle is entered as the slope 22/50: @sp 1 @table @strong @item f BE @item ang 23.749 @end table @sp 1 To the element that correspond with C: @sp 1 @table @strong @item Name ABC @item l 95 @@ cm @end table @sp 1 To the element Force, that correspond with the force of 450 N: @sp 1 @table @strong @item f 450 @end table @sp 1 And to the element Beam of 2 forces, that correspond with the beam from C to F, the angle is entered as the slope 23/50: @sp 1 @table @strong @item f CF @item ang 24.702 @end table @sp 1 Now to the element Beam that represent the DEF beam, we have: @sp 1 @table @strong @item Name DEF @item m 0 @item lc 0 @item ang 90 @end table @sp 1 This beam have three elements: D, E and F. To the element that correspond with D: @sp 1 @table @strong @item Name DEF @item l 0 @end table @sp 1 And to the applied Forces, the reactions: @sp 1 @table @strong @item f RDy @end table @sp 2 @table @strong @item f RDx @end table @sp 1 To the element that correspond with E: @sp 1 @table @strong @item Name DEF @item l 44 @@ cm @end table @sp 1 And to the element Beam of 2 forces, that correspond with the beam from B to E, the angle is also the slope 22/50: @sp 1 @table @strong @item f BE @item ang 23.749 @end table @sp 1 To the element that correspond with F: @sp 1 @table @strong @item Name DEF @item l 72 @@ cm @end table @sp 1 And to the element Beam of 2 forces, that correspond with the beam from C to F, the angle is also the slope 23/50: @sp 1 @table @strong @item f CF @item ang 24.702 @end table @sp 1 Now click in the icon Solve to get the answer: @example RDy = 854.981 N ; RDx = -461.094 N ; BE = -1295.364 N [tension] ; CF = 797.558 N [compression] ; RAy = -854.981 N ; RAx = 911.094 N ; Status = success. @end example @page @node Example 13 (rs), , Example 12 (rs), Examples statics rigid bodies @section Example 13 @cindex Example 13 (rs) In the truss of the image, find the support reactions and internal forces in all beams under the load conditions shown. @center @image{sr-e13-1, 9cm} @sp 2 @strong{Solution with FisicaLab} Select the group Static and, inside this, the module Static of solids. Erase the content of the chalkboard and select the English system. Then add one element Truss, eight elements Joint of truss, eight elements Force, five forces for the load forces and three for the support reactions (notice that in support A there is only one vertical force), and 26 elements Beam of truss to build the problem as show below: @center @image{sr-e13-2, 9cm} To the element Truss, we use the name AH: @sp 1 @table @strong @item Name AH @end table @sp 1 All the elements Joint of truss, will owned by this truss. So, we add each joint to this truss: @sp 1 @table @strong @item Truss AH @end table @sp 1 For the two elements Beam of truss that represent the beam from joint A to C, and calling AC the internal force, we have: @sp 1 @table @strong @item t AC @end table @sp 1 Now for the two elements Beam of truss that represent the beam from joint A to B, and calling AB the internal force and entering the angle as the slope 6/8, we have: @sp 1 @table @strong @item t AB @item ang 36.870 @end table @sp 1 For the two elements Beam of truss that represent the beam from joint B to C, and calling BC the internal force, we have: @sp 1 @table @strong @item t BC @end table @sp 1 For the two elements Beam of truss that represent the beam from joint B to E, and calling BE the internal force, we have: @sp 1 @table @strong @item t BD @item ang 16.260 @end table @sp 1 Here the angle is entered as slope 28/96. The numerator and denominator should be at the same units: 2 ft 4 in = 28 in and 6 ft = 96 in. Also can be used 2.333/6 using the feet unit. Now for the two elements Beam of truss that represent the beam from joint B to E, and calling BE the internal force, we have: @sp 1 @table @strong @item t BE @item ang 36.870 @end table @sp 1 Here the angle is also the slope 6/8. For the two elements Beam of truss that represent the beam from joint C to E, and calling CE the internal force, we have: @sp 1 @table @strong @item t CE @end table @sp 1 For the two elements Beam of truss that represent the beam from joint D to E, and calling DE the internal force, we have: @sp 1 @table @strong @item t DE @end table @sp 1 Now for the two elements Beam of truss that represent the beam from joint D to F, and calling DF the internal force, we have: @sp 1 @table @strong @item t DF @item ang 16.260 @end table @sp 1 Here the angle is entered as slope 28/96. For the two elements Beam of truss that represent the beam from joint E to F, and calling EF the internal force, we have: @sp 1 @table @strong @item t EF @item ang 36.870 @end table @sp 1 Here the angle is entered as slope 6/8. Now for the two elements Beam of truss that represent the beam from joint E to G, and calling EG the internal force, we have: @sp 1 @table @strong @item t EG @end table @sp 1 For the two elements Beam of truss that represent the beam from joint F to G, and calling FG the internal force, we have: @sp 1 @table @strong @item t FG @end table @sp 1 For the two elements Beam of truss that represent the beam from joint F to H, and calling FH the internal force, we have: @sp 1 @table @strong @item t FH @item ang 36.870 @end table @sp 1 Here the angle is entered as slope 6/8. Now for the two elements Beam of truss that represent the beam from joint G to H, and calling GH the internal force, we have: @sp 1 @table @strong @item t GH @end table @sp 1 Now to the element Force that represent the reaction in A: @sp 1 @table @strong @item f RAy @end table @sp 1 And to the two elements Force that represent the reactions in H: @sp 1 @table @strong @item f RHy @end table @sp 2 @table @strong @item f RHx @end table @sp 1 Now to the elements Force that represent the load forces, three of 600 lb and two of 300 lb: @sp 1 @table @strong @item f 300 @end table @sp 2 @table @strong @item f 600 @end table @sp 1 Now click in the icon Solve to get the answer: @example FG = 0.000 lb [tension] ; EF = -59.993 lb [compression] ; DF = -1200.000 lb [compression] ; RAy = 1200.000 lb ; FH = -1499.996 lb [compression] ; AC = 1199.996 lb [tension] ; AB = -1499.996 lb [compression] ; GH = 1199.996 lb [tension] ; RHy = 1200.000 lb ; RHx = 0.000 lb ; BC = -0.000 lb [compression] ; CE = 1199.996 lb [tension] ; BD = -1200.000 lb [compression] ; DE = 71.992 lb [tension] ; BE = -59.993 lb [compression] ; EG = 1199.996 lb [tension] ; Status = success. @end example trunk/Documentation/Manual/English/bloque_v.png0000777000076400007640000000257012734077052021520 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڍA ~O 69TCFH>ZZ[%!4!i˚k͒W}xw-Ƥ8'$@ɧZk3:EwҜˏV 4Eq]9&\Py`uylE vpAg00WIDAThKSaװY61IAyG(!]T4!.o(~DvSiiݘUFPu'qt}_s{GCE4JנtEQ{ρF;3rv~BMI?E}A:0;-f̭(s(sAPTFP[M\5!u16AV47ar"Q#5BUqt034q!1R2B"#Qaѡ ?@´p\qERX*aDj亮z"K,8)mXZ55r2FthF9iik^E0>7'FٸI>/}%T'I}ѿ6nVehKq%ٴ7D Įr"EL6)dkj +1*Xu4a=mGxJmJh&P-eUcQSo6!f"5(>7'FٸI~/}%T'I}ѿ6nX0'[8^QUȎv$3\נ82>?Tz@v{F.کOI[,+7jꉚy!D7z`tkMb׫ZmBَ.Nus|*u}5H9*~ &:9S 1%=a*ewzU^/ȿ·I׬1nb=Q8='{{Σq\9[=gEx$l==W5sEBξ{QGR@nuZ >ξ{QGR@nuZ >/c|UA{KYLTb"9Qb'b+a8a)(wyhOJ5\ݒ&{Q{ ξ{QG9yj<(JHξ{QG9yj<(JH\k*n55:YdTDW9˚ωj\`³TdlNY112^ikO"Ѫ#D)E-1BK-hT@)>&ĴWIZTV3تvr>*;=]5-SQꦣcYULQvtv!.<֤i׻VXxL.KPaۃ?cTqjzZs݊svmTNΡAIQ_[$Ny8ޗ9W$ChV$U:0z6T1BڮM6iMتTTOj ('T*;kQW=UܑͨrL5g&דLzG{}1[*O< :ک"_lUE]Efvftkb#e+.Ϩm,hv'{W=_=N9p$D8/Ǽ<7|恢ow[eޢ|2$sčkr&kjWak¢]zUU2i}D*Us]*udCԭkyuh,秼-oeMU5;kPv23W̥o,uŵ^"%q-f:Eǡf1;$ЉToQizx44aV+sx;wa ntAp]y"YD`1Հ,L`M|L cƍ8ct[/-˲\5b\Ѳ'bO茛;F NZwO@6 ZqZCcMx*3K}zju=wH2oi\P6nWa `{uD{R[B`si댛nJ{y|9VKDYTgWGMe c[]\+㸕ң&Qր_Qtmq#Άy.l|릩 @l]i?RYcMqO 7X%=W2s[i|*ܔrU%L;-F5ۗ?TlkyM=?tm)Q>w#2""T>;-ݖ?4۟tvSS7¸> j}tsma&*z Azgvw65}p*mM"d1/ vpAg00WIDATh[lTEsvi+Z= BT*bL Lۓ/ޠbl  ( `"5*QAh$ &`bifsKofof7;cN(t=~bÆC\(ԁU~ e*oWhyd?3Ð}ߐ;^swp ;8q ߎ ɟ'ふV8yCvwtxjp@ ߛ܋Fe-p]p.iL!K8y0 oF"{@A4+3ƃ [v1HB[pWn DQD`b𻡫=^dN gMq ﰠ.zY}Gx'TfpV8DD\uäV03B"N0dv.| 087" PX'ѪhZ& f8OX{W rM0" Lx**BL/a "\cȼVPV.|JqEnfsp ! 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Arias. @c See the file copying.texinfo for copying conditions. @node Examples thermodynamics, GFDL, Thermodynamics, Top @chapter Examples thermodynamics @cindex Examples thermodynamics @menu * Example 1 (thermo):: * Example 2 (thermo):: * Example 3 (thermo):: * Example 4 (thermo):: * Example 5 (thermo):: @end menu @node Example 1 (thermo), Example 2 (thermo), Examples thermodynamics, Examples thermodynamics @section Example 1 @cindex Example 1 (thermo) 700 cal are given to a thermodynamic process, while the system made a work of 200 J. How many change the internal energy? @sp 2 @strong{Solution with FisicaLab} The problem statement don't specify the type of thermodynamics process, so we can assume it is an isobaric process witn an arbitrary mass, pressure and initial temperature. Then select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Isobaric process, one element Applied heat and one element Work. As show the image below: @center @image{therm-e1, 3cm} To the isobaric process, we set 1 kg to mass, 1 pascal to pressure and 1 m^3 to initial volumen. Then: @sp 1 @table @strong @item Name 0 @item m 1 @item dU U @item P 1 @item Vi 1 @item Vf Vf @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q 700 @@ cal @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W 200 @end table @sp 1 Now click in the icon Solve to get the answer: @example U = 2312.080 J ; Vf = 201.000 m3; Status = success. @end example @page @node Example 2 (thermo), Example 3 (thermo), Example 1 (thermo), Examples thermodynamics @section Example 2 @cindex Example 2 (thermo) A work of 200 J is done over a system through an adiabatic process. Calculate the change at internal energy in calories. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Adiabatic process and one element Work. As show the image below: @center @image{therm-e2, 3cm} To the element Adiabatic process, with an arbitrary mass of 1 kg, we have: @sp 1 @table @strong @item Name 0 @item m 1 @item dU U @@ cal @end table @sp 1 Now to the element Work: @sp 1 @table @strong @item W -200 @end table @sp 1 Now click in the icon Solve to get the answer: @example U = 47.769 cal ; Status = success. @end example @page @node Example 3 (thermo), Example 4 (thermo), Example 2 (thermo), Examples thermodynamics @section Example 3 @cindex Example 3 (thermo) At a constant pressure of 1 atm, 1.5 g of water (1.5 cm^3) at 100 °C is vaporized to a final volume of 2000 cm^3. Calculate the work done by the system and its change of internal energy. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Isobaric process, one element Applied heat, one element Work and one element Vaporization heat. As show the image below: @center @image{therm-e3, 3cm} To the element Isobaric process, we have: @sp 1 @table @strong @item Name proc @item m 1.5 @@ g @item dU U @item P 1 @@ atm @item Vi 1.5 @@ cm3 @item Vf 2000 @@ cm3 @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q Q @end table @sp 1 To the element Work: @sp 1 @table @strong @item W W @end table @sp 1 And to the element vaporized heat: @sp 1 @table @strong @item Process: proc @item cv: 540 @@ cal/g @end table @sp 1 Now click in the icon Solve to get the answer: @example W = 202.498 J ; U = 3188.810 J ; Q = 3391.308 J ; Status = success @end example @page @node Example 4 (thermo), Example 5 (thermo), Example 3 (thermo), Examples thermodynamics @section Example 4 @cindex Example 4 (thermo) A steam machine works beetwen an high temperature of 230 °C and a lower temperature of 100 °C. Calculate its ideal efficiency. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard and add one element Heat engine, one element Applied heat, one element Extracted heat and one element Work. As show the image below: @center @image{therm-e4, 3cm} To the element Heat machine, we have: @sp 1 @table @strong @item TH 230 @@ C @item TL 100 @@ C @item e e @end table @sp 1 To the element Applied heat set any arbitrary value (positive): @sp 1 @table @strong @item Q 1000 @end table @sp 1 To the element Extracted heat: @sp 1 @table @strong @item Q Ex @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W W @end table @sp 1 Now click in the icon Solve to get the answer: @example W = 258.372 J ; e = 25.837 % ; Ex = 741.628 J ; Status = success. @end example @page @node Example 5 (thermo), GFDL, Example 4 (thermo), Examples thermodynamics @section Example 5 @cindex Example 5 (thermo) At a refrigerator with a coefficient of performance of 2.18 and 680 J of internal work, calculate the amount of heat (in Joules) extracted at the could reservoir and the amount of heat transferred to the hot reservoir. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Refrigerator, one element Applied heat, one element Heat extracted and one element Work. As show the image below: @center @image{therm-e5, 3cm} To the element Refrigerator set an arbitrary low temperature, we have: @sp 1 @table @strong @item TH H @item TL 100 @@ C @item cop 2.18 @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q Q @end table @sp 1 To the element Extracted heat: @sp 1 @table @strong @item Q Ex @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W 680 @end table @sp 1 Then click in the icon Solve to get the answer: @example Ex = 1482.400 J ; H = 271.170 C ; Q = 2162.400 J ; Status = success. @end example trunk/Documentation/Manual/English/thermodynamics-examples.texinfo0000664000076400007640000001431314506066601025424 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2023 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Examples thermodynamics, GFDL, Thermodynamics, Top @chapter Examples thermodynamics @cindex Examples thermodynamics @menu * Example 1 (thermo):: * Example 2 (thermo):: * Example 3 (thermo):: * Example 4 (thermo):: * Example 5 (thermo):: @end menu @node Example 1 (thermo), Example 2 (thermo), Examples thermodynamics, Examples thermodynamics @section Example 1 @cindex Example 1 (thermo) 700 cal are given to a thermodynamic process, while the system made a work of 200 J. How many change the internal energy? @sp 2 @strong{Solution with FisicaLab} The problem statement don't specify the type of thermodynamics process, so we can assume it is an isobaric process witn an arbitrary mass, pressure and initial temperature. Then select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Isobaric process, one element Applied heat and one element Work. As show the image below: @center @image{therm-e1, 3cm} To the isobaric process, we set 1 kg to mass, 1 pascal to pressure and 1 m^3 to initial volumen. Then: @sp 1 @table @strong @item Name 0 @item m 1 @item dU U @item P 1 @item Vi 1 @item Vf Vf @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q 700 @@ cal @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W 200 @end table @sp 1 Now click in the icon Solve to get the answer: @example U = 2312.080 J ; Vf = 201.000 m3; Status = success. @end example @page @node Example 2 (thermo), Example 3 (thermo), Example 1 (thermo), Examples thermodynamics @section Example 2 @cindex Example 2 (thermo) A work of 200 J is done over a system through an adiabatic process. Calculate the change at internal energy in calories. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Adiabatic process and one element Work. As show the image below: @center @image{therm-e2, 3cm} To the element Adiabatic process, with an arbitrary mass of 1 kg, we have: @sp 1 @table @strong @item Name 0 @item m 1 @item dU U @@ cal @end table @sp 1 Now to the element Work: @sp 1 @table @strong @item W -200 @end table @sp 1 Now click in the icon Solve to get the answer: @example U = 47.769 cal ; Status = success. @end example @page @node Example 3 (thermo), Example 4 (thermo), Example 2 (thermo), Examples thermodynamics @section Example 3 @cindex Example 3 (thermo) At a constant pressure of 1 atm, 1.5 g of water (1.5 cm^3) at 100 °C is vaporized to a final volume of 2000 cm^3. Calculate the work done by the system and its change of internal energy. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Isobaric process, one element Applied heat, one element Work and one element Vaporization heat. As show the image below: @center @image{therm-e3, 3cm} To the element Isobaric process, we have: @sp 1 @table @strong @item Name proc @item m 1.5 @@ g @item dU U @item P 1 @@ atm @item Vi 1.5 @@ cm3 @item Vf 2000 @@ cm3 @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q Q @end table @sp 1 To the element Work: @sp 1 @table @strong @item W W @end table @sp 1 And to the element vaporized heat: @sp 1 @table @strong @item Process: proc @item cv: 540 @@ cal/g @end table @sp 1 Now click in the icon Solve to get the answer: @example W = 202.498 J ; U = 3188.810 J ; Q = 3391.308 J ; Status = success @end example @page @node Example 4 (thermo), Example 5 (thermo), Example 3 (thermo), Examples thermodynamics @section Example 4 @cindex Example 4 (thermo) A steam machine works beetwen an high temperature of 230 °C and a lower temperature of 100 °C. Calculate its ideal efficiency. @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard and add one element Heat engine, one element Applied heat, one element Extracted heat and one element Work. As show the image below: @center @image{therm-e4, 3cm} To the element Heat machine, we have: @sp 1 @table @strong @item TH 230 @@ C @item TL 100 @@ C @item e e @end table @sp 1 To the element Applied heat set any arbitrary value (positive): @sp 1 @table @strong @item Q 1000 @end table @sp 1 To the element Extracted heat: @sp 1 @table @strong @item Q Ex @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W W @end table @sp 1 Now click in the icon Solve to get the answer: @example W = 258.372 J ; e = 25.837 % ; Ex = 741.628 J ; Status = success. @end example @page @node Example 5 (thermo), GFDL, Example 4 (thermo), Examples thermodynamics @section Example 5 @cindex Example 5 (thermo) At a refrigerator with a coefficient of performance of 2.18 and 680 J of internal work, calculate the amount of heat (in Joules) extracted at the cold reservoir and the amount of heat transferred to the outside environment (the hot reservoir). @sp 2 @strong{Solution with FisicaLab} Select the Thermodynamics group and, inside this, the Thermodynamics module. Erase the content of the chalkboard. And add one element Refrigerator, one element Applied heat, one element Heat extracted and one element Work. As show the image below: @center @image{therm-e5, 3cm} To the element Refrigerator set an arbitrary low temperature, we have: @sp 1 @table @strong @item TH H @item TL 100 @@ C @item cop 2.18 @end table @sp 1 To the element Applied heat: @sp 1 @table @strong @item Q Q @end table @sp 1 To the element Extracted heat: @sp 1 @table @strong @item Q Ex @end table @sp 1 And to the element Work: @sp 1 @table @strong @item W 680 @end table @sp 1 Then click in the icon Solve to get the answer: @example Ex = 1482.400 J ; H = 271.170 C ; Q = 2162.400 J ; Status = success. @end example trunk/Documentation/Manual/English/therm-e1.jpg0000664000076400007640000003460114505671744021323 0ustar germangermanJFIFHHExifII*bj(1 r2iHHGIMP 2.10.322023:09:29 19:03:30 JFIFC    $.' 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Lͦ.4LykvT~ fAoQ}MwLb b$kݻAI!=")MF$I|`D{qv r!3ZA듩Uf&啿HnkkHBcW!~{ϥaJ"|a}9lq dCWU 2vM~<&1ӯnϥχSGPz<8!c?+1 H;Z(!1AQ@a 0qP`? aBP>,X`/H %GOmm@cq~lXdBU~F4Yft)iA}6la  !Ǔ`cB&|-29Bxv 6rӇTX5!} b\Łnu⹛!De("7^ȗpG@Sm|嫸h@*Ȁe`b^ic3#ȗ`-E@LB 9"27=t31~ɭ3F4/sPB3O7>Ӌ&K&R%(բB4MQ lp`(9RR"B<@><+HHC@[VWp>֊#;4’oAf6KaB:Z, "-&TkY4p؄n( B A)J.d/g$&GWŢFS"$x\![D @$*((lWs`K}f~.% AbqW" UJ!28xHqZ1KWGP2!c;9˭34&U!Y`%\/X,yokGwnyq ڮ'fI?QF#b 2~sP73L>*LVUͱpzYbbmLczA=h$ O *mST [M@` I~<]EH!Jzgk`Zhg ef dG>54ŵtq\N%P&AL)zbtrunk/Documentation/Manual/English/thermodynamics.texinfo~0000664000076400007640000001542513646517645024030 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2020 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Thermodynamics, Examples thermodynamics, Examples calorimetry, Top @chapter Thermodynamics @cindex Thermodynamics @sp 2 This module have 12 elements, described below. With a description of each one, its data and its number of equations. In parentheses are shown the units used be FisicaLab (if no conversion factors are used) in cases where may be doubt. The elements Adiabatic process, Isochoric process, Isothermal process, Isobaric process, Heat machine, Refrigerator and Heat pump support the application of heat elements (Heat applied and Heat extracted) and work. These elements are applied to other element placing them in one of the eight cells around. @page @menu * Applied heat: Applied heat (therm). * Work: Work (therm). * Heat extracted: Heat extracted (therm). * Adiabatic process: Adiabatic process (therm). * Isochoric process: Isochoric process (therm). * Isothermal process: Isothermal process (therm). * Isobaric process: Isobaric process (therm). * Sensible heat: Sensible heat (therm). * Vaporization heat: Vaporization heat (therm). * Heat machine: Heat machine (therm). * Refrigerator: Refrigerator (therm). * Pump heat: Pump heat (therm). @end menu @node Applied heat (therm), Work (therm), Thermodynamics, Thermodynamics @section Applied heat @cindex Applied heat (therm) @image{en_calor} A certain amount of heat applied. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat applied (in Joules). @end multitable @node Work (therm), Heat extracted (therm), Applied heat (therm), Thermodynamics @section Work @cindex Work (therm) @image{work_machine} Applied work. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Work: @tab Work (in Joules). @end multitable @page @node Heat extracted (therm), Adiabatic process (therm), Work (therm), Thermodynamics @section Heat extracted @cindex Heat extracted (therm) @image{ex_calor} A certain amount of heat extracted. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat extracted (in Joules). @end multitable @node Adiabatic process (therm), Isochoric process (therm), Heat extracted (therm), Thermodynamics @section Adiabatic process @cindex Adiabatic process (therm) @image{adiabatic_process} An adiabatic process. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process. @item dU: @tab Change of the internal energy. @end multitable @page @node Isochoric process (therm), Isothermal process (therm), Adiabatic process (therm), Thermodynamics @section Isochoric process @cindex Isochoric process (therm) @image{gas_vc} An isochoric process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process. @item dU: @tab Change of the internal energy. @end multitable @node Isothermal process (therm), Isobaric process (therm), Isochoric process (therm), Thermodynamics @section Isothermal process @cindex Isothermal process (therm) @image{gas_tc} An isothermal process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process. @end multitable @page @node Isobaric process (therm), Sensible heat (therm), Isothermal process (therm), Thermodynamics @section Isobaric process @cindex Isobaric process (therm) @image{gas_pc} An isobaric process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process. @item dU: @tab Change of the internal energy. @item P: @tab Value of the pressure. @item Vi: @tab Initial volume. @item Tf: @tab Final volume. @end multitable @node Sensible heat (therm), Vaporization heat (therm), Isobaric process (therm), Thermmodynamics @section Sensible heat @cindex Sensible heat (therm) @image{sensible_heat} Heat capacity to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item c: @tab Heat capacity. @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Vaporization heat (therm), Heat engine (therm), Sensible heat (therm), Thermmodynamics @section Vaporization heat @cindex Vaporization heat (therm) @image{cfase_lg} Vaporization heat to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item cv: @tab Vaporization heat. @end multitable @page @node Heat engine (therm), Refrigerator (therm), Vaporization heat (therm), Thermodynamics @section Heat engine @cindex Heat engine (therm) @image{heat_engine} A heat engine. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item e: @tab Efficiency. @end multitable @page @node Refrigerator (therm), Heat pump (therm), Heat engine (therm), Thermodynamics @section Refrigerator @cindex Refrigerator (therm) @image{refrigerator} An refriferator. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Efficiency. @end multitable @page @node Heat pump (therm), , Refrigerator (therm), Thermodynamics @section Heat pump @cindex Heat pump (therm) @image{heat_pump} A heat pump. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Efficiency. @end multitable @page trunk/Documentation/Manual/English/thermodynamics.texinfo0000664000076400007640000001703214505661634023617 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2020, 2023 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Thermodynamics, , Examples calorimetry, Top @chapter Thermodynamics @cindex Thermodynamics @sp 2 This module have 13 elements, described below. With a description of each one, its data and its number of equations. In parentheses are shown the units used be FisicaLab (if no conversion factors are used) in cases where may be doubt. The elements Adiabatic process, Isochoric process, Isothermal process, Isobaric process, Heat machine, Refrigerator and Heat pump support the application of heat elements (Heat applied and Heat extracted) and work. These elements are applied to other element placing them in one of the eight cells around. @page @menu * Applied heat: Applied heat (therm). * Work: Work (therm). * Heat extracted: Heat extracted (therm). * Adiabatic process: Adiabatic process (therm). * Isochoric process: Isochoric process (therm). * Isothermal process: Isothermal process (therm). * Isobaric process: Isobaric process (therm). * Sensible heat: Sensible heat (therm). * Vaporization heat: Vaporization heat (therm). * Heat engine: Heat engine (therm). * Refrigerator: Refrigerator (therm). * Heat pump: Heat pump (therm). * Gas PV/T: Gas PV/T (therm). @end menu @node Applied heat (therm), Work (therm), Thermodynamics, Thermodynamics @section Applied heat @cindex Applied heat (therm) @image{en_calor} A certain amount of heat applied. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat applied (in Joules). @end multitable @node Work (therm), Heat extracted (therm), Applied heat (therm), Thermodynamics @section Work @cindex Work (therm) @image{work_machine} Applied work. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Work: @tab Work (in Joules). @end multitable @page @node Heat extracted (therm), Adiabatic process (therm), Work (therm), Thermodynamics @section Heat extracted @cindex Heat extracted (therm) @image{ex_calor} A certain amount of heat extracted. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Q: @tab Amount of heat extracted (in Joules). @end multitable @node Adiabatic process (therm), Isochoric process (therm), Heat extracted (therm), Thermodynamics @section Adiabatic process @cindex Adiabatic process (therm) @image{adiabatic_process} An adiabatic process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @item dU: @tab Change of the internal energy (in Joules). @end multitable @page @node Isochoric process (therm), Isothermal process (therm), Adiabatic process (therm), Thermodynamics @section Isochoric process @cindex Isochoric process (therm) @image{gas_vc} An isochoric process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @item dU: @tab Change of the internal energy (in Joules). @end multitable @node Isothermal process (therm), Isobaric process (therm), Isochoric process (therm), Thermodynamics @section Isothermal process @cindex Isothermal process (therm) @image{gas_tc} An isothermal process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @end multitable @page @node Isobaric process (therm), Sensible heat (therm), Isothermal process (therm), Thermodynamics @section Isobaric process @cindex Isobaric process (therm) @image{gas_pc} An isobaric process. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @item dU: @tab Change of the internal energy (in Joules). @item P: @tab Value of the pressure (in Pascals). @item Vi: @tab Initial volume (in m3). @item Vf: @tab Final volume (in m3). @end multitable @node Sensible heat (therm), Vaporization heat (therm), Isobaric process (therm), Thermodynamics @section Sensible heat @cindex Sensible heat (therm) @image{sensible_heat} Heat capacity to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item c: @tab Heat capacity (in J/(kg*K) or J/(kg*C) ). @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Vaporization heat (therm), Heat engine (therm), Sensible heat (therm), Thermodynamics @section Vaporization heat @cindex Vaporization heat (therm) @image{cfase_lg} Vaporization heat to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item cv: @tab Vaporization heat (in J/kg). @end multitable @page @node Heat engine (therm), Refrigerator (therm), Vaporization heat (therm), Thermodynamics @section Heat engine @cindex Heat engine (therm) @image{heat_engine} A heat engine. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item e: @tab Efficiency as percent. @end multitable @page @node Refrigerator (therm), Heat pump (therm), Heat engine (therm), Thermodynamics @section Refrigerator @cindex Refrigerator (therm) @image{refrigerator} An refriferator. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Coefficient of performance. @end multitable @page @node Heat pump (therm), Gas PV/T (therm), Refrigerator (therm), Thermodynamics @section Heat pump @cindex Heat pump (therm) @image{heat_pump} A heat pump. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Coefficient of performance. @end multitable @page @node Gas PV/T (therm), , Heat pump (therm), Thermodynamics @section Gas PV/T @cindex Gas PV/T (therm) @image{gas_pvt} An ideal gas. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Pi: @tab Initial pressure (in Pascals). @item Vi: @tab Initial volume. @item Ti: @tab Initial temperature (in Kelvins). @item Pf: @tab Final pressure (in Pascals). @item Vf: @tab Final volume. @item Tf: @tab Final temperature (in Kelvins). @end multitable @page trunk/Documentation/Manual/English/adiabatic_process.png0000664000076400007640000001307713646713701023343 0ustar germangermanPNG  IHDR00W2zTXtRaw profile type exifxW0DYˁ=gv?7At|RwQH4n^bB%Ք,PCuŞ8k/>mxiw׆カHO ݳYn_WN_1\w#8FK|mWG}IbK$I_9֔jO;7CF);i \oٹm6sc|rsFO?u1gsfX}ȆhP|+nqˋol_BϞu N_XYYj@W8N_7nb\/ ynf~Wgv5z5q`.>ǼuW>FCyBA ^>=34K ?`]{;Z S{noϲ³kNK9mws>jlM;l=c-A4ٲq`-:j]A߲]OrARzZ\A=`p:M5Elyrӿ\CۨXU< l_](' ў #ǫHw#l% @v,b*T:.d.xE06d)f8₃Y!D'B 1u,rk%ʎs9\s+g%K)ꪇJ>RkmA=7n\ZwcO=koađȣ:tOygu%PZaEQ[e6;nj.ۭ?<控5Zs~t! 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[hZw_gtq⑋)p)>_U|cg_*N\&y[;DqީȖsnʫxY ̴0XoQ rx~RZZXfe"E33ƭx?~93ʋa9͏InݦuExXiM ]Q_̰/˚K3+yiy}Z 9u&Ft[KvA-Y >t?Ɔ=h0/ЊU4ug\e55wG8֏0QcBicZ\PA9 8 ?Oe#V>lI.B||5O5'PۮqtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:11:31-06:00gA%tEXtdate:modify2012-08-09T00:52:54-06:00ˑatEXttiff:alphaunassociated(gtEXttiff:document/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/dinamicaCircular/sis_rotacion.tifݚ8itEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/kinematics-circular-examples.texinfo0000777000076400007640000002774112734077052026350 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Examples circular kinematics of particles, Statics, Circular kinematics, Top @chapter Examples circular kinematics of particles @cindex Examples circular kinematics of particles @menu * Example 1 (ck):: * Example 2 (ck):: * Example 3 (ck):: * Example 4 (ck):: * Example 5 (ck):: @end menu @node Example 1 (ck), Example 2 (ck), Examples circular kinematics of particles, Examples circular kinematics of particles @section Example 1 @cindex Example 1 (ck) A body in uniform circular motion goes through a circle of radius 3 m with a constant tangential velocity of 27 m/s. What is the centripetal acceleration of the mobile? What is the distance traveled after 6.3 seconds (in meters)? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles circular module. Erase the content of the chalkboard and select the SI system. Now add one element Mobile with circular motion, one element Arc length and one element Stationary reference system. As show the image below: @center @image{kc-e1, 4cm} To the element Stationary reference system we have: @sp 1 @table @strong @item tf 6.3 @end table @sp 1 The element Mobile with circular motion gonna be called @emph{Mobile}. And we assume that the initial position correspond to the angle 0. Also, we left the center like 0 (to this problem the center of rotation is irrelevant). And the final velocity is left as unknown data, because the element have an entry to tangential acceleration and this assume that the final velocity is different from the initial. Also the centripetal acceleration at initial and end time are unknown data: @sp 1 @table @strong @item Name Mobile @item C 0 @item r 3 @item aci aci @item at 0 @item angi 0 @item vi 27 @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 In the element Arc length we set our @emph{Mobile}, and the arc length value is of course an unknown data: @sp 1 @table @strong @item Object Mobile @item s s @end table @sp 1 Now click in the icon Solve to get the answer: @example aci = 243.000 m/s2 ; angf = 8.671 degrees ; vf = 27.000 m/s ; acf = 243.000 m/s2 ; s = 170.100 m ; Status = success. @end example @page @node Example 2 (ck), Example 3 (ck), Example 1 (ck), Examples circular kinematics of particles @section Example 2 @cindex Example 2 (ck) A mobile left the rest describing a circular motion with radius 4.7 m. If the tangential acceleration is 1.6 m/s2, How many seconds need to travel a distance of 256 m? How many laps have done? What is the total acceleration in that moment (after travel the 256 m)? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles circular module. Erase the content of the chalkboard and select the SI system. Now add one element Mobile with circular motion, one element Arc length, one element Number of laps, one element Total acceleration and one element Stationary reference system. As show the image below: @center @image{kc-e2, 4cm} The time is unknown, then to the Stationary reference system we have: @sp 1 @table @strong @item tf t @end table @sp 1 Now to the element Mobile with circular motion, we call it @emph{Mobile}, we assume that its initial position correspond with angle 0. And, to this problem, we don't need a center of rotation: @sp 1 @table @strong @item Name Mobile @item C 0 @item r 4.7 @item aci aci @item at 1.6 @item angi 0 @item vi 0 @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 To the element Arc length we have: @sp 1 @table @strong @item Object Mobile @item s 256 @end table @sp 1 Now to the element Number of laps: @sp 1 @table @strong @item Object Mobile @item n n @end table @sp 1 And to the element Total acceleration: @sp 1 @table @strong @item Object Mobile @item atoti atoti @item angi aangi @item atotf atotf @item angf aangf @end table @sp 1 Now click in the icon Solve to get the answer: @example aci = -0.000 m/s2 ; angf = 240.791 degrees ; vf = 28.622 m/s ; acf = 174.298 m/s2 ; t = 17.889 s ; n = 8.669 rev ; atoti = 1.600 m/s2 ; aangi = 90.000 degrees ; atotf = 174.305 m/s2 ; aangf = 179.474 degrees ; Status = success. @end example Remember that the angle of the total acceleration vector is measured from the radius vector. @page @node Example 3 (ck), Example 4 (ck), Example 2 (ck), Examples circular kinematics of particles @section Example 3 @cindex Example 3 (ck) A mobile with uniform circular motion describes a circle of radius 7.5 m. If the angular velocity is 1.3 rad/s, How seconds need to describe 9 laps? What is the centripetal acceleration? What is its period? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles circular module. Erase the content of the chalkboard and select the SI system. Now add one element Mobile with circular motion, one element Angular velocity, one element Number of laps, one element Period and one element Stationary reference system. As show the image below: @center @image{kc-e3, 4cm} The time is an unknown data, then to the element Stationary reference system: @sp 1 @table @strong @item tf t @end table @sp 1 To the element Mobile with circular motion, gonna be called @emph{Mobile}, the initial and final velocity are unknown data. Also the centripetal acceleration at initial and end time are unknown data: @sp 1 @table @strong @item Name Mobile @item C 0 @item r 7.5 @item aci 0 @item at 0 @item angi 0 @item vi vi @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 In the element Angular velocity, the value 1.3 rad/s, is the constant angular velocity of our @emph{Mobile}, because this have a tangential acceleration equal to 0. However, to comply with @emph{number of equations = number of unknown data}, we put this data as initial angular velocity and leave the final data as unknown, although it has the same value: @sp 1 @table @strong @item Object Mobile @item vangi 1.3 @item vangf vangf @end table @sp 1 To the element Number of laps: @sp 1 @table @strong @item Object Mobile @item n 9 @end table @sp 1 And to the element Period: @sp 1 @table @strong @item Object Mobile @item T T @end table @sp 1 Now click in the icon Solve to get the answer: @example aci = 12.675 m/s2 ; vi = 9.750 m/s ; angf = 360.000 degrees ; vf = 9.750 m/s ; acf = 12.675 m/s2 ; t = 43.499 s ; vangf = 1.300 rad/s ; T = 4.833 1/hz ; Status = success. @end example @page @node Example 4 (ck), Example 5 (ck), Example 3 (ck), Examples circular kinematics of particles @section Example 4 @cindex Example 4 (ck) A mobile left the rest from the origin of the coordinate system, with an angular velocity of 0.4 rad/s, a radial velocity of 0.2 m/s (in the direction of the positive X axis) and with a radial acceleration of 0.12 m/s2. What is the coordinate of its position after 5 seconds? What is its radial velocity at that time? What is its distance from the origin? What is the average frequency of its circular motion? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles circular module. Erase the content of the chalkboard and select the SI system. Now add one element Mobile with polar circular motion, one element Coordinate, one element Frequency and one element Stationary reference system. As show the image below: @center @image{kc-e4, 4cm} We know the time, then to the element Stationary reference system: @sp 1 @table @strong @item tf 5 @end table @sp 1 Now to the element Mobile with polar circular motion, gonna be called @emph{Mobile}, its initial position correspond with the angle 0 (because the initial radial velocity have the direction of the positive X axis). The center of rotation, is established as 0, because the mobile tour around the origin. The initial radius is 0 (because left the origin), the angular acceleration is 0 too, and the final angular velocity is established as an unknown data, because the element have an entry to angular acceleration then this assume that the final angular velocity can be different from the initial. And the final radial velocity is an unknown data: @sp 1 @table @strong @item Name Mobile @item C 0 @item aa 0 @item ar 0.12 @item angi 0 @item ri 0 @item vai 0.4 @item vri 0.2 @item ti 0 @item angf angf @item rf rf @item vaf vaf @end table @sp 1 To the element Coordinate, we set our @emph{Mobile} as the measured object, and the coordinates X and Y are unknown data: @sp 1 @table @strong @item Object Mobile @item x x @item y y @end table @sp 1 Now in the element Frequency, the frequency is an unknown data too: @sp 1 @table @strong @item Object Mobile @item f f @end table @sp 1 Now click in the icon Solve to get the answer: @example x = -1.040 m ; y = 2.273 m ; f = 0.064 hz ; angf = 114.592 degrees ; rf = 2.500 m ; vaf = 0.400 rad/s ; vrf = 0.800 m/s ; Status = success. @end example The distance of the mobile to the origin is, of course, the final radius 2.500 m. @page @node Example 5 (ck), , Example 4 (ck), Examples circular kinematics of particles @section Example 5 @cindex Example 5 (ck) A mobile A with an uniform circular motion, tour around the origin describing a circle with radius 83 cm and with a tangential velocity of 0.7 m/s. In the moment in which the radius vector of this mobile is 59 degrees above the horizontal, a mobile B left the point (10, 17)cm with a constant radial velocity of 8 cm/s (in the direction of the positive X axis), and with a constant angular velocity of 0.6 rad/s. 12 seconds after the mobile B begin its movement, What is the distance between the two mobiles? What is the relative velocity of the mobile B in reference to the mobile A? How many laps described each of the mobiles? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles circular module. Erase the content of the chalkboard and select the SI system. Now add one element Mobile with circular motion, one Mobile with polar circular motion, one element Center of rotation, one element Distance, one element Relative velocity, two elements Number of laps and one element Stationary reference system. As show the image below: @center @image{kc-e5, 4cm} To the element Stationary reference system: @sp 1 @table @strong @item tf 12 @end table @sp 1 To the element Mobile with circular motion (the mobile A that tour around the origin): @sp 1 @table @strong @item Name A @item C 0 @item r 83 @@ cm @item aci aciA @item at 0 @item angi 59 @item vi 0.7 @item ti 0 @item angf angfA @item vf vfA @item acf acfA @end table @sp 1 To the element Center of rotation, the center of the mobile B, we have: @sp 1 @table @strong @item Name Center @item x 10 @@ cm @item y 17 @@ cm @end table @sp 1 Now to the element Mobile with polar circular motion: @sp 1 @table @strong @item Name B @item C Center @item aa 0 @item ar 0 @item angi 0 @item ri 0 @item vai 0.6 @item vri 8 @@ cm/s @item ti 0 @item angf angfB @item rf rfB @item vaf vafB @item vrf vrfB @end table @sp 1 The element Distance: @sp 1 @table @strong @item Object 1 A @item Object 2 B @item d d @end table @sp 1 And the element Relative velocity: @sp 1 @table @strong @item Object 1 B @item Object 2 A @item v vrBA @item ang angBA @end table @sp 1 And for each of the elements Number of laps, one for each mobile: @sp 1 @table @strong @item Object A @item n nA @end table @sp 2 @table @strong @item Object B @item n nB @end table @sp 1 Now click in the icon Solve to get the answer: @example aciA = 0.590 m/s2 ; angfA = 278.861 degrees ; vfA = 0.700 m/s ; acfA = 0.590 m/s2 ; d = 1.838 m ; vrBA = 1.142 m/s ; angBA = 164.452 degrees ; nA = 1.611 rev ; nB = 1.146 rev ; angfB = 52.530 degrees ; rfB = 0.960 m ; vafB = 0.600 rad/s ; vrfB = 0.080 m/s ; Status = success. @end example trunk/Documentation/Manual/English/cfase_lg.png0000777000076400007640000000350512734077052021446 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~]zTXtRaw profile type 8bimxڥSˎ pϡH{vFYm 4ƕm۶mŒB#w`jg6[b^{!L}q1Mc15 l~c:{7D%}LN@]/JKk9fV|%eQXk6Z);jFuI(fdr@]9]@QZE[cXtSG{Ţ?6|`O6 t;|p ,UI%&7M Х%$a~) :c7=)oNs֣'e۾1< } vpAg00W3IDAThkU?ﻴIi11Sj[p[`aN_w rW"H] ue2m͋αnm-ŤIċX$6yoޜyry>™3CL.5o|VWw&'& dy MOUQK>bz͊N5ljFaxT*x,9W69vށwt2?JظklY!?a6ϱݻep[^'jlcmM|kY/ @[5H55ٳIw/Jrju`P-bB|@1dC4ɫe (VZ>Me5~ XxZ0]>"Em_UUL] kOKp533ޒ664$hk޽K͛`\GHx R~]baTp7;Gh4AKVa^ WڀNFO'CB]`sStv+fڜ _aO~ *5p!;z{GZo}i @SoMp8dP҅f| TiI  f,$Ӊ>@"W=]_$ڑ=6s\9 e$ں ֝ɕo/yK"]by9G<t[_.q/2?&ړ7͑ MI j?w_^ QӤ|CI)H4:$ 5\rοwg<J9[/z\*.QR:+|^%! n9 lyd^8*xjjj *O%VbX^^V$v|PZ/<A7!قhtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:03:11-06:00B%tEXtdate:modify2012-05-22T12:37:06-06:00^StEXttiff:alphaunassociated(TCGn4q gT؋>10۽d q h T؋@cJL?vp+*P+ Ex~`<(IcbQU[b5//(rۚkX8+/Ȩy5>g '/w8;/L}'w5>gE'ITLYŋ KxJsZ+yc M.`V w_¤Y?vh8|0ɀ!cئSL}$t}İ3H(H'Z1˵UU9rW#s13:ILGv棼5SŞŞ>XgMCwFw8״8״Gp)m/qgi?{@+샒qLJ~$ko+Z[ҷjӮ߄ϔy'Qn PT؋@Uw_¤Z?vp+*R`!#{XRXw}7}U:2nܫwi?gPU[wKM4P%mz]]_?40%ur^bQwM#v"w"y6}i^;^rn,Y ܩ$͍:4`U #Oi0qcX~&hK0h*'6"ϕGW9|+*b`!#{AcL`L[=Prc8:aK6tZ=pXu gSĆTV MU,q䣣YG-ci>P1ZchqZfT-3ވe|ZfT-3ޟyr =<8\)WX]: z;̰e?mʭXdݖy.̫}'$10۽ojz91;{#)cجؖ'ɵz>+ND93E=2VGch֦;F!NCLƷ2dir'ITMTl&3^gX̭e~aJ)܍l/=ȶG#WQڶ[bNEidF9"\tgqTS?|5[KbclnL9H K'AOOo^>uֲvk;?|%]?|(~;#B}~i=P?|];gnTi~G47: ~3uv_[Z6n{|q h T؋@cJL?vp+*P+:4_&|~MR=醓׷Qnr5-3=j@xG,} KC0nwE&~V`T؋>V w_¤Y?vh8|0n FA@E`Y t3N82*)ڪƺf"[ڨa.GZT<r9UI|NbVGM^ʪ]֢ڿ90F&71SVO+QuTض;cVJ*Ve\kqԺ`|ly/r;Yjn]3asDpj說J]DonSxW21[FN8hU:q>Dj"]o2^N1&c331x]_jdb=1Uj# YQr۴ Ĩ*ꦥ s[IOz6*Mk~1kKt'鎊@T؋@Uw_¤Z?vp+*R`!#{XRXv={/_A ti?iM&uV=n8a)ߩ$so)B韉 nv/4l8%r],U!+)"l[#XjG"{^5*+0kcnf70 ZU`T=TsELhV1#9{խr"Zk2FB{׽sꎊ@T؋@Uw_¤Z?vp+*R`!#{XRX2v._AeTCGnʘ [̱_+ፎV`tgPMtUUUemo)רe|0Yidk#؝\W30)hR dW$p6z"%^7} iI&|5J"[CaZ(H~[c.5]v֯vqYSj#'W c^~/+:@ʊW5bY"rWY5\taNvT@ɣYQZ.'?>553q@ڴQ®dW5UwN:tIҮfUJecv\VݶE-nPk9~Dgw5w?"3:/:'6"G9?ʔHV>TV MK^YN'G=ݮqɡ;+2nkc/>)QKW10۽;&5C+z`핯r*11U6/o{ReKk2!W:7WNMMv~1NyG c!tkv#j.2QmMnA1cl5a+Q3\D׹v rp1KLw9U7TkW0K B`Dk#Dj5=|+XU|1lsUԲYQ|O:YN^t=S}[bgUk)\$jO/U\~$y(0l6N/XG+{dKUU["'X ^qs#8{ G98I͈HV>TCGn_3Q7Yg=_4>OS促@;¯Rsb,X4q g۽&;wV>TVddjd DJTҒ,؝F 捕dU$zfȉmsVB_< :Y4$c'='jnX襏 H}n~t19_4/Tv[29o}:c %ډ· \M4QU5̶T_R͔xuTVuvgJm0zi&vY݊UB+&ZmS };Ry`4q gT؋>10۽G%TPJaqQ΅_JK[ң*Q JKkl:ȻSHmP'|&S%l}KڨƲ"߳Vܦ5/>zȩjV֬(9z]W=\6'-pjWr..Cfw1:k`c5sK#}d[XdXMh11oƵ=S>UW☝lU =!{E[;YDzEE]ʃCDr,WVr5Qvmd6ɵMHuࢧ,vTcYکkڻo~;B{׽s鎊@T؋@Uw_¤Z?vp+*R`!#{XRXL8 I͈`xU*NlECGnʘHqXSXeS]mc L3s G98I͈HV>T 8 I͈!#{AcLL T؋@trunk/Documentation/Manual/English/introduction.texinfo0000777000076400007640000002457212734077052023323 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Welcome, Kinematics, Top, Top @chapter Introduction @cindex Introduction FisicaLab is an educational application to solve physics problems. Its main objective is let the user to focus in physics concepts, leaving aside the mathematical details (FisicaLab take care of them). This allows the user to become familiar with the physical concepts without running the risk of getting lost in mathematical details. And so, when the user gain confidence in applying physical concepts, will be better prepared to solve the problems by hand (with pen and paper). FisicaLab is easy to use and very intuitive. However, in order to take advantage of all its features, we recommend you read first these help files. FisicaLab display two windows, one named @emph{Modules and elements} and other named @emph{Chalkboard}. The first of these windows, contain all modules that can be used to solve problems. These modules are grouped by: kinematics, static, dynamics, ... (see image below). You can select one of these groups with the buttons at the top of the window, marked with (1) in the image. When you leave the mouse's cursor above one of these buttons, a label with the group name is displayed. The buttons marked with (2) let you select the system of units, SI or English. You can see the modules of the selected group inside the box marked with (3). The tabs marked with (4) let you select one of the available modules. The elements of the selected module are displayed inside the box marked with (5). This elements let you set the problems. Inside the box marked with (6) you can write the element's data (if any element is selected, this box will be empty). @center @image{FisicaLabPanel, 7cm} The window named @emph{Chalkboard} (see image below), have at the top two buttons, marked with (7). The button at the left let you solve the problem, and the other is to clean the chalkboard. The black box marked with (8) is the chalkboard, where you add the elements to set the problems. You need keep in mind, although you can't see, that the chalkboard is a grid formed with cells of 50x50 pixels. By default the chalkboard size is 26x18 cells. In @emph{Preferences} panel you can change the size to a maximum of 100x100 cells (A greater size than the default could be useful for trusses problems). The text view marked with (9) is where FisicaLab show the answer and messages. The checkbox marked with (10) erase the content of the text view before show the next answer or message. If you want keep the previous content, unselect this checkbox. In this case you can add notes to identify the results of the different problems. @center @image{FisicaLabPizarra, 7cm} @menu * Handling the elements:: * Element data:: * How it works:: * Messages:: @end menu @node Handling the elements, Element data, Welcome, Welcome @section Handling the elements @cindex Handling the elements To add elements at the chalkboard, do a click above the desired element. The mouse's cursor will become in an open hand, meaning this that we will add an element. Do a click above the chalkboard in the position where you want the element, the mouse's cursor will back at its original shape. Each time you add a new element, or select one different, a yellow square will be drawn around the current element. The data of the current element are displayed, for its edition, at panel @emph{Modules and elements}. When you leave the mouse's cursor above one element in the chalkboard, a label with the element's data is displayed. In @emph{Preferences} panel you can configure the font size of these labels. @center @image{chalkboardProperties, 7cm} If you want move an element, click above it with the @key{Control} key pressed, the mouse's cursor will become in a close hand, meaning this that we are moving an element. Do click in the new position and the mouse's cursor will back at its original shape. In other hand, if you want delete an element, do click above it with the @key{Shift} key pressed. Keep in mind that FisicaLab don't let you combine elements from different modules. The elements in each module are enough to set a wide variety of problems. @node Element data, How it works, Handling the elements, Welcome @section Element data @cindex Element data When you select an element in the chalkboard, or add a new element, you will see a table at the bottom of the window @emph{Modules and elements}. With a double click above any field of the second column, you can write the data. FisicaLab supports scientific notation, to use this use the letter E. For example, to write the number @samp{3.45x10-5}, write: @example 3.45E-5 @end example All numerical data must be without spaces. For example, the following numbers are wrong: @example - 5.3 7.8E - 8 @end example Also, FisicaLab can use many conversion factors. To use these, add the character @kbd{@@} before the conversion. If you have selected the SI system, FisicaLab assumes that all data are in meters, kg, seconds, etc. With the English system, FisicaLab assumes that all data are in feet, pounds, slugs, seconds, etc. (in the English system the mass must be in slugs). For example, if you want write an speed of @samp{75 km/h}, use: @example 75 @@ km/h @end example Here, we have one space before and after the character @kbd{@@}, but these are for clarity, and are not required. Each module has its how conversion factors, as you can see in the sections that deal about these. You can use letters or words to represent the unknown data. If, for example, the final velocity is an unknown data, you can represent this like: @example fv finalv fvel @end example or any other combination. But, we recommend you use letters or words that are related with the unknown data. Also, the conversion factors can be used with the unknown data. For example, if the time is unknown, and you want this in minutes, write something like: @example t @@ min @end example The scientific notation can be used with the unknowns, adding the characters @kbd{#E} at the end of the name. For example, for a coefficient of thermal expansion, that is a small value: @example coefficient#E @end example Also, this can be used with a conversion factor. For example, for a very long distance that we want in kilometers: @example distance#E @@ km @end example All the conversion factors are available in a contextual menu. After select the row of data where want add the factor, a right mouse click open a context menu with all available factors. @sp 1 @center @image{MenuContextual, 7cm} FisicaLab allows mathematical operations directly on the fields where you enter data. Can be carried out operations of addition (@kbd{+}), subtraction (@kbd{-}), multiplication (@kbd{*}) and division (@kbd{/}). Although not allowed to group operations by parentheses. It also provides some useful functions for certain calculations. These are listed below with its description: @multitable @columnfractions .3 .6 @item cos(ang) @tab Calculates the cosine of the sexagesimal angle "ang". @item sin(ang) @tab Calculates the sine of the sexagesimal angle "ang". @item tan(ang) @tab Calculates the tangent of the sexagesimal angle "ang". @item sqrt(x) @tab Calculates the square root of the number "x". @item hypot(a,b) @tab Calculates the hypotenuse of a right triangle whose legs are "a" and "b". @item leg(c,a) @tab Calculates the leg of the right triangle whose hypotenuse is "c" and the other leg is "a". @item rd(m1,m2,d) @tab Calculates the distance of the mass "m1" to the center of mass of the system consisting of the masses "m1" and "m2", which are spaced a distance "d". @end multitable The numbers that are passed as parameters to these functions must have consistent units. For example, in the @samp{hypot()} function both legs must be in the same units, whether centimeters, meters, inches, etc. These functions can be used in operations of addition, subtraction, multiplication and division. In these operations blank spaces are not allowed. Here are some examples: @example 8*cos(34) hypot(4,3)-2 rd(3,6,40)*sin(30) @@ cm 15*8/hypot(13,8) @end example Once entered the operation, FisicaLab will do the calculation and will write the result in the entry. Note that is possible to apply conversion factors. Although these can also be applied after carrying out the calculation. The fields where you enter angles do not allow the operations and functions described above. This is because these fields have their own operations and functions. For example, FisicaLab allows write the angles as slopes (a/b), and automatically convert this to sexagesimal angles. What is very useful for problems of trusses. @center @image{angulos, 7cm} For these fields are available two functions that calculates an angle from other relationships. These functions are: @multitable @columnfractions .3 .6 @item acos(a/c) @tab Calculates the sexagesimal angle whose cosine is the ratio "a/c". @item asin(b/c) @tab Calculates the sexagesimal angle whose sine is the ratio "b/c". @end multitable If an operation is entered incorrectly, for example if it contains spaces or contains a function with an incorrect number of parameters, FisicaLab will do nothing and will take that string as an unknown. @strong{Caution:} @emph{If, for example, you add a mass conversion factor in a time data, this will cause an error in the solution. And you will not get a message about this error.} @node How it works, Messages, Element data, Welcome @section How it works @cindex How it works FisicaLab work over the base of @emph{number of equations = number of unknown data}. In general you don't need worry about this. But in some cases you will see the error @strong{"The system is undetermined"}. This occurs when you write numeric data in a field that must be an unknown data. The examples show this cases. @node Messages, , How it works, Welcome @section Messages @cindex Messages FisicaLab write a wide variety of messages in the text view when a problem is wrong. However, you always will see a message about the calculation's status, as you can see in the following image: @sp 1 @center @image{ejemplo5, 12cm} The last line say @strong{"State = success"}, meaning that the calculation was successful. 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W]pbsLڮ/4kLj`:Ivp\h]לȌT,@h iay@o1J.d/[RD>kFS13btM(O'NbC;'s9*bt%T @end table @sp 1 For the element Force, which represents the normal, and taking into account that the steepness of the curve is 18 degrees, we have: @sp 1 @table @strong @item f normal @item ang 72 @end table @sp 1 And to the friction force: @sp 1 @table @strong @item N normal @item u 0.33 @item ang 18 @end table @sp 1 Now click in the icon Solve to get the answer: @example normal = 11.554 N ; vt = 146.462 km/h ; Ft = 0.000 N ; Status = success. @end example For part b, first remove the friction element, since there should be no friction force: @center @image{dc-e1-2, 4cm} And click in the icon Solve to get the answer: @example normal = 10.315 N ; vt = 97.474 km/h ; Ft = 0.000 N ; Status = success. @end example Now to part c, add again a friction force: @center @image{dc-e1-3, 4cm} With data: @sp 1 @table @strong @item N normal @item u 0.33 @item ang 18 @end table @sp 1 And click again in the icon Solve to get the answer: @example normal = 9.316 N ; vt = 0.503 km/h ; Ft = 0.000 N ; Status = the iteration has not converged yet. @end example What does this mean? That there is no minimum speed. The given coefficient of friction is enough for park the car on the curve without slipping. @page @node Example 2 (cd), Example 3 (cd), Example 1 (cd), Examples circular dynamics @section Example 2 @cindex Example 2 (cd) A small block A is on a table that rotates from rest with a constant tangential acceleration. If the coefficient of static friction between the block and the turntable is 0.57, find the minimum interval of time for the block to reach a speed of 1.2 m/s without slip. @center @image{dc-e2-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, two elements Mobile with circular movement, one element Mobile with perpendicular circular movement, two element Force, one element Angular momentum, one element Moment of a force and one element Maximum acceleration. As show the image below: @center @image{dc-e2-2, 7cm} The element Stationary reference system write to default the gravity value. And the time is unknown. @sp 1 @table @strong @item g 9.81 @item t time @end table @sp 1 The mass of the block is not provided, since it is irrelevant to what is asked. But as we need to specify a mass, will place 1 kg. Thus, for the element Mobile with circular movement placed at left, which represents the initial state, we have: @sp 1 @table @strong @item Name initial @item m 1 @item vt 0 @item r 40 @@ cm @item y 0 @end table @sp 1 For the another element Mobile with circular movement, placed at right, which represents the final state, we have: @sp 1 @table @strong @item Name final @item m 1 @item vt 1.2 @item r 40 @@ cm @item y 0 @end table @sp 1 Now we add both objects to element Angular momentum, where M is the moment that causes the acceleration of the block: @sp 1 @table @strong @item System i initial @item System f final @item M M @end table @sp 1 The element Mobile with perpendicular circular motion is used to set additional conditions on the final state. Calling it A and leaving the center of rotation to the right, we have (both, the tangential acceleration and the tangential force, are unknowns): @sp 1 @table @strong @item Name A @item m 1 @item vt 1.2 @item r 40 @@ cm @item at at @item Ft Ft @item C > @end table @sp 1 And in the element Maximum acceleration, we add the coefficient of friction, which ensures that both, the tangential force (Ft) and the centripetal force, are due to the maximum friction force: @sp 1 @table @strong @item Object A @item u 0.57 @end table @sp 1 Now the element Moment of a force, is used to relate the maximum tangential force (Ft) with the applied moment: @sp 1 @table @strong @item M M @item f Ft @item d 40 @@ cm @end table @sp 1 Finally, for normal and centripetal forces we have, respectively: @sp 1 @table @strong @item f normal @end table @sp 2 @table @strong @item f centripetal @end table @sp 1 Now click in the icon Solve to get the answer: @example centripetal = 3.600 N ; time = 0.280 s ; M = 1.711 N*m ; at = 4.279 m/s2 ; Ft = 4.279 N ; normal = 9.810 N ; Status = success. @end example The minimum time is 0.28 seconds. @page @node Example 3 (cd), Example 4 (cd), Example 2 (cd), Examples circular dynamics @section Example 3 @cindex Example 3 (cd) A 1.7 kg collar is attached to a spring and can sliding in a vertical plane (no friction) along the bar ABC. The spring constant is 550 N/m and is undeformed when its length is 16 cm. If the collar is released in A (V = 0), find its speed when passing through B. @center @image{dc-e3-1, 8cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Object in rest, one element Mobile with circular movement, two elements Spring, two elements Force, one element Initial system, one element Final system and one element Energy. As show the image below: @center @image{dc-e3-2, 5cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. To the element Object in rest, which represents the collar in A, and taking this position as the horizontal reference: @sp 1 @table @strong @item Name initialCollar @item m 1.7 @item y 0 @end table @sp 1 And for the element Spring corresponding to the initial state: @sp 1 @table @strong @item Name initialSpring @item k 550 @item x 7 @@ cm @end table @sp 1 To the element Force applied to it: @sp 1 @table @strong @item f initialForce @end table @sp 1 Both, the element Spring and the element Object in rest, corresponds to the initial state, so we add them to the element Initial system, that we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 initialCollar @item Object 2 initialSpring @item Object 3 0 @item Object 4 0 @end table @sp 1 Now for the element Mobile with circular movement, representing the collar when passing through point B, we have (we do not know the data of the turning radius, but is irrelevant to this problem): @sp 1 @table @strong @item Name finalCollar @item m 1.7 @item vt vt @item r 0 @item y -18 @@ cm @end table @sp 1 For the element Spring that corresponds to the final state: @sp 1 @table @strong @item Name finalSpring @item k 550 @item x 2 @@ cm @end table @sp 1 And to the applied force: @sp 1 @table @strong @item f finalForce @end table @sp 1 Now add this element Spring and the element Mobile with circular movement, which represents the final state, to the element Final system, that we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 finalCollar @item Object 2 finalSpring @item Object 3 0 @item Object 4 0 @end table @sp 1 Finally, add the elements initial and final system in the element Energy. And knowing that energy is conserved, we have: @sp 1 @table @strong @item System i initial @item System f final @item W 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example vt = 2.233 m/s ; initialForce = 38.500 N ; finalForce = 11.000 N ; Status = success. @end example @page @node Example 4 (cd), Example 5 (cd), Example 3 (cd), Examples circular dynamics @section Example 4 @cindex Example 4 (cd) A 1.5 kg collar can slide without friction along a horizontal bar and is attached to two springs of constant 380 N/m, whose undeformed length is 2 cm. If the collar is released from rest in position A, find its speed when passing through point B. @center @image{dc-e4-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Object in rest, one element Mobile with linear movement, four elements Spring, seven elements Force, one element Initial system, one element Final system and one element Energy. As show the image below: @center @image{dc-e4-2, 9cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. To the element Object in rest, which represents the collar in A, we have: @sp 1 @table @strong @item Name initialCollar @item m 1.5 @item y 0 @end table @sp 1 To the Spring element in the vertical position, we have (this spring is neither stretched nor compressed): @sp 1 @table @strong @item Name springOne @item k 380 @item x 0 @end table @sp 1 Now for the force applied to the spring: @sp 1 @table @strong @item f forceOne @end table @sp 1 And to the second spring at the initial state, previously we get the stretched distance, we have (this operation can be done with @code{hypot(6,2)-2 @ cm}): @center @image{dc-e4-3, 7cm} @sp 1 @table @strong @item Name springTwo @item k 380 @item x 4.325 @@ cm @end table @sp 1 And to the applied force (here the angle is irrelevant): @sp 1 @table @strong @item f forceTwo @item ang 0 @end table @sp 1 The element Object in rest and the two springs, are the initial state. Then we add them to the Initial system element, that we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 initialCollar @item Object 2 springOne @item Object 3 springTwo @item Object 4 0 @end table @sp 1 For the element Mobile with linear movement, which represents the collar at point B, and since the movement is horizontal (angle = 0) and the acceleration is unknown, we have (the coordinates x,y are irrelevant to this problem): @sp 1 @table @strong @item Name finalCollar @item m 1.5 @item v v @item x 0 @item y 0 @item ang 0 @item a acceleration @end table @sp 1 For the vertical force, which represents the normal applied by the horizontal bar, we have: @sp 1 @table @strong @item f normal @end table @sp 1 Now, to the force applied at left, the force applied by the spring to the left, and entering the angle as 2/2, we have: @sp 1 @table @strong @item f forceThree @item ang 45.000 @end table @sp 1 And to the force applied at right, the force applied by the spring to the right, and entering the angle as 2/4, we have: @sp 1 @table @strong @item f forceFour @item ang 26.565 @end table @sp 1 Now to the Spring element at left, previously we get the stretched distance (this operation can be done with @code{hypot(2,2)-2 @ cm}): @center @image{dc-e4-4, 7cm} @sp 1 @table @strong @item Name springThree @item k 380 @item x 0.828 @@ cm @end table @sp 1 And to the applied force (here the angle is irrelevant): @sp 1 @table @strong @item f forceThree @item ang 0 @end table @sp 1 Now to the Spring element at right we have, previously we get the stretched distance (this operation can be done with @code{hypot(4,2)-2 @ cm}): @center @image{dc-e4-5, 7cm} @sp 1 @table @strong @item Name springFour @item k 380 @item x 2.472 @@ cm @end table @sp 1 And to the applied force (here the angle is irrelevant): @sp 1 @table @strong @item f forceFour @item ang 0 @end table @sp 1 The element Mobile with linear movement and the two previous springs, are the final state. Then we add them to the Final system element, that we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 finalCollar @item Object 2 springThree @item Object 3 springFour @item Object 4 0 @end table @sp 1 Finally, add the elements initial and final system in the element Energy. And knowing that energy is conserved, we have: @sp 1 @table @strong @item System i initial @item System f final @item W 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example normal = 21.141 N ; forceThree = 3.146 N ; forceFour = 9.394 N ; forceTwo = 16.435 N ; forceOne = -0.000 N ; v = 0.549 m/s ; acceleration = 4.118 m/s2 ; Status = success. @end example The collar speed is 0,549 m/s. @page @node Example 5 (cd), Example 6 (cd), Example 4 (cd), Examples circular dynamics @section Example 5 @cindex Example 5 (cd) A collar of 430 grams can slide without friction along a horizontal rod, which in turn can rotate about a vertical axis. A spring of constant 4 N/m, whose undeformed length is 70 cm, holds the collar to the bar, as shown in the figure below. Initially the bar is turning with a constant angular velocity of 13 rad/s. While a rope holds the collar in the position A. Suddenly the rope breaks and the spring pushes the collar out. Neglecting the mass of the rod, find the tangential velocity of the collar to the position B and its radial acceleration. @center @image{dc-e5-1, 8cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Mobile with circular movement, one element Mobile with polar circular movement, two elements Spring, three elements Force, one element Initial system, one element Final system, one element Energy, one element Angular momentum and one element Angular velocity. As show the image below: @center @image{dc-e5-2, 8cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. Now to the element Mobile with circular movement, which represents the collar in A and taking in account that tangential velocity is unknown, we have: @sp 1 @table @strong @item Name initialCollar @item m 430 @@ g @item vt vInitial @item r 18 @@ cm @item y 0 @end table @sp 1 And in the element Angular velocity we set the provided angular velocity for initial state: @sp 1 @table @strong @item Object initialCollar @item vang 13 @end table @sp 1 For the Spring element of the initial state: @sp 1 @table @strong @item Name initialSpring @item k 4 @item x -52 @@ cm @end table @sp 1 And to the applied force: @sp 1 @table @strong @item f initialForce @end table @sp 1 Now add this element Spring and the element Mobile with circular movement, which represents the initial state, to the element Initial system, that we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 initialCollar @item Object 2 initialSpring @item Object 3 0 @item Object 4 0 @end table @sp 1 Now to the element Mobile with polar circular movement, which represents the collar in position B, we have: @sp 1 @table @strong @item Name finalCollar @item m 430 @@ g @item vt vtFinal @item r 60 @@ cm @item y 0 @item vr vrFinal @item ar arFinal @end table @sp 1 And to the applied force to this element, the force applied by the spring, we have: @sp 1 @table @strong @item f finalForce @end table @sp 1 This force is necessary to find the radial acceleration. Now to the element Spring of final state: @sp 1 @table @strong @item Name finalSpring @item k 4 @item x -10 @@ cm @end table @sp 1 And to the applied force: @sp 1 @table @strong @item f finalForce @end table @sp 1 Now add this element Spring and the element Mobile with polar circular movement, which represents the final state, to the element Final system, that we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 finalCollar @item Object 2 finalSpring @item Object 3 0 @item Object 4 0 @end table @sp 1 And add the elements initial and final system in the element Energy. And knowing that energy is conserved, we have: @sp 1 @table @strong @item System i initial @item System f final @item W 0 @end table @sp 1 And in the element Angular momentum, we add the elements that represents the initial and final collar: @sp 1 @table @strong @item System i initialCollar @item System f finalCollar @item M 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example initialForce = 2.080 N ; finalForce = 0.400 N ; vInitial = 2.340 m/s ; vtFinal = 0.702 m/s ; vrFinal = 2.721 m/s ; arFinal = 0.930 m/s2 ; Status = success. @end example @page @node Example 6 (cd), Example 7 (cd), Example 5 (cd), Examples circular dynamics @section Example 6 @cindex Example 6 (cd) A system consisting of two small spheres of 900 and 350 grams, joined by a thin rod can rotate freely about a vertical axis passing through the center of mass of the system. Initially the system is at rest when a moment of 5 N*m is applied. Neglecting the mass of the rod, find the angular velocity and angular acceleration of the system after 1.2 seconds. Find also the power applied. @center @image{dc-e6-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, four elements Mobile with circular movement, one element Mobile with perpendicular circular movement, two elements Force, one element Initial system, one element Final system, one element Power, one element Angular momentum, two elements Angular velocity, one element Angular acceleration, one element Moment of a force and one element Inertia. As show the image below: @center @image{dc-e6-2, 8cm} The element Stationary reference system write to default the gravity value. And the time is 1.2 seconds: @sp 1 @table @strong @item g 9.81 @item t 1.2 @end table @sp 1 The two elements Mobile with circular movement at top represents the initial state of the system. Taking the left as the sphere of 900 grams, which we call @emph{Ainitial}, and the right as the sphere of 350 grams, which we call @emph{Binitial}, we have respectively: @sp 1 @table @strong @item Name Ainitial @item m 900 @@ g @item vt 0 @item r 17.5 @@ cm @item y 0 @end table @sp 2 @table @strong @item Name Binitial @item m 350 @@ g @item vt 0 @item r 45 @@ cm @item y 0 @end table @sp 1 Now we add these to the Initial system element, which we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 Ainitial @item Object 2 Binitial @item Object 3 0 @item Object 4 0 @end table @sp 1 The two elements Mobile with circular movement on the bottom represents the final state. Calling @emph{Afinal} the sphere of 900 grams and @emph{Bfinal} the sphere of 350 grams, we have: @sp 1 @table @strong @item Name Afinal @item m 900 @@ g @item vt vtAfinal @item r 17.5 @@ cm @item y 0 @end table @sp 2 @table @strong @item Name Bfinal @item m 350 @@ g @item vt vtBfinal @item r 45 @@ cm @item y 0 @end table @sp 1 Now we add these to the Final system element, which we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 Afinal @item Object 2 Bfinal @item Object 3 0 @item Object 4 0 @end table @sp 1 Now add the two systems to element Angular momentum, where we put also the applied momentum: @sp 1 @table @strong @item System i initial @item System f final @item M 5 @end table @sp 1 Also add these to the Power element, where we put the power as an unknown: @sp 1 @table @strong @item System i initial @item System f final @item P power @end table @sp 1 Now in Angular velocity elements, put the final angular velocity as an unknown (the same for both spheres): @sp 1 @table @strong @item Object Afinal @item vang vang @end table @sp 2 @table @strong @item Object Bfinal @item vang vang @end table @sp 1 We use the element Mobile with perpendicular circular movement to know the angular acceleration, applying the force produced by the applied moment. But since the system have two spheres with different mass and different radius, first we get the total mass and the effective turning radius of the final system, using the Inertia element: @sp 1 @table @strong @item System final @item m mTotal @item r radius @end table @sp 1 Now we can obtain the corresponding force for this system using the element Moment of a force: @sp 1 @table @strong @item M 5 @item f Ft @item d radius @end table @sp 1 Now enter these information in the element Mobile with perpendicular circular movement, which we call @emph{system}. As tangential velocity for this system we will place 0, the initial velocity (Since the angular acceleration is constant, has the same value at initial or final state. Anyway, we don't know the final velocity of this mobile.): @sp 1 @table @strong @item Name system @item m mTotal @item vt 0 @item r radius @item at at @item Ft Ft @item C > @end table @sp 1 And to the applied forces: @sp 1 @table @strong @item f normal @end table @sp 2 @table @strong @item f centripetal @end table @sp 1 Finally in the Angular acceleration element, we assign the Mobile with perpendicular circular movement: @sp 1 @table @strong @item Object system @item aang aang @end table @sp 1 Now click in the icon Solve to get the answer: @example normal = 12.263 N ; centripetal = -0.000 N ; mTotal = 1.250 kg ; radius = 0.281 m ; Ft = 17.817 N ; aang = 50.794 rad/s2 ; vtAfinal = 10.667 m/s ; vtBfinal = 27.429 m/s ; vang = 60.952 rad/s ; power = 152.381 N*m/s ; at = 14.254 m/s2 ; Status = success. @end example @page @node Example 7 (cd), Example 8 (cd), Example 6 (cd), Examples circular dynamics @section Example 7 @cindex Example 7 (cd) Two small spheres of 300 grams can slide without friction along a horizontal thin bar, which in turn can rotate about a vertical axis. Initially the bar is rotating at a constant angular speed of 9 rad/s, while a rope holds both spheres at a distance of 15 cm from the axis of rotation. Suddenly the rope breaks and the spheres stops at the ends of the bar. Find the final angular velocity and the loss energy. Also find the centripetal force and centripetal acceleration of the spheres at the beginning and end. @center @image{dc-e7-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, four elements Mobile with circular movement, two elements Force, one element Initial system, one element Final system, one element Energy, one element Angular momentum, two elements Angular velocity and two elements Angular acceleration. As show the image below: @center @image{dc-e7-2, 8cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. Now the two elements Mobile with circular movement at top represents the initial state of the system. Calling them @emph{Ainitial} and @emph{Binitial}, we have: @sp 1 @table @strong @item Name Ainitial @item m 300 @@ g @item vt vtInitial @item r 15 @@ cm @item y 0 @end table @sp 2 @table @strong @item Name Binitial @item m 300 @@ g @item vt vtInitial @item r 15 @@ cm @item y 0 @end table @sp 1 Both have the same tangential speed at the beginning, which is unknown. Now with one of the elements Angular velocity, we set the initial angular velocity. You only need to do this for one of the spheres: @sp 1 @table @strong @item Object Ainitial @item vang 9 @end table @sp 1 For the element Force applied to one of these spheres, that represents the centripetal force, we have: @sp 1 @table @strong @item f centInitial @end table @sp 1 We only add one force because both spheres have the same centripetal force. Now for one of the Centripetal acceleration elements: @sp 1 @table @strong @item Object Ainitial @item ac acInitial @end table @sp 1 Now we add these spheres to the Initial system element, which we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 Ainitial @item Object 2 Binitial @item Object 3 0 @item Object 4 0 @end table @sp 1 Now the two elements Mobile with circular movement at bottom represents the final state of the system. Calling them @emph{Afinal} and @emph{Bfinal}, we have: @sp 1 @table @strong @item Name Afinal @item m 300 @@ g @item vt vtFinal @item r 43 @@ cm @item y 0 @end table @sp 2 @table @strong @item Name Bfinal @item m 300 @@ g @item vt vtFinal @item r 43 @@ cm @item y 0 @end table @sp 1 Both have the same tangential speed at final. For the applied force: @sp 1 @table @strong @item f centFinal @end table @sp 1 And to elements Angular velocity and Centripetal acceleration we have, respectively: @sp 1 @table @strong @item Object Afinal @item vang vangFinal @end table @sp 2 @table @strong @item Object Afinal @item ac acFinal @end table @sp 1 Now we add these spheres to the Final system element, which we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 Afinal @item Object 2 Bfinal @item Object 3 0 @item Object 4 0 @end table @sp 1 And add the elements initial and final system in the element Angular momentum, remember that there isn't an applied moment: @sp 1 @table @strong @item System i initial @item System f final @item M 0 @end table @sp 1 Also add the elements initial and final system in the element Energy: @sp 1 @table @strong @item System i initial @item System f final @item W energy @end table @sp 1 Now click in the icon Solve to get the answer: @example vangFinal = 1.095 rad/s ; acInitial = 12.150 m/s2 ; acFinal = 0.516 m/s2 ; vtInitial = 1.350 m/s ; vtFinal = 0.471 m/s ; centInitial = 3.645 N ; centFinal = 0.155 N ; energy = -0.480 N*m ; Status = success. @end example @page @node Example 8 (cd), Example 9 (cd), Example 7 (cd), Examples circular dynamics @section Example 8 @cindex Example 8 (cd) A small disc of 500 grams and another of 1.5 kg are tied by a rope of 48 cm. Both disks rotate in the direction of clockwise with an angular velocity of 8 rad/s around the center of mass. At the time shown in the image, the center of mass intersects the X axis at 2 meters from the origin with an speed of 0.45 m/s at 55 degrees from the horizontal. Moments after the rope breaks, and it is observed that the disk of 1.5 kg is moved parallel to the axis X and the disk of 500 grams intersects the Y axis at a distance of 4.6 m from the origin. Find a) The speed of both discs after the rope breaks and b) the distance d between the X axis and the trajectory of the disk of 1.5 kg. @center @image{dc-e8-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add two elements Mobile with circular movement, two elements Mobile with linear movement, one element Center of rotation, one element Initial system, one element Final system, two elements Angular velocity, one element Energy, one element Angular momentum and one element Linear momentum. As show the image below: @center @image{dc-e8-2, 6cm} The two elements Mobile with circular movement at left represent the initial state of the system. Taking the left as the disk of 500 grams, which we call @emph{Ainitial}, and the right as the disk of 1.5 kg, which we call @emph{Binitial}, we have respectively (the distance from each disk to the center of rotation can be obtained using the @code{rd()} function and applying the conversion factor): @sp 1 @table @strong @item Name Ainitial @item m 500 @@ g @item vt vtA @item r 36 @@ cm @item y 0 @end table @sp 2 @table @strong @item Name Binitial @item m 1.5 @item vt vtB @item r 12 @@ cm @item y 0 @end table @sp 1 The tangential velocity is unknown. But we know the angular velocity. Therefore to Angular velocity elements, remember that rotation is in sense of clockwise: @sp 1 @table @strong @item Object Ainitial @item vang -8 @end table @sp 2 @table @strong @item Object Binitial @item vang -8 @end table @sp 1 Now for the element Center of rotation, which also forms part of the initial state: @sp 1 @table @strong @item Name center @item v 0.45 @item ang 55 @item x 2 @item y 0 @end table @sp 1 As the two elements Mobile with circular movement and Center of rotation are the initial state, we add them to the element Initial system, which we call @emph{initial}: @sp 1 @table @strong @item Name initial @item Object 1 centtr @item Object 2 Ainitial @item Object 3 Binitial @item Object 4 0 @end table @sp 1 Now for the element Mobile with linear movement at top, that represent the disk of 500 grams that intersect the axis Y, we have, calling it @emph{Afinal}: @sp 1 @table @strong @item Name Afinal @item m 500 @@ g @item v vAfinal @item x 0 @item y 4.6 @item ang angA @item a 0 @end table @sp 1 For the other element Mobile with linear movement at bottom, which represents the disk of 1.5 kg which travels parallel to the X axis at a distance d, and calling it @emph{Bfinal}: @sp 1 @table @strong @item Name Bfinal @item m 1.5 @item v vBfinal @item x 0 @item y d @item ang 0 @item a 0 @end table @sp 1 These two elements form the final state, then we add them to the element Final system, which we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 Afinal @item Object 2 Bfinal @item Object 3 0 @item Object 4 0 @end table @sp 1 Now for the element Energy, knowing that energy is conserved, we have: @sp 1 @table @strong @item System i initial @item System f final @item W 0 @end table @sp 1 To the element Angular momentum, taking into account that no external moments applied: @sp 1 @table @strong @item System i initial @item System f final @item M 0 @end table @sp 1 And to element Linear momentum, no external forces are applied, we have: @sp 1 @table @strong @item System i initial @item System f final @item Fx 0 @item Fy 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example vBfinal = 1.145 m/s ; d = 2.761 m ; vtA = -2.880 m/s ; vtB = -0.960 m/s ; vAfinal = 2.818 m/s ; angA = 148.447 degrees ; Status = success. @end example @page @node Example 9 (cd), Example 10 (cd), Example 8 (cd), Examples circular dynamics @section Example 9 @cindex Example 9 (cd) A child of 30 kg is playing on an ice rink. The child moves at a linear speed of 5 m/s when passing beside a box of 9 kg, which has a rope tied. If the child takes the rope, and once stretched the separation between the child and the box is 6.5 meters, describe the subsequent move of child-box system. @center @image{dc-e9-1, 7cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Mobile with linear movement, two elements Mobile with circular movement, one element Center of rotation, one element Final system, two elements Angular velocity, one element Angular momentum and one element Linear momentum. As show the image below: @center @image{dc-e9-2, 5cm} The element Mobile with linear movement represents the child in the initial state. Assuming initially that moves along the X axis, we have: @sp 1 @table @strong @item Name initialChild @item m 30 @item v 5 @item x 0 @item y 0 @item ang 0 @item a 0 @end table @sp 1 Now the element Center of rotation represents the center around which the child and the box tour at the final state. Noting that the angle of inclination of the rope, once taut, with respect to the horizontal is 27.486 degrees, and the distance from the center of rotation to child is 1.5 meters, we can obtain the coordinates of the center of rotation as (these operations can be done directly at text fields): @example x = 1.5*cos(27.486) = 1.331 y = 1.5*sin(27.486) = 0.692 @end example Thus we have for this element: @sp 1 @table @strong @item Name center @item v vCenter @item ang angCenter @item x 1.331 @item y 0.692 @end table @sp 1 Now the element Mobile with circular movement at top, represents the box, and calculating the distance from this to the center of rotation (5 m, the function @code{rd()} can be used to get this value), we have: @sp 1 @table @strong @item Name finalBox @item m 9 @item vt vtBox @item r 5 @item y 0 @end table @sp 1 The other element Mobile with circular movement to the lower right side, represents the child in the final state, and calculating the distance of the center of rotation (1.5 m, the function @code{rd()} can be used to get this value), we have: @sp 1 @table @strong @item Name finalBoy @item m 30 @item vt vtBoy @item r 1.5 @item y 0 @end table @sp 1 The box and the child have the same angular velocity. Therefore for the Angular velocity elements, respectively: @sp 1 @table @strong @item Object finalBoy @item vang vang @end table @sp 2 @table @strong @item Object finalBox @item vang vang @end table @sp 1 The element Center of rotation and the two elements Mobile with circular movement are the final state. Then we add them to the element Final system, which we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 center @item Object 2 finalBoy @item Object 3 finalBox @item Object 4 0 @end table @sp 1 To the element Angular momentum, taking into account that no external moments applied: @sp 1 @table @strong @item System i initialBoy @item System f final @item M 0 @end table @sp 1 And to element Linear momentum, no external forces are applied, we have: @sp 1 @table @strong @item System i initialBoy @item System f final @item Fx 0 @item Fy 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example vang = 0.355 rad/s ; vCenter = 3.846 m/s ; angCenter = 360.000 degrees ; vtBox = 1.774 m/s ; vtBoy = 0.532 m/s ; Status = success. @end example The center of rotation moves horizontally to the right with a speed of 3.846 m/s. And the boy and the box rotate in a counter-clockwise with an angular velocity of 0.355 rad/s. @strong{Note:} @emph{Note that in this problem the mass of 9 kg does not appear in the initial state. This is because for these problems FisicaLab allows only one object in the initial state. The object that initially is moving.} @page @node Example 10 (cd), Example 11 (cd), Example 9 (cd), Examples circular dynamics @section Example 10 @cindex Example 10 (cd) Three masses are on an horizontal frictionless surface. Two of these, 3 and 6 kg, are at rest and are linked by a lightweight rod. The third, of 1 kg, moves with a speed of 4 m/s as shown in the image. If this collide with mass of 3 kg and bounces at 90 degrees with a speed of 2 m/s. What will be the subsequent movement of the other two masses? Also obtain the absolute velocity of the masses of 3 and 6 kg just after impact. @center @image{dc-e10-1, 6cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add two elements Mobile with linear movement, two elements Mobile with circular movement, one element Center of rotation, one element Final system, two elements Angular velocity, two elements Absolute velocity, one element Angular momentum and one element Linear momentum. As show the image below: @center @image{dc-e10-2, 6cm} The element Mobile with linear movement to the left represents the mass of 1 kg in the initial state. Assuming the mass of 6 kg is at the origin of the coordinate system, we have for this element, called @emph{initial}: @sp 1 @table @strong @item Name initial @item m 1 @item v 4 @item x 0 @item y 20 @@ cm @item ang 0 @item a 0 @end table @sp 1 To the other Mobile with linear movement, which represents the same mass of 1 kg but in the final state, we have, calling it @emph{A} (the X coordinate is @code{40*cos(30)}, this can be operated directly at text field): @sp 1 @table @strong @item Name A @item m 1 @item v 2 @item x 34.641 @@ cm @item y 0 @item ang 90 @item a 0 @end table @sp 1 To the element Center of rotation, around which the masses of 3 and 6 kg rotate in the final state, we first find its coordinates. Noting that the distance from the mass of 6 kg is 13,333 m, we have (these operations can be done directly at text fields): @example x = 13.333*cos(30) = 11.547 y = 13.333*sin(30) = 6.666 @end example Thus we have for this element: @sp 1 @table @strong @item Name center @item v vCenter @item ang angCenter @item x 11.547 @@ cm @item y 6.666 @@ cm @end table @sp 1 Now for the element Mobile with circular movement to the right, that represents the mass of 3 kg in the final state, we have, calling it @emph{B} (the distance from the center can be calculated with the function @code{rd()}): @sp 1 @table @strong @item Name B @item m 3 @item vt vtB @item r 26.666 @@ cm @item y 0 @end table @sp 1 To the other element Mobile with circular movement, that represents the mass of 6 kg in the final state, we have, calling it @emph{C} (the distance from the center can be calculated with the function @code{rd()}): @sp 1 @table @strong @item Name C @item m 6 @item vt vtC @item r 13.333 @@ cm @item y 0 @end table @sp 1 These two elements have the same angular velocity. Therefore for the Angular velocity elements, respectively: @sp 1 @table @strong @item Object B @item vang vang @end table @sp 2 @table @strong @item Object C @item vang vang @end table @sp 1 These three mobiles and the center of rotation constitute the final state, then we add them to the element Final system, that we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 center @item Object 2 A @item Object 3 B @item Object 4 C @end table @sp 1 Since are requested the absolute velocity of masses 3 and 6 kg (B and C), we have for the elements Absolute velocity, respectively: @sp 1 @table @strong @item Object B @item angR 30 @item Center center @item v vB @item ang angB @end table @sp 2 @table @strong @item Object C @item angR 210 @item Center center @item v vC @item ang angC @end table @sp 1 To the element Angular momentum, taking into account that no external moments applied: @sp 1 @table @strong @item System i initial @item System f final @item M 0 @end table @sp 1 And to element Linear momentum, no external forces are applied, we have: @sp 1 @table @strong @item System i initial @item System f final @item Fx 0 @item Fy 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example vang = -3.110 rad/s ; vtC = -0.415 m/s ; vB = 1.274 m/s ; angB = 312.412 degrees ; vtB = -0.829 m/s ; vC = 0.274 m/s ; angC = 30.004 degrees ; vCenter = 0.497 m/s ; angCenter = 333.435 degrees ; Status = success. @end example @strong{Note:} @emph{Note that in this problem the masses of 3 and 6 kg does not appear in the initial state. This is because for these problems FisicaLab allows only one object in the initial state. The object that initially is moving. See previous example.} @page @node Example 11 (cd), Example 12 (cd), Example 10 (cd), Examples circular dynamics @section Example 11 @cindex Example 11 (cd) A mass of 0.1 slugs is released from rest in A and slides without friction along the track shown. If the radius of curvature of the bottom is 3 ft, find the force applied by the track to the mass when it passes through the point B. @center @image{dc-e11-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the English system. And add one element Stationary reference system, one element Object in rest, one element Mobile with circular movement, one element Force and one element Energy. As show the image below: @center @image{dc-e11-2, 5cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. Now the element Object in rest represents the mass at point A. If we take as horizontal reference the position B, the Y coordinate of the mass shall be: @code{5 ft + 3*sin(30) ft = 6.5 ft} (this can be operated directly at text field). Then we have for this element: @sp 1 @table @strong @item Name A @item m 0.1 @item y 6.5 @end table @sp 1 Now to the element Mobile with circular movement, which represents the mass at point B, we have (the tangential velocity is unknown): @sp 1 @table @strong @item Name B @item m 0.1 @item vt vt @item r 3 @item y 0 @end table @sp 1 And to the element Force, which represents the normal force applied by the track: @sp 1 @table @strong @item f normal @item ang 30 @end table @sp 1 Now add the elements initial and final system in the element Energy. And knowing that energy is conserved, we have: @sp 1 @table @strong @item System i A @item System f B @item W 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example normal = 15.563 lb ; vt = 20.460 ft/s ; Status = success. @end example @page @node Example 12 (cd), Example 13 (cd), Example 11 (cd), Examples circular dynamics @section Example 12 @cindex Example 12 (cd) A mass of 3 kg traveling at 32 m/s, as shown in the figure below, explodes separating into two fragments. If these pass through the coordinates shown and the 1.8 kg fragment has the shown direction, find the speed of both fragments, as well as the direction of the fragment of 1.2 kg. @center @image{dc-e12-1, 8cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add three elements Mobile with linear movement, one element Final system, one element Angular momentum and one element Linear momentum. As show the image below: @center @image{dc-e12-2, 6cm} To the element Mobile with linear movement to the left, that represents the mass of 3 kg in the initial state, we have, calling it @emph{A}: @sp 1 @table @strong @item Name A @item m 3 @item v 32 @item x 0 @item y 4 @item ang 0 @item a 0 @end table @sp 1 Now for the element Mobile with linear movement at top, that represents the fragment of 1.8 kg, we have, calling it @emph{B}: @sp 1 @table @strong @item Name B @item m 1.8 @item v vB @item x 8 @item y 6.5 @item ang 38 @item a 0 @end table @sp 1 And to the element Mobile with linear movement at bottom, that represents the fragment of 1.2 kg, we have, calling it @emph{C}: @sp 1 @table @strong @item Name C @item m 1.2 @item v vC @item x 7.5 @item y 0 @item ang angC @item a 0 @end table @sp 1 The fragments B and C are the final state, so we add them to the element Final system, which we call @emph{final}: @sp 1 @table @strong @item Name final @item Object 1 B @item Object 2 C @item Object 3 0 @item Object 4 0 @end table @sp 1 Now to the element Angular momentum, taking into account that no external moments applied: @sp 1 @table @strong @item System i A @item System f final @item M 0 @end table @sp 1 And to element Linear momentum, no external forces are applied, we have: @sp 1 @table @strong @item System i A @item System f final @item Fx 0 @item Fy 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example vB = 44.313 m/s ; vC = 49.372 m/s ; angC = 304.018 degrees ; Status = success. @end example @page @node Example 13 (cd), , Example 12 (cd), Examples circular dynamics @section Example 13 @cindex Example 13 (cd) A small sphere of ​​400 grams, tied to a rope of 60 cm, can oscillate in a vertical plane. If the sphere is released from rest when the rope is stretched horizontally. And if the maximum tension that this support is 7 N, find the angle when the rope breaks. @center @image{dc-e13-1, 5cm} @sp 2 @strong{Solution with FisicaLab} Select the Dynamics group and, inside this, the Circular module. Erase the content of the chalkboard and select the SI system. And add one element Stationary reference system, one element Object in rest, one element Mobile with circular movement, one element Force, one element Energy and one element Sine of angle. As show the image below: @center @image{dc-e13-2, 5cm} The element Stationary reference system write to default the gravity value. And the time is irrelevant for this problem. Now the element Object in rest represents the initial state. If we take as horizontal reference this position, we have for this element: @sp 1 @table @strong @item Name A @item m 400 @@ g @item y 0 @end table @sp 1 To the element Mobile with circular movement, which represents the final state, and taking into account that both the speed and height are unknowns, we have: @sp 1 @table @strong @item Name B @item m 400 @@ g @item vt vt @item r 60 @@ cm @item y yB @end table @sp 1 And to the Force element, which represents the force applied by the rope and taking into account that the angle of the force is the same as that of the rope, we have: @sp 1 @table @strong @item f 7 @item ang ang @end table @sp 1 Now for the Sine of angle element, where we relate the height of the sphere in the final state and the turning radius with the unknown angle, we have: @sp 1 @table @strong @item y yB @item r 60 @@ cm @item ang ang @end table @sp 1 Finally for the element Energy, and knowing that energy is conserved, we have: @sp 1 @table @strong @item System i A @item System f B @item W 0 @end table @sp 1 Now click in the icon Solve to get the answer: @example yB = -0.357 m ; ang = 36.486 degrees ; vt = 2.646 m/s ; Status = success. @end example trunk/Documentation/Manual/English/kinematics-circular.texinfo0000777000076400007640000002631212734077052024525 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Circular kinematics, Examples circular kinematics of particles, Examples kinematics of particles, Top @chapter Module circular kinematics of particles @cindex Module circular kinematics of particles The conversion factors for SI system are: @sp 2 @table @strong @item km kilometer @item cm centimeter @item mm millimeter @item mi miles @item ft feet @item in inch @item h hour @item min minute @item km/h kilometer per hour @item cm/s centimeter per second @item mm/s millimeter per second @item mph miles per hour @item ft/s feet per second @item in/s inch per second @item kt knot @item cm/s2 centimeters per squared second @item mm/s2 millimeters per squared second @item ft/s2 feet per squared second @item in/s2 inch per squared second @item rad radian @item rpm revolutions per minute @end table @page And for the English system are: @sp 2 @table @strong @item km kilometer @item m meter @item cm centimeter @item mm millimeter @item mi miles @item in inch @item h hour @item min minute @item km/h kilometers per hour @item m/s meters per second @item cm/s centimeters per second @item mm/s millimeters per second @item mph miles per hour @item in/s inch per second @item kt knot @item m/s2 meters per squared second @item cm/s2 centimeters per squared second @item mm/s2 millimeters per squared second @item in/s2 inch per squared second @item rad radian @item rpm revolutions per minute @end table @sp 2 This module have 14 elements, presented below. With a description of each one, its data and its number of equations. @menu * Stationary reference system: Stationary reference system (ck). * Mobile with circular motion: Mobile circular (ck). * Mobile with polar circular motion: Mobile polar (ck). * Angular velocity: Angular velocity (ck). * Angular acceleration: Angular acceleration (ck). * Total acceleration: Total acceleration (ck). * Frequency: Frequency (ck). * Period: Period (ck). * Number of laps: Number of laps (ck). * Center of rotation: Center of rotation (ck). * Distance: Distance (ck). * Arc length: Arc length (ck). * Coordinate: Coordinate (ck). * Relative velocity: Relative velocity (ck). @end menu @node Stationary reference system (ck), Mobile circular (ck), Circular kinematics, Circular kinematics @section Stationary reference system @cindex Stationary reference system (ck) @image{s_fijo} An stationary reference system, with the X axis horizontal and positive to the right, and the Y axis vertical and positive to upwards. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item t: @tab End time of the problem. @end multitable @page @node Mobile circular (ck), Mobile polar (ck), Stationary reference system (ck), Circular kinematics @section Mobile with circular motion @cindex Mobile with circular motion (ck) @image{m_circular} Mobile with circular motion (constant radius). The angles are measured from the positive X axis, the positive sense is the opposite of clockwise. Also, a positive value of the tangential velocity, mean that the mobile tour in the opposite sense of clockwise. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Name: @tab Name of the mobile. @item C: @tab Point that makes the center of rotation. If not specified the origin is the center. @item r: @tab Radius of circular motion. @item aci: @tab Centripetal acceleration at initial time. @item at: @tab Tangential acceleration. @item angi: @tab Angle of the initial position. @item vi: @tab Initial tangential velocity. @item ti: @tab Time at which movements begins. @item angf: @tab Angle of the final position. @item vf: @tab Final tangential velocity. @item acf: @tab Centripetal acceleration at end time. @end multitable @page @node Mobile polar (ck), Angular velocity (ck), Mobile circular (ck), Circular kinematics @section Mobile with polar circular motion @cindex Mobile with polar circular motion (ck) @image{m_polar} Mobile with circular motion described by polar coordinates. The angles are measured from the X axis, the positive sense is the opposite of clockwise. Also, a positive value to angular velocity, mean that the mobile tour in the opposite sense of clockwise. And a positive value to radial velocity, indicates that the mobile moves away from the center of rotation. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Name: @tab Name of the mobile. @item C: @tab Point that makes the center of rotation. If not specified the origin is the center. @item aa: @tab Angular acceleration. @item ar: @tab Radial Acceleration. @item angi: @tab Angle of the initial position. @item ri: @tab Initial radius of the mobile. @item vai: @tab Initial angular velocity. @item vri: @tab Initial radial velocity. @item ti: @tab Time at which movements begins. @item angf: @tab Angle of the final position. @item rf: @tab Final radius of the mobile. @item vaf: @tab Final angular velocity. @item vrf: @tab Final radial velocity. @end multitable @page @node Angular velocity (ck), Angular acceleration (ck), Mobile polar (ck), Circular kinematics @section Angular velocity @cindex Angular velocity (ck) @image{v_angular} Measure the angular velocity of the mobile indicated. Only applies to elements Mobile with circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object: @tab Name of the mobile. @item vangi: @tab Angular velocity at initial time. @item vangf: @tab Angular velocity at end time. @end multitable @node Angular acceleration (ck), Total acceleration (ck), Angular velocity (ck), Circular kinematics @section Angular acceleration @cindex Angular acceleration (ck) @image{a_angular} Measure the angular acceleration of the mobile indicated. Only applies to elements Mobile with circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item aang: @tab Angular acceleration. @end multitable @page @node Total acceleration (ck), Frequency (ck), Angular acceleration (ck), Circular kinematics @section Total acceleration @cindex Total acceleration (ck) @image{acel_total} Measure the total acceleration of the mobile indicated. The angle is measured from the radius vector, the positive sense is the opposite of clockwise. @multitable @columnfractions .15 .6 @item Equations: @tab 4 @headitem Data: @tab @item Object: @tab Name of the mobile. @item atoti: @tab Magnitude of total acceleration at initial time. @item aangi: @tab The angle of the initial total acceleration vector. @item atotf: @tab Magnitude of total acceleration at end time. @item aangf: @tab The angle of the end total acceleration vector. @end multitable @node Frequency (ck), Period (ck), Total acceleration (ck), Circular kinematics @section Frequency @cindex Frequency (ck) @image{frecuencia} Measure the frequency of the mobile indicated. If the mobile have a tangential o radial acceleration, the measured frequency is the average value. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item f: @tab Frequency. @end multitable @page @node Period (ck), Number of laps (ck), Frequency (ck), Circular kinematics @section Period @cindex Period (ck) @image{periodo} Measure the period of the mobile indicated. If the mobile have a tangential o radial acceleration, the measured period is the average value. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item T: @tab Period. @end multitable @node Number of laps (ck), Center of rotation (ck), Period (ck), Circular kinematics @section Number of laps @cindex Number of laps (ck) @image{vueltas} Measure the number of laps of the mobile indicated. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item n: @tab Number of laps. @end multitable @page @node Center of rotation (ck), Distance (ck), Number of laps (ck), Circular kinematics @section Center of rotation @cindex Center of rotation (ck) @image{p_estatica} Especifica un centro de rotaci@'on. @multitable @columnfractions .15 .6 @item Equations: @tab None @headitem Data: @tab @item Name: @tab Name of the point. @item x: @tab X coordinate of the point. @item y: @tab Y coordinate of the point. @end multitable @node Distance (ck), Arc length (ck), Center of rotation (ck), Circular kinematics @section Distance @cindex Distance (ck) @image{distancia} Measure the distance between two mobiles at final time. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object 1: @tab Name of the first object. @item Object 2: @tab Name of the second object. @item d: @tab Distance between the mobiles. @end multitable @page @node Arc length (ck), Coordinate (ck), Distance (ck), Circular kinematics @section Arc length @cindex Arc length (ck) @image{arco} Measure the length of the arc described by the mobile indicated. If the mobile have a radial motion, the measured value is approximate. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item s: @tab Arc length. @end multitable @node Coordinate (ck), Relative velocity (ck), Arc length (ck), Circular kinematics @section Coordinate @cindex Coordinate (ck) @image{coordenada} Get the coordinate of the specified mobile at the end time. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object: @tab Name of the mobile. @item x: @tab X coordinate. @item y: @tab Y coordinate. @end multitable @page @node Relative velocity (ck), , Coordinate (ck), Circular kinematics @section Relative velocity @cindex Relative velocity (ck) @image{v_rel} Measure the relative velocity of mobile Object 1 relative to mobile Object 2. The angle is measured from the positive X axis, the positive sense is the opposite of clockwise. Also, this element can be used to measure the relative velocity (in this case the total velocity) of a Mobile with polar circular motion relative to its center of rotation. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object 1: @tab Name of first mobile. @item Object 2: @tab Name of second mobile. @item v: @tab Magnitude of the relative velocity. @item ang: @tab Angle of the relative velocity vector. @end multitable trunk/Documentation/Manual/English/fricciones.png0000777000076400007640000000452612734077052022033 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڥQ ߳.u9Uf@t9(_-x< PX&?ӆy6qGc[Cpy,@Dc#r@ ^DVR` "RJK1 Wh:)d9te!ܮ1y6]N[S5KT 7F}7nc"A[nH3O=MհOp M3n<]m&جXgn:NzT nr޹-Kn@ (R&Lppp4p^Rٰp.7KP-l؎o &;HnrpW0P-}e4a=(v!jȕI݄ sGJ Xyihci&&R>L*("+y2 twnFFk[4fUM] \ -m=nj+[6~KQju5Izpzp3(w'\JC/ͩJx;'XB%vlmcsHk|>'TSBnjvGW|JyPplr/|M=sy震☆= 7 =#WXxBܨp>[TW[[~tZi^l} U>Zj# <VsJC=ruur}Jg}:YyE\\-Wͻ\q/Zަ#=oT|0kS*Y|Xtǃ#@OXmDimb)}SM̩*hzl*6IO,jMd UsV3XیIi hvj[cz<0R]j.SN3T7ctX5>9cمs:<>\7]ŲqݝD O@=I[T576ߖTl-c>v85N&h-T/hVzﯦԞKUbnYk~P[~|⍟y/+ mYuyN.TcBb1ߥw+d>tIԑB-=N_zműR~̦MLX"U.HSsh*f(kbfWZVJxͣcN3oWb\#_Ԗ/efBr{xD5B^+W'y-?b~(7܁>׫f ӞstdO仇x~Us,LmȰ_b'yCz∆nWК2}8;67[ 716yi6 vCᎳ`A1ŷQg'~ TB-_mxkq \5> sΦ͏Uح!ahixOlSl^jHBC;vixXs{a݈?NHH248œ"qtR̟ CӹJNd؝M 0?g ʟ >;VM2 /;:q܁Tjּgʩo4;vfjciwҕoKL PH _.]qkZlĥ.8ᗥr1{BU^T3ӂҋԣKZ0WoԣxtnZ"7Zp BtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-17T23:30:30-06:00VG4%tEXtdate:modify2012-09-19T12:50:55-06:00tEXttiff:alphaunassociated(FtEXttiff:document/home/german/Proyectos/GSfisica/dinamica/friccionesd.tif=e tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/masaLin.png0000777000076400007640000000445012734077052021267 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڕA D}  8m$ogf?_NyTSؼ~}0 Ð,iLK*L)+\rc P2e 0Zkw&uh_0qsgzm.~t6F0v6ޥi4ON=~b{7 Ŭ틜َ$%i&N_;G vpAg00WdIDAThmL_M1&@ )5$!Id,%HU66Z*]4mlv~l&Jڨm-VN]I$Ay[B 5``<x0'^s a=E; sD8Ap#(Mˇ~6bq{U*ڈ Q@nҌ_bK@r#^]Q:rjNppd.=IE 0FѾ!qT!*5'hphْ6"P7_!eG;&!hX(q)!̽O3䊘=vzE! 촟LwVow%ݐ+B;][pxI.GBӲ= yf荒h>fh;ISe ][q!;3:]ww<@~NONGSd ooM[e5L^!I0HFE&Z7>7kk7uvaaRY**VnnL :!GML;)4;/P۴IO I|IJ5!#whWү^GBT]_j-.D7^tXL |jBF& O4Tv&4z>ZּukSS7IMkʝ=E# );y`ѤgX$Cs N+LhUFHb[VL_G)?Du&4K_{_lZە@qɗX%H D}%eTOkX,IR Mno8L1]*ե$Ͳsd?,˟ AUɚ=O${o0IaYWA"JmݦzH@!]ÔQ;*I ҟ'^޼(Q&4oi^N uxSuOқc+ADld={1m'yZr'mA=>̯y(#!:V~/AC7.\@EE9@5Vة7PFBtfmv~Y䳲ػ5ݯO),hV8WvܩV)_QOdiƪa2E\@}~Fn;55?@I47?‘#M5`V)`{a/r]Y>58of;™308==|P(6NX3[@ԉ, CTk}>c6xLXgP*'ZOfQa);?Z1;%u.\Vc/RTt8yr/ƾ}IIA8|s؞}â}U+*ssJU=gO&i)c>lx Gqxbu|kQv<6Jp'2e vgT߿[Xi, c^1R&n^=| 2tEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:11:31-06:00gA%tEXtdate:modify2012-05-23T21:30:28-06:00 tEXttiff:alphaunassociated(btEXttiff:document/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/dinamicaCircular/masaLin.tif[^HtEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/kinematics-examples.texinfo0000777000076400007640000003337312734077052024544 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Examples kinematics of particles, Circular kinematics, Kinematics, Top @chapter Examples kinematics of particles @cindex Examples kinematics of particles @menu * Example 1 (k):: * Example 2 (k):: * Example 3 (k):: * Example 4 (k):: * Example 5 (k):: * Example 6 (k):: * Example 7 (k):: @end menu @node Example 1 (k), Example 2 (k), Examples kinematics of particles, Examples kinematics of particles @section Example 1 @cindex Example 1 (k) A car start from the rest with an acceleration of 3 m/s2. Which velocity, in km/h, have after 7 seconds? Which is the travelled distance in meters? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles module. Erase the content of the chalkboard. And add one element Mobile in X and one element Stationary reference system. As show the image below: @center @image{k-e1} We know the end time, 7 seconds. Then in the element Stationary reference system write this. @sp 1 @table @strong @item tf 7 @end table @sp 1 To the element Mobile in X, we assume that the car begins its movement from the X coordinate 0 and at the time 0. Also, we assume that its movement is in the direction of the positive X axis. But, as we want the final velocity in km/h, we need write: @sp 1 @example vf @@ km/h @end example @sp 1 To the final velocity. As show below: @sp 1 @table @strong @item Name Car @item ax 3 @item xi 0 @item vxi 0 @item ti 0 @item xf d @item vxf vf @@ km/h @end table @sp 1 Where @emph{d} is the final X coordinate, an unknown data. To this example, the name of the mobile @emph{Car} is irrelevant. Now click in the icon Solve to get the answer. @example d = 73.500 m ; vf = 75.600 km/h ; Status = success. @end example @page @node Example 2 (k), Example 3 (k), Example 1 (k), Examples kinematics of particles @section Example 2 @cindex Example 2 (k) A car start from a place B with a constant velocity of 75 km/h at the east. 8 minutes after, other car with a constant velocity of 88 km/h start from a place A to the east. The place A is 5 km to the west of B. How minutes needs the last car to reach the first car? In that moment, which is the distance between the place A and the cars? @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles module. Erase the content of the chalkboard. And add two elements Mobile in X with constant velocity and one element Stationary reference system. As show the image below: @center @image{k-e2} We assume that the Mobile in X at the left, corresponds to the car that start from A. Now, the end time, is an unknown data, then in the element Stationary reference system write: @sp 1 @table @strong @item tf t @@ min @end table @sp 1 Because we want the end time in minutes. Now, we assume that the car that start from A is in the origin of the stationary reference system, and start at 8 minutes. We call this car @emph{Car A}: @sp 1 @table @strong @item Name Car A @item xi 0 @item xf d @@ km @item ti 8 @@ min @item vx 88 @@ km/h @end table @sp 1 To the car that start from B. Its initial X coordinate is 5 km (because the other car is in the origin), and the start time is 0. We call this car @emph{Car B}: @sp 1 @table @strong @item Name Car B @item xi 5 @@ km @item xf d @@ km @item ti 0 @item vx 75 @@ km/h @end table @sp 1 The final X coordinate of both cars is the same, because we want know the moment when the last car reach the first car. Now click in the icon Solve to get the answer. @example d = 101.538 k m ; t = 77.231 min ; Status = success. @end example @page @node Example 3 (k), Example 4 (k), Example 2 (k), Examples kinematics of particles @section Example 3 @cindex Example 3 (k) Two cars start from the same place. One with a constant velocity of 80 km/h at 50 degrees from the east, in the direction north-east. The other with a constant velocity of 95 km/h to the east. In what moment the distance between these cars is 50 km? Give your answer in minutes. @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles module. Erase the content of the chalkboard. And add one element Mobile in X whit constant velocity, one element Mobile radial, one element Distance and one element Stationary reference system. As show the image below: @center @image{k-e3} The end time, is an unknown data, then in the element Stationary reference system write: @sp 1 @table @strong @item tf t @@ min @end table @sp 1 Because we want the time in minutes. Now, we assume that both cars start from the origin of the stationary reference system, and at the time 0. Then, to the element Mobile radial write, we call this car @emph{Car 1}: @sp 1 @table @strong @item Name Car 1 @item a 0 @item angf 50 @item xi 0 @item yi 0 @item vi 88 @@ km/h @item ti 0 @item xf xf1 @item yf yf1 @item vf vf1 @end table @sp 1 We write the final velocity as an unknown data. Although, the acceleration is 0. We do this to satisfied @emph{numbers of equations = numbers of unknown data}. Now, to the Mobile in X write, we call this @emph{Car 2}: @sp 1 @table @strong @item Name Car 2 @item xi 0 @item xf xf2 @item ti 0 @item vx 95 @@ km/h @end table @sp 1 To the element Distance: @sp 1 @table @strong @item Object 1 Car 1 @item Object 2 Car 2 @item d 50 @@ km @end table @sp 1 Where Object 1 and Object 2 are, respectively, the @emph{Car 1} and @emph{Car 2}. And @emph{d} is the distance between both cars, in this case 50 kilometers. Now click in the icon Solve to get the answer. @example xf1 = 36447.231 m ; yf1 = 43436.119 m ; vf1 = 24.444 m/s ; t = 38.660 min ; xf2 = 61212.198 m ; Status = success. @end example The desired data is t = 38.660 min. @page @node Example 4 (k), Example 5 (k), Example 3 (k), Examples kinematics of particles @section Example 4 @cindex Example 4 (k) A cannon shot a projectile at 35 degrees from the horizontal, with a velocity of 17 m/s. We want know the maximum altitude, and the range. @sp 2 @strong{Solution with FisicaLab} Select the Kinematic group and, inside this, the Particles module. Erase the content of the chalkboard. And add one element Cannon and one element Stationary reference system. As show the image below: @center @image{k-e4} The end time, is an unknown data, then in the element Stationary reference system write: @sp 1 @table @strong @item tf t @end table @sp 1 The data of the maximum altitude and range correspond at different times. Then, we need first set the problem to determine the maximum altitude, and after set the problem to determine the range. @sp 2 @strong{Maximum altitude} To this case, to the element Cannon write: @sp 1 @table @strong @item Name Projectile @item ax 0 @item ay -9.81 @item xi 0 @item yi 0 @item vi 17 @item angi 35 @item ti 0 @item xf xf @item yf yf @item vf vf @item angf 0 @end table @sp 1 The acceleration in X axis is 0, but in Y is -9.81 (the acceleration of gravity). We assume that the cannon shot at time 0. And that this is located at the origin of the stationary system. Also, we know that, at the maximum altitude, the angle of the velocity vector is 0. Now click in the icon Solve to get the answer. @example xf = 13.842 m ; yf = 4.846 m ; vf = 13.926 m/s ; t = 0.994 s ; Status = success. @end example The desired data is yf = 4.846 m. @sp 2 @strong{Range} There are many ways to calculate the range. Here, we write to the end Y coordinate 0, and to the final velocity and the end angle write unknown data. This is necessary to satisfied numbers of equations = numbers of unknown data. Then, write: @sp 1 @table @strong @item Name Projectile @item ax 0 @item ay -9.81 @item xi 0 @item yi 0 @item vi 17 @item angi 35 @item ti 0 @item xf xf @item yf 0 @item vf vf @item angf angf @end table @sp 1 Now click in the icon Solve to get the answer: @example xf = 27.683 m ; vf = 17.000 m/s ; angf = -35.000 degrees ; t = 1.988 s ; Status = success. @end example @strong{NOTE:} @emph{If you want the altitude in other position, keep in mind that, in general, are two solutions. The first when the projectile is ascending and the second when the projectile is descending. If you want the second position, you need set the initial position (the start position) after the first position.} @page @node Example 5 (k), Example 6 (k), Example 4 (k), Examples kinematics of particles @section Example 5 @cindex Example 5 (k) A swimmer want to cross a river with a width of 25 meters. Its current have a velocity of 7 m/s. The swimmer take a perpendicular direction to the rive. If the swimmer have a velocity of 7 m/s, how minutes needs to cross the river?, what distance was dragged the swimmer? @sp 2 @strong{Solution with FisicaLab} The velocity of the swimmer is in reference to the river, that is a mobile reference system in reference to the share. With this in mind, erase the content of the chalkboard. And add one element Mobile reference system in X, one element Mobile in Y with constant velocity, and one element Stationary reference system. As show the image below: @center @image{k-e5} We assume that the river's movement is in the direction of the positive X axis. That the swimmer take the direction of the positive Y axis. And that both, the reference system and the swimmer, start from the origin of the stationary reference system. The end time is an unknown data: @sp 1 @table @strong @item tf t @end table @sp 1 To the Mobile in Y with constant velocity, we call this @emph{Swimmer}, write: @sp 1 @table @strong @item Name Swimmer @item yi 0 @item yf 25 @item ti 0 @item vy 2 @end table @sp 1 To the Mobile reference system in X, write: @sp 1 @table @strong @item Name Mobile system @item Object Swimmer @item xsi 0 @item vsx 7 @item xof xf @item vxof vf @end table @sp 1 We write the final velocity to the swimmer in reference to the stationary system, vxof, as an unknown data, to satisfied @emph{numbers of equations = numbers of unknown data}. Of course, this velocity is 7 m/s, because the swimmer don't have a velocity in X axis. Now click in the icon Solve to get the answer. @example t = 12.500 s ; xf = 87.500 m ; vf = 7.000 m/s ; Status = success. @end example @page @node Example 6 (k), Example 7 (k), Example 5 (k), Examples kinematics of particles @section Example 6 @cindex Example 6 (k) Two cars, A and B, start from the same place. A take the direction of the north with a constant velocity of 80 km/h, and B the direction of the east, with an acceleration of 4 m/s2 (start from the rest). After 13 seconds, which is the relative velocity of the car A in reference to B? @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard. And add one element Mobile in X, one element Mobile in Y with constant velocity, one element Relative velocity, and one element Stationary reference system. As show the image below: @center @image{k-e6} We assume that the car A take the direction of the positive Y axis, and car B the direction of the positive X axis. And that both cars start from the origin. Now, as we know the end time, in the element Stationary reference system, write: @sp 1 @table @strong @item tf 13 @end table @sp 1 To the element Mobile in Y with constant velocity, we call this car @emph{Car A}, write: @sp 1 @table @strong @item Name Car A @item yi 0 @item yf yf @item ti 0 @item vy 80 @@ km/h @end table @sp 1 To the element Mobile in X, we call this car @emph{Car B}: @sp 1 @table @strong @item Name Car B @item ax 4 @item xi 0 @item vxi 0 @item ti 0 @item xf xf @item vxf vxf @end table @sp 1 And to the element Relative velocity: @sp 1 @table @strong @item Object 1 Car A @item Object 2 Car B @item v v @item ang ang @end table @sp 1 Where the magnitude and the angle of the relative velocity are unknown data. Now click in the icon Solve to get the answer: @example v = 56.549 m/s ; ang = 156.861 degrees ; xf = 338.000 m ; vxf = 52.000 m/s ; yf = 288.889 m ; Status = success. @end example The desired data are v = 56.549 m/s and ang = 156.861 degrees. @page @node Example 7 (k), , Example 6 (k), Examples kinematics of particles @section Example 7 @cindex Example 7 (k) A car A travel with a velocity of 110 km/h, in some moment pass together a B car, that is in rest. 4 seconds after, the car B start with an acceleration of 2.6 m/s2 in chase to the car A. How seconds need to be 5 meters behind the car A? @sp 2 @strong{Solution with FisicaLab} Erase the content of the chalkboard. And add one element Mobile in X, one element Mobile in X with constant velocity, one element Distance XY, and one element Stationary reference system. As show the image below: @center @image{k-e7} The end time is an unknown data: @sp 1 @table @strong @item tf t @end table @sp 1 We assume that the car A is moving in the direction of the positive X axis. And that both cars start from the origin. The car A is the element Mobile in X with constant velocity. To this, write: @sp 1 @table @strong @item Name Car A @item xi 0 @item xf xfA @item ti 0 @item vx 110 @@ km/h @end table @sp 1 To the element Mobile in X, the car B, write (remember that this car begins its movement after 4 seconds): @sp 1 @table @strong @item Name Car B @item ax 2.6 @item xi 0 @item vxi 0 @item ti 4 @item xf xfB @item vxf vfB @end table @sp 1 To the element Distance XY: @sp 1 @table @strong @item x1 (y1) xfA @item x2 (y2) xfB @item x1 - x2 @itemx (y1 - y2) 5 @end table @sp 1 Now click in the icon Solve to get the answer. @example t = 30.861 s ; xfA = 942.981 m ; xfB 937.981 ; vfB = 69.839 m/s ; Status = success. @end example trunk/Documentation/Manual/English/gas_pc.png0000777000076400007640000000206012734077052021132 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڍ10 {OX[?`{ a+$Y.Be]r5wJfG‡OJrc^2|dZkq9a.:w=彳|0jfg]\Uv vpAg00WIDATh홱JAYlbb/`b!|O` 26I8/wޭCvgv7{@_QΙ3mLU&@ |+֒dvOyME*ty6 0&0jɏVJ=hԾo:`61<0\J[0k{*? ɤ3Mq=ױ1s @L!3x>cƼdӾLP6"k"[tGol(g#č5peXHA=`QtYҙl#Q^P E> @etFD_dwV/M/8ШS766+@֎ Q/'@3Nj9e+X'Y[_VE Iu4*"kQB)u$ɹ-ъ3 "jT #GxWAZ")1tEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:03:11-06:00B%tEXtdate:modify2012-05-22T12:37:07-06:00tEXttiff:alphaunassociated(>tEXttiff:document/home/german/Proyectos/GSfisica/calor/gas_pc.tifJŦTtEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/English/copying.texinfo0000777000076400007640000005604312734077052022250 0ustar germangerman@node GFDL, Indice, Examples calorimetry, Top @chapter GNU Free Documentation License @cindex GNU Free Documentation License @image{meditate-tiny, 3cm} @c The GNU Free Documentation License. @center Version 1.3, 3 November 2008 @c This file is intended to be included within another document, @c hence no sectioning command or @node. @display Copyright @copyright{} 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. @uref{http://fsf.org/} Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. @end display @enumerate 0 @item PREAMBLE The purpose of this License is to make a manual, textbook, or other functional and useful document @dfn{free} in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. 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The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing. @end enumerate @page @heading ADDENDUM: How to use this License for your documents To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page: @smallexample @group Copyright (C) @var{year} @var{your name}. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. 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wZ)/WIike(GFEۚ.̕Jj5C,[5Q2VG[6BOf\TWQi6w#`cỄ]PVG$ L'e24؂;UV[j;(޼SdN&ַh)SYN/i&c)SurRUı&S_#]HXu7+QVIIW5_9}2mU)l2i-W)[ LI87i[\iGXɏ^)~V2'5a;9:-%5zGSo%X%ES[M}wFuɏ^)ׁT$c5QT0o[_Bͳ-1^{=\n%2%V_(]HcMZ:po^hN kzvszuFZJ/i.=QsrIIW,kж/U4Ե]4d߬Q V tttMN*:ddS)P]ׇƛg-Aj*[ Ev5,乢*.[L1-{zt iԍHA JhdI+ьLUrC%k-wj2Z2sSb>G1c9Zh*/3w[Jdkb&wMJJt^+KH'ah(zo~6>Uk 1/]r7 /t'Zʌ{^;J bM 7\?xҰ@e#=3T>YMʟ u.1dqNPw]?] qh$8 {Q?VOzJP.m[Tt5>%UcV*Qz ֹr9r.h*)҃e"\:N?Zmvy{R1X#Y[%2\j\j*.hzs*i5Woꉻ[nWFsp5Xz?{ =wyK4mi6)KM Rz^艭H*.ڜsu+JjdǪnzTڇjw\ZU:$j+esH:vSk&vڹ1/NvǥɫXq-[m<u}Vw]~>A#XJᅮST[&=SwEr"mQӨijUcV=Q -%xuU"/,:inIN˦[~5-qSE[J}M%D UHըinOcʔN]3M? r9zpn iBJ9^dWɯ^=SN?*<6HޚsW4T89ZQPwJ[^&g"/y}IE=\?{ut\glӏT_Ox[kFj"sr\ej\\kjnodWD䅹R)O ;s^s[є3)ijߞ@,CHfmҦku%dksٱ7v~]~VUݭgܿaMxF#=~Uj5u[5W${TӔr?>ujAISkgOhwf\/7j[Mj[ <Y=˒"!WĔX*wV= Z7AdφT_U=~\۪kZ\э4^SoyR)6Ml_.hoZk[kXVF'Ej*.q7'cA", meaning that the center is at right. While "<" mean that the center is at left. @end multitable @page @node Angular velocity (cd), Centripetal acceleration (cd), Mobile perpendicular (cd), Circular dynamics @section Angular velocity @cindex Angular velocity (cd) @image{v_angular} Element to measure the angular velocity of a mobile with circular motion or polar circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile with circular motion or polar circular motion. @item vang: @tab Angular velocity. A positive value mean that the mobile tour in the opposite sense of clockwise. @end multitable @node Centripetal acceleration (cd), Angular acceleration (cd), Angular velocity (cd), Circular dynamics @section Centripetal acceleration @cindex Centripetal acceleration (cd) @image{acel_cent} Element to measure the centripetal acceleration of a mobile with circular motion or polar circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile with circular motion or polar circular motion. @item ac: @tab Centripetal acceleration. @end multitable @page @node Angular acceleration (cd), Energy (cd), Centripetal acceleration (cd), Circular dynamics @section Angular acceleration @cindex Angular acceleration (cd) @image{a_angular} Element to measure the angular acceleration of a mobile with perpendicular circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile with perpendicular circular motion. @item aang: @tab Angular acceleration. @end multitable @node Energy (cd), Angular momentum (cd), Angular acceleration (cd), Circular dynamics @section Energy @cindex Energy (cd) @image{energia} Element to set the principle of the energy and work for two objects or systems. In case of problems involving an element Center, it is assumed that events occur in a horizontal plane, so the gravitational potential energy is not taken into account. Nor does it take into account for the case of the explosion of a projectile. Since it is considered the state an instant before the explosion and the state an instant after it. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item System i: @tab A System or Object that represent the initial state. @item System f: @tab A System or Object that represent the final state. @item W: @tab The work involved in changing state. @end multitable @page @node Angular momentum (cd), Linear momentum (cd), Energy (cd), Circular dynamics @section Angular momentum @cindex Angular momentum (cd) @image{momento_ang} Element to set the principle of angular momentum and angular impulse for two objects or systems. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item System i: @tab A System or Object that represent the initial state. @item System f: @tab A System or Object that represent the final state. @item M: @tab The moment involved in changing state. Will be used the time specified in Stationary reference system. @end multitable @page @node Linear momentum (cd), Power (cd), Angular momentum (cd), Circular dynamics @section Linear momentum @cindex Linear momentum (cd) @image{momento} Element to set the principle of linear momentum and impulse for two objects or systems. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item System i: @tab A System or Object that represent the initial state. @item System f: @tab A System or Object that represent the final state. @item Fx: @tab Horizontal force involved in changing state. Will be used the time specified in Stationary reference system. @item Fy: @tab Vertical force involved in changing state. Will be used the time specified in Stationary reference system. @end multitable @page @node Power (cd), Initial System (cd), Linear momentum (cd), Circular dynamics @section Power @cindex Power (cd) @image{potencia} Element to measure the developed/applied power in changing state. In case of problems involving an element Center, it is assumed that events occur in a horizontal plane, so the gravitational potential energy is not taken into account. Nor does it take into account for the case of the explosion of a projectile. Since it is considered the state an instant before the explosion and the state an instant after it. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item System i: @tab A System or Object that represent the initial state. @item System f: @tab A System or Object that represent the final state. @item P: @tab Power. @end multitable @page @node Initial System (cd), Final System (cd), Power (cd), Circular dynamics @section Initial System @cindex Initial System (cd) @image{inicial} An initial system composed of several objects. Allows elements Object in rest, Mobile with linear movement, Mobile with circular movement, Mobile with polar circular movement, Center and Springs. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the system. @item Object 1: @tab Object part of the system. @item Object 2: @tab Object part of the system. @item Object 3: @tab Object part of the system. @item Object 4: @tab Object part of the system. @end multitable @page @node Final System (cd), Center of rotation (cd), Initial System (cd), Circular dynamics @section Final System @cindex Final System (cd) @image{final} A final system composed of several objects. Allows elements Object in rest, Mobile with linear movement, Mobile with circular movement, Mobile with polar circular movement, Center and Springs. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the system. @item Object 1: @tab Object part of the system. @item Object 2: @tab Object part of the system. @item Object 3: @tab Object part of the system. @item Object 4: @tab Object part of the system. @end multitable @page @node Center of rotation (cd), Springs (cd), Final System (cd), Circular dynamics @section Center of rotation @cindex Center of rotation (cd) @image{p_estatica} Center of rotation, to be used in a system of mobiles with circular movement that tour around this. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the center of rotation. @item v: @tab The velocity of the center. @item ang: @tab Angle of the velocity vector. Measured from the positive X axis, the positive sense is the opposite of clockwise. @item x: @tab X coordinate of the center. @item y: @tab Y coordinate of the center. @end multitable @page @node Springs (cd), Forces (cd), Center of rotation (cd), Circular dynamics @section Springs @cindex Springs (cd) @image{resortes} Springs without mass, that satisfies the Hooke's law. @emph{d} is the length that the spring is stretched or compressed. If the spring is stretched @emph{d} is positive, if is compressed is negative. Allow one or two forces (not frictions). If have two forces these must have different sense (stretching or compressing the spring), and the same values or unknown data. @multitable @columnfractions .15 .6 @item Equations: @tab 1. @headitem Data: @tab @item k: @tab Spring constant. @item d: @tab Length that the spring is stretched or compressed. @end multitable @node Forces (cd), Frictions (cd), Springs (cd), Circular dynamics @section Forces @cindex Forces (cd) @image{fuerzas} Forces with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f: @tab Magnitude of the force. @item ang: @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @end multitable @page @node Frictions (cd), Angles (cd), Forces (cd), Circular dynamics @section Frictions @cindex Frictions (cd) @image{friccionCircular} Frictions with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @item @item f: @tab Magnitude of the force. @item u: @tab Static coefficient of friction. @item ang: @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @end multitable @node Angles (cd), Moment (cd), Frictions (cd), Circular dynamics @section Angles @cindex Angles (cd) @image{angcomp} To relate two angles that must be complementary. Both angles must be unknowns. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item ang1: @tab One angle. @item ang2: @tab Other angle. @end multitable @page @node Moment (cd), Total acceleration (cd), Angles (cd), Circular dynamics @section Moment of a force or couple of forces @cindex Moment of a force or couple of forces (cd) @image{par} Element to relate the moment of a force with the magnitude of the force and the moment arm. Or to relate the moment of a couple of forces with the magnitude of one of the forces and the arm of the couple. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item M: @tab Moment, a positive value correspond with the opposite sense of clockwise. @item f: @tab Magnitude of the force, or the magnitude of one of the forces in the couple. @item d: @tab The moment arm, or the arm of the couple. @end multitable @page @node Total acceleration (cd), Maximum acceleration (cd), Moment (cd), Circular dynamics @section Total acceleration (Triangle of accelerations) @cindex Total acceleration (Triangle of accelerations) (cd) @image{aceleracionTriangulo} Element to measure the vector of the total acceleration of a mobile with perpendicular circular motion. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object: @tab Name of the mobile. @item atot: @tab Total acceleration. @item ang: @tab Angle of the vector total acceleration, measured from the radius vector. The positive sense is the opposite of clockwise. @end multitable @node Maximum acceleration (cd), Inertia (cd), Total acceleration (cd), Circular dynamics @section Maximum acceleration @cindex Maximum acceleration (cd) @image{a_maxima} Set the total acceleration, for a mobile with perpendicular circular motion, to the caused by the maximum friction. This to the case when the friction force produces an tangential acceleration and the centripetal acceleration (to the case when the friction force produces only the centripetal acceleration, just apply a friction force to the mobile). @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Object: @tab Name of the mobile. @item u: @tab Static coefficient of friction. @end multitable @page @node Inertia (cd), Absolute velocity (cd), Maximum acceleration (cd), Circular dynamics @section Inertia @cindex Inertia (cd) @image{sis_rotacion} Element to measure the effective radius of rotation and total mass of a system with two or three elements mobile with circular movement. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item System: @tab Name of the system. @item m: @tab Total mass of the system. @item r: @tab Effective radius of rotation. @end multitable @page @node Absolute velocity (cd), Sine of angle (cd), Inertia (cd), Circular dynamics @section Absolute velocity @cindex Absolute velocity (cd) @image{vel_absoluta} Element to measure the absolute velocity of a mobile with circular movement that turns around an element center. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Object: @tab Name of the mobile with circular movement. @item angR: @tab Angle of rotation of the mobile, measured from the positive X axis. The positive sense is the opposite of clockwise. @item Center @tab Name of the center. @item v: @tab Absolute velocity of the mobile. @item ang: @tab Angle of the vector absolute velocity, measured from the positive X axis. The positive sense is the opposite of clockwise. @end multitable @page @node Sine of angle (cd), Combinations (cd), Absolute velocity (cd), Circular dynamics @section Sine of angle @cindex Sine of angle (cd) @image{seno} Element to define the sine of an angle as from the radius of a circular path and the height of it above/below the horizontal. The sign of the height is not taken into account, only its absolute value is used. @image{seno_angulo, 4cm} @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item y: @tab Height. @item r: @tab Turning radius. @item ang: @tab Angle. @end multitable @page @node Combinations (cd), , Sine of angle (cd), Circular dynamics @section Supported combinations of elements Energy, Angular Momentum, Linear Momentum and Power @cindex Supported combinations of elements Energy, Angular Momentum, Linear Momentum and Power (cd) The following abbreviations are used: @sp 2 @table @strong @item OR Object in rest. @item ML Mobile with linear movement. @item MC Mobile with circular movement. @item MP Mobile with polar circular movement. @item C Center of rotation. @item S Spring. @end table @sp 2 Energy and Power elements support the following combinations: @multitable @columnfractions .48 .48 @headitem System i @tab System f @item OR @tab OR @item OR @tab ML @item OR @tab MC @item ML @tab OR @item ML @tab ML @item ML @tab MC @item MC @tab OR @item MC @tab ML @item MC @tab MC @item MC @tab MP @item MP @tab MC @item MP @tab MP @item ML @tab Final system with 2 ML @item ML @tab Final system with 3 ML @item ML @tab Final system with 4 ML @item ML @tab Final system with 2 MC and 1 C @item ML @tab Final system with 2 MC, 1 ML and 1 C @item Initial system with 2 MC @tab Final system with 2 MC @item Initial system with 3 MC @tab Final system with 3 MC @item Initial system with 1 MC and 1 S @tab Final system with 1 MC and 1 S @item Initial system with 1 ML and 1 S @tab Final system with 1 ML and 1 S @item Initial system with 1 ML and 2 S @tab Final system with 1 ML and 2 S @item Initial system with 1 ML and 3 S @tab Final system with 1 ML and 3 S @item Initial system with 2 MC and 1 C @tab Final system with 2 ML @item Initial system with 3 MC and 1 C @tab Final system with 3 ML @item Initial system with 3 MC and 1 C @tab Final system with 2 MC, 1 ML and 1 C @item Initial system with 1 MC and 1 S @tab Final system with 1 OR and 1 S @item Initial system with 1 OR and 1 S @tab Final system with 1 MC and 1 S @item Initial system with 1 ML and 1 S @tab Final system with 1 OR and 1 S @item Initial system with 1 OR and 1 S @tab Final system with 1 ML and 1 S @item Initial system with 1 ML and 2 S @tab Final system with 1 OR and 2 S @item Initial system with 1 OR and 2 S @tab Final system with 1 ML and 2 S @item Initial system with 1 ML and 3 S @tab Final system with 1 OR and 3 S @item Initial system with 1 OR and 3 S @tab Final system with 1 ML and 3 S @item Initial system with 1 MC and 1 S @tab Final system with 1 MP and 1 S @item Initial system with 1 MP and 1 S @tab Final system with 1 MC and 1 S @item Initial system with 1 MP and 1 S @tab Final system with 1 MP and 1 S @end multitable @page The element Angular Momentum supports the following combinations: @multitable @columnfractions .48 .48 @headitem System i @tab System f @item MC @tab MC @item MC @tab MP @item MP @tab MC @item MP @tab MP @item ML @tab Final system with 2 ML @item ML @tab Final system with 3 ML @item ML @tab Final system with 4 ML @item ML @tab Final system with 2 MC and 1 C @item ML @tab Final system with 2 MC, 1 ML and 1 C @item Initial system with 2 MC @tab Final system with 2 MC @item Initial system with 3 MC @tab Final system with 3 MC @item Initial system with 2 MC and 1 C @tab Final system with 2 ML @item Initial system with 3 MC and 1 C @tab Final system with 3 ML @item Initial system with 3 MC and 1 C @tab Final system with 2 MC, 1 ML and 1 C @end multitable @page The element Linear Momentum supports the following combinations: @multitable @columnfractions .48 .48 @headitem System i @tab System f @item ML @tab ML @item ML @tab Final system with 2 ML @item ML @tab Final system with 3 ML @item ML @tab Final system with 4 ML @item ML @tab Final system with 2 MC and 1 C @item ML @tab Final system with 2 MC, 1 ML and 1 C @item Initial system with 2 MC and 1 C @tab Final system with 2 ML @item Initial system with 3 MC and 1 C @tab Final system with 3 ML @item Initial system with 3 MC and 1 C @tab Final system with 2 MC, 1 ML and 1 C @end multitable trunk/Documentation/Manual/English/sr-e10-3.jpg0000777000076400007640000001622012734077052021044 0ustar germangermanJFIFHHC    #%$""!&+7/&)4)!"0A149;>>>%.DIC;C  ;("(;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;h"R  !1q357AQt"a26Us#Tb4BCSVrR$E9  !124AQar"3SqB#R ?䷞<2wLY0&^xR2ǕfNlv>PaBO|56Ǜe2D&{*ʨ^Zy]2d|O+tSV/?h,J5Ctu%̛pm@뻎.y:=>H٩e}9zV#np<^tuy8tm:'+{iĖk2o}fMnjo7zmEO-jaR"*&8c^, j\ X-TקJ/9O ||OsKK?7k2ۭRܣZFG#htj1S|Fu? 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""" """ ִMIjt^"(2j$bڸ#2Zn FpJ[ ~'$mlb|z\H?D5oIUnDz97vߛo#nf[tǀ|Wq- ծaX4BY Hs͇&<`OO ᜹VտF̵{"~uӗ.5}{iu'LJ&T"uۥi|X®^8mGu0\ :N\#6#Ox c s7w6=1#$GqqԓV˓Q"=k}Mڎ> m$/'74M+G\I=|") nNPxDDD@d62d_lFh@1X w=>#@G.;xY`գ}=}]d35\$cIդ t|h.[Gz +h5<ՏA]<~Jw ɁJ\ >Jfm%2%baX絡ѺwZN%.[Gz +h5<ՏAW͚y?$#QtTTV=ꕴʞjǠ39f›V-G#25禃R8-+h5<ՏA:mƲ(YU3k8nYq$4不4M&iƄ˳0Xty(GǽP]+h5<ՏA:mƲ)JRrJ]+h5<ՏA:mƲ/L}E]RYSXVk*yQtTTV=ꕴʞjǠ]+h5<ՏA:mƲ 9AuJ?eO5cN[Gz}E]RYSXVk*ytrunk/Documentation/Manual/English/k-e5.jpg0000777000076400007640000000372212734077052020441 0ustar germangermanJFIFHHC  !"$"$Cq" ; !"1AQa2bdq#$36Rt0!1QAqa"#R ? x9.xŨ٧K^𬒩Xf; g]kVȠX]}tUv ٣;pFs?V2etg9gh\7-ma,ؿ2^H:e=~kgjoM3iYƲpuF䬓j1'鲗蟟w{uSVƉK\~{KY9R_3\Ǫ隂eۏGӞye\ܱry4kZuG@;6Kŧl3<al [~DdessF1 -[Kwl{?>Ҟً M_4}]zn=6ıU;MuU˂R4|UQo{c߁-?)̆^R$k;e%׼m&+iIu WRԵ<̌ܛ_cIR}[#zjuKTRPhtrunk/Documentation/Manual/English/statics-rigid.texinfo0000777000076400007640000003212612734077052023342 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Rigid statics, Examples statics rigid bodies, Examples statics, Top @chapter Module rigid statics @cindex Module rigid statics The conversion factors for SI system are: @sp 2 @table @strong @item cm centimeter @item mm millimeter @item ft feet @item in inch @item g gram @item slug slug @item T metric ton @item N*cm Newton centimeter @end table @sp 2 And for the English system are: @sp 2 @table @strong @item kg kilogram @item g gram @item m meter @item cm centimeter @item mm millimeter @item in inch @item lb*in pounds inch @end table @sp 2 In this module, the forces (elements Force, Friction and Resultant) are applied to elements object (elements Point, elements of beam or elements of solid), placing these at adjacent cells to the objects. Each element object, if isn't placed at the chalkboard's border, has 8 adjacent cells. This module have 27 elements, presented below. With a description of each one, its data and its number of equations. Notice that some elements add two or three equations, depending on the forces applied to it. If all forces are horizontals, or verticals, two equations are added, otherwise three equations are added. @page @menu * Stationary reference system: Stationary reference system (rs). * Points: Points (rs). * Beam: Beam (rs). * Solid: Solid (rs). * Point: Point (rs). * Angles: Angles (rs). * Elements of beam: Elements of beam (rs). * Elements of solid: Elements of solid (rs). * Forces: Forces (rs). * Frictions: Frictions (rs). * Couple: Couple (rs). * Beams of 2 forces: Beams of 2 forces (rs). * Truss: Truss (rs). * Joint: Joint (rs). * Beams of truss: Beams of truss (rs). * Resultant: Resultant (rs). * Resultant with horizontal force: Resultant horizontal (rs). * Resultant with vertical force: Resultant vertical (rs). @end menu @node Stationary reference system (rs), Points (rs), Rigid statics, Rigid statics @section Stationary reference system @cindex Stationary reference system (rs) @image{s_fijo} Stationary reference system, with X axis horizontal and positive to the right, and Y axis vertical an positive to upwards. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item g: @tab Value of the gravity (absolute value). To default FisicaLab write the gravity value to the selected system (9.81 m/s2 to SI, and 32.2 ft/s2 to English system). @end multitable @node Points (rs), Beam (rs), Stationary reference system (rs), Rigid statics @section Points @cindex Points (rs) @image{puntos} Set a rigid body, without mass, composed by elements Point. Not support forces, frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab 2 or 3 @headitem Data: @tab @item Name: @tab Name of the body. @end multitable @page @node Beam (rs), Solid (rs), Points (rs), Rigid statics @section Beam @cindex Beam (rs) @image{vigaInfo} Set a rigid body (a beam) composed by elements of beam. Not support forces, frictions or resultants. Starting from a horizontal beam, the left side is the vertex to measure the angle. @multitable @columnfractions .15 .6 @item Equations: @tab 2 or 3. If all applied forces are vertical, are two equations (the sum of vertical forces and sum of moments). Isn't allowed apply horizontal forces only, because FiscaLab assumes that the beam have a weight. @headitem Data: @tab @item Name: @tab Name of the beam. @item m: @tab Mass of the beam. @item lc: @tab Distance from the center of mass of the beam to the vertex point (the distance is measured along the beam). @item ang: @tab Angle of inclination of the beam, measured from the positive X axis. The positive sense is the opposite of clockwise. @end multitable @page @node Solid (rs), Point (rs), Beam (rs), Rigid statics @section Solid @cindex Solid (rs) @image{solidoInfo} Set a rigid body (a solid of any shape) composed by elements of solid. Not support forces, frictions or resultants. If the solid is placed above an inclined surface, the coordinates X and Y of the mass center, and the coordinates X and Y of all it's elements, are measured from an X axis, parallel at surface and positive to upwards, and a Y axis perpendicular to surface and positive to upwards. @multitable @columnfractions .15 .6 @item Equations: @tab 2 or 3. If all applied forces are vertical, are two equations (the sum of vertical forces and sum of moments). Isn't allowed apply horizontal forces only, because FiscaLab assumes that the solid have a weight. @headitem Data: @tab @item Name: @tab Name of the solid. @item m: @tab Mass of the solid. @item xc: @tab X coordinate of the center of mass. @item yc: @tab Y coordinate of the center of mass. @item ang: @tab Angle of the surface where the solid is placed. Is measured from the positive X axis and the positive sense is the opposite of clockwise. @end multitable @page @node Point (rs), Angles (rs), Solid (rs), Rigid statics @section Point @cindex Point (rs) @image{punto} Element to a body without mass (Points), can be added any number of points to make the body. Support forces, frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Points: @tab Name of the rigid body to which it belongs. @item x: @tab X coordinate of the point. @item y: @tab Y coordinate of the point. @end multitable @node Angles (rs), Elements of beam (rs), Point (rs), Rigid statics @section Angles @cindex Angles (rs) @image{angcomp} To relate two angles that must be complementary. Both angles must be unknowns. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item ang1: @tab One angle. @item ang2: @tab Other angle. @end multitable @page @node Elements of beam (rs), Elements of solid (rs), Angles (rs), Rigid statics @section Elements of beam @cindex Elementos de viga (rs) @image{vigas} Element to a beam, can be added any number of elements to make the beam. All have the same properties, only change the image for visual purposes (know when a beam is vertical, horizontal or have a slope). Support forces, frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Beam: @tab Name of the beam to which it belongs. @item l: @tab Distance from the element to the vertex point. @end multitable @page @node Elements of solid (rs), Forces (rs), Elements of beam (rs), Rigid statics @section Elements of solid @cindex Elements of solid (rs) @image{solidos} Element to a solid, can be added any number of elements to make the solid. All have the same properties, only change the image for visual purposes (know when a part is on the edge or inside the solid, or if is a curved or inclined surface). Support forces, frictions or resultants. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Solid: @tab Name of the solid to which it belongs. @item x: @tab X coordinate of the element. @item y: @tab Y coordinate of the element. @end multitable @page @node Forces (rs), Frictions (rs), Elements of solid (rs), Rigid statics @section Forces @cindex Forces (rs) @image{fuerzas} Forces with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f @tab Magnitude of the force. @item ang @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @end multitable @node Frictions (rs), Couple (rs), Forces (rs), Rigid statics @section Frictions @cindex Fricciones (rs) @image{fricciones} Frictions with the direction and sense of the arrow. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Normal: @tab Normal to calculate the friction force. @item ang: @tab Positive angle of the force, measured from the horizontal. This entry is displayed only for oblique forces. @item u: @tab Friction coefficient, static or dynamic. @end multitable @page @node Couple (rs), Beams of 2 forces (rs), Frictions (rs), Rigid statics @section Couple @cindex Couple (rs) @image{par} Moment of a couple of forces. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item m: @tab Moment of the couple. A positive value corresponds to a direction opposite to clockwise. @end multitable @page @node Beams of 2 forces (rs), Truss (rs), Couple (rs), Rigid statics @section Beams of 2 forces @cindex Beams of 2 forces (rs) @image{viga2F} Force applied by a beam of 2 forces. This elements have similar characteristics of forces. The only difference is that if the data of the force is unknown, the result will display if the beam is in tension or compression. Since this element represent the force applied by the beam, a positive value means compression and a negative means tension. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item f: @tab Magnitude of the force. If this data is unknown, FisicaLab will display in the result if the beam is in tension or compressed. @item ang: @tab Positive angle of the force, measured from the horizontal. This entry is present only in oblique beams. @end multitable @page @node Truss (rs), Joint (rs), Beams of 2 forces (rs), Rigid statics @section Truss @cindex Truss (rs) @image{armadura} Simple truss. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item Name: @tab Name of the truss. @end multitable @node Joint (rs), Beams of truss (rs), Truss (rs), Rigid statics @section Joint @cindex Joint (rs) @image{nodo} Joint of truss. Support forces and beams of truss. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Truss: @tab Name of the truss that owns the joint. @end multitable @page @node Beams of truss (rs), Resultant (rs), Joint (rs), Rigid statics @section Beams of truss @cindex Beams of truss (rs) @image{vigasArm} Beams of truss. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item t: @tab Magnitude of the force inside the beam. A positive value means tension and a negative value means compression. If this data is unknown, FisicaLab will display in the result if the beam is in tension or compressed. @item ang: @tab Positive angle of the force, measured from the horizontal. This entry is present only in oblique beams. @end multitable @page @node Resultant (rs), Resultant horizontal (rs), Beams of truss (rs), Rigid statics @section Resultant @cindex Resultant (rs) @image{resultanteR} General resultant. @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item mr: @tab Resultant moment. A positive value corresponds to a sense opposite to clockwise. @item fr: @tab Magnitude of the resultant force. @item ang: @tab Angle of the resultant force, measured from the positive X axis. The positive sense is the opposite of clockwise. @end multitable @node Resultant horizontal (rs), Resultant vertical (rs), Resultant (rs), Rigid statics @section Resultant with horizontal force @cindex Resultante con fuerza horizontal (rs) @image{resultante_hR} Resultant with horizontal force (positive to the right and negative to the left). @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item mr: @tab Resultant moment. A positive value corresponds to a sense opposite to clockwise. @item fr: @tab Magnitude of the resultant force. @end multitable @page @node Resultant vertical (rs), , Resultant horizontal (rs), Rigid statics @section Resultant with vertical force @cindex Resultante con fuerza vertical (rs) @image{resultante_vR} Resultant with vertical force (positive to upwards and negative to downwards). @multitable @columnfractions .15 .6 @item Equations: @tab None. @headitem Data: @tab @item mr: @tab Resultant moment. 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Arias. @c See the file copying.texinfo for copying conditions. @node Dinamica, Ejemplos dinamica, Ejemplos estatica rigida, Top @chapter M@'odulo de din@'amica de part@'{@dotless{i}}culas @cindex M@'odulo de din@'amica de part@'{@dotless{i}}culas Los factores de conversi@'on disponibles en este m@'odulo para el sistema SI son: @sp 2 @table @strong @item h hora @item min minuto @item hp caballo de potencia @item cv caballo de vapor @item T tonelada m@'etrica @item g gramo @item slug slug @item km kil@'ometro @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item mi milla @item ft pie @item in pulgada @item km/h kil@'ometros por hora @item cm/s cent@'{@dotless{i}}metros por segundo @item mm/s mil@'{@dotless{i}}metros por segundo @item mph millas por hora @item ft/s pies por segundo @item in/s pulgadas por segundo @item kt nudo @item cm/s2 cent@'{@dotless{i}}metros por segundo al cuadrado @item mm/s2 mil@'{@dotless{i}}metros por segundo al cuadrado @item ft/s2 pies por segundo al cuadrado @item in/s2 pulgadas por segundo al cuadrado @end table @page Y los disponibles para el sistema Ingl@'es son: @sp 2 @table @strong @item h hora @item min minuto @item hp caballo de potencia @item cv caballo de vapor @item kg kilogramo @item g gramo @item km kil@'ometro @item m metro @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item mi milla @item in pulgada @item km/h kil@'ometros por hora @item m/s metros por segundo @item cm/s cent@'{@dotless{i}}metros por segundo @item mm/s mil@'{@dotless{i}}metros por segundo @item mph millas por hora @item in/s pulgadas por segundo @item kt nudo @item m/s2 metros por segundo al cuadrado @item cm/s2 cent@'{@dotless{i}}metros por segundo al cuadrado @item mm/s2 mil@'{@dotless{i}}metros por segundo al cuadrado @item in/s2 pulgadas por segundo al cuadrado @item lb/in libras por pulgada @end table @sp 2 En este m@'odulo, las fuerzas (elementos Fuerza, Fricci@'on o Contacto) se aplican a los objetos (elementos Bloque, Polea o Resorte), coloc@'andolas en las celdas adyacentes a estos. Cada uno de estos objetos, si no se encuentra en los bordes de la Pizarra, tiene 8 celdas adyacentes. Este m@'odulo esta constituido por 44 elementos, los cuales se presentan a continuaci@'on con una descripci@'on de cada uno de ellos, de los datos que requieren, las fuerzas u objetos que admiten y el n@'umero de ecuaciones que establece cada uno. Obs@'ervese que algunos elementos establecen un n@'umero variable de ecuaciones, dependiendo de las fuerzas aplicadas a el o de los objetos que interact@'uan con el. @page @menu * Sistema de referencia fijo: Sistema de referencia (d). * M@'ovil: Movil (d). * M@'ovil en X/Y: Movil X/Y (d). * Bloque con movimiento vertical: Bloque vertical (d). * Bloque con movimiento horizontal: Bloque horizontal (d). * Bloque en un plano inclinado a la izquierda: Bloque inclinado a la izquierda (d). * Bloque en un plano inclinado a la derecha: Bloque inclinado a la derecha (d). * Polea: Polea (d). * Resortes: Resortes (d). * Fuerzas: Fuerzas (d). * Fricciones: Fricciones (d). * Fricciones entre bloques (contactos): Fricciones bloques (d). * Relaci@'on de aceleraciones: Relacion de aceleraciones (d). * Movimiento relativo: Movimiento relativo (d). * Colisi@'on: Colision (d). * Energ@'{@dotless{i}}a: Energia (d). * Momento: Momento (d). * Potencia: Potencia (d). @end menu @node Sistema de referencia (d), Movil (d), Dinamica, Dinamica @section Sistema de referencia fijo @cindex Sistema de referencia fijo (d) @image{s_fijo} Establece el sistema de coordenadas estacionario, con el eje X horizontal y positivo hacia la derecha, y el eje Y vertical y positivo hacia arriba. Aqu@'{@dotless{i}} se establece tambi@'en el valor de la gravedad (valor absoluto) y el tiempo final. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item g: @tab Gravedad a utilizar. Por defecto se coloca el valor de la gravedad en el sistema seleccionado (9.81 m/s2 para SI, y 32.2 ft/s2 para el sistema Ingl@'es). @item t: @tab Tiempo final del problema. @end multitable @page @node Movil (d), Movil X/Y (d), Sistema de referencia (d), Dinamica @section M@'ovil @cindex M@'ovil (d) @image{particula} M@'ovil con movimiento general para problemas de colisi@'on. Los @'angulos son medidos desde el eje X positivo, siendo la direcci@'on positiva la contraria al movimiento de las manecillas del reloj. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre del m@'ovil. @item m: @tab Masa del m@'ovil. @item vi: @tab Velocidad inicial, en la direcci@'on indicada por el @'angulo inicial. @item angi: @tab @'Angulo que determina la direcci@'on de la velocidad inicial. @item vf: @tab Velocidad final del m@'ovil, en la direcci@'on indicada por el @'angulo final. @item angf: @tab @'Angulo que determina la direcci@'on de la velocidad final. @end multitable @page @node Movil X/Y (d), Bloque vertical (d), Movil (d), Dinamica @section M@'ovil en X/Y @cindex M@'ovil en X/Y (d) @image{movil_x} @image{movil_y} M@'oviles con movimiento a lo largo del eje X y Y, respectivamente. Utilizados en problemas de colisi@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre del m@'ovil. @item m: @tab Masa del m@'ovil. @item vi: @tab Velocidad inicial del m@'ovil. @item vf: @tab Velocidad final del m@'ovil. @end multitable @page @node Bloque vertical (d), Bloque horizontal (d), Movil X/Y (d), Dinamica @section Bloque con movimiento vertical @cindex Bloque con movimiento vertical (d) @image{bloque_v} Bloque con movimiento vertical. Admite @'unicamente una fuerza de fricci@'on, vertical u horizontal. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 3 @'o 4 (si las fuerzas aplicadas son todas verticales se establecen 3 ecuaciones, de lo contrario 4). @headitem Datos: @tab @item Nombre: @tab Nombre del bloque. @item m: @tab Masa del bloque. @item a: @tab Aceleraci@'on del bloque. @item vi: @tab Velocidad inicial. @item vf: @tab Velocidad final. @item d: @tab Distancia recorrida. @item Relativo a: @tab Por defecto, su valor es @emph{sf}, indicando que su movimiento es referido al sistema de referencia fijo. Sin embargo, dicho movimiento puede ser relativo a un bloque con movimiento horizontal. @end multitable @page @node Bloque horizontal (d), Bloque inclinado a la izquierda (d), Bloque vertical (d), Dinamica @section Bloque con movimiento horizontal @cindex Bloque con movimiento horizontal (d) @image{bloque_h} Bloque con movimiento horizontal. Admite @'unicamente una fuerza de fricci@'on horizontal. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Nombre: @tab Nombre del bloque. @item m: @tab Masa del bloque. @item a: @tab Aceleraci@'on del bloque. @item vi: @tab Velocidad inicial. @item vf: @tab Velocidad final. @item d: @tab Distancia recorrida. @item Relativo a: @tab Por defecto, su valor es @emph{sf}, indicando que su movimiento es referido al sistema de referencia fijo. Sin embargo, dicho movimiento puede ser relativo a otro bloque. @end multitable @page @node Bloque inclinado a la izquierda (d), Bloque inclinado a la derecha (d), Bloque horizontal (d), Dinamica @section Bloque en un plano inclinado a la izquierda @cindex Bloque en un plano inclinado a la izquierda (d) @image{bloque_i} Todos sus datos son referidos a un sistema de coordenadas con el eje X paralelo al plano y positivo hacia arriba, y el eje Y perpendicular al plano y positivo hacia arriba. Admite @'unicamente una fuerza de fricci@'on, paralela al plano inclinado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Nombre: @tab Nombre del bloque. @item m: @tab Masa del bloque. @item ang: @tab @'Angulo positivo que indica la inclinaci@'on del plano, medido desde la horizontal. @item a: @tab Aceleraci@'on del bloque. @item vi: @tab Velocidad inicial. @item vf: @tab Velocidad final. @item d: @tab Distancia recorrida. @item Relativo a: @tab Por defecto, su valor es @emph{sf}, indicando que su movimiento es referido al sistema de referencia fijo. Sin embargo, dicho movimiento puede ser relativo a otro bloque. @end multitable @page @node Bloque inclinado a la derecha (d), Polea (d), Bloque inclinado a la izquierda (d), Dinamica @section Bloque en un plano inclinado a la derecha @cindex Bloque en un plano inclinado a la derecha (d) @image{bloque_d} Todos sus datos son referidos a un sistema de coordenadas con el eje X paralelo al plano y positivo hacia arriba, y el eje Y perpendicular al plano y positivo hacia arriba. Admite @'unicamente una fuerza de fricci@'on, paralela al plano inclinado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Nombre: @tab Nombre del bloque. @item m: @tab Masa del bloque. @item ang: @tab @'Angulo positivo que indica la inclinaci@'on del plano, medido desde la horizontal. @item a: @tab Aceleraci@'on del bloque. @item vi: @tab Velocidad inicial. @item vf: @tab Velocidad final. @item d: @tab Distancia recorrida. @item Relativo a: @tab Por defecto, su valor es @emph{sf}, indicando que su movimiento es referido al sistema de referencia fijo. Sin embargo, dicho movimiento puede ser relativo a otro bloque. @end multitable @page @node Polea (d), Resortes (d), Bloque inclinado a la derecha (d), Dinamica @section Polea @cindex Polea (d) @image{polea} Una polea sin masa ni fricci@'on. No admite fuerzas de fricci@'on o de contacto. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @'o 2 (si las fuerzas aplicadas son todas horizontales, o verticales, se establece 1 ecuaci@'on, de lo contrario 2). @headitem Datos: @tab @item Nombre: @tab Nombre de la polea (este dato no se utiliza en absoluto). @end multitable @node Resortes (d), Fuerzas (d), Polea (d), Dinamica @section Resortes @cindex Resortes (d) @image{resortes} Resortes sin masa que obedecen la ley de Hooke. @emph{xi} es la distancia que inicialmente el resorte esta estirado o comprimido. @emph{xf} es la distancia que el resorte esta estirado o comprimido al final. Si el resorte esta estirado, la distancia es positiva, si esta comprimido, la distancia es negativa. Admite una o dos fuerzas en la direcci@'on del resorte. En el caso de dos fuerzas, estas deben tener sentidos contrarios (comprimiendo el resorte o estir@'andolo) y la misma magnitud o inc@'ognita. Y no admite fuerzas de fricci@'on o de contacto. La fuerza aplicada, o fuerzas aplicadas, debe tener el sentido en que el resorte se mover@'a (estir@'andose o comprimi@'endose). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item k: @tab Constante del resorte. @item xi: @tab Posici@'on inicial del resorte. @item xf: @tab Posici@'on final del resorte. @end multitable @page @node Fuerzas (d), Fricciones (d), Resortes (d), Dinamica @section Fuerzas @cindex Fuerzas (d) @image{fuerzas} Fuerzas con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f @tab Magnitud de la fuerza. @item ang @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @end multitable @node Fricciones (d), Fricciones bloques (d), Fuerzas (d), Dinamica @section Fricciones @cindex Fricciones (d) @image{fricciones} Fuerzas de fricci@'on con la direcci@'on y sentido indicado por las flechas. Las fuerzas de fricci@'on oblicuas, para ser utilizadas con bloques en planos inclinados, se asumen paralelas a dichos planos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Dato: @tab @item Normal: @tab Fuerza normal a partir de la cual se calcula la fricci@'on. @item u: @tab Coeficiente de fricci@'on est@'atica o din@'amica. @end multitable @page @node Fricciones bloques (d), Relacion de aceleraciones (d), Fricciones (d), Dinamica @section Fricciones entre bloques (contactos) @cindex Fricciones entre bloques (d) @image{contactos} Fricciones entre bloques con el sentido y direcci@'on indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Normal: @tab Normal a partir de la cual se calcula la fricci@'on. @item u: @tab Coeficiente de fricci@'on est@'atico o din@'amico. @item ang: @tab @'Angulo positivo que determina la direcci@'on en que act@'ua la fricci@'on, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @end multitable @node Relacion de aceleraciones (d), Movimiento relativo (d), Fricciones bloques (d), Dinamica @section Relaci@'on de aceleraciones @cindex Relaci@'on de aceleraciones (d) @image{relacion} Permite relacionar las magnitudes de las aceleraciones de dos bloques. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item a1: @tab Aceleraci@'on del primer bloque. @item a2: @tab Aceleraci@'on del segundo bloque. @item z: @tab Factor de relaci@'on, por defecto es -1. @end multitable @page @node Movimiento relativo (d), Colision (d), Relacion de aceleraciones (d), Dinamica @section Movimiento relativo @cindex Movimiento relativo (d) @image{mov_rel} Permite obtener los datos de aceleraci@'on, velocidad final y distancia recorrida de un bloque, en relaci@'on al sistema de referencia fijo, para el caso cuando sus datos est@'an en relaci@'on a otro bloque en movimiento, que act@'ua como sistema de referencia m@'ovil. Los @'angulos son medidos desde el eje X positivo, siendo la direcci@'on positiva la contraria al movimiento de las manecillas del reloj. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 6 @headitem Datos: @tab @item Objeto: @tab Nombre del bloque cuyos datos son relativos. @item asf: @tab Aceleraci@'on absoluta del bloque. @item ang_asf: @tab @'Angulo de la aceleraci@'on absoluta. @item vf_sf: @tab Velocidad final absoluta del bloque. @item ang_vfsf: @tab @'Angulo de la velocidad final absoluta. @item dsf: @tab Distancia absoluta recorrida. @item ang_dsf: @tab @'Angulo de la distancia absoluta recorrida. @end multitable @page @node Colision (d), Energia (d), Movimiento relativo (d), Dinamica @section Colisi@'on @cindex Colisi@'on (d) @image{colision} Colisi@'on entre m@'oviles. Admite colisiones entre dos elementos M@'ovil en X, o dos elementos M@'ovil en Y. O entre dos elementos M@'ovil. Cualquier otra combinaci@'on no es permitida. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @'o 4 (si los dos objetos que colisionan se mueven en el eje X, o Y, se establecen 2 ecuaciones, de lo contrario 4). @headitem Datos: @tab @item Objeto 1: @tab Nombre del primer m@'ovil. @item Objeto 2: @tab Nombre del segundo m@'ovil. @item e: @tab Coeficiente de restituci@'on. @item angn: @tab @'Angulo de la normal de contacto, medido desde el eje X positivo. La direcci@'on positiva se toma en el sentido contrario a la del movimiento de las agujas del reloj. @end multitable @page @node Energia (d), Momento (d), Colision (d), Dinamica @section Energ@'{@dotless{i}}a @cindex Energ@'{@dotless{i}}a (d) @image{energia} Establece el principio del trabajo y la energ@'{@dotless{i}}a para 1, 2, 3 @'o 4 bloques o m@'oviles. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto 1: @tab Nombre del primer bloque o m@'ovil. @item Objeto 2: @tab Nombre del segundo bloque o m@'ovil. @item Objeto 3: @tab Nombre del tercer bloque o m@'ovil. @item Objeto 4: @tab Nombre del cuarto bloque o m@'ovil. @item W: @tab Trabajo externo aplicado al sistema conformado por los cuatro objetos. @end multitable @page @node Momento (d), Potencia (d), Energia (d), Dinamica @section Momento @cindex Momento (d) @image{momento} Establece el principio de la cantidad de movimiento y del impulso para un bloque o m@'ovil. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto: @tab Nombre del bloque o m@'ovil. @item Imp: @tab Magnitud del vector impulso. @item ang: @tab @'Angulo del vector impulso, medido desde el eje X positivo. La direcci@'on positiva se toma en el sentido contrario a la del movimiento de las agujas del reloj. @item fImp: @tab Magnitud de la fuerza impulsiva. @end multitable @node Potencia (d), , Momento (d), Dinamica @section Potencia @cindex Potencia (d) @image{potencia} Determina la potencia con la que un bloque realiza trabajo. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del bloque. @item P: @tab Potencia. @end multitable trunk/Documentation/Manual/Spanish/statics.texinfo0000777000076400007640000002140612734077040022256 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Estatica, Ejemplos estatica, Ejemplos cinematica circular, Top @chapter M@'odulo de est@'atica de part@'{@dotless{i}}culas @cindex M@'odulo de est@'atica de part@'{@dotless{i}}culas Los factores de conversi@'on disponibles en este m@'odulo para el sistema SI son: @sp 2 @table @strong @item cm cent@'{@dotless{i}}metro @item g gramo @item slug slug @item T tonelada m@'etrica @end table @sp 2 Y los disponibles para el sistema Ingl@'es son: @sp 2 @table @strong @item kg kilogramo @item g gramo @item in pulgada @item lb/in libras por pulgada @end table @sp 2 En este m@'odulo, las fuerzas (elementos Fuerza, Fricci@'on o Resultante) se aplican a los objetos (elementos Bloque, Polea, Resorte o Punto), coloc@'andolas en las celdas adyacentes a estos. Cada uno de estos objetos, si no se encuentra en los bordes de la Pizarra, tiene 8 celdas adyacentes. Este m@'odulo esta constituido ṕor 30 elementos, los cuales se presentan a continuaci@'on con una descripci@'on de cada uno de ellos, de los datos que requieren, las fuerzas que admiten y el n@'umero de ecuaciones que establece cada uno. Obs@'ervese que algunos elementos establecen una o dos ecuaciones, dependiendo de las fuerzas aplicadas a el. Si todas las fuerzas aplicadas son horizontales, o verticales, se establece una ecuaci@'on, de lo contrario se establecen dos. @page @menu * Sistema de referencia fijo: Sistema de referencia (e). * Bloque: Bloque (e). * Bloque en un plano inclinado a la izquierda: Bloque izquierda (e). * Bloque en un plano inclinado a la derecha: Bloque derecha (e). * Resortes: Resortes (e). * Polea: Polea (e). * Punto: Punto (e). * @'Angulos: Angulos (e). * Fuerzas: Fuerzas (e). * Fricciones: Fricciones (e). * Resultante vertical/horizontal: Resultante v/h (e). * Resultante: Resultante (e). @end menu @node Sistema de referencia (e), Bloque (e), Estatica, Estatica @section Sistema de referencia fijo @cindex Sistema de referencia fijo (e) @image{s_fijo} Establece el sistema de referencia estacionario, con el eje X horizontal y positivo hacia la derecha, y el eje Y vertical y positivo hacia arriba. As@'{@dotless{i}} como el valor de la gravedad (valor absoluto). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item g: @tab Gravedad a utilizar. Por defecto se coloca el valor de la gravedad en el sistema seleccionado (9.81 m/s2 para SI, y 32.2 ft/s2 para el sistema Ingl@'es). @end multitable @node Bloque (e), Bloque izquierda (e), Sistema de referencia (e), Estatica @section Bloque @cindex Bloque (e) @image{bloque} Un bloque con la masa indicada. Admite @'unicamente una fuerza de fricci@'on, vertical u horizontal. Y no admite resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @'o 2 @headitem Datos: @tab @item m: @tab Masa del bloque. @end multitable @page @node Bloque izquierda (e), Bloque derecha (e), Bloque (e), Estatica @section Bloque en un plano inclinado a la izquierda @cindex Bloque en un plano inclinado a la izquierda (e) @image{bloque_i} Un bloque con la masa indicada, colocado en un plano inclinado hacia la izquierda en el @'angulo indicado. Admite @'unicamente una fuerza de fricci@'on, paralela al plano inclinado. Y no admite resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item m: @tab Masa del bloque. @item ang: @tab @'Angulo positivo que indica la inclinaci@'on del plano, medido desde la horizontal. @end multitable @node Bloque derecha (e), Resortes (e), Bloque izquierda (e), Estatica @section Bloque en un plano inclinado a la derecha @cindex Bloque en un plano inclinado a la derecha (e) @image{bloque_d} Un bloque con la masa indicada, colocado en un plano inclinado hacia la derecha en el @'angulo indicado. Admite @'unicamente una fuerza de fricci@'on, paralela al plano inclinado. Y no admite resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item m: @tab Masa del bloque. @item ang: @tab @'Angulo positivo que indica la inclinaci@'on del plano, medido desde la horizontal. @end multitable @page @node Resortes (e), Polea (e), Bloque derecha (e), Estatica @section Resortes @cindex Resortes (e) @image{resortes} Resortes sin masa que obedecen la ley de Hooke. @emph{d} es la longitud que el resorte esta estirado o comprimido. Es positiva si el resorte esta estirado y negativa si esta comprimido. Admite una o dos fuerzas en la direcci@'on del resorte. En el caso de dos fuerzas, estas deben tener sentidos contrarios (comprimiendo el resorte o estir@'andolo) y la misma magnitud o inc@'ognita. Y no admite fuerzas de fricci@'on, ni resultantes. Si el resorte esta comprimido, el sentido de la fuerza aplicada, o fuerzas aplicadas, debe ser hacia el resorte. Si el resorte esta estirado, el sentido debe ser alej@'andose del resorte. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item k: @tab Constante del resorte. @item d: @tab Longitud que el resorte esta estirado o comprimido. @end multitable @node Polea (e), Punto (e), Resortes (e), Estatica @section Polea @cindex Polea (e) @image{polea} Una polea sin masa. No admite fuerzas de fricci@'on, ni resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @'o 2 @headitem Datos: @tab @item Nombre: @tab Nombre de la polea (este dato no se utiliza en absoluto). @end multitable @page @node Punto (e), Angulos (e), Polea (e), Estatica @section Punto est@'atico @cindex Punto est@'atico (e) @image{p_estatica} Un punto est@'atico sin masa. No admite fuerzas de fricci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @'o 2 @headitem Datos: @tab @item Nombre: @tab Nombre del punto (este dato no se utiliza en absoluto). @end multitable @node Angulos (e), Fuerzas (e), Punto (e), Estatica @section @'Angulos @cindex @'Angulos (e) @image{angcomp} Relaciona dos @'angulos que deben ser complementarios. Ambos @'angulos deben ser datos desconocidos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item ang1: @tab Nombre que representa un @'angulo. @item ang2: @tab Nombre que representa otro @'angulo. @end multitable @page @node Fuerzas (e), Fricciones (e), Angulos (e), Estatica @section Fuerzas @cindex Fuerzas (e) @image{fuerzas} Fuerzas con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f @tab Magnitud de la fuerza. @item ang @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @end multitable @node Fricciones (e), Resultante v/h (e), Fuerzas (e), Estatica @section Fricciones @cindex Fricciones (e) @image{fricciones} Fuerzas de fricci@'on con la direcci@'on y sentido indicado por las flechas. Las fuerzas de fricci@'on oblicuas, para ser utilizadas con bloques en planos inclinados, se asumen paralelas a dichos planos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Normal: @tab Fuerza normal a partir de la cual se calcula la fricci@'on. @item u: @tab Coeficiente de fricci@'on est@'atica o din@'amica. @end multitable @page @node Resultante v/h (e), Resultante (e), Fricciones (e), Estatica @section Resultante vertical/horizontal @cindex Resultante vertical/horizontal (e) @image{resultante_v} @image{resultante_h} Resultantes en la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f: @tab Magnitud de la resultante. @end multitable @node Resultante (e), , Resultante v/h (e), Estatica @section Resultante @cindex Resultante (e) @image{resultante} Resultante oblicua a los ejes del sistema de referencia. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f: @tab Magnitud de la resultante. @item ang: @tab @'Angulo que determina la direcci@'on de la resultante, medido desde el eje X positivo. La direcci@'on positiva se toma en el sentido contrario al movimiento de las manecillas del reloj. @end multitable trunk/Documentation/Manual/Spanish/fisicalab.texinfo0000777000076400007640000004313214506614352022523 0ustar germangerman\input texinfo @c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @c %**start of header @setfilename fisicalab.info @documentlanguage es @documentencoding UTF-8 @settitle GNU F@'{@dotless{i}}sicaLab @smallbook @c %**end of header @copying Copyright @copyright{} 2009, 2010, 2012, 2013, 2014, 2023 Germ@'an A. Arias. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License". @end copying @titlepage @title GNU F@'{@dotless{i}}sicaLab @subtitle El software libre para la f@'{@dotless{i}}sica. @subtitle Manual del usuario para la versi@'on 0.4.0, primera edici@'on. @sp 4 @image{fisicalab_logo, 6cm} @author Germ@'an A. Arias @c The following two commands start the copyright page. @page @vskip 0pt plus 1filll @insertcopying @end titlepage @c Output the table of contents at the beginning. @contents @ifnottex @node Top, Bienvenida, (dir), (dir) @top Contenido F@'{@dotless{i}}sicaLab es una aplicaci@'on educativa para la resoluci@'on de problemas f@'{@dotless{i}}sicos. Su objetivo es que el usuario se enfoque en los conceptos f@'{@dotless{i}}sicos dejando de lado la matem@'atica implicada, de la cual se ocupa F@'{@dotless{i}}sicaLab. F@'{@dotless{i}}sicaLab es f@'acil de usar y muy intuitivo. Sin embargo, para que pueda aprovechar toda la potencia de F@'{@dotless{i}}sicaLab, le recomendamos leer primero esta ayuda para que se familiarice con las convenciones adoptadas. Al mismo tiempo que aprende como plantear problemas a trav@'es de los ejemplos aqu@'{@dotless{i}} mostrados. @end ifnottex @menu * Bienvenida:: * Cinematica:: * Ejemplos cinematica:: * Cinematica circular:: * Ejemplos cinematica circular:: * Estatica:: * Ejemplos estatica:: * Estatica rigida:: * Ejemplos estatica rigida:: * Dinamica:: * Ejemplos dinamica:: * Dinamica circular:: * Ejemplos dinamica circular:: * Calorimetria:: * Ejemplos calorimetria:: * GFDL:: * Indice:: @detailmenu --- The Detailed Node Listing --- Introducci@'on * Manejando los elementos:: * Datos de los elementos:: * Funcionamiento de F@'{@dotless{i}}isicaLab: Funcionamiento de FisicaLab. * Mensajes en el visor de texto:: M@'odulo de cinem@'atica de part@'{@dotless{i}}culas * Sistema de referencia fijo: Sistema de referencia (c). * Sistema de referencia m@'ovil: Sistema movil (c). * Sistema de referencia m@'ovil en X/Y: Sistema movil X/Y (c). * M@'ovil: Movil (c). * M@'ovil en X/Y: Movil X/Y (c). * M@'ovil en X/Y con velocidad constante: Movil constante X/Y (c). * Ca@~non: Canon (c). * M@'ovil radial: Movil radial (c). * Distancia: Distancia (c). * Distancia XY: Distancia XY (c). * Punto: Punto (c). * Velocidad relativa: Velocidad relativa (c). Ejemplos de cinem@'atica de part@'{@dotless{i}}culas * Ejemplo 1 (c):: * Ejemplo 2 (c):: * Ejemplo 3 (c):: * Ejemplo 4 (c):: * Ejemplo 5 (c):: * Ejemplo 6 (c):: * Ejemplo 7 (c):: M@'odulo de cinem@'atica circular * Sistema de referencia fijo: Sistema de referencia (cc). * M@'ovil circular: Movil circular (cc). * M@'ovil polar: Movil polar (cc). * Velocidad angular: Velocidad angular (cc). * Aceleraci@'on angular: Aceleracion angular (cc). * Aceleraci@'on total: Aceleracion total (cc). * Frecuencia: Frecuencia (cc). * Periodo: Periodo (cc). * N@'umero de vueltas: Vueltas (cc). * Centro de rotaci@'on: Centro de rotacion (cc). * Distancia: Distancia (cc). * Longitud de arco: Longitud de arco (cc). * Coordenada: Coordenada (cc). * Velocidad relativa: Velocidad relativa (cc). Ejemplos de cinem@'atica circular de part@'{@dotless{i}}culas * Ejemplo 1 (cc):: * Ejemplo 2 (cc):: * Ejemplo 3 (cc):: * Ejemplo 4 (cc):: * Ejemplo 5 (cc):: M@'odulo de est@'atica de part@'{@dotless{i}}culas * Sistema de referencia fijo: Sistema de referencia (e). * Bloque: Bloque (e). * Bloque en un plano inclinado a la izquierda: Bloque izquierda (e). * Bloque en un plano inclinado a la derecha: Bloque derecha (e). * Resortes: Resortes (e). * Polea: Polea (e). * Punto: Punto (e). * @'Angulos: Angulos (e). * Fuerzas: Fuerzas (e). * Fricciones: Fricciones (e). * Resultante vertical/horizontal: Resultante v/h (e). * Resultante: Resultante (e). Ejemplos de est@'atica de part@'{@dotless{i}}culas * Ejemplo 1 (e):: * Ejemplo 2 (e):: * Ejemplo 3 (e):: * Ejemplo 4 (e):: * Ejemplo 5 (e):: * Ejemplo 6 (e):: * Ejemplo 7 (e):: * Ejemplo 8 (e):: * Ejemplo 9 (e):: M@'odulo de est@'atica r@'{@dotless{i}}gida * Sistema de referencia fijo: Sistema de referencia (er). * Puntos: Puntos (er). * Viga: Viga (er). * S@'olido: Solido (er). * Punto: Punto (er). * @'Angulos: Angulos (er). * Elementos de viga: Elementos de viga (er). * Elementos de s@'olido: Elementos de solido (er). * Fuerzas: Fuerzas (er). * Fricciones: Fricciones (er). * Par: Par (er). * Vigas de 2 fuerzas: Vigas de 2 fuerzas (er). * Armadura: Armadura (er). * Nudo de armadura: Nudo de armadura (er). * Vigas de armadura: Vigas de armadura (er). * Resultante: Resultante (er). * Resultante con fuerza horizontal: Resultante con fuerza horizontal (er). * Resultante con fuerza vertical: Resultante con fuerza vertical (er). Ejemplos de est@'atica r@'{@dotless{i}}gida * Ejemplo 1 (er):: * Ejemplo 2 (er):: * Ejemplo 3 (er):: * Ejemplo 4 (er):: * Ejemplo 5 (er):: * Ejemplo 6 (er):: * Ejemplo 7 (er):: * Ejemplo 8 (er):: * Ejemplo 9 (er):: * Ejemplo 10 (er):: * Ejemplo 11 (er):: * Ejemplo 12 (er):: * Ejemplo 13 (er):: M@'odulo de din@'amica de part@'{@dotless{i}}culas * Sistema de referencia fijo: Sistema de referencia (d). * M@'ovil: Movil (d). * M@'ovil en X/Y: Movil X/Y (d). * Bloque con movimiento vertical: Bloque vertical (d). * Bloque con movimiento horizontal: Bloque horizontal (d). * Bloque en un plano inclinado a la izquierda: Bloque inclinado a la izquierda (d). * Bloque en un plano inclinado a la derecha: Bloque inclinado a la derecha (d). * Polea: Polea (d). * Resortes: Resortes (d). * Fuerzas: Fuerzas (d). * Fricciones: Fricciones (d). * Fricciones entre bloques (contactos): Fricciones bloques (d). * Relaci@'on de aceleraciones: Relacion de aceleraciones (d). * Movimiento relativo: Movimiento relativo (d). * Colisi@'on: Colision (d). * Energ@'{@dotless{i}}a: Energia (d). * Momento: Momento (d). * Potencia: Potencia (d). Ejemplos de din@'amica de part@'{@dotless{i}}culas * Ejemplo 1 (d):: * Ejemplo 2 (d):: * Ejemplo 3 (d):: * Ejemplo 4 (d):: * Ejemplo 5 (d):: * Ejemplo 6 (d):: * Ejemplo 7 (d):: * Ejemplo 8 (d):: * Ejemplo 9 (d):: * Ejemplo 10 (d):: * Ejemplo 11 (d):: * Ejemplo 12 (d):: M@'odulo de din@'amica circular de part@'{@dotless{i}}culas * Sistema de referencia fijo: Sistema de referencia (dc). * Masa en reposo: Masa en reposo (dc). * M@'ovil con movimiento rectil@'{@dotless{i}}neo: Movil rectilineo (dc). * M@'ovil con movimiento circular: Movil circular (dc). * M@'ovil con movimiento circular polar: Movil polar (dc). * M@'ovil con movimiento circular perpendicular: Movil perpendicular (dc). * Velocidad angular: Velocidad angular (dc). * Aceleraci@'on centr@'{@dotless{i}}peta: Aceleracion centripeta (dc). * Aceleraci@'on angular: Aceleracion angular (dc). * Energ@'{@dotless{i}}a: Energia (dc). * Momento angular: Momento angular (dc). * Momento lineal: Momento lineal (dc). * Potencia: Potencia (dc). * Sistema inicial: Sistema inicial (dc). * Sistema final: Sistema final (dc). * Centro de rotaci@'on: Centro de rotacion (dc). * Resortes: Resortes (dc). * Fuerzas: Fuerzas (dc). * Fricciones: Fricciones (dc). * @'Angulos: Angulos (dc). * Momento de una fuerza o par de fuerzas: Momento (dc). * Aceleraci@'on total (Triangulo de aceleraciones): Aceleracion total (dc). * Aceleraci@'on m@'axima: Aceleracion maxima (dc). * Inercia: Inercia (dc). * Velocidad absoluta: Velocidad absoluta (dc). * Seno del @'angulo: Seno del angulo (dc). * Combinaciones admitidas: Combinaciones (dc). Ejemplos de din@'amica circular de part@'{@dotless{i}}culas * Ejemplo 1 (dc):: * Ejemplo 2 (dc):: * Ejemplo 3 (dc):: * Ejemplo 4 (dc):: * Ejemplo 5 (dc):: * Ejemplo 6 (dc):: * Ejemplo 7 (dc):: * Ejemplo 8 (dc):: * Ejemplo 9 (dc):: * Ejemplo 10 (dc):: * Ejemplo 11 (dc):: * Ejemplo 12 (dc):: * Ejemplo 13 (dc):: Calorimetr@'{@dotless{i}}a * Reloj del laboratorio: Reloj del laboratorio (cal). * Calor aplicado: Calor aplicado (cal). * Flujo de calor aplicado: Flujo de calor (cal). * Calor extra@'{@dotless{i}}do: Calor extraido (cal). * Refrigeraci@'on: Refrigeracion (cal). * Bloque: Bloque (cal). * Liquido: Liquido (cal). * Gas: Gas (cal). * Dilataci@'on lineal: Dilatacion lineal (cal). * Dilataci@'on superficial: Dilatacion superficial (cal). * Dilataci@'on volum@'etrica: Dilatacion volumetrica (cal). * Cambio de fase s@'olido-liquido: Cambio de fase solido-liquido (cal). * Cambio de fase liquido-gas: Cambio de fase liquido-gas (cal). * Proceso: Proceso (cal). * Calor@'{@dotless{i}}metro: Calorimetro (cal). * Gas a presi@'on constante: Gas a presion constante (cal). * Gas a temperatura constante: Gas a temperatura constante (cal). * Gas a volumen constante: Gas a volumen constante (cal). * Gas PV/T: Gas PV/T (cal). * Intercambiador de calor: Intercambiador de calor (cal). Ejemplos de calorimetr@'{@dotless{i}}a * Ejemplo 1 (cal):: * Ejemplo 2 (cal):: * Ejemplo 3 (cal):: * Ejemplo 4 (cal):: * Ejemplo 5 (cal):: * Ejemplo 6 (cal):: * Ejemplo 7 (cal):: * Ejemplo 8 (cal):: * Ejemplo 9 (cal):: * Ejemplo 10 (cal):: * Ejemplo 11 (cal):: * Ejemplo 12 (cal):: * Ejemplo 13 (cal):: Termodin@'amica * Calor aplicado: Calor aplicado (therm). * Trabajo: Trabajo (therm). * Calor extra@'{@dotless{i}}do: Calor extraido (therm). * Proceso adiab@'atico: Proceso adiabatico (therm). * Proceso isoc@'orico: Proceso isicorico (therm). * Proceso isot@'ermico: Proceso isotermico (therm). * Proceso isob@'arico: Proceso isobarico (therm). * Calor sensible: Calor sensible (therm). * Calor de vaporizaci@'on: Calor de vaporizacion (therm). * M@'aquina t@'ermica: Maquina termica (therm). * Refrigerador: Refrigerador (therm). * Bomba de calor: Bomba de calor (therm). * Gas PV/T: Gas PV/T (therm). Ejemplos termodin@'amica * Ejemplo 1 (thermo):: * Ejemplo 2 (thermo):: * Ejemplo 3 (thermo):: * Ejemplo 4 (thermo):: * Ejemplo 5 (thermo):: @end detailmenu @end menu @include introduction.texinfo @include kinematics.texinfo @include kinematics-examples.texinfo @include kinematics-circular.texinfo @include kinematics-circular-examples.texinfo @include statics.texinfo @include statics-examples.texinfo @include statics-rigid.texinfo @include statics-rigid-examples.texinfo @include dynamics.texinfo @include dynamics-examples.texinfo @include dynamics-circular.texinfo @include dynamics-circular-examples.texinfo @include calorimetry.texinfo @include calorimetry-examples.texinfo @include thermodynamics.texinfo @include thermodynamics-examples.texinfo @include copying.texinfo @include concept-index.texinfo @bye trunk/Documentation/Manual/Spanish/punto.png0000777000076400007640000000231312734077040021055 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڝA >E0@Lqh ҿx߾vBHHh#UX@^Bn9~>y;[9 q?'ǯ^9g`af50dPbfk0Xbk1֚@1V 7ܞ s{ZkngIZ֖T+P7-p7?pAa2zf9s#ֹg'n~9IWS6p`ZE9g@]1l[tSc]-ĀKjBWgE@cO XY K Ժ6u[jf Q XRӒ:j:'W4('q+n\s5~9ٵTr ث@wg.X$Iʣi=n/~J>_R74mgƇ]2tSӦ6|XizL*OP5hΖ5 qkb ZVk5W#wj[&1ʩhj+nm+Ҩីfʕ_'-w`EiOt!=p+nFp#>P', I1?.oksz#^;fW>MH7/!Y/=pfR^#F;E8 vpAg00WIDAThձ 1D1},]P)j((ȗ) Ƭ,9;ZV詸Gk݉V0|K:۹ H:2eLYQnʔ825vs"W?2/4̦HtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-15T19:50:53-06:00f%tEXtdate:modify2012-05-22T12:37:12-06:00ftEXttiff:alphaunassociated(BtEXttiff:document/home/german/Proyectos/GSfisica/cinematica/punto.tifx&tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/seno_angulo.jpg0000777000076400007640000001546512734077040022231 0ustar germangermanJFIFHHCreated with GIMPC  !"$"$C"C  !1A"6QWv#23Baqu$Rr%5CG4!1AqQa"234CbrBR ?DDD@DDD@DDQ&)O5ݕG@S3n;}:ʖ:1wdG h٪{l[;e=kk٣l\#tM};<mdFKݩ_l^Om ,|erhso 8aO|2,3G4{;t;q dP߳:e.1k4'\A׽qU.9}!}4twn݉/QgTimy>g^1y3Ҹ0o=QYo6(\+ t5n7zt""" """ """ """ .*zJwOF7|5O@ي="}Y+bҼq#R=Id_7>bh$a݂W~sU]E7ˑ I rwz3Oow)ꫤqmRs$ryvBi))MKPAִّ{Ax?Ҷgq%zȈ3Y=jEf5,_vVhdtr5ckTEKq;Ϯ`n2!h!}WmqU ͦS%l9աhwci$7IU9g8Ukb K 51w¦Rپ dʟdݵJtJav~q޿ Yty^OqZMBSNc^LeM,OvIÚt(9Qg~ms'^ KKpj [ddt2`\9]v]`Nch7 H%S`X 6kkUU15TI#\OyuPI[W/rni HGP  Fk'4?2XHf{#C%ԊqUӾA㕁pzVX=.S6QSaԛ})nZ 1k&S^lo&=Ѓܽ5e6}ͰGj]_lQwL b^e) c*Ug,831qu/7;=_3aLv٭1Z-n Fx wNFZ4ִlAhuhYr[eGPSg6;U|#5,_vVj3Y=jEfϫx.AsTC=9;A؁Ѝ݉Ū\c[/op˳[moۅ,W5#k|w{á;Ӹ8rv9CKd1U6TMU^s# )_}SRRQӲcô,\Hcw'n#$ϳ]d4%̌WU8G/$xqkXw;4wq/̵̧UkjihZ{0qZwv`#qv;͊mY8iYc;zI$$I%Rݽأ~[b1\s'T|#d'(Dv/UF#. wts_"+Qj#(r8~'zoksiP""Q f՘+hx|RAq;;7xySeVw]!T:Zki$n p{Ǐu6kSxeu *;O{.(M05M3 oNFi`l71Q3S~݌ڹVqG__OE-Oe,q!Ό˷=z߯TuhY6 \$h{9f>hXC#;ѣW:m4/BѹI@R9 i,/G(np(,QFk'4?2XHf{#C%ԊtkmSwGGCJsM!ԒH $ *V5JR<]הq!ߏWM3c̵ Pn爐ꈩ逎f0As<@G Ws4Y#\]Fm}EH\GZ;{ n1Xޫ8b)8stc37\8 GsfxזTuxkDE]Έ2^%q˱ʋtc.2q8.Xfhk@k@6)}-fU*imLE˗T4VQGt:F13lڬjO78 >2IOV'<<G%]%e;=I#cLnúlVjW~QIɂ{aOI?41ïS8|Ro%3\A30,:|4>M>|4>MYO 0ϡS~O 0ϡS~h=gL3Tߡ=gL3Tߡ(DY 7ODY 7AtXm PS0vWr@.t<=ָ0:Ki%G jC/xUtrZ1K5e+-V)tUHr8\w&SiK;[n].(sRvܝEJj܉ݣ8n#rݿtL>J4nۋUK}#Ȳ*gT6Sɸ{{?;;7woU0PQlq +f3&?*oо(Ӧnèc_E-Uz{K,#HZf̈́^rJ"~m-QEB'lfdwQl]-#Ǫ]8X<\û[,th> 9o[>|4>M>|4>M+i׉9g13:4tg|4>M>|4>MbU(DY 7ODY 7Af3>|4>M>|4>Mvٚ׏T)ݦknltl?|O 0ϡS~>&^]3?y7i?Ui/ {y'mysn[t߿e[K>aB ]Ύ8S 4xv?Щmi4'Z Jwqk$sZY: :\i|{8$^CէA""" """ """ Odh~d}ڑYdFKݩ" """ """ ""lj5-Oo_}[ӯS+Y9{3B;:,Gy==$UZI\Xj|M(cH t[Ӗ}ʥu/6;Ŧ_ f7ݮD:rLV\j|T:T_ŭ;3_,P'Q-y&jگ'fzc{$cd{kw" """ """ Odh~d}ڑYdFKݩ" """ """ ,MYNdI + Lqnw5!7e!e41LkI6cw;UX+{xPY;?̝=4D@DDKͺiW٩jt30kAiQUőIL]FwBfb59 Z\8#B:xAfgN2)*g}G;.428S{Ox> dD@DDD@DD̖/R+5b"@DDD@DDD@]{mzidi]Ŭh$UcS*^<4;u1I=wt ̢]X +H (GH[K_#c#ccckZ6""" "" =n eo'7h(l .V&-n{ff~hoY_iURo j|m:h;ʠ/5d4n1\-3 a{ÇB" """ Odh~d}ڑYdFKݩ" """ "⫨}MTAcw+Z$ ,dz5u m➦;HQݶ;C܃)]NվL}O񔎅VXm8͊ee%3x'Ŭ6fMe2X|\OROz{[2'd_(lwjV<.HZz3{(52SݔY90ߢӗ]==];骠x$>9Xq@eM,OvIÚt+fziQc}M㓸}Pfgrڨ9Vꗙe=zGu>U]$|X.g,i-g6v7uOdh~d}ڑY h{X4۳r^a\G@N덴Zr}'^A +e.#fW>]Ks3oڟ6=3[kmGr0,~HRʂ֚| 8*dBWRS V3 BV?lҨ2sPG5:IJ{n:[ynX ei柣~ퟞyaClw}G)e8P vpAg00WIDATh_ha?gK)׋V" (nFYH& Qr$Ņ#zɟPl% KOdSVvqޯ gsvsy?oOyyz_ :#WQbl|78}:c D"YI8nϞLn޼ajZ"9Qu+)9aӧD׵;F{ZnTU`ʳ*h[^y}h{6iִ4OF@׮]|0DSo7.Oo:fMg,04_ g͕3JS+sE 7,צ߶( 9%n` 8 ,0?]M{sg\غZ.LDDk}ZX5jwih%>'%F{rEN? $z0X ,5c[%r)@bDDDbj.w@pXo| dE,+beU%%NFlsakȌ΄w`8'#;hY41=@S=X!R ݒ& lz&P hB &P hB D~D!AsAOF/rhytEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:03:11-06:00B%tEXtdate:modify2012-05-22T12:37:07-06:00tEXttiff:alphaunassociated(>tEXttiff:document/home/german/Proyectos/GSfisica/calor/mezcla.tif~S"tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/p_radial.png0000777000076400007640000000411412734077040021464 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڝA >E0@Lqh ҿx߾vBHHh#UX@^Bn9~>y;[9 q?'ǯ^9g`af50dPbfk0Xbk1֚@1V 7ܞ s{ZkngIZ֖T+P7-p7?pAa2zf9s#ֹg'n~9IWS6p`ZE9g@]1l[tSc]-ĀKjBWgE@cO XY K Ժ6u[jf Q XRӒ:j:'W4('q+n\s5~9ٵTr ث@wg.X$Iʣi=n/~J>_R74mgƇ]2tSӦ6|XizL*OP5hΖ5 qkb ZVk5W#wj[&1ʩhj+nm+Ҩីfʕ_'-w`EiOt!=p+nFp#>P', I1?.oksz#^;fW>MH7/!Y/=pfR^#F;E8 vpAg00WIDATh[hUg֤ɞi_DoCE m@l+zyjEW!P*JD$EUJ륢4BԦlh߇9͎N7Yg 3so@]ue$'.((3 Cy+֩JݳqV̈Zy-2p1E>9zҜ~-zOW!?&>mfX}[ѣKw3Azl92:uB̊n2# ġ.\(ЇExJnӢm9 [#{î:5:*gRe4D^` ?%6@#NU^=z&٥-d4IF{*E>'T/."*;<2I'PCVSbKNsΊ Aj0 }`3mp5FD c'00c #:-͊shj/\Uha)cbeZ}9vJ$l,onW~JtlK ufXoN ?"hߐ4S`=A 8FӤ=;7 P(<4S--:w%T"Zηo$)iDI.@VE.K'>E{a/Z8ي ai8K.Z< _aZ֍._1AV״govZf#Uq%-̢ Nݞ:yfӺ#W [-kd ɧ5w7knj-{\⧍d[b6H 73JZ~ް:~a=gK@.4qҗiv*&\Fu*lnFY'Uc^+4аZ0n,POn .!0"hZ-"yE=twov#<0Znzai"[㆙$5+4- ˥uuʀa,uGx_1Oƫ9.DjERAř<.,VƑfF{6 9'^O MRCQ$O3\O3ͳ -JU8&3cSJ'nfEz~jwz5bOE-Qq!qNsN۬b3ShBo)sTMN5_b9H#WNdov}tEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:11:30-06:00k%tEXtdate:modify2012-05-23T21:30:28-06:00 tEXttiff:alphaunassociated(dtEXttiff:document/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/dinamicaCircular/acel_cent.tif0˔tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/statics-examples.texinfo0000777000076400007640000004376712734077040024110 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos estatica, Estatica rigida, Estatica, Top @chapter Ejemplos de est@'atica de part@'{@dotless{i}}culas @cindex Ejemplos de est@'atica de part@'{@dotless{i}}culas @menu * Ejemplo 1 (e):: * Ejemplo 2 (e):: * Ejemplo 3 (e):: * Ejemplo 4 (e):: * Ejemplo 5 (e):: * Ejemplo 6 (e):: * Ejemplo 7 (e):: * Ejemplo 8 (e):: * Ejemplo 9 (e):: @end menu @node Ejemplo 1 (e), Ejemplo 2 (e), Ejemplos estatica, Ejemplos estatica @section Ejemplo 1 @cindex Ejemplo 1 (e) Cual es la resultante de las siguientes tres fuerzas: @center @image{s-e1-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y dentro de este, el m@'odulo Puntual. Seleccionamos tambi@'en el sistema de unidades SI. Borramos todo lo que contenga la Pizarra y agregamos un elemento Punto, y le aplicamos las tres fuerzas indicadas: Un elemento Fuerza horizontal con sentido hacia la derecha, y dos Fuerzas oblicuas a los ejes. Y por @'ultimo un elemento Resultante, tal y como se muestra en la siguiente imagen: @center @image{s-e1-2, 5cm} El dato para el elemento Punto es el Nombre, el cual es irrelevante en cualquier caso: @sp 1 @table @strong @item Nombre Punto @end table @sp 1 Para la fuerza horizontal tenemos: @sp 1 @table @strong @item f 50 @end table @sp 1 La fuerza oblicua que apunta hacia arriba, corresponde a la fuerza de 75 Newtons a 50 grados. Tenemos, por tanto: @sp 1 @table @strong @item f 75 @item ang 50 @end table @sp 1 La fuerza oblicua que apunta hacia abajo, corresponde a la fuerza de 35 Newtons a 35 grados. Tenemos, entonces: @sp 1 @table @strong @item f 35 @item ang 35 @end table @sp 1 Y para el elemento Resultante, puesto que tanto la magnitud de la resultante como su direcci@'on son inc@'ognitas, tenemos: @sp 1 @table @strong @item f r @item ang ang @end table @sp 1 Dando un clic en el icono de Resolver obtenemos la respuesta: @example r = 132.271 N ; ang = 16.415 grados ; Estado = success. @end example @page @node Ejemplo 2 (e), Ejemplo 3 (e), Ejemplo 1 (e), Ejemplos estatica @section Ejemplo 2 @cindex Ejemplo 2 (e) Un bloque de 5 kg se encuentra sobre un plano inclinado a 30 grados, una cuerda evita que resbale por el mismo (ver figura). Si no hay fricci@'on entre el plano y el bloque. @questiondown{}Que valor tiene la normal? @questiondown{}Cual es la tensi@'on de la cuerda? @center @image{s-e2-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, y un elemento Bloque en un plano inclinado a la derecha. A este @'ultimo le agregamos dos elementos Fuerza, para formar el diagrama de cuerpo libre del bloque, tal y como se muestra en la siguiente imagen: @center @image{s-e2-2, 5cm} El elemento Sistema de referencia fijo coloca autom@'aticamente el valor de la gravedad: @sp 1 @table @strong @item g 9.81 @end table @sp 1 En el elemento Bloque en un pano inclinado a la derecha, debemos colocar la masa del bloque, y el @'angulo que esta inclinado el plano: @sp 1 @table @strong @item m 5 @item ang 30 @end table @sp 1 Para el elemento Fuerza oblicua que corresponde a la normal, colocamos como inc@'ognita la magnitud de la fuerza, y en ang colocamos el @'angulo de la normal. Para este caso, como el plano esta inclinado 30 grados, la normal esta a 60 grados de la horizontal: @sp 1 @table @strong @item f n @item ang 60 @end table @sp 1 Para la Fuerza oblicua que corresponde a la tensi@'on de la cuerda, colocamos como inc@'ognita la magnitud, y el @'angulo de inclinaci@'on es el mismo que el del plano (puesto que la cuerda es paralela al plano): @sp 1 @table @strong @item f t @item ang 30 @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la respuesta: @example t = 24.525 N ; n = 42.479 ; Estado = success. @end example @page @node Ejemplo 3 (e), Ejemplo 4 (e), Ejemplo 2 (e), Ejemplos estatica @section Ejemplo 3 @cindex Ejemplo 3 (e) Se apoya un bloque de 3 kilogramos contra una pared aplicando una fuerza horizontal F, como muestra la figura. Si el coeficiente de fricci@'on est@'atica entre el bloque y la pared es de 0.25, @questiondown{}Cual es la fuerza m@'{@dotless{i}}nima F que debe aplicarse para que el bloque no resbale hacia abajo? @center @image{s-e3-1, 3cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Antes que nada, hay que notar que la fuerza m@'{@dotless{i}}nima F, corresponde al caso cuando el peso del bloque es igual a la m@'axima fuerza de fricci@'on. Por lo tanto, debemos usar un elemento Fricci@'on para plantear el problema. Con esto en mente, borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, y un elemento Bloque. A este @'ultimo le agregamos dos elementos Fuerza, y un elemento Fricci@'on, para formar el diagrama de cuerpo libre del bloque, tal y como se muestra en la siguiente imagen: @center @image{s-e3-2, 4cm} Como sabemos, el elemento Sistema de referencia fijo coloca autom@'aticamente el valor de la gravedad: @sp 1 @table @strong @item g 9.81 @end table @sp 1 En el elemento Bloque, colocamos la masa del bloque: @sp 1 @table @strong @item m 3 @end table @sp 1 El elemento Fuerza hacia la izquierda corresponde a la fuerza F que se desea encontrar. Por lo tanto, es una inc@'ognita: @sp 1 @table @strong @item f F @end table El elemento Fuerza hacia la derecha es la normal aplicada por la pared, que es tambi@'en una inc@'ognita: @table @strong @item f n @end table @sp 1 Y en el elemento Fricci@'on colocamos la normal a partir de la cual se calcula la fricci@'on y el coeficiente de fricci@'on est@'atica: @sp 1 @table @strong @item Normal n @item u 0.25 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example F = 117.720 N ; n = 117.720 N ; Estado = success. @end example @page @node Ejemplo 4 (e), Ejemplo 5 (e), Ejemplo 3 (e), Ejemplos estatica @section Ejemplo 4 @cindex Ejemplo 4 (e) @questiondown{}A que @'angulo de inclinaci@'on comenzara a deslizarse un bloque de 3.7 kg cuando el coeficiente de fricci@'on es de 0.39? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, un elemento Bloque en un plano inclinado (derecha o izquierda), un elemento Fuerza, un elemento Fricci@'on y un elemento @'Angulos. Y formamos el diagrama de cuerpo libre tal y como se muestra en la siguiente imagen: @center @image{s-e4, 6cm} El elemento Sistema de referencia fijo agrega por defecto el valor de la gravedad. Para el elemento Bloque en un plano inclinado agregamos el dato de la masa, mientras que el dato del @'angulo es una inc@'ognita: @sp 1 @table @strong @item m 3.7 @item ang ang1 @end table @sp 1 Para el elemento Fuerza que representa la normal ambos datos son desconocidos: @sp 1 @table @strong @item f normal @item ang ang2 @end table @sp 1 Para el elemento Fricci@'on, colocamos la normal a partir de la cual se calcula la fricci@'on y el coeficiente: @sp 1 @table @strong @item Normal normal @item u 0.39 @end table @sp 1 Y en el elemento @'Angulos agregamos los dos @'angulos desconocidos, ya que estos deben ser complementarios: @sp 1 @table @strong @item ang1 ang1 @item ang2 ang2 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example ang1 = 21.306 grados ; ang2 = 68.694 ; normal = 33.816 N ; Estado = success. @end example @page @node Ejemplo 5 (e), Ejemplo 6 (e), Ejemplo 4 (e), Ejemplos estatica @section Ejemplo 5 @cindex Ejemplo 5 (e) Un bloque de masa m esta sostenido por una combinaci@'on de cuerdas como muestra la figura. Si la tensi@'on en la cuerda A es de 2 Newtons, @questiondown{}Cual es la tensi@'on en la cuerda B? @questiondown{}Y cual la masa del bloque? @sp 1 @center @image{s-e5-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, un elemento Punto, y un elemento Bloque. Al elemento Punto le agregamos tres elementos Fuerza, y al elemento Bloque solamente uno, para formar dos diagramas de cuerpo libre, tal y como se muestra en la siguiente imagen: @center @image{s-e5-2, 4cm} El elemento Sistema de referencia fijo agrega por defecto el valor de la gravedad. El elemento Punto solamente tiene como dato el Nombre, el cual es irrelevante para cualquier caso. Para el elemento Fuerza oblicua que corresponde a la cuerda A, ponemos los datos proporcionados: @sp 1 @table @strong @item f 2 @item ang 35 @end table @sp 1 Para el elemento Fuerza oblicua que corresponde a la cuerda B, colocamos el dato del @'angulo, y dejamos como inc@'ognita el valor de la fuerza: @sp 1 @table @strong @item f B @item ang 22 @end table @sp 1 Para el elemento Fuerza vertical, aplicada al elemento Punto, que corresponde a la tensi@'on en la cuerda que sostiene al bloque, dejamos como inc@'ognita el valor de dicha tensi@'on: @sp 1 @table @strong @item f t @end table @sp 1 Para el elemento Bloque, dejamos como inc@'ognita el dato de la masa: @sp 1 @table @strong @item m m @end table @sp 1 Y para el elemento Fuerza aplicado al bloque, colocamos la misma inc@'ognita que para la fuerza vertical aplicada al punto (es la misma cuerda y por lo tanto la misma tensi@'on): @sp 1 @table @strong @item f t @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver, para obtener la respuesta: @example t = 1.809 N ; B = 1.767 N ; m = 0.184 kg ; Estado = success. @end example @page @node Ejemplo 6 (e), Ejemplo 7 (e), Ejemplo 5 (e), Ejemplos estatica @section Ejemplo 6 @cindex Ejemplo 6 (e) Un bloque de 5 kilogramos cuelga de una cuerda amarrada a un resorte (ver figura). Si la constante del resorte es de 500 N/m @questiondown{}Cual es la tensi@'on en la cuerda? @questiondown{}Que tanto se estira el resorte? @center @image{s-e6-1, 3cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, un elemento Resorte, y un elemento Bloque. A cada uno de estos elementos, le agregamos un elemento Fuerza, para formas dos diagramas de cuerpo libre, tal y como se muestra en la siguiente imagen: @center @image{s-e6-2, 3cm} El elemento Sistema de referencia fijo agrega autom@'aticamente el valor de la gravedad. Para el elemento Bloque, colocamos el valor de la masa: @sp 1 @table @strong @item m 5 @end table @sp 1 El valor de la fuerza aplicada al bloque es una inc@'ognita, y la colocamos como tal: @sp 1 @table @strong @item f t @end table @sp 1 Para el elemento Resorte, colocamos el valor de la constante del resorte, y la distancia que se estira el mismo queda como inc@'ognita: @sp 1 @table @strong @item k 500 @item d d @end table @sp 1 El valor de la fuerza aplicada al resorte, es una inc@'ognita. La misma inc@'ognita de la fuerza aplicada al bloque (es la misma cuerda): @sp 1 @table @strong @item f t @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la respuesta: @example t = 49.050 N ; d = 0.098 m ; Estado = success. @end example @page @node Ejemplo 7 (e), Ejemplo 8 (e), Ejemplo 6 (e), Ejemplos estatica @section Ejemplo 7 @cindex Ejemplo 7 (e) Una resorte sostiene un bloque de masa desconocida (ver figura). Si la constante del resorte es de 150 N/m, y el resorte se ha comprimido 5 cm, @questiondown{}Cual es la masa del bloque en gramos? @center @image{s-e7-1, 3cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Borramos el contenido de la Pizarra, seleccionamos el sistema de unidades SI, y agregamos un elemento Sistema de referencia fijo, un elemento Resorte, y un elemento Bloque. A estos dos @'ultimos elementos, les agregamos un elemento Fuerza, para formas dos diagramas de cuerpo libre, tal y como se muestra en la siguiente imagen: @center @image{s-e7-2, 3cm} El elemento Sistema de referencia fijo agrega autom@'aticamente el valor de la gravedad. Para el elemento Bloque, la masa es una inc@'ognita, y por lo tanto, la colocamos como tal: @sp 1 @table @strong @item m m @@ g @end table @sp 1 Se ha colocado la conversi@'on para gramos, puesto que la masa se pide en gramos. El valor de la fuerza aplicada al bloque tambi@'en es una inc@'ognita: @sp 1 @table @strong @item f f @end table @sp 1 Para el elemento Resorte, colocamos el valor de la constante del resorte, y la distancia que se comprime el mismo: @sp 1 @table @strong @item k 150 @item d -5 @@ cm @end table @sp 1 Obs@'ervese que se ha utilizado el factor de conversi@'on para cent@'{@dotless{i}}metros, y que el signo es negativo, puesto que el resorte esta comprimido. El valor de la fuerza aplicada al resorte, es una inc@'ognita. La misma inc@'ognita de la fuerza aplicada al bloque (son un par acci@'on-reacci@'on): @sp 1 @table @strong @item f f @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la respuesta: @example f = 7.500 N ; m = 764.526 g ; Estado = success. @end example @page @node Ejemplo 8 (e), Ejemplo 9 (e), Ejemplo 7 (e), Ejemplos estatica @section Ejemplo 8 @cindex Ejemplo 8 (e) Un bloque de 7 kilogramos, se sostiene mediante un par de poleas como se muestra en la figura. @questiondown{}Cual es el valor de la fuerza F? @sp 1 @center @image{s-e8-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Se necesitan tres diagramas de cuerpo libre, uno para el bloque, y uno para cada polea. Agregando los elementos requeridos se pueden construir los tres diagramas de cuerpo libre, como se muestra en la siguiente imagen. Donde los diferentes diagramas se resaltan con c@'{@dotless{i}}rculos: @center @image{s-e8-2, 5cm} Para el elemento Bloque, se ingresa el dato de la masa: @sp 1 @table @strong @item m 7 @end table @sp 1 Para el elemento Fuerza aplicada al bloque, la tensi@'on es una inc@'ognita por lo que se coloca como tal. Llamando t1 a esta tensi@'on, tenemos: @sp 1 @table @strong @item f t1 @end table @sp 1 Los elementos Polea tienen como @'unico dato el Nombre, el cual es irrelevante en cualquier caso. Para la Polea inmediatamente arriba del bloque, la fuerza vertical hacia abajo, es una inc@'ognita, la misma inc@'ognita que tiene la fuerza aplicada al bloque (es la misma cuerda): @sp 1 @table @strong @item f t1 @end table @sp 1 En esta misma Polea, el valor de las fuerzas verticales hacia arriba, son inc@'ognitas. Sin embargo, al tratarse de la misma cuerda, la inc@'ognita es la misma. Llamando t2 a esta tensi@'on, tenemos, para ambas fuerzas: @sp 1 @table @strong @item f t2 @end table @sp 1 En la otra Polea, la fuerza vertical hacia abajo y la fuerza oblicua, son inc@'ognitas. Pero, al tratarse de la misma cuerda que pasa por la otra Polea, se les coloca la misma inc@'ognita. Para la fuerza vertical hacia abajo, tenemos entonces: @sp 1 @table @strong @item f t2 @end table @sp 1 Y para la fuerza oblicua: @sp 1 @table @strong @item f t2 @item ang 25 @end table @sp 1 Por @'ultimo, la fuerza vertical hacia arriba y la fuerza horizontal, son las reacciones del soporte donde se encuentra la Polea. Y, puesto que ambas son inc@'ognitas, se colocan como tales. Llamando Ry a la reacci@'on vertical, tenemos: @sp 1 @table @strong @item f Ry @end table @sp 1 Y llamando Rx a la reacci@'on horizontal: @sp 1 @table @strong @item f Rx @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la soluci@'on: @example t2 = 34.335 N ; Ry = 48.846 N ; t1 = 68.670 N ; Rx = -31.118 N ; Estado = success. @end example Obs@'ervese el signo negativo para el dato de Rx, indicando que el sentido de la fuerza es opuesto al que supusimos en el diagrama de cuerpo libre correspondiente. @page @node Ejemplo 9 (e), , Ejemplo 8 (e), Ejemplos estatica @section Ejemplo 9 @cindex Ejemplo 9 (e) Un bloque de 20 kilogramos se cuelga de una cuerda como se muestra en la figura. Si el resorte esta estirado 4 cm, @questiondown{}Cual es la constante del resorte? @questiondown{}Cuales son las reacciones en el soporte A? @center @image{s-e9-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Agregando los elementos necesarios se pueden construir los tres diagramas de cuerpo libre requeridos, como se muestra en la siguiente imagen: @center @image{s-e9-2, 6cm} Obs@'ervese que como no nos preguntan las reacciones en la Polea, no agregamos un elemento polea. Tenemos, entonces, para el elemento Bloque: @sp 1 @table @strong @item m 20 @end table @sp 1 Y para la fuerza aplicada al bloque, que es una inc@'ognita: @sp 1 @table @strong @item f t @end table @sp 1 Para el elemento Resorte tenemos: @sp 1 @table @strong @item k k @item d 4 @@ cm @end table @sp 1 Y para cada una de las fuerzas aplicadas al resorte, cuyo valor es una inc@'ognita, tenemos (la misma inc@'ognita de la fuerza en el bloque, puesto que es la misma cuerda): @sp 1 @table @strong @item f t @item ang 45 @end table @sp 1 La magnitud de la fuerza oblicua aplicada al elemento Punto, es una inc@'ognita. Pero es la misma inc@'ognita que la de las fuerzas en el resorte y en el bloque: @sp 1 @table @strong @item f t @item ang 45 @end table @sp 1 Por @'ultimo tenemos las reacciones vertical y horizontal, ambas inc@'ognitas. Llam@'andolas Rx y Ry respectivamente, tenemos: @sp 1 @table @strong @item f Ry @end table @sp 2 @table @strong @item f Rx @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la soluci@'on: @example t = 196.200 N ; k = 4905.000 N/m ; Rx = 138.734 N ; Ry = -138.734 N ; Estado = success. @end example trunk/Documentation/Manual/Spanish/calorimetry.texinfo0000777000076400007640000004003512734077040023135 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Calorimetria, Ejemplos calorimetria, Ejemplos dinamica circular, Top @chapter Calorimetr@'{@dotless{i}}a @cindex Calorimetr@'{@dotless{i}}a En este m@'odulo @'unicamente esta disponible el sistema SI, con los siguientes factores de conversi@'on: @sp 2 @table @strong @item T tonelada m@'etrica @item g gramo @item slug slug @item C grado Celsius @item R Rankin @item F grado Farenheit @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item ft pie @item in pulgada @item h hora @item min minuto @item cm2 cent@'{@dotless{i}}metros cuadrados @item mm2 mil@'{@dotless{i}}metros cuadrados @item ft2 pies cuadrados @item in2 pulgadas cuadradas @item cm3 cent@'{@dotless{i}}metros c@'ubicos @item mm3 mil@'{@dotless{i}}metros c@'ubicos @item ft3 pies c@'ubicos @item in3 pulgadas cubicas @item L litro @item psi libra por pulgada cuadrada @item atm atm@'osfera @item bar bar @item Torr Torricelli @item mmHg mil@'{@dotless{i}}metros de mercurio @item J/kg*C Joules por kilogramo Celsius @item cal/g*K calor@'{@dotless{i}}a por gramo Kelvin @item kcal/kg*K kilocalor@'{@dotless{i}}a por kilogramo Kelvin @item cal/g*C calor@'{@dotless{i}}a por gramo Celsius @item kcal/kg*C kilocalor@'{@dotless{i}}a por kilogramo Celsius @item cal/g calor@'{@dotless{i}}a por gramo @item kcal/kg kilocalor@'{@dotless{i}}a por kilogramo @item kWh kilo Watts hora @item Btu unidad t@'ermica brit@'anica @item kcal kilocalor@'{@dotless{i}}a @item cal calor@'{@dotless{i}}a @item hp caballo de fuerza @item Btu/h unidad t@'ermica brit@'anica por hora @item lb*ft/s libra pie por segundo @item m3/min metros c@'ubicos por minuto @item ft3/s pies c@'ubicos por segundo @item gal/min galones por minuto @item L/min litros por minuto @end table @sp 2 Este m@'odulo esta constituido por 20 elementos, los cuales se presentan a continuaci@'on con una descripci@'on de cada uno de ellos, de los datos que requieren, los elementos que admiten y el n@'umero de ecuaciones que establece cada uno. Entre par@'entesis se especifican las dimensionales que F@'{@dotless{i}}sicaLab aplica (si no se utilizan factores de conversi@'on) para aquellos datos en que pueda haber duda. Los elementos Bloque, Liquido, Gas, Cambio de fase s@'olido-liquido, Cambio de fase liquido-gas y Proceso, admiten la aplicaci@'on de elementos calor (Calor aplicado, Flujo de calor aplicado, Calor extra@'{@dotless{i}}do y Refrigeraci@'on). Los elementos calor se aplican a un elemento dado coloc@'andolo en alguna de las ocho casilla alrededor de este. @page @menu * Reloj del laboratorio: Reloj del laboratorio (cal). * Calor aplicado: Calor aplicado (cal). * Flujo de calor aplicado: Flujo de calor (cal). * Calor extra@'{@dotless{i}}do: Calor extraido (cal). * Refrigeraci@'on: Refrigeracion (cal). * Bloque: Bloque (cal). * Liquido: Liquido (cal). * Gas: Gas (cal). * Dilataci@'on lineal: Dilatacion lineal (cal). * Dilataci@'on superficial: Dilatacion superficial (cal). * Dilataci@'on volum@'etrica: Dilatacion volumetrica (cal). * Cambio de fase s@'olido-liquido: Cambio de fase solido-liquido (cal). * Cambio de fase liquido-gas: Cambio de fase liquido-gas (cal). * Proceso: Proceso (cal). * Calor@'{@dotless{i}}metro: Calorimetro (cal). * Gas a presi@'on constante: Gas a presion constante (cal). * Gas a temperatura constante: Gas a temperatura constante (cal). * Gas a volumen constante: Gas a volumen constante (cal). * Gas PV/T: Gas PV/T (cal). * Intercambiador de calor: Intercambiador de calor (cal). @end menu @node Reloj del laboratorio (cal), Calor aplicado (cal), Calorimetria, Calorimetria @section Reloj del laboratorio @cindex Reloj del laboratorio (cal) @image{t_lab} Establece el reloj para medir el tiempo. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item t: @tab Tiempo durante el cual se suministra (o extrae) un flujo de calor. @end multitable @node Calor aplicado (cal), Flujo de calor (cal), Reloj del laboratorio (cal), Calorimetria @section Calor aplicado @cindex Calor aplicado (cal) @image{en_calor} Una cierta cantidad de calor aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor aplicado (en Joules). @end multitable @node Flujo de calor (cal), Calor extraido (cal), Calor aplicado (cal), Calorimetria @section Flujo de calor aplicado @cindex Flujo de calor aplicado (cal) @image{f_calor} Flujo de calor aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item dQ/dt: @tab Flujo de calor aplicado (en Joules por segundo, Watts). @end multitable @page @node Calor extraido (cal), Refrigeracion (cal), Flujo de calor (cal), Calorimetria @section Calor extra@'{@dotless{i}}do @cindex Calor extra@'{@dotless{i}}do (cal) @image{ex_calor} Una cierta cantidad de calor extra@'{@dotless{i}}do. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor extra@'{@dotless{i}}do (en Joules). @end multitable @node Refrigeracion (cal), Bloque (cal), Calor extraido (cal), Calorimetria @section Refrigeraci@'on @cindex Refrigeraci@'on (cal) @image{refri} Flujo de calor extra@'{@dotless{i}}do. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item dQ/dt: @tab Flujo de calor extra@'{@dotless{i}}do (en Joules por segundo, Watts). @end multitable @page @node Bloque (cal), Liquido (cal), Refrigeracion (cal), Calorimetria @section Bloque @cindex Bloque (cal) @image{bloque_c} Una cierta cantidad de materia en estado s@'olido. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del bloque. @item m: @tab Masa. @item c: @tab Calor especifico del material (en J/kg*K). @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @node Liquido (cal), Gas (cal), Bloque (cal), Calorimetria @section Liquido @cindex Liquido (cal) @image{liquido} Una cierta cantidad de materia en estado liquido. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del liquido. @item m: @tab Masa. @item c: @tab Calor especifico del liquido (en J/kg*K). @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page @node Gas (cal), Dilatacion lineal (cal), Liquido (cal), Calorimetria @section Gas @cindex Gas (cal) @image{gas} Una cierta cantidad de materia en estado gaseoso. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del gas. @item m: @tab Masa. @item c: @tab Calor especifico del gas (en J/kg*K). @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @node Dilatacion lineal (cal), Dilatacion superficial (cal), Gas (cal), Calorimetria @section Dilataci@'on lineal @cindex Dilataci@'on lineal (cal) @image{dil_l} Varilla que sufre una dilataci@'on (o contracci@'on) lineal. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item k: @tab Coeficiente de dilataci@'on lineal (en 1/K). @item Li: @tab Longitud inicial. @item Lf: @tab Longitud final. @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page @node Dilatacion superficial (cal), Dilatacion volumetrica (cal), Dilatacion lineal (cal), Calorimetria @section Dilataci@'on superficial @cindex Dilataci@'on superficial (cal) @image{dil_s} Superficie que sufre una dilataci@'on (o contracci@'on). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item k: @tab Coeficiente de dilataci@'on superficial (en 1/K). @item Si: @tab Superficie inicial. @item Sf: @tab Superficie final. @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @node Dilatacion volumetrica (cal), Cambio de fase solido-liquido (cal), Dilatacion superficial (cal), Calorimetria @section Dilataci@'on volum@'etrica @cindex Dilataci@'on volum@'etrica (cal) @image{dil_v} Volumen que sufre una dilataci@'on (o contracci@'on). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item k: @tab Coeficiente de dilataci@'on volum@'etrica (en 1/K). @item Vi: @tab Volumen inicial. @item Vf: @tab Volumen final. @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page @node Cambio de fase solido-liquido (cal), Cambio de fase liquido-gas (cal), Dilatacion volumetrica (cal), Calorimetria @section Cambio de fase s@'olido-liquido @cindex Cambio de fase s@'olido-liquido (cal) @image{cfase_sl} Una cierta cantidad de materia en un cambio de fase s@'olido-liquido o viceversa. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre dado al cambio de fase. @item m: @tab Masa de la cantidad de materia implicada en el cambio de fase. @item cf: @tab Calor de fusi@'on (en Joules por kilogramo). @item Sentido: @tab Sentido del cambio de fase, > (mayor que) indica un cambio de fase de s@'olido a liquido. Mientras que < (menor que) implica el proceso inverso. @end multitable @page @node Cambio de fase liquido-gas (cal), Proceso (cal), Cambio de fase solido-liquido (cal), Calorimetria @section Cambio de fase liquido-gas @cindex Cambio de fase liquido-gas (cal) @image{cfase_lg} Una cierta cantidad de materia en un cambio de fase liquido-gas o viceversa. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre dado al cambio de fase. @item m: @tab Masa de la cantidad de materia implicada en el cambio de fase. @item cv: @tab Calor de vaporizaci@'on (en Joules por kilogramo). @item Sentido: @tab Sentido del cambio de fase, > (mayor que) indica un cambio de fase de liquido a gas. Mientras que < (menor que) implica el proceso inverso. @end multitable @page @node Proceso (cal), Calorimetro (cal), Cambio de fase liquido-gas (cal), Calorimetria @section Proceso @cindex Proceso (cal) @image{cfase_gen} Una cierta cantidad de materia implicada en un proceso con cambios de fase. Los elementos que pueden estar implicados en el proceso (5 en total, llamados Objeto 1, Objeto 2,...), son los bloques, l@'{@dotless{i}}quidos, gases y cambios de fase. No admiti@'endose m@'as de dos cambios de fase por proceso. Si el nombre de un objeto se deja a '0', se asume que dicho objeto no participa. Adem@'as, los elementos implicados no pueden tener aplicados elementos Calor, Flujo de calor, Calor extra@'{@dotless{i}}do o Refrigeraci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del proceso. @item Objeto 1: @tab Un bloque, liquido, gas o cambio de fase implicado en el proceso. @item Objeto 2: @tab Un bloque, liquido, gas o cambio de fase implicado en el proceso. @item Objeto 3: @tab Un bloque, liquido, gas o cambio de fase implicado en el proceso. @item Objeto 4: @tab Un bloque, liquido, gas o cambio de fase implicado en el proceso. @item Objeto 5: @tab Un bloque, liquido, gas o cambio de fase implicado en el proceso. @end multitable @page @node Calorimetro (cal), Gas a presion constante (cal), Proceso (cal), Calorimetria @section Calor@'{@dotless{i}}metro @cindex Calor@'{@dotless{i}}metro (cal) @image{mezcla} Calor@'{@dotless{i}}metro para realizar mezclas. Puede albergar cuatro procesos, bloques, l@'{@dotless{i}}quidos o gases (llamados Objeto 1, Objeto 2,...), y no admite elementos Cambio de fase. Si el nombre de un objeto se deja a '0', se asume que dicho objeto no participa. Adem@'as, los elementos (o los elementos de los procesos) implicados no pueden tener aplicados elementos Calor, Flujo de Calor, Calor extra@'{@dotless{i}}do o Refrigeraci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto 1: @tab Un bloque, liquido, gas o proceso implicado en la mezcla. @item Objeto 2: @tab Un bloque, liquido, gas o proceso implicado en la mezcla. @item Objeto 3: @tab Un bloque, liquido, gas o proceso implicado en la mezcla. @item Objeto 4: @tab Un bloque, liquido, gas o proceso implicado en la mezcla. @end multitable @page @node Gas a presion constante (cal), Gas a temperatura constante (cal), Calorimetro (cal), Calorimetria @section Gas a presi@'on constante @cindex Gas a presi@'on constante (cal) @image{gas_pc} Un gas ideal a presi@'on constante (ley de Charles y Gay-Lussac). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Vi: @tab Volumen inicial. @item Ti: @tab Temperatura inicial (en Kelvins). @item Vf: @tab Volumen final. @item Tf: @tab Temperatura final (en Kelvins). @end multitable @node Gas a temperatura constante (cal), Gas a volumen constante (cal), Gas a presion constante (cal), Calorimetria @section Gas a temperatura constante @cindex Gas a temperatura constante (cal) @image{gas_tc} Un gas ideal a temperatura constante (ley de Boyle-Mariotte). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Pi: @tab Presi@'on inicial (en Pascales). @item Vi: @tab Volumen inicial. @item Pf: @tab Presi@'on final (en Pascales). @item Vf: @tab Volumen final. @end multitable @page @node Gas a volumen constante (cal), Gas PV/T (cal), Gas a temperatura constante (cal), Calorimetria @section Gas a volumen constante @cindex Gas a volumen constante (cal) @image{gas_vc} Un gas ideal a volumen constante. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Pi: @tab Presi@'on inicial (en Pascales). @item Ti: @tab Temperatura inicial (en Kelvins). @item Pf: @tab Presi@'on final (en Pascales). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @node Gas PV/T (cal), Intercambiador de calor (cal), Gas a volumen constante (cal), Calorimetria @section Gas PV/T @cindex Gas PV/T (cal) @image{gas_pvt} Un gas ideal (ecuaci@'on general). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Pi: @tab Presi@'on inicial (en Pascales). @item Vi: @tab Volumen inicial. @item Ti: @tab Temperatura inicial (en Kelvins). @item Pf: @tab Presi@'on final (en Pascales). @item Vf: @tab Volumen final. @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page @node Intercambiador de calor (cal), , Gas PV/T (cal), Calorimetria @section Intercambiador de calor @cindex Intercambiador de calor (cal) @image{conden} Un sencillo intercambiador de calor. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item TRi: @tab Temperatura de entrada del refrigerante (en Kelvins). @item TRf: @tab Temperatura de salida del refrigerante (en Kelvins). @item dR/dt: @tab Flujo del refrigerante (en metros c@'ubicos por segundo). @item cR: @tab Calor especifico del refrigerante (en J/kg*K). @item TFi: @tab Temperatura de entrada del fluido (en Kelvins). @item TFf: @tab Temperatura de salida del fluido (en Kelvins). @item dF/dt: @tab Flujo del fluido (en metros c@'ubicos por segundo). @item cF: @tab Calor especifico del fluido (en J/kg*K). @end multitable trunk/Documentation/Manual/Spanish/masaPer.png0000777000076400007640000000423112734077040021301 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~~zTXtRaw profile type 8bimxڕA0 :GhjۿHā iVInd[6 0,K)0XӘJRS$}~}[T#j4 1}BAv~ʓt+J `m!0>գ=>d$]:񦖥HCi`X?:RV=>?3tK?rH.dvb(.On)°zG̤jעӖՑQ>ƙ`Gé^P6q!,G-l ߊ-G:m)PNh:X;4 z7 *(E0<ԃid,h] puQ[V>_kZEBT׈b70b%"[qfy\ƫ> &TL`3ۗ愞 \nXٵI_rVyrHpy0')Yx#mM vAFgw *d)f:"!B`O}7qwҗP4%%`.(2-B~/GIB<$!~z> \A IK?A( hP뿅ztڎ& !HE'(#g0.,DfOIm2 .b_ZX֚f޶y.Tig' v?Fj\:v0RBc5`2n֝^ ծfm@ t: yMX;V? 1K;qNƍ=pr&mpp\X;#&eD >p zIۭހD,@POJ!͐)Xmj͊Fq ''1E}dzfpw.Z,myJXޜ=9:soeskA`l^= E(1 vpAg00W`IDATh헿kSQ?'1҂RM(."]bbA'E `:PEZܜiDQEDNvҊskEK_^~{9}{X,K$"% )S@*zWW 0d/) JN]PrfcD@+kU*``̮:͐n8Vx> pT}ȧ=  ) O7-k+1 ߹Hp4VpN^˅vyء9Ѓ V\'}fDN|2z ?R=(39)x0(81Ft,4( <J]aDaARϳRfog7Hb̉o! E7V#:D~ES4Bʸɑ U#͵׍-sv\usI VF)dLG!2۔LsHr_<̰h0,vZz6oT)RZ04c `/]^!v 0`enWtvbX,/+ҀxotEXtcommentCreated with GIMP@%tEXtdate:create2013-01-17T23:28:50-06:00Bq%tEXtdate:modify2012-05-22T12:37:48-06:00tEXttiff:alphaunassociated(GtEXttiff:document/home/german/Proyectos/GSfisica/estatica/resultante_h.tif=tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/calorimetry-examples.texinfo0000777000076400007640000005735514506453613024771 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013, 2023 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos calorimetria, Termodinamica, Calorimetria, Top @chapter Ejemplos de calorimetr@'{@dotless{i}}a @cindex Ejemplos de calorimetr@'{@dotless{i}}a @menu * Ejemplo 1 (cal):: * Ejemplo 2 (cal):: * Ejemplo 3 (cal):: * Ejemplo 4 (cal):: * Ejemplo 5 (cal):: * Ejemplo 6 (cal):: * Ejemplo 7 (cal):: * Ejemplo 8 (cal):: * Ejemplo 9 (cal):: * Ejemplo 10 (cal):: * Ejemplo 11 (cal):: * Ejemplo 12 (cal):: * Ejemplo 13 (cal):: @end menu @node Ejemplo 1 (cal), Ejemplo 2 (cal), Ejemplos calorimetria, Ejemplos calorimetria @section Ejemplo 1 @cindex Ejemplo 1 (cal) Un bloque de cobre (calor especifico 390 J/kg*K) de 0.5 kg tiene una temperatura de 17 C. Si se le aplican 150 calor@'{@dotless{i}}as @questiondown{}Cual sera su temperatura final en Celsius? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Bloque y un elemento Calor aplicado, como muestra la siguiente imagen: @center @image{cal-e1, 3cm} Para el elemento Bloque, que representa el bloque de cobre, tenemos: @sp 1 @table @strong @item Nombre 0 @item m 0.5 @item c 390 @item Ti 17 @@ C @item Tf tf @@ C @end table @sp 1 Y para el elemento Calor aplicado: @sp 1 @table @strong @item Q 150 @@ cal @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example tf = 20.221 C ; Estado = success. @end example @page @node Ejemplo 2 (cal), Ejemplo 3 (cal), Ejemplo 1 (cal), Ejemplos calorimetria @section Ejemplo 2 @cindex Ejemplo 2 (cal) Un calentador el@'ectrico de 1500 Watts se sumerge en un recipiente que contiene 10 kilogramos de agua (calor especifico 4187 J/kg*K) con una temperatura de 24 C. @questiondown{}Cual sera la temperatura final del agua, en Celsius, despu@'es de 8 minutos (asumiendo que todo el calor generado por el calentador es absorbido por el agua)? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Liquido, un elemento Flujo de calor aplicado y un elemento Reloj del laboratorio, como muestra la siguiente imagen: @center @image{cal-e2, 3cm} Para el elemento Liquido, los 10 kg de agua, tenemos: @sp 1 @table @strong @item Nombre 0 @item m 10 @item c 4187 @item Ti 24 @@ C @item Tf tf @@ C @end table @sp 1 Para el flujo de calor aplicado: @sp 1 @table @strong @item dQ/dt 1500 @end table @sp 1 Y para el reloj del laboratorio: @sp 1 @table @strong @item t 8 @@ min @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example tf = 41.196 C ; Estado = success. @end example @page @node Ejemplo 3 (cal), Ejemplo 4 (cal), Ejemplo 2 (cal), Ejemplos calorimetria @section Ejemplo 3 @cindex Ejemplo 3 (cal) Una varilla de aluminio (coeficiente lineal de dilataci@'on 24E-6 1/K) de 55 cm y a una temperatura inicial de 20 C, aumenta su temperatura hasta los 100 C. @questiondown{}Cual es la longitud de la varilla a esa temperatura? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Dilataci@'on lineal, como muestra la siguiente imagen: @center @image{cal-e3, 3cm} Para este @'unico elemento agregamos los datos indicados: @sp 1 @table @strong @item k 24E-6 @item Li 55 @@ cm @item Lf Lf @@ cm @item Ti 20 @@ cm @item Tf 100 @@ cm @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Lf = 55.106 cm ; Estado = success. @end example @page @node Ejemplo 4 (cal), Ejemplo 5 (cal), Ejemplo 3 (cal), Ejemplos calorimetria @section Ejemplo 4 @cindex Ejemplo 4 (cal) A 24 C el volumen de un recipiente de cobre es de 1 Litro (coeficiente volum@'etrico de dilataci@'on 51E-6 1/K). @questiondown{}Cual sera su volumen, en litros, a 110 C? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Dilataci@'on volum@'etrica, como muestra la siguiente imagen: @center @image{cal-e4, 3cm} Para este @'unico elemento agregamos los datos indicados: @sp 1 @table @strong @item k 51E-6 @item Vi 1 @@ L @item Vf Vf @ L @item Ti 24 @@ C @item Tf 110 @@ C @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Vf = 1.004 L ; Estado = success. @end example @page @node Ejemplo 5 (cal), Ejemplo 6 (cal), Ejemplo 4 (cal), Ejemplos calorimetria @section Ejemplo 5 @cindex Ejemplo 5 (cal) @questiondown{}Cuanto calor debe extraerse para solidificar 250 g de hierro fundido a su punto de fusi@'on? Dar la respuesta en Joules (Calor de fusi@'on del hierro = 69.1 cal/g). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Cambio de fase solido-liquido, y a este le aplicamos un elemento Calor extra@'{@dotless{i}}do, como muestra la siguiente imagen: @center @image{cal-e5, 3cm} Para el elemento Cambio de fase solido-liquido tenemos: @sp 1 @table @strong @item Nombre 0 @item m 250 @@ g @item cf 69.1 @@ cal/g @item Sentido < @end table @sp 1 En el campo @emph{Sentido} ponemos @kbd{<} puesto que el cambio de fase es de liquido a solido. Ahora para el elemento Calor extra@'{@dotless{i}}do tenemos: @sp 1 @table @strong @item Q Q @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Q = 72330.425 J ; Estado = success. @end example @page @node Ejemplo 6 (cal), Ejemplo 7 (cal), Ejemplo 5 (cal), Ejemplos calorimetria @section Ejemplo 6 @cindex Ejemplo 6 (cal) @questiondown{}Cuanto calor, en kilocalor@'{@dotless{i}}as, debe agregarse para transformar un bloque de 3 kg de hielo a -5 C, en agua a + 22 C? (Capacidad calor@'{@dotless{i}}fica del hielo = 0.50 cal/g*K, capacidad calor@'{@dotless{i}}fica del agua = 1 cal/g*K, y calor de fusi@'on del agua = 79.7 cal/g). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso, al cual le aplicamos un elemento Calor aplicado. Agregamos tambi@'en un elemento Bloque, un elemento Cambio de fase solido-liquido, y un elemento Liquido, como muestra la siguiente imagen (las flechas amarillas son @'unicamente para indicar el sentido del proceso): @center @image{cal-e6, 8cm} Para el elemento Calor aplicado, donde debemos utilizar la conversi@'on para kilocalor@'{@dotless{i}}as, tenemos: @sp 1 @table @strong @item Q Q @@ cal @end table @sp 1 El elemento Proceso, cuyo nombre en este problema es irrelevante, representa el cambio que sufre el agua desde su estado solido a -5 C hasta su estado liquido a 22 C. Este elemento debe contener el elemento Bloque, que representa el agua en estado solido, as@'{@dotless{i}} como el elemento Cambio de fase solido-liquido, que representa el cambio de fase sufrido por el agua, y el elemento Liquido, que representa el estado final del agua. A dichos elementos los llamaremos @emph{Solido}, @emph{Fusion} y @emph{Liquido}, respectivamente. Por lo tanto, para el elemento Proceso tenemos: @sp 1 @table @strong @item Nombre 0 @item Objeto 1 Solido @item Objeto 2 Fusion @item Objeto 3 Liquido @item Objeto 4 0 @item Objeto 5 0 @end table @sp 1 Ahora para el elemento Bloque, que representa al agua en estado solido y que llamaremos @emph{Solido}, puesto que es con este nombre con el que nos referimos a el en el elemento Proceso, tenemos: @sp 1 @table @strong @item Nombre Solido @item m 3 @item c 0.5 @@ cal/g*K @item Ti -5 @@ C @item Tf 0 @@ C @end table @sp 1 Para el elemento Cambio de fase solido-liquido, que representa el cambio de fase del agua y que debemos llamar @emph{Fusion}, tenemos: @sp 1 @table @strong @item Nombre Fusion @item m 3 @item cf 79.7 @@ cal/g @item Sentido > @end table @sp 1 Y para el elemento Liquido, que representa el estado final del agua y que llamamos @emph{Liquido}, tenemos: @sp 1 @table @strong @item Nombre Liquido @item m 3 @item c 1 @@ cal/g*K @item Ti 0 @@ C @item Tf 22 @@ C @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Q = 312.600 kcal ; Estado = success. @end example @page @node Ejemplo 7 (cal), Ejemplo 8 (cal), Ejemplo 6 (cal), Ejemplos calorimetria @section Ejemplo 7 @cindex Ejemplo 7 (cal) @questiondown{}Cuanto calor, en calor@'{@dotless{i}}as, debe extraerse para transformar 25 g de plomo derretido a su punto de fusi@'on, en plomo solido a 310 C? (Capacidad calor@'{@dotless{i}}fica del plomo solido = 0.031 cal/g*K, calor de fusi@'on del plomo = 5.54 cal/g, y temperatura de fusi@'on del plomo = 327 C). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso, al cual le aplicamos un elemento Calor extra@'{@dotless{i}}do. Agregamos tambi@'en un elemento Bloque, y un elemento Cambio de fase solido-liquido, como muestra la siguiente imagen (la flecha amarilla @'unicamente indica el sentido del proceso): @center @image{cal-e7, 7cm} Para el elemento Calor extra@'{@dotless{i}}do, tenemos, usando el factor de conversi@'on apropiado: @sp 1 @table @strong @item Q Q @@ cal @end table @sp 1 Para el elemento Proceso (llamando @emph{Solido} y @emph{Fusion} a los elementos Bloque y Cambio de fase, respectivamente), tenemos: @sp 1 @table @strong @item Nombre 0 @item Objeto 1 Fusion @item Objeto 2 Solido @item Objeto 3 0 @item Objeto 4 0 @item Objeto 5 0 @end table @sp 1 Para el elemento Bloque, que llamamos @emph{Solido}, tenemos: @sp 1 @table @strong @item Nombre Solido @item m 25 @@ g @item c 0.031 @@ cal/g*K @item Ti 327 @@ C @item Tf 310 @@ C @end table @sp 1 Obs@'ervese que la temperatura inicial es 327 C y la final 310 C. Ahora en el elemento Cambio de fase solido-liquido, al que llamamos @emph{Fusion}, tenemos cuidado con el sentido del cambio de fase (signo <). Tenemos entonces: @sp 1 @table @strong @item Nombre Fusion @item m 25 @@ g @item cf 5.54 @@ cal/g @item Sentido < @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Q = 151.675 cal ; Estado = success. @end example @page @node Ejemplo 8 (cal), Ejemplo 9 (cal), Ejemplo 7 (cal), Ejemplos calorimetria @section Ejemplo 8 @cindex Ejemplo 8 (cal) Se infla un globo de goma a una temperatura de 18 C, de tal forma que tenga un volumen de 2000 cm3. Si luego se lo lleva a una temperatura de 30 C @questiondown{}Cual sera el nuevo volumen del globo (en cm3)? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Gas a presi@'on constante, como muestra la siguiente imagen: @center @image{cal-e8, 3cm} Para este elemento tenemos, usando los factores de conversi@'on apropiados: @sp 1 @table @strong @item Vi 2000 @@ cm3 @item Ti 18 @@ C @item Vf Vf @@ cm3 @item Tf 30 @@ C @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Vf = 2082.435 cm3 ; Estado = success. @end example @page @node Ejemplo 9 (cal), Ejemplo 10 (cal), Ejemplo 8 (cal), Ejemplos calorimetria @section Ejemplo 9 @cindex Ejemplo 9 (cal) Cierto gas ocupa, a 10 C y 750 mmHg de presi@'on, un volumen de 5 litros. @questiondown{}Que volumen ocupara a 100 C y 3 atm@'osferas de presi@'on? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Gas PV/T, como muestra la siguiente imagen: @center @image{cal-e9, 3cm} Para este elemento tenemos, usando los factores de conversi@'on apropiados: @sp 1 @table @strong @item Pi 750 @@ mmHg @item Vi 5 @@ L @item Ti 10 @@ C @item Pf 3 @@ atm @item Vf Vf @@ L @item Tf 100 @@ C @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Vf = 2.162 L ; Estado = success. @end example @page @node Ejemplo 10 (cal), Ejemplo 11 (cal), Ejemplo 9 (cal), Ejemplos calorimetria @section Ejemplo 10 @cindex Ejemplo 10 (cal) En un vaso pl@'astico de capacidad calor@'{@dotless{i}}fica despreciable se mezclan 300 g de agua a 10 C, con 185 g de agua a 100 C. @questiondown{}Cual es la temperatura final, en grados Celsius, de la mezcla? (Calor especifico del agua = 4187 J/kg*K). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Calor@'{@dotless{i}}metro, y dos elementos Liquido, como muestra la siguiente imagen: @center @image{cal-e10, 3cm} Para uno de los elementos Liquido, que llamaremos A y que representan los 300 g de agua, tenemos: @sp 1 @table @strong @item Nombre A @item m 300 @@ g @item c 4187 @item Ti 10 @@ C @item Tf Tf @@ C @end table @sp 1 Para el otro elemento Liquido, que llamaremos B y que representa los 185 g de agua, tenemos: @sp 1 @table @strong @item Nombre B @item m 185 @@ g @item c 4187 @item Ti 100 @@ C @item Tf Tf @@ C @end table @sp 1 Obs@'ervese que la temperatura final es la misma inc@'ognita en ambos elementos, tal y como debe ser. Y para el elemento Calor@'{@dotless{i}}metro: @sp 1 @table @strong @item Objeto 1 A @item Objeto 2 B @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Tf = 44.330 C ; Estado = success. @end example @page @node Ejemplo 11 (cal), Ejemplo 12 (cal), Ejemplo 10 (cal), Ejemplos calorimetria @section Ejemplo 11 @cindex Ejemplo 11 (cal) En un calor@'{@dotless{i}}metro que contiene 325 g de agua a 20 C, se colocan 77 g de un metal desconocido a 90 C. Si la temperatura final es de 26 C, @questiondown{}Cual es la capacidad calor@'{@dotless{i}}fica del metal desconocido? (Calor especifico del agua = 4187 J/kg*K). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Calor@'{@dotless{i}}metro, un elemento Liquido y un elemento Bloque, como muestra la siguiente imagen: @center @image{cal-e11, 3cm} Para el elemento Liquido, que llamaremos @emph{Agua}, tenemos: @sp 1 @table @strong @item Nombre Agua @item m 325 @@ g @item c 4187 @item Ti 20 @@ C @item Tf 26 @@ C @end table @sp 1 Para el elemento Bloque, que llamaremos @emph{Metal}, tenemos: @sp 1 @table @strong @item Nombre Metal @item m 77 @@ g @item c cM @item Ti 90 @@ C @item Tf 26 @@ C @end table @sp 1 Obs@'ervese que la temperatura final es la misma en ambos elementos, tal y como debe ser. Y para el elemento Calor@'{@dotless{i}}metro: @sp 1 @table @strong @item Objeto 1 Agua @item Objeto 2 Metal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example cM = 1656.788 J/kg*K ; Estado = success. @end example @page @node Ejemplo 12 (cal), Ejemplo 13 (cal), Ejemplo 11 (cal), Ejemplos calorimetria @section Ejemplo 12 @cindex Ejemplo 12 (cal) Un calor@'{@dotless{i}}metro de cobre de 105 g contiene 307 g de agua a 23 C. Si se adicionan 95 g de hielo a -4 C al calor@'{@dotless{i}}metro, @questiondown{}Cual es la temperatura final del sistema en grados Celsius? (Calor especifico del hielo = 2090 J/kg*K, calor especifico del agua = 4187 J/kg*K, calor especifico del cobre = 390 J/kg*K, y calor de fusi@'on del agua = 79.7 cal/g). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Calor@'{@dotless{i}}metro, dos elementos Bloque, dos elementos Liquido, un elemento Cambio de fase solido-liquido y un elemento Proceso, como muestra la siguiente imagen (el circulo en amarillo encierra los elementos que representan el cambio sufrido por el hielo): @center @image{cal-e12-1, 5cm} Para el elemento Bloque, que representa el calor@'{@dotless{i}}metro de cobre y que llamaremos justamente @emph{Cobre}, tenemos: @sp 1 @table @strong @item Nombre Cobre @item m 105 @@ g @item c 390 @item Ti 23 @@ C @item Tf Tf @@ C @end table @sp 1 Para el elemento liquido, que representa el agua dentro del calor@'{@dotless{i}}metro y que llamaremos @emph{Agua}, tenemos: @sp 1 @table @strong @item Nombre Agua @item m 307 @@ g @item c 4187 @item Ti 23 @@ C @item Tf Tf @@ C @end table @sp 1 Ahora, vamos a suponer que el hielo se derrite completamente y que el liquido resultante alcanza una temperatura mayor a los 0 C. Entonces para el segundo elemento Bloque, que representa al hielo en el intervalo de temperatura -4 C a 0 C y que llamaremos @emph{HieloA}, tenemos: @sp 1 @table @strong @item Nombre HieloA @item m 95 @@ g @item c 2090 @item Ti -4 @@ C @item Tf 0 @@ C @end table @sp 1 Ahora para el elemento Cambio de fase solido-liquido, que representa la fusi@'on del hielo y que llamaremos @emph{HieloB}, tenemos: @sp 1 @table @strong @item Nombre HieloB @item m 95 @@ g @item cf 79.7 @@ cal/g @item Sentido > @end table @sp 1 Y para el segundo elemento liquido, que representa el agua liquida obtenida al derretirse el hielo y que llamaremos @emph{HieloC}, tenemos: @sp 1 @table @strong @item Nombre HieloC @item m 95 @@ g @item c 4187 @item Ti 0 @@ C @item Tf Tf @@ C @end table @sp 1 Ahora para el elemento Proceso, que representa el cambio total sufrido por el agua del hielo y que llamaremos @emph{Hielo}, tenemos: @sp 1 @table @strong @item Nombre Hielo @item Objeto 1 HieloA @item Objeto 2 HieloB @item Objeto 3 HieloC @item Objeto 4 0 @item Objeto 5 0 @end table @sp 1 Obs@'ervese que la temperatura final es la misma inc@'ognita en todos los elementos, tal y como debe ser. Por @'ultimo, para el elemento Calor@'{@dotless{i}}metro: @sp 1 @table @strong @item Objeto 1 Cobre @item Objeto 2 Agua @item Objeto 3 Hielo @item Objeto 4 0 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Tf = -1.154 C ; Estado = success. Verifique que la temperatura calculada este dentro del rango esperado. Si no es asi, algun proceso o cambio indicado, nunca se lleva a cabo debido a que la energ@'ia no es suficiente. @end example El mensaje de advertencia nos dice que debemos verificar que la temperatura este dentro del rango esperado. Obviamente la temperatura final obtenida no esta dentro del rango esperado, puesto que asumimos que el hielo se derret@'{@dotless{i}}a completamente y que el agua liquida resultante adquir@'{@dotless{i}}a una temperatura final superior a 0 C. Esto indica (como nos dice el mensaje de advertencia) que alg@'un proceso no se lleva a cabo. La posibilidad inmediata es que la energ@'{@dotless{i}}a del calor@'{@dotless{i}}metro y del agua, no sea suficiente para derretir todo el hielo. As@'{@dotless{i}} que vamos a asumir que el hielo si alcanza los 0 C, pero que solo parte de este se derrite. Eliminamos por tanto el elemento Liquido, que representa el agua obtenida del hielo, y borramos tambi@'en su nombre del elemento Proceso. La temperatura final ya no es entonces una inc@'ognita, porque si solo parte del hielo se derrite, entonces la temperatura final es 0 C. La nueva inc@'ognita es la masa de hielo que se funde. As@'{@dotless{i}}, los elementos de la nueva hip@'otesis quedan como muestra la siguiente imagen: @center @image{cal-e12-2, 4cm} Eliminamos el nombre @emph{HieloC} del elemento Proceso: @sp 1 @table @strong @item Nombre Hielo @item Objeto 1 HieloA @item Objeto 2 HieloB @item Objeto 3 0 @item Objeto 4 0 @item Objeto 5 0 @end table @sp 1 En el elemento Cambio de fase solido-liquido, la masa es ahora una inc@'ognita (dejamos el factor de conversi@'on de gramos): @sp 1 @table @strong @item Nombre HieloB @item m m @@ g @item cf 79.7 @@ cal/g @item Sentido > @end table @sp 1 Y en los elementos que representan al cobre y al agua del calor@'{@dotless{i}}metro, la temperatura final es ahora 0 C: @sp 1 @table @strong @item Nombre Cobre @item m 105 @@ g @item c 390 @item Ti 23 @@ C @item Tf 0 @@ C @end table @sp 2 @table @strong @item Nombre Agua @item m 307 @@ g @item c 4187 @item Ti 23 @@ C @item Tf 0 @@ C @end table @sp 1 Replanteado el problema, damos un clic en el icono de Resolver para obtener la respuesta: @example m = 89.037 g ; Estado = success. @end example Por lo tanto, la temperatura final es de 0 C, derriti@'endose @'unicamente 89 g de hielo. @page @node Ejemplo 13 (cal), , Ejemplo 12 (cal), Ejemplos calorimetria @section Ejemplo 13 @cindex Ejemplo 13 (cal) Un cierto aceite (calor especifico de 0.51 cal/g*K) se enfr@'{@dotless{i}}a en un intercambiador de calor. Si el aceite, que fluye a 3 L/min, entra al intercambiador con una temperatura de 72 C y sale del mismo a una temperatura de 27 C, @questiondown{}A que gasto fluye el agua, utilizada como refrigerante (calor especifico de 4187 J/kg*K), si esta entra a una temperatura de 20 C y sale a una temperatura de 63 C? De la respuesta en L/min. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Calorimetr@'{@dotless{i}}a y gases. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. 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Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos estatica rigida, Dinamica, Estatica rigida, Top @chapter Ejemplos de est@'atica r@'{@dotless{i}}gida @cindex Ejemplos de est@'atica r@'{@dotless{i}}gida @menu * Ejemplo 1 (er):: * Ejemplo 2 (er):: * Ejemplo 3 (er):: * Ejemplo 4 (er):: * Ejemplo 5 (er):: * Ejemplo 6 (er):: * Ejemplo 7 (er):: * Ejemplo 8 (er):: * Ejemplo 9 (er):: * Ejemplo 10 (er):: * Ejemplo 11 (er):: * Ejemplo 12 (er):: * Ejemplo 13 (er):: @end menu @node Ejemplo 1 (er), Ejemplo 2 (er), Ejemplos estatica rigida, Ejemplos estatica rigida @section Ejemplo 1 @cindex Ejemplo 1 (er) Cual es la resultante, en el punto A, de las fuerzas aplicadas a la placa de la imagen. @center @image{sr-e1-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos el sistema de unidades SI. Y ahora agregamos a la Pizarra un elemento Puntos, cuatro elementos Punto, un elemento Resultante y los elementos Fuerza necesarios, como muestra la siguiente imagen: @center @image{sr-e1-2, 7cm} Para el elemento Puntos, que define la placa, tenemos: @sp 1 @table @strong @item Nombre Placa @end table @sp 1 Para el punto que representa la esquina A, y que suponemos esta en el origen del sistema coordenado, tenemos: @sp 1 @table @strong @item Nombre Placa @item x 0 @item y 0 @end table @sp 1 Para el punto que representa la esquina B, tenemos: @sp 1 @table @strong @item Nombre Placa @item x 30 @@ cm @item y 20 @@ cm @end table @sp 1 Y para la fuerza aplicada a dicha esquina: @sp 1 @table @strong @item f 20 @end table @sp 1 Para el punto que representa la esquina C, tenemos: @sp 1 @table @strong @item Nombre Placa @item x 75 @@ cm @item y 20 @@ cm @end table @sp 1 Y para la fuerza aplicada: @sp 1 @table @strong @item f 30 @item ang 55 @end table @sp 1 Para la esquina D: @sp 1 @table @strong @item Nombre Placa @item x 45 @@ mm @item y 0 @end table @sp 1 Y para la fuerza: @sp 1 @table @strong @item f 17 @item ang 40 @end table @sp 1 Por @'ultimo, para el elemento Resultante: @sp 1 @table @strong @item M Mr @item f Fr @item ang angr @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener el resultado: @example Mr = -2.296 N*m ; Fr = 33.906 N ; angr = 277.089 grados ; Estado = success. @end example @page @node Ejemplo 2 (er), Ejemplo 3 (er), Ejemplo 1 (er), Ejemplos estatica rigida @section Ejemplo 2 @cindex Ejemplo 2 (er) Cual es la resultante, en el punto O, de la fuerza aplicada en el extremo de la barra (despreciando el peso de la barra). @center @image{sr-e2-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos el sistema de unidades Ingl@'es. Y ahora agregamos a la Pizarra un elemento Sistema de referencia fijo, un elemento Viga, dos elementos de Viga, un elemento Fuerza y un elemento Resultante con fuerza vertical: @center @image{sr-e2-2, 6cm} El elemento Sistema de referencia fijo, establece por defecto el valor de la gravedad: @sp 1 @table @strong @item g 32.2 @end table @sp 1 Para el elemento viga, que representa la barra, tenemos: @sp 1 @table @strong @item Nombre Barra @item m 0 @item lc 0 @item ang 55 @end table @sp 1 Aqu@'{@dotless{i}} ponemos la masa de la barra a 0, puesto que el peso de la barra debe despreciarse. Para el elemento de viga que representa el extremo inferior, tenemos: @sp 1 @table @strong @item Nombre Barra @item l 0 @end table @sp 1 Y para el elemento resultante aplicado a este: @sp 1 @table @strong @item M Mr @item f Fr @end table @sp 1 Para el otro elemento de viga que representa el extremo superior, tenemos: @sp 1 @table @strong @item Nombre Barra @item l 27 @@ in @end table @sp 1 Y para la fuerza aplicada a este: @sp 1 @table @strong @item f 85 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Mr = -109.696 lb*ft ; Fr = -85.000 lb ; Estado = success. @end example @page @node Ejemplo 3 (er), Ejemplo 4 (er), Ejemplo 2 (er), Ejemplos estatica rigida @section Ejemplo 3 @cindex Ejemplo 3 (er) Si se desea remplazar las dos fuerzas de 175 N y la fuerza de 380 N, con una sola fuerza aplicada en el punto P como muestra la imagen, @questiondown{}Cual debe ser la distancia del punto P al punto O y la magnitud de dicha fuerza? (La viga y el tambor forman un cuerpo r@'{@dotless{i}}gido). @center @image{sr-e3-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Este problema puede resolverse de diferentes formas, aqu@'{@dotless{i}} lo resolveremos de la siguiente manera. Primero agregamos a la Pizarra un elemento Puntos, tres elementos Punto y los elementos fuerza y resultante necesarios, tal y como muestra la imagen. Nuestra intenci@'on inicial es calcular el par aplicado en el punto O debido a las dos fuerzas de 175 N. @center @image{sr-e3-2, 4cm} Al elemento Puntos, que representa los diferentes puntos del tambor, lo llamaremos @emph{Tambor}: @sp 1 @table @strong @item Nombre Tambor @end table @sp 1 Para el elemento Punto del centro, que representa el punto O, asumimos que esta en el origen del sistema coordenado: @sp 1 @table @strong @item Nombre Tambor @item x 0 @item y 0 @end table @sp 1 Y para la resultante aplicada a el: @sp 1 @table @strong @item M Mr @item f Fr @end table @sp 1 Ahora para el elemento punto de la parte superior, tenemos: @sp 1 @table @strong @item Nombre Tambor @item x 0 @item y 45 @@ mm @end table @sp 1 Y para el de la parte inferior: @sp 1 @table @strong @item Nombre Tambor @item x 0 @item y -45 @@ mm @end table @sp 1 Y para los elementos fuerza aplicados a cada uno de estos: @sp 1 @table @strong @item f 175 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Mr = -15.750 N*m ; Fr = 0.000 N ; Estado = success. @end example Ahora que conocemos el valor de dicho par, borramos el contenido de la pizarra y agregamos los elementos necesarios para plantear el problema, como lo muestra la imagen: @center @image{sr-e3-3, 6cm} El elemento Sistema de referencia fijo agrega por defecto el valor de la gravedad. Para el elemento Viga, que llamaremos justamente @emph{Viga}, tenemos: @sp 1 @table @strong @item Nombre Viga @item m 0 @item lc 0 @item ang 60 @end table @sp 1 Aqu@'{@dotless{i}} despreciamos el peso de la viga. Para el elemento de viga del extremo inferior y para el par aplicado a el (el valor calculado previamente), tenemos: @sp 1 @table @strong @item Nombre Viga @item l 0 @end table @sp 2 @table @strong @item M -15.750 @end table @sp 1 Ahora para el elemento de viga donde esta aplicada la otra fuerza, y para esta fuerza, tenemos: @sp 1 @table @strong @item Nombre Viga @item l 28 @@ cm @end table @sp 2 @table @strong @item f 380 @end table @sp 1 Por @'ultimo, para el elemento de viga que representa el punto P: @sp 1 @table @strong @item Nombre Viga @item l d @end table @sp 1 Aqu@'{@dotless{i}} la distancia del punto P al punto O, es una inc@'ognita. Y para la resultante aplicada a el: @sp 1 @table @strong @item M 0 @item f Fr @end table @sp 1 El momento resultante es 0, puesto que solamente queremos una fuerza, la cual es una inc@'ognita. Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example d = 0.363 m ; Fr = -380.000 N ; Estado = success. @end example @page @node Ejemplo 4 (er), Ejemplo 5 (er), Ejemplo 3 (er), Ejemplos estatica rigida @section Ejemplo 4 @cindex Ejemplo 4 (er) Calcule la resultante, en el extremo O, de la fuerzas aplicadas. @center @image{sr-e4-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento Viga, tres elementos de viga, y las fuerzas y resultantes necesarias como muestra la imagen: @center @image{sr-e4-2, 6cm} El valor de la gravedad es agregado por defecto. Ahora para el elemento Viga, que llamaremos @emph{Viga}, tenemos: @sp 1 @table @strong @item Nombre Viga @item m 0 @item lc 0 @item ang 55 @end table @sp 1 Para el elemento de viga que representa el extremo inferior, y para la resultante aplicada a el, tenemos: @sp 1 @table @strong @item Nombre Viga @item l 0 @end table @sp 2 @table @strong @item M Mr @item f Fr @item ang angr @end table @sp 1 Para este @'ultimo elemento, todos los datos son inc@'ognitas. Ahora para el elemento de viga que representa el punto A, y para la fuerza aplicada a el, tenemos: @sp 1 @table @strong @item Nombre Viga @item l 62 @@ cm @end table @sp 2 @table @strong @item f 50 @item ang 15 @end table @sp 1 Por @'ultimo, para el elemento que representa el punto B y para la fuerza aplicada a el: @sp 1 @table @strong @item Nombre Viga @item l 90 @@ cm @end table @sp 2 @table @strong @item f 50 @item ang 15 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Mr = -8.999 N*m ; Fr = 0.000 N ; angr = 208.262 grados ; Estado = success. @end example Como era de esperarse, la resultante consiste @'unicamente de un par. El dato del @'angulo aqu@'{@dotless{i}} dado es irrelevante. @page @node Ejemplo 5 (er), Ejemplo 6 (er), Ejemplo 4 (er), Ejemplos estatica rigida @section Ejemplo 5 @cindex Ejemplo 5 (er) Calcule las reacciones en los apoyos, sabiendo que la viga tiene una masa de 4 kg y una longitud de 2.1 m. @center @image{sr-e5-1, 8cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento Viga, seis elementos de viga y los elementos fuerza necesarios como muestra la imagen: @center @image{sr-e5-2, 8cm} El elemento Sistema de referencia fijo establece el valor de la gravedad por defecto. Para el elemento Viga, que llamamos @emph{Viga} y que suponemos tiene su centro de masa a la mitad, tenemos: @sp 1 @table @strong @item Nombre Viga @item m 4 @item lc 1.05 @item ang 0 @end table @sp 1 Ahora para los elementos de viga y sus respectivas fuerzas, de izquierda a derecha, tenemos: @sp 1 @table @strong @item Nombre Viga @item l 12 @@ cm @end table @sp 2 @table @strong @item f 30 @end table @sp 1 Para el elemento a 40 cm del extremo izquierdo, llamando RA a la reacci@'on: @sp 1 @table @strong @item Nombre Viga @item l 40 @@ cm @end table @sp 2 @table @strong @item f RA @end table @sp 1 A 85 cm del extremo izquierdo: @sp 1 @table @strong @item Nombre Viga @item l 85 @@ cm @end table @sp 2 @table @strong @item f 24 @end table @sp 1 A 110 cm: @sp 1 @table @strong @item Nombre Viga @item l 110 @@ cm @end table @sp 2 @table @strong @item f 45 @end table @sp 1 A 160 cm, llamando RB a la reacci@'on: @sp 1 @table @strong @item Nombre Viga @item l 160 @@ cm @end table @sp 2 @table @strong @item f RB @end table @sp 1 Y a 195 cm, el @'ultimo elemento: @sp 1 @table @strong @item Nombre Viga @item l 195 @@ cm @end table @sp 2 @table @strong @item f 33 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example RB = 92.130 N ; RA = 79.110 N ; Estado = success. @end example @page @node Ejemplo 6 (er), Ejemplo 7 (er), Ejemplo 5 (er), Ejemplos estatica rigida @section Ejemplo 6 @cindex Ejemplo 6 (er) Si la tensi@'on en el cable BC es de 155 N, @questiondown{}Cuales son las reacciones en A? (La masa de la viga es de 3 kg y su centro de masa se encuentra a 75 cm de A). @center @image{sr-e6-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento Viga, tres elementos de viga y los elementos fuerza y par necesarios como muestra la imagen: @center @image{sr-e6-2, 6cm} El elemento Sistema de referencia fijo establece por defecto el valor de la gravedad. Entonces para el elemento viga tenemos: @sp 1 @table @strong @item Nombre Viga @item m 3 @item lc 75 @@ cm @item ang 0 @end table @sp 1 Para el elemento de viga que representa el extremo A, tenemos: @sp 1 @table @strong @item Nombre Viga @item l 0 @end table @sp 1 Y para las fuerzas y el par aplicados, todos ellos inc@'ognitas, tenemos: @sp 1 @table @strong @item f Ry @end table @sp 2 @table @strong @item f Rx @end table @sp 2 @table @strong @item M M @end table @sp 1 Para el elemento donde esta colgada la masa tenemos: @sp 1 @table @strong @item Nombre Viga @item l 0.9 @end table @sp 1 Y para la fuerza aplicada por la masa (18 kg*9.81 m/s2 = 176.58 N), tenemos: @sp 1 @table @strong @item f 176.58 @end table @sp 1 Para el elemento que representa el extremo derecho: @sp 1 @table @strong @item Nombre Viga @item l 1.3 @end table @sp 1 Y la fuerza aplicada por el cable: @sp 1 @table @strong @item f 155 @item ang 35 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Ry = 117.106 N ; Rx = 126.969 N ; M = 65.419 N*m ; Estado = success. @end example @page @node Ejemplo 7 (er), Ejemplo 8 (er), Ejemplo 6 (er), Ejemplos estatica rigida @section Ejemplo 7 @cindex Ejemplo 7 (er) @questiondown{}Cual es la m@'axima fuerza F que puede aplicarse sin que se voltee la pieza? (La masa de la pieza es de 3.5 kg y el centro de masa esta indicado por el punto a 18 cm). @center @image{sr-e7-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento S@'olido, dos elementos de s@'olido y los elementos fuerza necesarios, tal y como muestra la siguiente imagen: @center @image{sr-e7-2, 5cm} El elemento Sistema de referencia fijo agrega el valor de la gravedad por defecto. Para el elemento S@'olido, que llamaremos @emph{Pieza}, tenemos entonces: @sp 1 @table @strong @item Nombre Pieza @item m 3.5 @item xc 18 @@ cm @item yc 0 @item ang 0 @end table @sp 1 Para el elemento de s@'olido que representa la esquina donde esta aplicada la fuerza F, tenemos: @sp 1 @table @strong @item Nombre Pieza @item x 50 @@ cm @item y 0 @end table @sp 1 Y para la fuerza aplicada en dicha esquina, que es una inc@'ognita: @sp 1 @table @strong @item f F @end table @sp 1 El otro elemento de s@'olido representa la esquina derecha de la base, ya que en el momento en que la pieza esta a punto de voltear, es en dicha esquina donde se aplica la normal. Por lo tanto, tenemos: @sp 1 @table @strong @item Nombre Pieza @item x 25 @@ cm @item y 0 @end table @sp 1 Y para la fuerza aplicada, que corresponde a la normal y que es una inc@'ognita: @sp 1 @table @strong @item f N @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example N = 43.949 N ; F = 9.614 N ; Estado = success. @end example @page @node Ejemplo 8 (er), Ejemplo 9 (er), Ejemplo 7 (er), Ejemplos estatica rigida @section Ejemplo 8 @cindex Ejemplo 8 (er) Un bloque uniforme de 4 kg, como el de la imagen, se encuentra en un plano inclinado. @questiondown{}Cual es el @'angulo m@'aximo de inclinaci@'on del plano, de tal forma que el bloque no resbale o voltee (lo que ocurra primero)? (El coeficiente de fricci@'on entre el bloque y el plano es de 0.4). @center @image{sr-e8-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Agregamos entonces un elemento Sistema de referencia fijo, un elemento S@'olido, un elemento de s@'olido, un elemento fuerza y uno de fricci@'on, y un elemento @'Angulos, tal y como muestra la siguiente imagen: @center @image{sr-e8-2, 5cm} Nuestra intenci@'on al introducir una fuerza de fricci@'on, es determinar a que @'angulo es inminente el deslizamiento del bloque. As@'{@dotless{i}}, el elemento de bloque representa el punto donde esta aplicada la normal y aqu@'{@dotless{i}} mismo aplicamos la fuerza de fricci@'on (ya que es v@'alido mover una fuerza a lo largo de su linea de acci@'on). El sistema de referencia fijo pone el valor de la gravedad por defecto. En el elemento S@'olido colocamos el dato de la masa y el del centro de masa, tomando como origen del sistema la esquina inferior izquierda del bloque (esto simplifica la interpretaci@'on del resultado). Llamando a este s@'olido @emph{Bloque}, tenemos entonces: @sp 1 @table @strong @item Nombre Bloque @item m 4 @item xc 8 @@ cm @item yc 18 @@ cm @item ang ang1 @end table @sp 1 Para el elemento de s@'olido que representa el punto inferior del bloque donde esta aplicada la normal y la fricci@'on, tenemos: @sp 1 @table @strong @item Nombre Bloque @item x x @@ cm @item y 0 @end table @sp 1 Esta claro que la coordenada X de este elemento es una inc@'ognita. Ahora para la fuerza que representa la normal: @sp 1 @table @strong @item f normal @item ang ang2 @end table @sp 1 Para la fuerza de fricci@'on: @sp 1 @table @strong @item Normal normal @item ang ang1 @item u 0.4 @end table @sp 1 Aqu@'{@dotless{i}} usamos @emph{ang1} como @'angulo ya que la fuerza de fricci@'on es paralela al plano donde se encuentra el bloque. Por @'ultimo, debemos relacionar el @'angulo del plano inclinado con el @'angulo de la normal, ya que estos @'angulos deben ser complementarios: @sp 1 @table @strong @item ang1 ang1 @item ang2 ang2 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example normal = 36.433 N ; ang1 = 21.801 grados ; ang2 = 68.199 grados ; x = 0.800 cm ; Estado = success. @end example Entonces, el @'angulo al que ocurre el deslizamiento inminente es 21.801 grados (tal y como se esperaba puesto que @code{arctan 0.4 = 21.801}). Notamos tambi@'en que la normal esta a 0.8 cm a la derecha de la esquina inferior izquierda. Es claro que el volteo ser@'{@dotless{i}}a inminente si x = 0, y si x fuera negativo indicar@'{@dotless{i}}a que el bloque ya habr@'{@dotless{i}}a volteado antes de alcanzar los 21.801 grados de inclinaci@'on. Como conclusi@'on, lo que sucede primero es el deslizamiento del bloque. @page @node Ejemplo 9 (er), Ejemplo 10 (er), Ejemplo 8 (er), Ejemplos estatica rigida @section Ejemplo 9 @cindex Ejemplo 9 (er) Una escalera uniforme, de 3.5 kg y 3.8 m de longitud, se encuentra apoyada en una pared como muestra la imagen. Si un niño, con una masa de 40 kg, sube hasta el cuarto escal@'on a 3.2 m de la base, encuentre el @'angulo para el cual esa posici@'on corresponde al deslizamiento inminente si el coeficiente de fricci@'on entre la escalera y el piso es de 0.35 (no hay fricci@'on entre la escalera y la pared). @center @image{sr-e9-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento Viga, tres elementos de viga y los elementos fuerza y fricci@'on necesarios, tal y como muestra la siguiente imagen: @center @image{sr-e9-2, 8cm} El elemento Sistema de referencia fijo agrega el valor de la gravedad por defecto. Para el elemento viga, que llamaremos @emph{Escalera} tenemos, recordando que la escalera es uniforme y que el @'angulo es una inc@'ognita: @sp 1 @table @strong @item Nombre Escalera @item m 3.5 @item lc 1.9 @item ang ang @end table @sp 1 Para el elemento de viga que corresponde al extremo inferior, tenemos: @sp 1 @table @strong @item Nombre Escalera @item l 0 @end table @sp 1 Para la fuerza que act@'ua como normal y para la fricci@'on: @sp 1 @table @strong @item f N @end table @sp 2 @table @strong @item Normal N @item u 0.35 @end table @sp 1 Ahora para el elemento que representa la posici@'on donde esta apoyado el niño tenemos: @sp 1 @table @strong @item Nombre Escalera @item l 3.2 @end table @sp 1 Y para la fuerza que representa el peso de la persona (40 kg*9.81 m/s2 = 392.4 N): @sp 1 @table @strong @item f 392.4 @end table @sp 1 Por @'ultimo, para el elemento que representa el extremo apoyado en la pared: @sp 1 @table @strong @item Nombre Escalera @item l 3.8 @end table @sp 1 Y para la fuerza que corresponde a la reacci@'on: @sp 1 @table @strong @item f Rx @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Rx = 149.357 N ; ang = 66.748 grados ; N = 426.735 N ; Estado = success. @end example @page @node Ejemplo 10 (er), Ejemplo 11 (er), Ejemplo 9 (er), Ejemplos estatica rigida @section Ejemplo 10 @cindex Ejemplo 10 (er) Considere la estructura en la imagen de abajo. Calcule las reacciones en O y las reacciones entre las vigas en los puntos A, B y C. Desprecie el peso de las vigas. @center @image{sr-e10-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, tres elementos Viga, siete elementos de viga y los elementos fuerza y momento necesarios, tal y como muestra la siguiente imagen (las lineas amarillas separan las @'areas donde se definen las vigas de la estructura): @center @image{sr-e10-2, 9cm} En la imagen puede observarse como, de acuerdo a la tercera ley de Newton, las reacciones entre las vigas tienen diferente sentido. Y deberemos asignarles la misma magnitud o inc@'ognita. El sistema de referencia fijo agrega el valor de la gravedad por defecto. Para el elemento Viga que representa la viga vertical de apoyo y que llamaremos @emph{OAB}, tenemos: @sp 1 @table @strong @item Nombre OAB @item m 0 @item lc 0 @item ang 90 @end table @sp 1 Esta viga se compone de tres elemento, los cuales representan los puntos O, A y B. Para el elemento en O, y sus respectivas reacciones, llamadas Rx, Ry, M, tenemos: @sp 1 @table @strong @item Nombre OAB @item l 0 @end table @sp 2 @table @strong @item f Rx @end table @sp 2 @table @strong @item f Ry @end table @sp 2 @table @strong @item M M @end table @sp 1 Para el elemento en A y sus respectivas reacciones, RAx y RAy, tenemos: @sp 1 @table @strong @item Nombre OAB @item l 1.8 @end table @sp 2 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 Para el elemento en B y sus respectivas reacciones, RBx y RBy, tenemos: @sp 1 @table @strong @item Nombre OAB @item l 2.5 @end table @sp 2 @table @strong @item f RBx @end table @table @strong @sp 2 @item f RBy @end table @sp 1 Ahora para el elemento Viga que representa la viga horizontal, y que llamaremos @emph{AC}, tenemos: @sp 1 @table @strong @item Nombre AC @item m 0 @item lc 0 @item ang 0 @end table @sp 1 Para el elemento de viga que representa el extremo en A de esta viga, y para sus respectivas reacciones, tenemos: @sp 1 @table @strong @item Nombre AC @item l 0 @end table @sp 2 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 Para el elemento del extremo en C, para las reacciones RCx, RCy y para el peso de la masa de 50 kg (@code{50 kg*9.81 m/s2 = 490.500 N}), tenemos: @sp 1 @table @strong @item Nombre AC @item l 1.3 @end table @sp 2 @table @strong @item f RCx @end table @sp 2 @table @strong @item f RCy @end table @sp 2 @table @strong @item f 490.500 @end table @sp 1 Ahora para el elemento Viga que representa la viga inclinada de B a C, llam@'andola @emph{BC}, tenemos (aqu@'{@dotless{i}} el @'angulo se ingresa como una pendiente -0.7/1.3): @sp 1 @table @strong @item Nombre BC @item m 0 @item lc 0 @item ang -28.301 @end table @sp 1 Para el elemento en B y para las reacciones aplicadas, tenemos: @sp 1 @table @strong @item Nombre BC @item l 0 @end table @sp 2 @table @strong @item f RBx @end table @sp 2 @table @strong @item f RBy @end table @sp 1 Para el elemento en C debemos calcular la distancia entre B y C, la cual se puede obtener con @code{hypot(0.7,1.3)}. As@'{@dotless{i}}, tenemos: @sp 1 @table @strong @item Nombre BC @item l 1.476 @end table @sp 1 Y para las reacciones aplicadas, RCx y RCy (no agregamos el peso de la caja de 50 kg, porque ya fue agregada en la viga AC): @sp 1 @table @strong @item f RCx @end table @sp 2 @table @strong @item f RCy @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example RAx = 910.919 N ; RAy = -0.000 N ; RCy = 490.500 N ; RCx = 910.919 N ; RBx = 910.919 N ; RBy = 490.500 N ; M = 637.643 N*m ; Ry = 490.500 N ; Rx = 0.000 N ; Estado = success. @end example @strong{Nota:} @emph{Otra forma m@'as f@'acil de plantear este mismo problema es notar que la viga BC es un elemento sometido a dos fuerzas. Por lo tanto podemos aplicar directamente dos elementos Viga de 2 fuerzas como se muestra en la imagen de abajo. Esto nos evita tener que calcular la longitud de la viga BC. Obs@'ervese que la viga AC tambi@'en es un elemento sometido a dos fuerzas, aunque no hubiera sido posible remplazar las dos vigas por elementos Viga de 2 fuerzas. Como se ve, todo es cuesti@'on de decidir que es m@'as conveniente para el problema a resolver.} @center @image{sr-e10-3, 9cm} @page @node Ejemplo 11 (er), Ejemplo 12 (er), Ejemplo 10 (er), Ejemplos estatica rigida @section Ejemplo 11 @cindex Ejemplo 11 (er) Un bloque uniforme de 25 kg y 50 cm de arista, como el de la imagen, se encuentra en un plano inclinado 20 grados. Si se desea subir el bloque por la rampa a la mayor velocidad posible (velocidad constante) mediante la fuerza horizontal F @questiondown{}Cual es el m@'aximo coeficiente de fricci@'on permitido? @questiondown{}Cual es la fuerza a la que corresponde la mayor velocidad? @center @image{sr-e11-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Est@'atica y, dentro de este, el m@'odulo Est@'atica S@'olida. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades SI. Ahora agregamos un elemento Sistema de referencia fijo, un elemento S@'olido, dos elementos de s@'olido y los elementos fuerza y fricci@'on necesarios, tal y como muestra la siguiente imagen: @center @image{sr-e11-2, 6cm} El elemento Sistema de referencia fijo establece el valor de la gravedad por defecto. Para el elemento S@'olido, que representa el bloque y que llamamos @emph{Bloque}, tenemos: @sp 1 @table @strong @item Nombre Bloque @item m 25 @item xc 25 @@ cm @item yc 25 @@ cm @item ang 20 @end table @sp 1 Para el elemento que representa la esquina superior donde esta aplicada la fuerza F, tenemos: @sp 1 @table @strong @item Nombre Bloque @item x 0 @item y 50 @@ cm @end table @sp 1 Y para la fuerza horizontal: @sp 1 @table @strong @item f F @end table @sp 1 Ahora en el elemento que representa la esquina inferior derecha, esta aplicada tanto la normal como la fuerza de fricci@'on. La normal debe estar aplicada aqu@'{@dotless{i}}, puesto que la mayor velocidad posible corresponde con el volteo inminente (una fuerza un poco mayor y el bloque voltea). Tenemos entonces: @sp 1 @table @strong @item Nombre Bloque @item x 50 @@ cm @item y 0 @end table @sp 1 Para la fuerza que representa la normal: @sp 1 @table @strong @item f N @item ang 70 @end table @sp 1 Y para la fricci@'on: @sp 1 @table @strong @item Normal N @item ang 20 @item u u @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example F = 262.970 N ; N = 320.401 N ; u = 0.509 ad ; Estado = success. @end example @page @node Ejemplo 12 (er), Ejemplo 13 (er), Ejemplo 11 (er), Ejemplos estatica rigida @section Ejemplo 12 @cindex Ejemplo 12 (er) En la estructura mostrada en la imagen, y tomando en cuenta que todas las uniones son uniones con pasador (no hay momentos aplicados), calcule todas las reacciones. Desprecie el peso de las vigas. @center @image{sr-e12-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Observando que las vigas CF y BE son elementos sometidos a dos fuerzas, construimos el problema usando dos elementos viga y agregando los elementos fuerza y Viga de 2 fuerzas necesarios, tal y como se muestra en la siguiente imagen: @center @image{sr-e12-2, 7cm} El elemento Sistema de referencia fijo establece el valor de la gravedad por defecto. Para el elemento Viga que representa la viga a la izquierda de la estructura, y que llamaremos ABC, tenemos: @sp 1 @table @strong @item Nombre ABC @item m 0 @item lc 0 @item ang 90 @end table @sp 1 Esta viga se compone de tres elementos. Para el primero de ellos, el extremo A, tenemos: @sp 1 @table @strong @item Nombre ABC @item l 0 @end table @sp 1 Y para sus respectivas fuerzas, ambas inc@'ognitas, tenemos: @sp 1 @table @strong @item f RAx @end table @sp 2 @table @strong @item f RAy @end table @sp 1 Para el siguiente elemento, que corresponde al nudo B, tenemos: @sp 1 @table @strong @item Nombre ABC @item l 22 @@ cm @end table @sp 1 Y para el elemento Viga de 2 fuerzas, que corresponde a la viga BE, he ingresando el @'angulo como una pendiente 22/50, tenemos: @sp 1 @table @strong @item f BE @item ang 23.749 @end table @sp 1 Y para el tercer elemento, que corresponde al extremo C: @sp 1 @table @strong @item Nombre ABC @item l 95 @@ cm @end table @sp 1 Para elemento fuerza que representa la fuerza externa de 450N: @sp 1 @table @strong @item f 450 @end table @sp 1 Y para el elemento Viga de 2 fuerzas, que corresponde a la viga CF, tenemos (aqu@'{@dotless{i}} el @'angulo tambi@'en se introduce como una pendiente 23/50): @sp 1 @table @strong @item f CF @item ang 24.702 @end table @sp 1 Para el otro elemento Viga, que corresponde a la viga DEF: @sp 1 @table @strong @item Nombre DEF @item m 0 @item lc 0 @item ang 90 @end table @sp 1 Y para el primer elemento de esta viga, el que corresponde al extrema D, tenemos: @sp 1 @table @strong @item Nombre DEF @item l 0 @end table @sp 1 Y para los elementos fuerza que corresponden a las respectivas reacciones: @sp 1 @table @strong @item f RDy @end table @sp 2 @table @strong @item f RDx @end table @sp 1 Para el elemento que corresponde al nudo E: @sp 1 @table @strong @item Nombre DEF @item l 44 @@ cm @end table @sp 1 Y para el elemento Viga de 2 fuerzas, que corresponde a la viga BE (el @'angulo es la pendiente 22/50): @sp 1 @table @strong @item f BE @item ang 23.749 @end table @sp 1 Y para el @'ultimo elemento, el extremo F, tenemos: @sp 1 @table @strong @item Nombre DEF @item l 72 @@ cm @end table @sp 1 Y para el elemento Viga de 2 fuerzas, que corresponde a la viga CF (el @'angulo es la pendiente 23/50): @sp 1 @table @strong @item f CF @item ang 24.702 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example RDy = 854.981 N ; RDx = -461.094 N ; BE = -1295.364 N [tensi@'on] ; CF = 797.558 N [compresi@'on] ; RAy = -854.981 N ; RAx = 911.094 N ; Estado = success. @end example La reacci@'on vertical en A y la reacci@'on horizontal en D son negativas, indicando esto que el sentido es contrario al que supusimos inicialmente. @page @node Ejemplo 13 (er), , Ejemplo 12 (er), Ejemplos estatica rigida @section Ejemplo 13 @cindex Ejemplo 13 (er) En la armadura de la imagen, encontrar las reacciones en los apoyos y las fuerzas internas en todas las vigas bajo las condiciones de carga mostradas. @center @image{sr-e13-1, 9cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo, y seleccionamos el sistema de unidades Ingl@'es. Agregamos un elemento Armadura, ocho elementos Nudo de armadura, cinco elementos Fuerza que corresponder@'an con las fuerzas de carga, otro tres elementos Fuerza que representaran las reacciones en los apoyos (observe que en el apoyo A los rodos solamente aplican una fuerza vertical), y 26 elementos Viga de armadura para construir el esquema del problema tal y como se muestra la siguiente imagen: @center @image{sr-e13-2, 9cm} Al elemento Armadura debemos asignarle un nombre. Para este ejemplo utilizamos AH: @sp 1 @table @strong @item Nombre AH @end table @sp 1 Todos los elementos Nudo de armadura pertenecer@'an a esta armadura. Por lo tanto, es el nombre de esta armadura el que deberemos asignarle a cada uno de ellos: @sp 1 @table @strong @item Armadura AH @end table @sp 1 Para los dos elementos Viga de armadura que representan los extremos de la viga que va del nudo A al C, y llamando AC a la fuerza interna de esta, tenemos: @sp 1 @table @strong @item t AC @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo A al B, y llamando AB a la fuerza interna de esta, tenemos: @sp 1 @table @strong @item t AB @item ang 36.870 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo se ha introducido como la pendiente 6/8. Dato que se obtiene de las dimensiones de la armadura. Para los dos elementos que representan los extremos de la viga que va del nudo B al C, y llamando BC a la fuerza interna de esta, tenemos: @sp 1 @table @strong @item t BC @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo B al D, y llamando BD a la fuerza interna de esta: @sp 1 @table @strong @item t BD @item ang 16.260 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo se ha introducido como la pendiente 28/96. Los 2 ft 4 in = 28 in y los 8 ft = 96 in, esto porque hay que utilizar las mismas unidades para el numerador y el denominador. Tambi@'en podr@'{@dotless{i}}a haberse ingresado la pendiente como 2.333/8, utilizando la unidad de pies. Para los dos elementos que representan los extremos de la viga que va del nudo B al E, y llamando BE a la fuerza interna de esta: @sp 1 @table @strong @item t BE @item ang 36.870 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo tambi@'en se ha introducido como la pendiente 6/8. Ahora para los dos elementos que representan los extremos de la viga que va del nudo C al E, y llamando CE a la fuerza interna de esta: @sp 1 @table @strong @item t CE @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo D al E, y llamando DE a la fuerza interna de esta: @sp 1 @table @strong @item t DE @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo D al F, y llamando DF a la fuerza interna de esta: @sp 1 @table @strong @item t DF @item ang 16.260 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo tambi@'en se ha introducido como la pendiente 28/96. Para los dos elementos que representan los extremos de la viga que va del nudo E al F, y llamando EF a la fuerza interna de esta: @sp 1 @table @strong @item t EF @item ang 36.870 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo tambi@'en se ha introducido como la pendiente 6/8. Para los dos elementos que representan los extremos de la viga que va del nudo E al G, y llamando EG a la fuerza interna de esta: @sp 1 @table @strong @item t EG @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo F al G, y llamando FG a la fuerza interna de esta: @sp 1 @table @strong @item t FG @end table @sp 1 Para los dos elementos que representan los extremos de la viga que va del nudo F al H, y llamando FH a la fuerza interna de esta: @sp 1 @table @strong @item t FH @item ang 36.870 @end table @sp 1 Aqu@'{@dotless{i}} el @'angulo tambi@'en se ha introducido como la pendiente 6/8. Para los dos elementos que representan los extremos de la viga que va del nudo G al H, y llamando GH a la fuerza interna de esta: @sp 1 @table @strong @item t GH @end table @sp 1 Ahora para la fuerza de reacci@'on en A: @sp 1 @table @strong @item f RAy @end table @sp 1 Y para las reacciones en H: @sp 1 @table @strong @item f RHy @end table @sp 2 @table @strong @item f RHx @end table @sp 1 Y para cada uno de los elementos Fuerza que representan las cargas, dos de 300 libras y tres de 600 libras, tenemos: @sp 1 @table @strong @item f 300 @end table @sp 2 @table @strong @item f 600 @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example FG = 0.000 lb [tensi@'on] ; EF = -59.993 lb [compresi@'on] ; DF = -1200.000 lb [compresi@'on] ; RAy = 1200.000 lb ; FH = -1499.996 lb [compresi@'on] ; AC = 1199.996 lb [tensi@'on] ; AB = -1499.996 lb [compresi@'on] ; GH = 1199.996 lb [tensi@'on] ; RHy = 1200.000 lb ; RHx = 0.000 lb ; BC = -0.000 lb [compresi@'on] ; CE = 1199.996 lb [tensi@'on] ; BD = -1200.000 lb [compresi@'on] ; DE = 71.992 lb [tensi@'on] ; BE = -59.993 lb [compresi@'on] ; EG = 1199.996 lb [tensi@'on] ; Estado = success. @end example trunk/Documentation/Manual/Spanish/bloque_v.png0000777000076400007640000000257012734077040021531 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڍA ~O 69TCFH>ZZ[%!4!i˚k͒W}xw-Ƥ8'$@ɧZk3:EwҜˏV 4Eq]9&\Py`uylE vpAg00WIDAThKSaװY61IAyG(!]T4!.o(~DvSiiݘUFPu'qt}_s{GCE4JנtEQ{ρF;3rv~BMI?E}A:0;-f̭(s(sAPTFP[M\5!u16AV47ar"Q#5BUqt034q!1R2B"#Qaѡ ?@´p\qERX*aDj亮z"K,8)mXZ55r2FthF9iik^E0>7'FٸI>/}%T'I}ѿ6nVehKq%ٴ7D Įr"EL6)dkj +1*Xu4a=mGxJmJh&P-eUcQSo6!f"5(>7'FٸI~/}%T'I}ѿ6nX0'[8^QUȎv$3\נ82>?Tz@v{F.کOI[,+7jꉚy!D7z`tkMb׫ZmBَ.Nus|*u}5H9*~ &:9S 1%=a*ewzU^/ȿ·I׬1nb=Q8='{{Σq\9[=gEx$l==W5sEBξ{QGR@nuZ >ξ{QGR@nuZ >/c|UA{KYLTb"9Qb'b+a8a)(wyhOJ5\ݒ&{Q{ ξ{QG9yj<(JHξ{QG9yj<(JH\k*n55:YdTDW9˚ωj\`³TdlNY112^ikO"Ѫ#D)E-1BK-hT@)>&ĴWIZTV3تvr>*;=]5-SQꦣcYULQvtv!.<֤i׻VXxL.KPaۃ?cTqjzZs݊svmTNΡAIQ_[$Ny8ޗ9W$ChV$U:0z6T1BڮM6iMتTTOj ('T*;kQW=UܑͨrL5g&דLzG{}1[*O< :ک"_lUE]Efvftkb#e+.Ϩm,hv'{W=_=N9p$D8/Ǽ<7|恢ow[eޢ|2$sčkr&kjWak¢]zUU2i}D*Us]*udCԭkyuh,秼-oeMU5;kPv23W̥o,uŵ^"%q-f:Eǡf1;$ЉToQizx44aV+sx;wa ntAp]y"YD`1Հ,L`M|L cƍ8ct[/-˲\5b\Ѳ'bO茛;F NZwO@6 ZqZCcMx*3K}zju=wH2oi\P6nWa `{uD{R[B`si댛nJ{y|9VKDYTgWGMe c[]\+㸕ң&Qր_Qtmq#Άy.l|릩 @l]i?RYcMqO 7X%=W2s[i|*ܔrU%L;-F5ۗ?TlkyM=?tm)Q>w#2""T>;-ݖ?4۟tvSS7¸> j}tsma&*z Azgvw65}p*mM"d1/ vpAg00WIDATh[lTEsvi+Z= BT*bL Lۓ/ޠbl  ( `"5*QAh$ &`bifsKofof7;cN(t=~bÆC\(ԁU~ e*oWhyd?3Ð}ߐ;^swp ;8q ߎ ɟ'ふV8yCvwtxjp@ ߛ܋Fe-p]p.iL!K8y0 oF"{@A4+3ƃ [v1HB[pWn DQD`b𻡫=^dN gMq ﰠ.zY}Gx'TfpV8DD\uäV03B"N0dv.| 087" PX'ѪhZ& f8OX{W rM0" Lx**BL/a "\cȼVPV.|JqEnfsp ! 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Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos termodinamica, GFDL, Termodinamica, Top @chapter Ejemplos termodin@'amica @cindex Ejemplos termodin@'amica @menu * Ejemplo 1 (thermo):: * Ejemplo 2 (thermo):: * Ejemplo 3 (thermo):: * Ejemplo 4 (thermo):: * Ejemplo 5 (thermo):: @end menu @node Ejemplo 1 (thermo), Ejemplo 2 (thermo), Ejemplos termodinamica, Ejemplos termodinamica @section Ejemplo 1 @cindex Ejemplo 1 (thermo) Se entregan 700 cal a un proceso termodin@'amico, mientra el sistema realiza un trabajo de 200 J. @questiondown{}Que tanto cambia la energ@'{@dotless{i}}a interna del sistema? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} El enunciado del problema no dice que tipo de proceso es. Por lo tanto, podemos suponer un proceso isob@'rico con una masa, presi@'on y temperatura inicial arbitrarias. Entonces seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso isob@'arico, un elemento Calor aplicado y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e1, 3cm} Para el proceso isob@'arico, con una masa de 1 kg, 1 pascal de presi@'on y 1 m^3 de volumen inicial, se tiene: @sp 1 @table @strong @item Nombre 0 @item m 1 @item dU U @item P 1 @item Vi 1 @item Vf Vf @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q 700 @@ cal @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W 200 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example U = 2312.080 J ; Vf = 201.000 m3; Estado = success. @end example @page @node Ejemplo 2 (thermo), Ejemplo 3 (thermo), Ejemplo 1 (thermo), Ejemplos termodinamica @section Ejemplo 2 @cindex Ejemplo 2 (thermo) Un trabajo de 200 J es realizado sobre un sistema a traves de un proceso adiab@'atico. Calcular el cambio de energ@'{@dotless{i}}a interna en calorias. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso adiab@'atico y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e2, 3cm} Para el elemento Proceso adiab@'atico, con una masa arbitraria de 1 kg, se tiene: @sp 1 @table @strong @item Nombre 0 @item m 1 @item dU U @@ cal @end table @sp 1 Ahora para el elemento Trabajo: @sp 1 @table @strong @item W -200 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example U = 47.769 cal ; Estado = success. @end example @page @node Ejemplo 3 (thermo), Ejemplo 4 (thermo), Ejemplo 2 (thermo), Ejemplos termodinamica @section Ejemplo 3 @cindex Ejemplo 3 (thermo) A una presi@'on constante de 1 atm, 1.5 g de agua (1.5 cm^3) a 100 °C se vaporiza a un volumen final de 2000 cm^3. Calcular el trabajo hecho por el sistema y el cambio de energ@'{@dotless{i}}a interna. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso isob@'arico, un elemento Calor aplicado, un elemento Trabajo y un elemento Calor de vaporizaci@'on, como muestra la siguiente imagen: @center @image{therm-e3, 3cm} Para el elemento Proceso isob@'arico se tiene: @sp 1 @table @strong @item Nombre proc @item m 1.5 @@ g @item dU U @item P 1 @@ atm @item Vi 1.5 @@ cm3 @item Vf 2000 @@ cm3 @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q Q @end table @sp 1 Para el elemento Trabajo: @sp 1 @table @strong @item W W @end table @sp 1 Y para el elemento Calor de vaporizaci@'on: @sp 1 @table @strong @item Proceso: proc @item cv: 540 @@ cal/g @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example W = 202.498 J ; U = 3188.810 J ; Q = 3391.308 J ; Estado = success @end example @page @node Ejemplo 4 (thermo), Ejemplo 5 (thermo), Ejemplo 3 (thermo), Ejemplos termodinamica @section Ejemplo 4 @cindex Ejemplo 4 (thermo) Una m@'aquina de vapor trabaja entre las temperaturas de 230 °C y 100 °C. Calcular su eficiencia ideal. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento M@'aquina t@'ermica, un elemento Calor aplicado, un elemento Calor extra@'{@dotless{i}}do y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e4, 3cm} Para el elemento M@'aquina t@'ermica tenemos: @sp 1 @table @strong @item TH 230 @@ C @item TL 100 @@ C @item e e @end table @sp 1 Para el elemento Calor aplicado establecemos cualquier cantidad arbitraria (positiva): @sp 1 @table @strong @item Q 1000 @end table @sp 1 Para el elemento Calor extra@'{@dotless{i}}do: @sp 1 @table @strong @item Q Ex @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W W @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example W = 258.372 J ; e = 25.837 % ; Ex = 741.628 J ; Estado = success. @end example @page @node Ejemplo 5 (thermo), GFDL, Ejemplo 4 (thermo), Ejemplos termodinamica @section Ejemplo 5 @cindex Ejemplo 5 (thermo) En un refrigerador con coeficiente de rendimiento de 2.18, el trabajo interno es de 680 J. Calcular la cantidad de calor (en Joules) que se extraen de la c@'amara fria y la cantidad de calor entregada el exterior. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Refrigerador, un elemento Calor aplicado, un elemento Calor extra@'{@dotless{i}}do y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e5, 3cm} Para el elemento Refrigerador, con una temperatura baja arbitraria, se tiene: @sp 1 @table @strong @item TH H @item TL 100 @@ C @item cop 2.18 @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q Q @end table @sp 1 Para el elemento Calor extra@'{@dotless{i}}do: @sp 1 @table @strong @item Q Ex @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W 680 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Ex = 1482.400 J ; H = 271.170 C ; Q = 2162.400 J ; Estado = success. @end example trunk/Documentation/Manual/Spanish/heat_engine.png0000664000076400007640000002066013646713765022174 0ustar germangermanPNG  IHDR00WlzTXtRaw profile type exifxڭgv9{c^rX9ށ碚I"Gf* 7U[r[ls֞?y>g۷7<Ͽ]NG_ۅ{= K__ӯg).4>o|0맯<YpHsC)FR^SHV˗`<T'|ʉG%y'F%鵼 {>s+_s>jxDzx˽z}r{~1eWb:)ԥߦħc-K oq6 u)A~}VO.o}w_}{.Dsʤ軌}3֫/}|/ /ro^]muceDٹe⟊Ufcf2q(Zcwq_jвkΓ[uwvM4~pM7_ZXR !Jm,޷MWr;.?~?oΙ#8'^`ʜm$ĝW ׂ|%6t\`H-?re)kVIމ@ \v/+ ܇p) =} t{{}I"7-tc~JPO!ŔjjPFA[/ĒJ.Jƚjjo/5ڱZܳGSӝw>#4(6|fiYfmWXʫmJ_wmCpO9߳o_"k53l)A[/\D9#c>:2^ +g2 Pn@$d;{G:oX)oo2gy/y&kW̛ S>^ߵ"σB-Kc=eFjt^B-&蕰B~t2-N[)=e(v #κ|4sM֩LGTJ+2A2ƕR0ӭgpь틩ٲ}i!4F{CiȗlgZؐMu yIhc~PnPIi 5ҤWdg qG퐸Fi۰rv "Ŷm':jʃ2(\kd)طjr- T))*,2ka[|M^I7y=&M(0qF)ޮz?HyFLyaq؞~jKn۵bD5RPɫwS~ %u?͗'`זKwvE:1TLA)0Z@T!sSɝhfNG50(l)m_qWpg)[=o>~s;-)\PMS=3~ϗ>9\P%r"t [-O#qL~@xFAE4€zȲڡP,3;ЁAAst),W\pR`6P2`O??XiN:AR^0f?43: JNJD=Vf#_0`:8џPjX Tr&i K TPus#6Z`۪^+nH&t;e" \9_|?RL;Wi<5(B! $*;*ʈyU w|@kVUxP+̿ :AFPܺ&mʨ OaF.]VA@4w Ed!@7 տ(>HN^""1Tz#7Hs3,?Xq 8}Fq>xѯwoii:`~܀<:Kro 65Klm`>ȌRG~sy=:6!32: , oQ' O~ͣNSƪx~#D@PATiQ!tO6!j.C!%5+|1o\W}Dx\#{tw?uϩ73nCfdc{53rsÃT9Ro<Ƥzi=VҚ l^!.Fhqh?So3R/]Ru Vnf3d};KxDY:.cIǣi丶FF$wm$@M~M!%dΎ1=%BEpԸIM f6=U q niOe=aHh``J*U*xL{S~#+&̷0-Z%ڹ8i T(Fmf3=8f. xq>`H{LDu}bPoRTyҩoƠ/ Jzư m:T]f*%|Y,b.p|t3.W!|~|ҩ="Qq#͑_e_\WGQ*vV,y'/eOS>>޳*Sn5Fo?Ѵ4>eR^$)0P?C[piΣh0G 10ӝW.Q<4'? 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Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos termodin@'amica, GFDL, Termodin@'amica, Top @chapter Ejemplos termodin@'amica @cindex Ejemplos termodin@'amica @menu * Ejemplo 1 (thermo):: * Ejemplo 2 (thermo):: * Ejemplo 3 (thermo):: * Ejemplo 4 (thermo):: * Ejemplo 5 (thermo):: @end menu @node Ejemplo 1 (thermo), Ejemplo 2 (thermo), Ejemplos termodin@'amica, Ejemplos termodin@'amica @section Ejemplo 1 @cindex Ejemplo 1 (thermo) Se entregan 700 cal a un proceso termodin@'amico, mientra el sistema realiza un trabajo de 200 J. @questiondown{}Que tanto cambia la energ@'{@dotless{i}}a interna? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} El enunciado del problema no dice que tipo de procesos es. Por lo tanto, podemos suponer un proceso isob@'rico con una masa, presi@'on y temperatura inicial arbitrarias. Entonces seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso isob@'arico, un elemento Calor aplicado y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e1, 3cm} Para el proceso isob@'arico, con una masa de 1 kg, 1 pascal de presi@'on y 1 m^3 to de volumen inicial, se tiene: @sp 1 @table @strong @item Nombre 0 @item m 1 @item dU U @item P 1 @item Vi 1 @item Vf Vf @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q 700 @@ cal @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W 200 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example U = 2312.080 J ; Vf = 201.000 m3; Estado = success. @end example @page @node Ejemplo 2 (thermo), Ejemplo 3 (thermo), Ejemplo 1 (thermo), Ejemplos termodin@'amica @section Ejemplo 2 @cindex Ejemplo 2 (thermo) Un traabajo de 200 J es realizado sobre un sistema a traves de un proceso adiab@'atico. Calcular el cambio de energ@'{@dotless{i}}a interna en calorias. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso adiab@'atico y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e2, 3cm} Para el elemento Proceso adiab@'atico, con una masa arbitraria de 1 kg, se tiene: @sp 1 @table @strong @item Nombre 0 @item m 1 @item dU U @@ cal @end table @sp 1 Ahora para el elemento Trabajo: @sp 1 @table @strong @item W -200 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example U = 47.769 cal ; Estado = success. @end example @page @node Ejemplo 3 (thermo), Ejemplo 4 (thermo), Ejemplo 2 (thermo), Ejemplos termodin@'amica @section Ejemplo 3 @cindex Ejemplo 3 (thermo) A una presi@'on constante de 1 atm, 1.5 g de agua (1.5 cm^3) a 100 °C se vaporiza a un volumen final de 2000 cm^3. Calcular el trabajo hecho por el sistema y el cambio de energ@'{@dotless{i}}a interna. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Proceso isob@'arico, un elemento Calor aplicado, un elemento Trabajo y un elemento Calor de vaporizaci@'on, como muestra la siguiente imagen: @center @image{therm-e3, 3cm} Para el elemento Proceso isob@'arico se tiene: @sp 1 @table @strong @item Nombre proc @item m 1.5 @@ g @item dU U @item P 1 @@ atm @item Vi 1.5 @@ cm3 @item Vf 2000 @@ cm3 @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q Q @end table @sp 1 Para el elemento Trabajo: @sp 1 @table @strong @item W W @end table @sp 1 Y para el elemento Calor de vaporizaci@'on: @sp 1 @table @strong @item Process: proc @item cv: 540 @@ cal/g @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example W = 202.498 J ; U = 3188.810 J ; Q = 3391.308 J ; Estado = success @end example @page @node Ejemplo 4 (thermo), Ejemplo 5 (thermo), Ejemplo 3 (thermo), Ejemplos termodin@'amica @section Ejemplo 4 @cindex Ejemplo 4 (thermo) Una m@'aquina de vapor trabaja entre las temperaturas de 230 °C y 100 °C. Calcular su eficiencia ideal. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento M@'aquina t@'ermica, un elemento Calor aplicado, un elemento Calor extra@'{@dotless{i}}do y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e4, 3cm} Para el elemento M@'aquina t@'ermica tenemos: @sp 1 @table @strong @item TH 230 @@ C @item TL 100 @@ C @item e e @end table @sp 1 Para el elemento Calor aplicadom establecemos cualquier cantidad arbitraria (positiva): @sp 1 @table @strong @item Q 1000 @end table @sp 1 Para el elemento Calor extra@'{@dotless{i}}do: @sp 1 @table @strong @item Q Ex @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W W @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example W = 258.372 J ; e = 25.837 % ; Ex = 741.628 J ; Estado = success. @end example @page @node Ejemplo 5 (thermo), GFDL, Ejemplo 4 (thermo), Ejemplos termodin@'amica @section Ejemplo 5 @cindex Ejemplo 5 (thermo) En un refrigerador con coeficiente de rendimiento de 2.18, el trabajo interno es de 680 J. Calcular la cantidad de calor (en Joules) que se extraen de la c@'amara fria y la cantidad de calor entregada el exterior. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Termodin@'amica y, dentro de este, el m@'odulo Termodin@'amica. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Y ahora agregamos a la Pizarra un elemento Refrigerador, un elemento Calor aplicado, un elemento Calor extra@'{@dotless{i}}do y un elemento Trabajo, como muestra la siguiente imagen: @center @image{therm-e5, 3cm} Para el elemento Refrigerador, con una temperatura baja arbitraria, se tiene: @sp 1 @table @strong @item TH H @item TL 100 @@ C @item cop 2.18 @end table @sp 1 Para el elemento Calor aplicado: @sp 1 @table @strong @item Q Q @end table @sp 1 Para el elemento Calor extra@'{@dotless{i}}do: @sp 1 @table @strong @item Q Ex @end table @sp 1 Y para el elemento Trabajo: @sp 1 @table @strong @item W 680 @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example Ex = 1482.400 J ; H = 271.170 C ; Q = 2162.400 J ; Estado = success. @end example trunk/Documentation/Manual/Spanish/heat_pump.png0000664000076400007640000002741213646714023021676 0ustar germangermanPNG  IHDR00W%zTXtRaw profile type exifxڵkv;s\f3K/˶nɲT*&I)?rv&\RM#P]rk/Bƿ?o;Ot^p?Juk~ά~3qfgq=v2ݕ/?3)+yzݳg&YBt_ r*Ւ?nvk{Y޿N%4S䧜bvidr;~s/<ϦTe|a~f,-zyεy&5|<:p0ɘlqKΗӵo?8TXmyx{a܆W+?^ȷ /i+c`\Kd)Nto\ÿ{b|ئ=6OMq?7}{a {߶Jj~O||a=Km ~G2{Mn?6k ̳{D_q=?0q3[{|'=??֛Ϗ'>NwZjCt4ߦcs)]^g{||m?o|}z}f2¯'<~=O4:rw:'00';z[`'}?' aw`gZgcoo?}ao$bow1viFa=W=>>?.>{ c5XszZvy[39gC\9lm6:߇L1E^ιy`{6vW?!XB=׭r.<-t,8ÿvE^1/'fUų_e ƳͅCh}˛ch #ߟ-ڑX \},ا1sMpn2K\d{^뢻F`gLS}V!Đ QS!9bKUa -Բ!ǜr% ^bI%RjiQWZ[㢍nDwcO=koađFetOyŒgueŠ ʪm\mvܐ]vjǪ~ܟfa0slxj /%(yձOW;Xiш7{} F6Yp9ZHB茅lDVPrk|g"|a%ȁ%T~B:I"F*AHG%4nx(MU0# Z dIo}9\;MENnF]]wPC`#q'{~An%T [&Ɂ!/*h N2L~$ԅO='= 뱍h&)dBkrk|(QiB SP "86@Wkr=;9˲0]% =l@$$iݾwdH @.Bi!J-I*te]SV#`rVO^iZ88A"vؑ ffȜt\aOJB. 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Arias. @c See the file copying.texinfo for copying conditions. @node Termodinamica, Ejemplos termodinamica, Ejemplos calorimetria, Top @chapter Termodin@'amica @cindex Termodin@'amica @sp 2 Este m@'odulo consta de 13 elementos. Estos se presentan abajo, con una descripci@'on de cada uno, sus datos y el n@'umero de ecuaciones que utilizan. Entre par@'entesis se especifican las dimensionales que F@'{@dotless{i}}sicaLab aplica (si no se utilizan factores de conversi@'on) para aquellos datos en que pueda haber duda. Los elementos Proceso adiab@'atico, Proceso isoc@'orico, Proceso isot@'ermico, Proceso isob@'arico, M@'aquina t@'ermica, Refrigerador y Bomba de calor soportan la aplicaci@'on de elementos de calor ( Calor aplicado y calor extra@'{@dotless{i}}do) y Trabajo. Estos elementos se aplican a un elemento dado coloc@'andolo en alguna de las ocho casillas alrededor de este. @page @menu * Calor aplicado: Calor aplicado (therm). * Trabajo: Trabajo (therm). * Calor extra@'{@dotless{i}}do: Calor extraido (therm). * Proceso adiab@'atico: Proceso adiabatico (therm). * Proceso isoc@'orico: Proceso isicorico (therm). * Proceso isot@'ermico: Proceso isotermico (therm). * Proceso isob@'arico: Proceso isobarico (therm). * Calor sensible: Calor sensible (therm). * Calor de vaporizaci@'on: Calor de vaporizacion (therm). * M@'aquina t@'ermica: Maquina termica (therm). * Refrigerador: Refrigerador (therm). * Bomba de calor: Bomba de calor (therm). * Gas PV/T: Gas PV/T (therm). @end menu @node Calor aplicado (therm), Trabajo (therm), Termodinamica, Termodinamica @section Calor aplicado @cindex Calor aplicado (therm) @image{en_calor} Una cierta cantidad de calor aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor aplicado (en Joules). @end multitable @node Trabajo (therm), Calor extraido (therm), Calor aplicado (therm), Termodinamica @section Trabajo @cindex Trabajo (therm) @image{work_machine} Trabajo aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Trabajo: @tab Trabajo (en Joules). @end multitable @page @node Calor extraido (therm), Proceso adiabatico (therm), Trabajo (therm), Termodinamica @section Calor extra@'{@dotless{i}}do @cindex Calor extra@'{@dotless{i}}do (therm) @image{ex_calor} Una cierta cantidad de calor extra@'{@dotless{i}}do. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor extra@'{@dotless{i}}do (en Joules). @end multitable @node Proceso adiabatico (therm), Proceso isocorico (therm), Calor extraido (therm), Termodinamica @section Proceso adiab@'atico @cindex Proceso adiab@'atico (therm) @image{adiabatic_process} Un proceso adiab@'atico. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del elemento. @item m: @tab La masa involucrada en el proceso (en kilogramos). @item dU: @tab Cambio de la energ@'{@dotless{i}}a interna (en Joules). @end multitable @page @node Proceso isocorico (therm), Proceso isotermico (therm), Proceso adiabatico (therm), Termodinamica @section PRoceso isic@'orico @cindex Proceso isoc@'orico (therm) @image{gas_vc} Un proceso isoc@'orico. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab El nombre del elemento. @item m: @tab La masa involucrada en el proceso (en kilogramos). @item dU: @tab Cambio de la energ@'{@dotless{i}}a interna (en Joules). @end multitable @node Proceso isotermico (therm), Proceso isobarico (therm), Proceso isocorico (therm), Termodinamica @section Proceso isot@'ermico @cindex Proceso isot@'ermico (therm) @image{gas_tc} Un proceso isot@'ermico. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab El nombre del elemento. @item m: @tab La masa involucrada en el proceso (en kilogramos). @end multitable @page @node Proceso isobarico (therm), Calor sensible (therm), Proceso isotermico (therm), Termodinamica @section Proceso isob@'arico @cindex Proceso isob@'arico (therm) @image{gas_pc} Un proceso isob@'arico. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Nombre: @tab El nombre del elemento. @item m: @tab La masa involucrada en el proceso (en kilogramos). @item dU: @tab Cambio de la energ@'{@dotless{i}}a interna (en Joules). @item P: @tab Valor de la presi@'on (en Pascales). @item Vi: @tab Volumen inicial (en m3). @item Vf: @tab Volumen final (en m3). @end multitable @node Calor sensible (therm), Calor de vaporizacion (therm), Proceso isobarico (therm), Termodinamica @section Calor sensible @cindex Calor sensible (therm) @image{sensible_heat} Calor espec@'{@dotless{i}}fico para ser usado en un proceso. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Proceso: @tab El nombre del proceso. @item c: @tab Calor espec@'{@dotless{i}}fico (en J/(kg*K) o J/(kg*C) ). @item Ti: @tab Temperatura inicial (en Kelvins). @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page @node Calor de vaporizacion (therm), Maquina termica (therm), Calor sensible (therm), Termodinamica @section Calor de vaporizaci@'on @cindex Calor de vaporizaci@'on (therm) @image{cfase_lg} Calor de vaporizaci@'on para ser usado en un proceso. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Proceso: @tab Nombre del proceso. @item cv: @tab Calor de vaporizaci@'on (en J/kg). @end multitable @page @node Maquina termica (therm), Refrigerador (therm), Calor de vaporizacion (therm), Termodinamica @section M@'aquina t@'ermica @cindex M@'aquina t@'ermica (therm) @image{heat_engine} Una m@'aquina t@'ermica. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 3 @headitem Datos: @tab @item TH: @tab Temperatura alta (en Kelvins). @item TL: @tab Temperatura baja (en Kelvins). @item e: @tab Eficiencia. @end multitable @page @node Refrigerador (therm), Bomba de calor (therm), Maquina termica (therm), Termodinamica @section Refrigerador @cindex Refrigerador (therm) @image{refrigerator} Un refriferador. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 3 @headitem Datos: @tab @item TH: @tab Temperatura alta (en Kelvins). @item TL: @tab Temperatura baja (en Kelvins). @item cop: @tab Coeficiente de rendimiento. @end multitable @page @node Bomba de calor (therm), Gas PV/T (therm), Refrigerador (therm), Termodinamica @section Bomba de calor @cindex Bomba de calor (therm) @image{heat_pump} Una bomba de calor. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 3 @headitem Datos: @tab @item TH: @tab Temperatura alta (en Kelvins). @item TL: @tab Temperatura baja (en Kelvins). @item cop: @tab Coeficiente de rendimiento. @end multitable @page @node Gas PV/T (therm), , Bomba de calor (therm), Termodinamica @section Gas PV/T @cindex Gas PV/T (therm) @image{gas_pvt} Un gas ideal. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Pi: @tab Presi@'on inicial (en Pascales). @item Vi: @tab Volumen inicial. @item Ti: @tab Temperatura inicial (en Kelvins). @item Pf: @tab Presi@'on final (en Pascales). @item Vf: @tab Volumen final. @item Tf: @tab Temperatura final (en Kelvins). @end multitable @page trunk/Documentation/Manual/Spanish/thermodynamics.texinfo~0000664000076400007640000001625414263460452024032 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2022 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Termodinamica, , Ejemplos calorimetria, Top @chapter Termodin@'amica @cindex Termodin@'amica @sp 2 Este m@'odulo consta de 12 elementos. Estos se presentan abajo, con una descripci@'on de cada uno, sus datos y el n@'umero de ecuaciones que utilizan. Entre par@'entesis se especifican las dimensionales que F@'{@dotless{i}}sicaLab aplica (si no se utilizan factores de conversi@'on) para aquellos datos en que pueda haber duda. Los elementos Proceso adiab@'atico, Proceso isoc@'orico, Proceso isot@'ermico, Proceso isob@'arico, M@'aquina de calor, Refrigerador y Bomba de calor soportan la aplicaci@'on de elementos de calor ( Calor aplicado y calor extraido) y Trabajo. Los elementos calor se aplican a un elemento dado coloc@'andolo en alguna de las ocho casilla alrededor de este. @page @menu * Calor aplicado: Calor aplicado (therm). * Trabajo: Trabajo (therm). * Calor extra@'{@dotless{i}}do: Calor extraido (therm). * Proceso adiab@'atico: Proceso adiabatico (therm). * Proceso isoc@'orico: Proceso isicorico (therm). * Proceso isot@'ermico: Proceso isotermico (therm). * Proceso isob@'arico: Proceso isobarico (therm). * Calor sensible: Calor sensible (therm). * Calor de vaporizaci@'on: Calor de vaporizacion (therm). * M@'aquina de calor: Maquina de calor (therm). * Refrigerador: Refrigerador (therm). * Bomba de calor: Bomba de calor (therm). @end menu @node Calor aplicado (therm), Trabajo (therm), Termodinamica, Termodinamica @section Calor aplicado @cindex Calor aplicado (therm) @image{en_calor} Una cierta cantidad de calor aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor aplicado (en Joules). @end multitable @node Trabajo (therm), Calor extraido (therm), Calor aplicado (therm), Termodinamica @section Trabajo @cindex Work (therm) @image{work_machine} Trabajo aplicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Trabajo: @tab Trabajo (en Joules). @end multitable @page @node Calor extraido (therm), Proceso adiabatico (therm), Trabajo (therm), Termodinamica @section Calor extra@'{@dotless{i}}do @cindex Calor extra@'{@dotless{i}}do (therm) @image{ex_calor} Una cierta cantidad de calor extraido. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Q: @tab Cantidad de calor extraido (en Joules). @end multitable @node Proceso adiabatico (therm), Proceso isocorico (therm), Calor extraido (therm), Termodinamica @section Proceso adiab@'atico @cindex Proceso adiab@'atico (therm) @image{adiabatic_process} Un proceso adiab@'atico. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Nombre: @tab Nombre del elemento. @item m: @tab La masa involucrada en el proceso (en kilogramos). @item dU: @tab Cambio de la energ@'{@dotless{i}}a interna (en Joules). @end multitable @page @node Isochoric process (therm), Isothermal process (therm), Adiabatic process (therm), Thermodynamics @section Isochoric process @cindex Isochoric process (therm) @image{gas_vc} An isochoric process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @item dU: @tab Change of the internal energy (in Joules). @end multitable @node Isothermal process (therm), Isobaric process (therm), Isochoric process (therm), Thermodynamics @section Isothermal process @cindex Isothermal process (therm) @image{gas_tc} An isothermal process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @end multitable @page @node Isobaric process (therm), Sensible heat (therm), Isothermal process (therm), Thermodynamics @section Isobaric process @cindex Isobaric process (therm) @image{gas_pc} An isobaric process. @multitable @columnfractions .15 .6 @item Equations: @tab 2 @headitem Data: @tab @item Name: @tab The name of the element. @item m: @tab The mass involved in the process (in kilograms). @item dU: @tab Change of the internal energy (in Joules). @item P: @tab Value of the pressure (in Pascals). @item Vi: @tab Initial volume (in m3). @item Vf: @tab Final volume (in m3). @end multitable @node Sensible heat (therm), Vaporization heat (therm), Isobaric process (therm), Thermodynamics @section Sensible heat @cindex Sensible heat (therm) @image{sensible_heat} Heat capacity to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item c: @tab Heat capacity (in J/(kg*K) or J/(kg*C) ). @item Ti: @tab Initial temperature (in Kelvins). @item Tf: @tab Final temperature (in Kelvins). @end multitable @page @node Vaporization heat (therm), Heat engine (therm), Sensible heat (therm), Thermodynamics @section Vaporization heat @cindex Vaporization heat (therm) @image{cfase_lg} Vaporization heat to be used in a process. @multitable @columnfractions .15 .6 @item Equations: @tab 1 @headitem Data: @tab @item Process: @tab The name of the process. @item cv: @tab Vaporization heat (in J/kg). @end multitable @page @node Heat engine (therm), Refrigerator (therm), Vaporization heat (therm), Thermodynamics @section Heat engine @cindex Heat engine (therm) @image{heat_engine} A heat engine. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item e: @tab Efficiency. @end multitable @page @node Refrigerator (therm), Heat pump (therm), Heat engine (therm), Thermodynamics @section Refrigerator @cindex Refrigerator (therm) @image{refrigerator} An refriferator. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Efficiency. @end multitable @page @node Heat pump (therm), , Refrigerator (therm), Thermodynamics @section Heat pump @cindex Heat pump (therm) @image{heat_pump} A heat pump. @multitable @columnfractions .15 .6 @item Equations: @tab 3 @headitem Data: @tab @item TH: @tab High temperature (in Kelvins). @item TL: @tab Low temperature (in Kelvins). @item cop: @tab Efficiency. @end multitable @page trunk/Documentation/Manual/Spanish/puntos.png0000777000076400007640000000252512734077040021245 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڍ; {N6813)r6Χo#F\ocRJ+ٖ͆uK5i+`8&< r$(#c Xf;ܽA>}RfX: 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[hZw_gtq⑋)p)>_U|cg_*N\&y[;DqީȖsnʫxY ̴0XoQ rx~RZZXfe"E33ƭx?~93ʋa9͏InݦuExXiM ]Q_̰/˚K3+yiy}Z 9u&Ft[KvA-Y >t?Ɔ=h0/ЊU4ug\e55wG8֏0QcBicZ\PA9 8 ?Oe#V>lI.B||5O5'PۮqtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:11:31-06:00gA%tEXtdate:modify2012-08-09T00:52:54-06:00ˑatEXttiff:alphaunassociated(gtEXttiff:document/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/dinamicaCircular/sis_rotacion.tifݚ8itEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/kinematics-circular-examples.texinfo0000777000076400007640000003240512734077040026352 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos cinematica circular, Estatica, Cinematica circular, Top @chapter Ejemplos de cinem@'atica circular de part@'{@dotless{i}}culas @cindex Ejemplos de cinem@'atica circular de part@'{@dotless{i}}culas @menu * Ejemplo 1 (cc):: * Ejemplo 2 (cc):: * Ejemplo 3 (cc):: * Ejemplo 4 (cc):: * Ejemplo 5 (cc):: @end menu @node Ejemplo 1 (cc), Ejemplo 2 (cc), Ejemplos cinematica circular, Ejemplos cinematica circular @section Ejemplo 1 @cindex Ejemplo 1 (cc) Un m@'ovil con movimiento circular uniforme recorre una circunferencia de radio 3 m con una velocidad tangencial constante de 27 m/s, @questiondown{}Cual es la aceleraci@'on centr@'{@dotless{i}}peta del m@'ovil? @questiondown{}Que distancia en metros ha recorrido despu@'es de 6.3 segundos? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Circular. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI (el sistema de unidades por defecto). Y ahora agregamos a la Pizarra un elemento M@'ovil con movimiento circular, un elemento Longitud de arco y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{kc-e1, 4cm} Para el elemento Sistema de referencia fijo tenemos: @sp 1 @table @strong @item tf 6.3 @end table @sp 1 Ahora al elemento M@'ovil con movimiento circular lo llamaremos @emph{Movil}. Y suponemos que su posici@'on inicial es la que corresponde al @'angulo 0. Asimismo, dejamos el centro como 0 (para este problema no es necesario establecer un centro de rotaci@'on). Los datos de velocidad final y aceleraci@'on centr@'{@dotless{i}}peta los ponemos como inc@'ognitas, puesto que el elemento tiene un dato de aceleraci@'on tangencial y se asume que la velocidad final puede ser diferente a la inicial: @sp 1 @table @strong @item Nombre Movil @item C 0 @item r 3 @item aci aci @item at 0 @item angi 0 @item vi 27 @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 Y para el elemento Longitud de arco el objeto a medir sera nuestro @emph{Movil}, y la longitud del arco es por supuesto una inc@'ognita: @sp 1 @table @strong @item Objeto Movil @item s s @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener las respuestas: @example aci = 243.000 m/s2 ; angf = 8.671 grados ; vf = 27.000 m/s ; acf = 243.000 m/s2 ; s = 170.100 m ; Estado = success. @end example @page @node Ejemplo 2 (cc), Ejemplo 3 (cc), Ejemplo 1 (cc), Ejemplos cinematica circular @section Ejemplo 2 @cindex Ejemplo 2 (cc) Un m@'ovil parte del reposo describiendo un movimiento circular con radio de 4.7 m. Si la aceleraci@'on tangencial es de 1.6 m/s2, @questiondown{}Cuantos segundos necesita para recorrer una distancia de 256 m? @questiondown{}A cuantas vueltas equivale esa distancia? @questiondown{}Cual es su aceleraci@'on total en ese momento (despu@'es de recorrer los 256 m)? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Circular. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI. Y ahora agregamos a la Pizarra un elemento M@'ovil con movimiento circular, un elemento Longitud de arco, un elemento N@'umero de vueltas, un elemento Aceleraci@'on total y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{kc-e2, 4cm} Como el tiempo es una inc@'ognita, tenemos para el elemento Sistema de referencia fijo: @sp 1 @table @strong @item tf t @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular, al que llamaremos @emph{Movil}, asumimos que su posici@'on inicial corresponde al @'angulo 0. Tampoco establecemos un centro de rotaci@'on (no es necesario para este problema): @sp 1 @table @strong @item Nombre Movil @item C 0 @item r 4.7 @item aci aci @item at 1.6 @item angi 0 @item vi 0 @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 Para el elemento Longitud de arco: @sp 1 @table @strong @item Objeto Movil @item s 256 @end table @sp 1 Para el elemento N@'umero de vueltas tenemos: @sp 1 @table @strong @item Objeto Movil @item n n @end table @sp 1 Y para el elemento Aceleraci@'on total: @sp 1 @table @strong @item Objeto Movil @item atoti atoti @item angi aangi @item atotf atotf @item angf aangf @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener las respuestas: @example aci = -0.000 m/s2 ; angf = 240.791 grados ; vf = 28.622 m/s ; acf = 174.298 m/s2 ; t = 17.889 s ; n = 8.669 rev ; atoti = 1.600 m/s2 ; aangi = 90.000 grados ; atotf = 174.305 m/s2 ; aangf = 179.474 grados ; Estado = success. @end example @page @node Ejemplo 3 (cc), Ejemplo 4 (cc), Ejemplo 2 (cc), Ejemplos cinematica circular @section Ejemplo 3 @cindex Ejemplo 3 (cc) Un m@'ovil con movimiento circular uniforme describe una circunferencia de radio 7.5 m. Si la velocidad angular del m@'ovil es de 1.3 rad/s, @questiondown{}Cuantos segundos necesita para describir 9 giros? @questiondown{}Cual es su aceleraci@'on centr@'{@dotless{i}}peta? @questiondown{}Cual es su periodo? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Circular. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI. Y ahora agregamos a la Pizarra un elemento M@'ovil con movimiento circular, un elemento Velocidad angular, un elemento N@'umero de vueltas, un elemento Periodo y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{kc-e3, 4cm} Como el tiempo es una inc@'ognita, tenemos para el elemento Sistema de referencia fijo: @sp 1 @table @strong @item tf t @end table @sp 1 Para el elemento M@'ovil con movimiento circular, que llamaremos @emph{Movil}, tanto la velocidad inicial como la final son inc@'ognitas (las respectivas aceleraciones centr@'{@dotless{i}}petas tambi@'en son inc@'ognitas): @sp 1 @table @strong @item Nombre Movil @item C 0 @item r 7.5 @item aci 0 @item at 0 @item angi 0 @item vi vi @item ti 0 @item angf angf @item vf vf @item acf acf @end table @sp 1 En el elemento Velocidad angular la velocidad angular 1.3 rad/s ser@'a la velocidad angular constante del m@'ovil, puesto que este no tiene una aceleraci@'on tangencial. Sin embargo, para cumplir con la igualdad del n@'umero de inc@'ognitas y el n@'umero de ecuaciones, colocamos este dato como velocidad angular inicial y dejamos el dato final como inc@'ognita, aunque tenga el mismo valor: @sp 1 @table @strong @item Objeto Movil @item vangi 1.3 @item vangf vangf @end table @sp 1 Para el elemento N@'umero de vueltas: @sp 1 @table @strong @item Objeto Movil @item n 9 @end table @sp 1 Y para el elemento Periodo: @sp 1 @table @strong @item Objeto Movil @item T T @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener las respuestas: @example aci = 12.675 m/s2 ; vi = 9.750 m/s ; angf = 360.000 grados ; vf = 9.750 m/s ; acf = 12.675 m/s2 ; t = 43.499 s ; vangf = 1.300 rad/s ; T = 4.833 1/hz ; Estado = success. @end example @page @node Ejemplo 4 (cc), Ejemplo 5 (cc), Ejemplo 3 (cc), Ejemplos cinematica circular @section Ejemplo 4 @cindex Ejemplo 4 (cc) Un m@'ovil parte del reposo desde el origen de un sistema coordenado, con una velocidad angular constante de 0.4 rad/s, una velocidad radial inicial de 0.2 m/s (en la direcci@'on del eje X positivo) y con una aceleraci@'on radial de 0.12 m/s2. @questiondown{}Cual es la coordenada de su posici@'on luego de 5 segundos? @questiondown{}Cual es su velocidad radial en ese momento? @questiondown{}A que distancia se encuentra del origen? @questiondown{}Cual es la frecuencia promedio de su movimiento circular? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Circular. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI. Y ahora agregamos a la Pizarra un elemento M@'ovil con movimiento circular polar, un elemento Coordenada, un elemento Frecuencia y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{kc-e4, 4cm} Como el tiempo es un dato conocido, tenemos para el elemento Sistema de referencia fijo: @sp 1 @table @strong @item tf 5 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular polar. Le colocamos el nombre @emph{Movil}. Y su posici@'on inicial corresponde al @'angulo 0 (ya que la velocidad radial inicial tiene la direcci@'on del eje X positivo). El centro lo dejamos establecido a 0, puesto que el m@'ovil gira alrededor del origen. El radio inicial lo colocamos a 0 (puesto que parte del origen), la aceleraci@'on angular es tambi@'en 0, y la velocidad angular final la colocamos como inc@'ognita, ya que al haber un dato de aceleraci@'on angular se asume que la velocidad angular final puede ser diferente a la inicial. Y la velocidad radial final tambi@'en queda establecida como inc@'ognita: @sp 1 @table @strong @item Nombre Movil @item C 0 @item aa 0 @item ar 0.12 @item angi 0 @item ri 0 @item vai 0.4 @item vri 0.2 @item ti 0 @item angf angf @item rf rf @item vaf vaf @end table @sp 1 Para el elemento Coordenada colocamos @emph{Movil} como objeto a medir, y las coordenadas X y Y quedan como inc@'ognitas: @sp 1 @table @strong @item Objeto Movil @item x x @item y y @end table @sp 1 Y en el elemento Frecuencia el dato de frecuencia queda como inc@'ognita: @sp 1 @table @strong @item Objeto Movil @item f f @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener las respuestas: @example x = -1.040 m ; y = 2.273 m ; f = 0.064 hz ; angf = 114.592 grados ; rf = 2.500 m ; vaf = 0.400 rad/s ; vrf = 0.800 m/s ; Estado = success. @end example @page @node Ejemplo 5 (cc), , Ejemplo 4 (cc), Ejemplos cinematica circular @section Ejemplo 5 @cindex Ejemplo 5 (cc) Un m@'ovil A con movimiento circular uniforme, gira alrededor del origen describiendo una circunferencia de 83 cm con una velocidad tangencial de 0.7 m/s. En el momento en que dicho m@'ovil esta a 59 grados sobre la horizontal, un m@'ovil B parte del punto (10, 17)cm con una velocidad radial constante de 8 cm/s (en la direcci@'on del eje X positivo), y una velocidad angular constante de 0.6 rad/s. 12 segundos despu@'es de la partida del m@'ovil B, @questiondown{}Que distancia separa a ambos m@'oviles? @questiondown{}Cual es la velocidad relativa del m@'ovil B con respecto al m@'ovil A? @questiondown{}Cuantas vueltas a descrito cada uno de los m@'oviles? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Circular. Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI. Y ahora agregamos a la Pizarra un elemento M@'ovil con movimiento circular, un elemento M@'ovil con movimiento circular polar, un elemento Centro de rotaci@'on, un elemento Distancia, un elemento Velocidad relativa, dos elementos N@'umero de vueltas y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{kc-e5, 4cm} Para el elemento Sistema de referencia fijo tenemos: @sp 1 @table @strong @item tf 12 @end table @sp 1 Para el elemento M@'ovil con movimiento circular (el m@'ovil A que gira alrededor del origen), tenemos: @sp 1 @table @strong @item Nombre A @item C 0 @item r 83 @@ cm @item aci aciA @item at 0 @item angi 59 @item vi 0.7 @item ti 0 @item angf angfA @item vf vfA @item acf acfA @end table @sp 1 El elemento Centro de rotaci@'on, que sera el centro del m@'ovil B, queda como: @sp 1 @table @strong @item Nombre Centro @item x 10 @@ cm @item y 17 @@ cm @end table @sp 1 Para el elemento M@'ovil con movimiento circular polar tenemos: @sp 1 @table @strong @item Nombre B @item C Centro @item aa 0 @item ar 0 @item angi 0 @item ri 0 @item vai 0.6 @item vri 8 @@ cm/s @item ti 0 @item angf angfB @item rf rfB @item vaf vafB @item vrf vrfB @end table @sp 1 El elemento Distancia: @sp 1 @table @strong @item Objeto 1 A @item Objeto 2 B @item d d @end table @sp 1 Para el elemento Velocidad relativa tenemos: @sp 1 @table @strong @item Objeto 1 B @item Objeto 2 A @item v vrBA @item ang angBA @end table @sp 1 Y los elementos N@'umero de vueltas, uno para cada m@'ovil: @sp 1 @table @strong @item Objeto A @item n nA @end table @sp 2 @table @strong @item Objeto B @item n nB @end table @sp 1 Ingresados los datos, damos un clic en el icono de Resolver para obtener las respuestas: @example aciA = 0.590 m/s2 ; angfA = 278.861 grados ; vfA = 0.700 m/s ; acfA = 0.590 m/s2 ; d = 1.838 m ; vrBA = 1.142 m/s ; angBA = 164.452 grados ; nA = 1.611 rev ; nB = 1.146 rev ; angfB = 52.530 grados ; rfB = 0.960 m ; vafB = 0.600 rad/s ; vrfB = 0.080 m/s ; Estado = success. @end example trunk/Documentation/Manual/Spanish/cfase_lg.png0000777000076400007640000000350512734077040021457 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~]zTXtRaw profile type 8bimxڥSˎ pϡH{vFYm 4ƕm۶mŒB#w`jg6[b^{!L}q1Mc15 l~c:{7D%}LN@]/JKk9fV|%eQXk6Z);jFuI(fdr@]9]@QZE[cXtSG{Ţ?6|`O6 t;|p ,UI%&7M Х%$a~) :c7=)oNs֣'e۾1< } vpAg00W3IDAThkU?ﻴIi11Sj[p[`aN_w rW"H] ue2m͋αnm-ŤIċX$6yoޜyry>™3CL.5o|VWw&'& dy MOUQK>bz͊N5ljFaxT*x,9W69vށwt2?JظklY!?a6ϱݻep[^'jlcmM|kY/ @[5H55ٳIw/Jrju`P-bB|@1dC4ɫe (VZ>Me5~ XxZ0]>"Em_UUL] kOKp533ޒ664$hk޽K͛`\GHx R~]baTp7;Gh4AKVa^ WڀNFO'CB]`sStv+fڜ _aO~ *5p!;z{GZo}i @SoMp8dP҅f| TiI  f,$Ӊ>@"W=]_$ڑ=6s\9 e$ں ֝ɕo/yK"]by9G<t[_.q/2?&ړ7͑ MI j?w_^ QӤ|CI)H4:$ 5\rοwg<J9[/z\*.QR:+|^%! n9 lyd^8*xjjj *O%VbX^^V$v|PZ/<A7!قhtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:03:11-06:00B%tEXtdate:modify2012-05-22T12:37:06-06:00^StEXttiff:alphaunassociated(+?E`] *yҸ?jx.q0uV7{uaoGi^*:]nb#VQ>ޮʈfK5oTGwC&k#l'sިsbmqdL_qbYnNR؜ph6RBiܤ4=-}k?Sq#GpT=_G*I$'[yjI5 BօF5AM5z*kJ.wCz!|9)㎬>w:8aw<3Z8fO6i7J32A;ލ_دz5b:)}K%omOcSq o=?~gvt_/U JdK/efg-K}-:_)}K%|m?x#qTUV6ܪ T%Trθ$6UTtf^WqjpCM,SO'//EvI > KzPZY~>vӲs'tHR[i%f3^}aMlc]U3mc[,kxFUfXFXE8nTT- %M:l*]:uh.?K$ҵp:ঊ;u4Vc䔾Q5h29>VTJƙ{2"?ln־h x|JT>%3d^3_g޴ߟ=O".b2_& +7=6QPTp镜M,4ll3dJ$׼HֺWI] m4 FΘ=TQiJjUQA9gAu6w>ks0ۙGvjFZv=ȑKWޝ|eO1W~}Tqg""{]T`5^<yu8"[{ڋ:_ [ȕQٴ!8͚pZ߷b; 5u.SOW"3>/ñM#KqJ!deTӱbzԾTnd8H;ls华}MĹo'hIr=Qi-ZdBI\ _?F_%j!q-lkmfNJ`^uėUC^DQIFF_eI$ܦwcS[4Ѫo5x)벥 Sב@R 'PԼJdOQ왒.,r]wQ8*z*eGBrQEQ]S RBS;$^$u=r3hͳZHтY- oGoq"uC)[UJ]am <5MJ9(F!,55W4XSfQQqTm?5fN:jqniRz5+\QW~ O7*u[lȞ^S}ӷQ^}zZUğv?oJ5b6)QeozC/'^kU[oh(mH9\vÆ<n9%$:\q#Tqh~Z%mš@7at:dI;>0 0T`ЪL~2m- >` (г@zjx+몱/uV 7'?6O 8_oPz= Uon"/_W\/|ҷb.ij,6^s[zKm! qyJP KZJJY{$po-/ K g~O8<ݶfD]>io= 6#OzHr.2~w_e2_BBA81nv\dmO顭z־Ku-KiSFV-(vEY" As):TJ]U>M-j9RaK$[X꯼Vពڗz ,l6h 9w4\Vb*Iq4xG|uoE{ "=OqwDgԮmOowlp 򳮥8}MV7u}b(I+)҉EJDS-Heڶu r~O/+bۻ04xGWEE|۷4UCMNąŰuqLO%G;)uDKմ:溚5p֗訣{)^qh,GTOQ#59]glUV l3;cK^cZK@;aɎoJF_02~r3qvV3n^ Z ۳^4mCZӵNvj֛U%5UM9RU2nceee>KTC0 W8I]pHy}_}.~ۇڷ&Ѻ-jwᚆlOa.|uTӂY$r4#D[}-}5-R*zf6v0=pֽkٹ덈.hd     )}*ӳπ,#JXB;<ʞb4,@AuLCg<~b.U"""l~]e-UG}w]n+7Y{n[uf忨r8|.}wuq`[!4-|-MHI{{Ⱥ.֊-\qsy LU䓾OpVΡuckCXvsL`Ǒpr2v\M"+%:F[8}iJTdJI)&T{2İ-,GleF ]1TκG'h/3k\G)!ҥ_cXb۠rVcoX.S\IRMn5 4Y[SJM/)^sy7utW;]! 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Arias. @c See the file copying.texinfo for copying conditions. @node Bienvenida, Cinematica, Top, Top @chapter Introducci@'on @cindex Introducci@'on F@'{@dotless{i}}sicaLab es una aplicaci@'on educativa para la resoluci@'on de problemas f@'{@dotless{i}}sicos. Su objetivo es que el usuario se enfoque en los conceptos f@'{@dotless{i}}sicos dejando de lado la matem@'atica implicada, de la cual se ocupa F@'{@dotless{i}}sicaLab. Esto le permitir@'a al usuario familiarizarse con los conceptos f@'{@dotless{i}}sicos sin correr el riesgo de perderse en los detalles matem@'aticos. Y de esta forma, cuando el usuario gane confianza en la aplicaci@'on de los conceptos f@'{@dotless{i}}sico, estar@'a mejor preparado para resolver los problemas a mano (con l@'apiz y papel). F@'{@dotless{i}}sicaLab es f@'acil de usar y muy intuitivo. Sin embargo, para que pueda aprovechar toda la potencia de F@'{@dotless{i}}sicaLab, le recomendamos leer primero esta ayuda para que se familiarice con las convenciones adoptadas. Al mismo tiempo que aprende como plantear problemas a trav@'es de los ejemplos aqu@'{@dotless{i}} mostrados. F@'{@dotless{i}}sicaLab consiste de dos ventanas, una llamada @emph{M@'odulos y elementos} y otra llamada @emph{Pizarra}. La primera de ellas contiene los diferentes m@'odulos que pueden utilizarse para resolver problemas. Dichos m@'odulos est@'an agrupados en: Cinem@'atica, Est@'atica, Din@'amica, etc. (imagen de abajo). Estos grupos de m@'odulos se seleccionan con los iconos de la parte superior, los indicados con (1) en la imagen. Dejando el puntero del rat@'on sobre cada uno de estos iconos, aparece una etiqueta con el nombre del grupo. Los botones de opci@'on marcados con (2) permiten seleccionar el sistema de unidades que deseamos utilizar: SI o Ingl@'es. En el recuadro indicado por (3) se ven los m@'odulos del grupo seleccionado, los cuales pueden seleccionarse con las pesta@~nas indicadas por (4). Los elementos del m@'odulo seleccionado aparecen en el recuadro indicado por (5). Dichos elementos nos sirven para plantearle el problema a F@'{@dotless{i}}sicaLab. En el recuadro indicado por (6) se ingresan los datos de cada elemento a@~nadido a la pizarra (si no hay ning@'un elemento en la pizarra, dicho recuadro aparecer@'a vaci@'o). @center @image{FisicaLabPanel, 7cm} La ventana @emph{Pizarra} (la imagen de abajo), tiene en la parte superior izquierda dos botones, indicados con (7). El de la izquierda sirve para resolver el problema planteado, y el de la derecha para borrar todos los elementos a@~nadidos a la pizarra. El rect@'angulo de color negro indicado por (8), es la pizarra propiamente dicha. Hay que tener en mente, aunque no se ve, que la pizarra es cuadriculada. Estando constituida por celdas de 50x50 p@'{@dotless{i}}xeles. El tama@~no por defecto es de 26x18 celdas y puede configurarse en el panel de @emph{Preferencias} hasta un m@'aximo de 100x100 (Un tama@~no mayor al predeterminado puede ser @'util para resolver problemas de armaduras). El visor de texto indicado por (9), es donde F@'{@dotless{i}}sicaLab muestra los resultados o mensajes pertinentes. Inmediatamente debajo de la pizarra, la casilla de selecci@'on indicada por (10), que por defecto esta seleccionada, borra todo el contenido del visor de texto antes de mostrar los resultados del siguiente c@'alculo. Si se desean conservar los datos anteriores, hay que desactivar esta casilla dando un clic sobre ella. En este caso, el visor permite agregar texto. Por ejemplo, notas para saber a que problema corresponden las soluciones. @center @image{FisicaLabPizarra, 7cm} @menu * Manejando los elementos:: * Datos de los elementos:: * Funcionamiento de F@'{@dotless{i}}isicaLab: Funcionamiento de FisicaLab. * Mensajes en el visor de texto:: @end menu @node Manejando los elementos, Datos de los elementos, Bienvenida, Bienvenida @section Manejando los elementos @cindex Manejando los elementos Una vez seleccionado el m@'odulo que se desea utilizar (al iniciar la aplicaci@'on aparece seleccionado el grupo Cinem@'atica y el m@'odulo Puntual), podemos agregar elementos a la @emph{Pizarra} simplemente dando un clic sobre el elemento deseado. Una vez seleccionado un elemento, el cursor del rat@'on se convertir@'a en una mano abierta, indic@'andonos que estamos por agregar un elemento a la pizarra. Dando un clic en la ubicaci@'on de la pizarra donde queremos colocar el elemento, el elemento aparecer@'a en dicha ubicaci@'on y el cursor del rat@'on regresara a su forma original. Cada vez que se agregue un nuevo elemento un recuadro amarillo aparecer@'a rodeando dicho elemento. Este recuadro amarillo indica que la informaci@'on de este elemento es la que aparece, para su edici@'on, en el panel de @emph{M@'odulos y elementos}. Si se selecciona otro elemento, el recuadro amarillo pasara a resaltar dicho elemento, indicando que ahora es la informaci@'on de este elemento la que esta disponible para su edici@'on en el panel. Si se deja el puntero del rat@'on sobre cualquier elemento, una etiqueta aparecer@'a desplegando la informaci@'on del elemento. El tama@~no de la letra en estas etiquetas puede configurarse desde el panel de @emph{Preferencias}. @center @image{chalkboardProperties, 7cm} Si se desea cambiar de lugar un elemento, simplemente debemos dar un clic sobre dicho elemento, manteniendo presionada la tecla @key{Control}. Esto har@'a que el elemento desaparezca del lugar donde se encontraba y que el cursor del rat@'on se convierta en una mano cerrada, indic@'andonos que estamos moviendo un elemento. Dando un clic en la nueva ubicaci@'on, el elemento aparecer@'a y el cursor regresara a su forma original. Por otra parte, si lo que se desea es borrar un elemento, simplemente debemos dar un clic en el elemento, manteniendo la tecla @key{Shift} presionada. Algo que se debe tener en cuenta, a la hora de plantear problemas, es que F@'{@dotless{i}}sicaLab no permite combinar elementos de diferentes m@'odulos. Los elementos contenidos en cada m@'odulo, son suficientes para plantear una gran variedad de problemas. @node Datos de los elementos, Funcionamiento de FisicaLab, Manejando los elementos, Bienvenida @section Datos de los elementos @cindex Datos de los elementos Al seleccionar un elemento de la pizarra, o agregar un nuevo elemento, aparecer@'a en la parte inferior de la ventana @emph{M@'odulos y elementos} una tabla con los datos de dicho elemento. Dando un doble clic en cualquier campo de la segunda columna, se pueden ingresar los datos correspondientes al elemento. F@'{@dotless{i}}sicaLab soporta notaci@'on cient@'{@dotless{i}}fica, para ello se debe utilizar la letra E para indicar el exponente de la base diez. Por ejemplo, para ingresar el n@'umero @samp{3.45 x10-5}, se debe escribir: @example 3.45E-5 @end example Todos los datos num@'ericos deben ser ingresados sin espacios. Por ejemplo, los siguientes datos, no son aceptados: @example - 5.3 7.8E - 8 @end example F@'{@dotless{i}}sicaLab tambi@'en incorpora una gran cantidad de factores de conversi@'on. Dichos factores pueden utilizarse colocando el car@'acter @kbd{@@} antes de la conversi@'on deseada. Si tenemos seleccionado el sistema de unidades SI, F@'{@dotless{i}}sicaLab asumir@'a que los datos ingresados est@'an en metros, kilogramos, segundos, etc. Si tenemos seleccionado el sistema Ingl@'es, F@'{@dotless{i}}sicaLab asumir@'a que los datos ingresados est@'an en pies, libras, slugs, segundos, etc. (en el sistema Ingl@'es la masa debe estar en slugs). Pero si, por ejemplo, queremos ingresar una velocidad de @samp{75 km/h}, puede hacerse de la siguiente forma: @example 75 @@ km/h @end example En este caso los espacios delante y detr@'as del car@'acter @kbd{@@} son aceptados por claridad. Aunque no son indispensables. Cada m@'odulo tiene su conjunto de factores de conversi@'on aceptados, como se puede ver en las secciones que tratan sobre cada uno de dichos m@'odulos. Las inc@'ognitas del problema se representan con letras o conjuntos de letras. Si, por ejemplo, en un problema de cinem@'atica la velocidad final es una inc@'ognita, esta puede representarse como: @example vf vfinal velfinal @end example o cualquier otra combinaci@'on que se desee utilizar. Aunque es recomendable que el nombre de la inc@'ognita se relacione con el dato buscado (es decir, no son recomendables nombres como @samp{perro}, @samp{gato} o @samp{fkrg} que no tienen relaci@'on con el dato buscado). Los factores de conversi@'on tambi@'en pueden utilizarse para las inc@'ognitas, indic@'andole a F@'{@dotless{i}}sicaLab las unidades en las que queremos el resultado. Por ejemplo, para un dato de tiempo: @example t @@ min @end example lo que nos dar@'a el resultado del tiempo en minutos. Tambi@'en es posible utilizar la notaci@'on cient@'{@dotless{i}}fica en las inc@'ognitas, para el caso cuando el resultado es muy peque@~no o muy grande, agregando los caracteres @kbd{#E} al final del nombre de la inc@'ognita. Por ejemplo, para un coeficiente de expansi@'on t@'ermica, que es un dato muy peque@~no: @example coeficiente#E @end example Tambi@'en es posible la combinaci@'on con un factor de conversi@'on. Por ejemplo, para una distancia muy grande que deseamos en kil@'ometros: @example distancia#E @@ km @end example Todos los factores de conversi@'on est@'an tambi@'en disponibles desde un men@'u contextual. Una vez seleccionado el rengl@'on del dato al que se desea agregar el factor, un clic derecho desplegara el men@'u contextual con los factores disponibles. @center @image{MenuContextual, 7cm} F@'{@dotless{i}}sicaLab permite realizar operaciones matem@'aticas directamente en los campos donde se ingresan los datos. Pueden llevarse a cabo operaciones de suma (@kbd{+}), resta (@kbd{-}), multiplicaci@'on (@kbd{*}) y divisi@'on (@kbd{/}). Aunque no esta permitido agrupar operaciones mediante par@'entesis. Tambi@'en se proveen algunas funciones @'utiles para ciertos c@'alculos. Estas se listan a continuaci@'on con su respectiva descripci@'on: @multitable @columnfractions .3 .6 @item cos(ang) @tab Calcula el coseno del @'angulo sexagesimal "ang". @item sin(ang) @tab Calcula el seno del @'angulo sexagesimal "ang". @item tan(ang) @tab Calcula la tangente del @'angulo sexagesimal "ang". @item sqrt(x) @tab Calcula la ra@'{@dotless{i}}z cuadrada del n@'umero "x". @item hypot(a,b) @tab Calcula la hipotenusa del triangulo rect@'angulo cuyos catetos son "a" y "b". @item leg(c,a) @tab Calcula el cateto del triangulo rect@'angulo cuya hipotenusa es "c" y el otro cateto es "a". @item rd(m1,m2,d) @tab Calcula la distancia de la masa "m1" al centro de masa del sistema conformado por las masas "m1" y "m2", que est@'an separadas la distancia "d". @end multitable Los n@'umeros que se pasen como par@'ametros de estas funciones deben tener unidades consistentes. Por ejemplo, en la funci@'on @samp{hypot()} ambos catetos deben estar en las mismas unidades, ya sean cent@'{@dotless{i}}metros, metros, pulgadas, etc. Estas funciones pueden utilizarse en operaciones de suma, resta, multiplicaci@'on y divisi@'on. En las operaciones matem@'aticas los espacios en blanco no est@'an permitidos. Aqu@'{@dotless{i}} algunos ejemplos: @example 8*cos(34) hypot(4,3)-2 rd(3,6,40)*sin(30) @@ cm 15*8/hypot(13,8) @end example Una vez ingresada la operaci@'on, F@'{@dotless{i}}sicaLab llevara a cabo el c@'alculo y escribir@'a el resultado en la entrada. Obs@'ervese que es posible aplicar factores de conversi@'on. Aunque estos tambi@'en pueden aplicarse una vez efectuado el c@'alculo. Los campos donde se ingresan @'angulos no permiten las operaciones y funciones descritas anteriormente. Esto es porque estos campos tienen sus propias operaciones y funciones disponibles. Por ejemplo, F@'{@dotless{i}}sicaLab permite ingresar los @'angulos como pendientes (a/b), convirti@'endolos autom@'aticamente a @'angulos sexagesimales. Lo que es muy @'util para los problemas de armaduras. @center @image{angulos, 7cm} Para estos campos est@'an disponibles dos funciones que permiten calcular un @'angulo a partir de otras relaciones. Estas funciones son: @multitable @columnfractions .3 .6 @item acos(a/c) @tab Calcula el @'angulo sexagesimal cuyo coseno es la relaci@'on "a/c". @item asin(b/c) @tab Calcula el @'angulo sexagesimal cuyo seno es la relaci@'on "b/c". @end multitable Si una operaci@'on se ingresa de forma incorrecta, si por ejemplo contiene espacios o contiene una funci@'on con un n@'umero incorrecto de par@'ametros, F@'{@dotless{i}}sicaLab no har@'a nada y tomara esa cadena de caracteres como una inc@'ognita. @strong{Precauci@'on:} @emph{F@'{@dotless{i}}sicaLab no emitir@'a ning@'un mensaje de advertencia si se utiliza un factor de conversi@'on inadecuado. Si, por ejemplo, para un dato de longitud se utiliza una conversi@'on de masa, F@'{@dotless{i}}sicaLab utilizara dicha conversi@'on provocando con ello un error en el resultado.} @node Funcionamiento de FisicaLab, Mensajes en el visor de texto, Datos de los elementos, Bienvenida @section Funcionamiento de F@'{@dotless{i}}sicaLab @cindex Funcionamiento de F@'{@dotless{i}}sicaLab F@'{@dotless{i}}sicaLab trabaja sobre la base @emph{n@'umero de ecuaciones = n@'umero de inc@'ognitas}, Teniendo esto en mente, y una vez que se conocen las caracter@'{@dotless{i}}sticas de los elementos, es f@'acil plantear los problemas. Sin embargo, en caso de que no se satisfaga esta condici@'on, F@'{@dotless{i}}sicaLab mostrara el mensaje @strong{"El sistema es indeterminado"} en el visor de texto. En general, no hay que preocuparse en cumplir con esta condici@'on, solamente hay que tener en mente que si aparece dicho mensaje, es porque se ha colocado un dato num@'erico donde debe ir una inc@'ognita. En los ejemplos correspondientes a cada m@'odulo se trata esto con m@'as claridad. @node Mensajes en el visor de texto, , Funcionamiento de FisicaLab, Bienvenida @section Mensajes en el visor de texto @cindex Mensajes en el visor de texto F@'{@dotless{i}}sicaLab mostrara diversos mensajes en el visor de texto cuando un problema este mal planteado. Sin embargo, siempre aparecer@'a un mensaje despu@'es de los resultados encontrados, indicando el estado del c@'alculo, como se muestra en la siguiente imagen: @sp 1 @center @image{ejemplo5, 12cm} La @'ultima l@'{@dotless{i}}nea que dice @strong{"Estado = success"}, indica que el c@'alculo fue exitoso. 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W]pbsLڮ/4kLj`:Ivp\h]לȌT,@h iay@o1J.d/[RD>kFS13btM(O'NbC;'s9*bt%T @end table @sp 1 Para el elemento Fuerza, que representa la normal, y tomando en cuenta que el peralte de la curva es de 18 grados, tenemos: @sp 1 @table @strong @item f normal @item ang 72 @end table @sp 1 Y para la fuerza de fricci@'on: @sp 1 @table @strong @item N normal @item u 0.33 @item ang 18 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example normal = 11.554 N ; vt = 146.462 km/h ; Ft = 0.000 N ; Estado = success. @end example Para el inciso b primero eliminamos el elemento Fricci@'on, puesto que no debe haber fuerza de fricci@'on: @center @image{dc-e1-2, 4cm} Y damos clic en el icono Resolver para obtener la respuesta: @example normal = 10.315 N ; vt = 97.474 km/h ; Ft = 0.000 N ; Estado = success. @end example Ahora para el inciso c agregamos nuevamente una fuerza de fricci@'on: @center @image{dc-e1-3, 4cm} Con los datos: @sp 1 @table @strong @item N normal @item u 0.33 @item ang 18 @end table @sp 1 Y nuevamente damos clic en el icono Resolver para obtener la respuesta: @example normal = 9.316 N ; vt = 0.503 km/h ; Ft = 0.000 N ; Estado = the iteration has not converged yet. @end example @questiondown{}Que significa esto? Que no hay una velocidad m@'{@dotless{i}}nima. El coeficiente de fricci@'on dado es suficiente para que el autom@'ovil se estacione en la curva y no resbale. @page @node Ejemplo 2 (dc), Ejemplo 3 (dc), Ejemplo 1 (dc), Ejemplos dinamica circular @section Ejemplo 2 @cindex Ejemplo 2 (dc) Un peque@~no bloque A est@'a sobre una mesa que partiendo del reposo gira con una aceleraci@'on tangencial constante. Si el coeficiente de rozamiento est@'atico entre el bloque y la mesa giratoria es 0.57, determ@'{@dotless{i}}nese el m@'{@dotless{i}}nimo intervalo de tiempo para que el bloque alcance una rapidez de 1.2 m/s sin resbalar. @center @image{dc-e2-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, dos elementos M@'ovil con movimiento circular, un elemento M@'ovil con movimiento circular perpendicular, dos elementos Fuerza, un elemento Momento angular, un elemento Momento de una fuerza y un elemento Aceleraci@'on m@'axima. Tal y como se muestra en la siguiente imagen: @center @image{dc-e2-2, 7cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y el dato del tiempo es una inc@'ognita: @sp 1 @table @strong @item g 9.81 @item t tiempo @end table @sp 1 El enunciado no da un dato para la masa del bloque, ya que es un dato irrelevante para lo que se pide. Pero como necesitamos especificar una masa, colocaremos 1 kg. As@'{@dotless{i}}, para el elemento M@'ovil con movimiento circular de la izquierda, que representa el estado inicial, tenemos: @sp 1 @table @strong @item Nombre inicial @item m 1 @item vt 0 @item r 40 @@ cm @item y 0 @end table @sp 1 Para el otro elemento M@'ovil con movimiento circular, el de la derecha, que representa el estado final, tenemos: @sp 1 @table @strong @item Nombre final @item m 1 @item vt 1.2 @item r 40 @@ cm @item y 0 @end table @sp 1 Ahora agregamos ambos objetos al elemento Momento angular, siendo M el momento que causa la aceleraci@'on del bloque: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item M M @end table @sp 1 El elemento M@'ovil con movimiento circular perpendicular lo utilizamos para establecer condiciones adicionales en el estado final. Dejando el centro de rotaci@'on a la derecha y llam@'andolo A, tenemos (tanto la aceleraci@'on tangencial como la fuerza tangencial son desconocidas): @sp 1 @table @strong @item Nombre A @item m 1 @item vt 1.2 @item r 40 @@ cm @item at at @item Ft Ft @item C > @end table @sp 1 Y en el elemento Aceleraci@'on m@'axima establecemos el coeficiente de fricci@'on, lo que asegura que tanto la fuerza tangencial (Ft) como la centr@'{@dotless{i}}peta se deban a la m@'axima fuerza de fricci@'on: @sp 1 @table @strong @item Objeto A @item u 0.57 @end table @sp 1 Ahora en el elemento Momento de una fuerza relacionamos la fuerza tangencial m@'axima (Ft) con el momento aplicado: @sp 1 @table @strong @item M M @item f Ft @item d 40 @@ cm @end table @sp 1 Por @'ultimo, para las fuerzas Normal y Centr@'{@dotless{i}}peta tenemos, respectivamente: @sp 1 @table @strong @item f normal @end table @sp 2 @table @strong @item f centripeta @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example centripeta = 3.600 N ; tiempo = 0.280 s ; M = 1.711 N*m ; at = 4.279 m/s2 ; Ft = 4.279 N ; normal = 9.810 N ; Estado = success. @end example El tiempo m@'{@dotless{i}}nimo es de 0.28 segundos. @page @node Ejemplo 3 (dc), Ejemplo 4 (dc), Ejemplo 2 (dc), Ejemplos dinamica circular @section Ejemplo 3 @cindex Ejemplo 3 (dc) Un collar@'{@dotless{i}}n de 1.7 kg est@'a unido a un resorte y resbala en un plano vertical (sin rozamiento) a lo largo de la barra ABC. La constante del resorte es de 550 N/m y esta sin deformar cuando su longitud es de 16 cm. Si el collar@'{@dotless{i}}n se suelta en A sin velocidad inicial, determ@'{@dotless{i}}nese su velocidad al pasar por B. @center @image{dc-e3-1, 8cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, un elemento Masa en reposo, un elemento M@'ovil con movimiento circular, dos elementos Resorte, dos elementos Fuerza, un elemento Sistema inicial, un elemento Sistema final y un elemento Energ@'{@dotless{i}}a. Tal y como se muestra en la siguiente imagen: @center @image{dc-e3-2, 5cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y para este problema, el dato del tiempo es irrelevante. Para el elemento Masa en reposo que representa el collar@'{@dotless{i}}n en el punto A y tomando como referencia horizontal esta posici@'on: @sp 1 @table @strong @item Nombre collarinInicial @item m 1.7 @item y 0 @end table @sp 1 Y para el elemento Resorte que corresponde al estado inicial: @sp 1 @table @strong @item Nombre resorteInicial @item k 550 @item x 7 @@ cm @end table @sp 1 Para el elemento Fuerza aplicada a este resorte: @sp 1 @table @strong @item f fuerzaInicial @end table @sp 1 Tanto este resorte como el elemento Masa en reposo corresponden al estado inicial, por lo que los agregamos al elemento Sistema inicial, al cual llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 collarinInicial @item Objeto 2 resorteInicial @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular, que representa al collar@'{@dotless{i}}n cuando pasa por el punto B, tenemos (no conocemos el dato del radio de giro, pero es irrelevante para este problema): @sp 1 @table @strong @item Nombre collarinFinal @item m 1.7 @item vt vt @item r 0 @item y -18 @@ cm @end table @sp 1 Para el elemento Resorte que corresponde al estado final: @sp 1 @table @strong @item Nombre resorteFinal @item k 550 @item x 2 @@ cm @end table @sp 1 Y para la fuerza aplicada: @sp 1 @table @strong @item f fuerzaFinal @end table @sp 1 Ahora agregamos este @'ultimo resorte y el M@'ovil con movimiento circular, que constituyen el estado final, al elemento Sistema final que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 collarinFinal @item Objeto 2 resorteFinal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Por @'ultimo agregamos los elementos Sistema inicial y final al elemento Energ@'{@dotless{i}}a, recordando que no hay trabajo de fuerzas externas: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item W 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vt = 2.233 m/s ; fuerzaInicial = 38.500 N ; fuerzaFinal = 11.000 N ; Estado = success. @end example @page @node Ejemplo 4 (dc), Ejemplo 5 (dc), Ejemplo 3 (dc), Ejemplos dinamica circular @section Ejemplo 4 @cindex Ejemplo 4 (dc) Un collar@'{@dotless{i}}n de 1.5 kg puede resbalar sin rozamiento a lo largo de una barra horizontal y est@'a unido a dos resortes de constante 380 N/m, cuya longitud no deformada es de 2 cm. Si el collar@'{@dotless{i}}n se suelta desde el reposo en la posici@'on A, encuentre la velocidad de este cuando pasa por el punto B. @center @image{dc-e4-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, un elemento Masa en reposo, un elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo, cuatro elementos Resorte, siete elementos Fuerza, un elemento Sistema inicial, un elemento Sistema final y un elemento Energ@'{@dotless{i}}a. Tal y como se muestra en la siguiente imagen: @center @image{dc-e4-2, 9cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y para este problema, el dato del tiempo es irrelevante. Para el elemento Masa en reposo que representa el collar@'{@dotless{i}}n en el punto A, tenemos: @sp 1 @table @strong @item Nombre collarinInicial @item m 1.5 @item y 0 @end table @sp 1 Para el elemento resorte, en la posici@'on vertical, tenemos (este resorte no esta ni estirado ni comprimido): @sp 1 @table @strong @item Nombre resorteUno @item k 380 @item x 0 @end table @sp 1 Ahora para la fuerza aplicada a este resorte: @sp 1 @table @strong @item f fuerzaUno @end table @sp 1 Y para el segundo resorte del estado inicial, calculando previamente la distancia que esta estirado, tenemos (puede ingresarse directamente en el campo @code{hypot(6,2)-2 @@ cm}): @center @image{dc-e4-3, 7cm} @sp 1 @table @strong @item Nombre resorteDos @item k 380 @item x 4.325 @@ cm @end table @sp 1 Y para la fuerza aplicada (aqu@'{@dotless{i}} el dato del @'angulo es irrelevante): @sp 1 @table @strong @item f fuerzaDos @item ang 0 @end table @sp 1 Tanto el elemento Masa en reposo como los dos resortes, constituyen el estado inicial. Por lo que los agregamos al elemento Sistema inicial, al que llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 collarinInicial @item Objeto 2 resorteUno @item Objeto 3 resorteDos @item Objeto 4 0 @end table @sp 1 Para el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo, que representa el collar@'{@dotless{i}}n en el punto B, y siendo el movimiento horizontal (@'angulo = 0) y la aceleraci@'on desconocida, tenemos (las coordenadas x,y son irrelevantes para este problema): @sp 1 @table @strong @item Nombre collarinFinal @item m 1.5 @item v v @item x 0 @item y 0 @item ang 0 @item a aceleracion @end table @sp 1 Para la fuerza vertical, que representa la normal aplicada por la barra horizontal, tenemos: @sp 1 @table @strong @item f normal @end table @sp 1 Ahora para la fuerza oblicua aplicada a la izquierda, la fuerza aplicada por el resorte a la izquierda, e ingresando el @'angulo como la pendiente 2/2, tenemos: @sp 1 @table @strong @item f fuerzaTres @item ang 45.000 @end table @sp 1 Y para la fuerza oblicua aplicada a la derecha, la fuerza aplicada por el resorte a la derecha, e ingresando el @'angulo como la pendiente 2/4: @sp 1 @table @strong @item f fuerzaCuatro @item ang 26.565 @end table @sp 1 Ahora para el elemento resorte ubicado a la izquierda, obteniendo primero la distancia que esta deformado, tenemos (puede ingresarse directamente en el campo @code{hypot(2,2)-2 @@ cm}): @center @image{dc-e4-4, 7cm} @sp 1 @table @strong @item Nombre resorteTres @item k 380 @item x 0.828 @@ cm @end table @sp 1 Y para la fuerza aplicada a este resorte (aqu@'{@dotless{i}} el dato del @'angulo tambi@'en es irrelevante): @sp 1 @table @strong @item f fuerzaTres @item ang 0 @end table @sp 1 Ahora para el resorte ubicado a la derecha, obteniendo primero la distancia que esta deformado (puede ingresarse directamente en el campo @code{hypot(4,2)-2 @@ cm}): @center @image{dc-e4-5, 7cm} @sp 1 @table @strong @item Nombre resorteCuatro @item k 380 @item x 2.472 @@ cm @end table @sp 1 Y para la fuerza aplicada (aqu@'{@dotless{i}} el dato del @'angulo tambi@'en es irrelevante): @sp 1 @table @strong @item f fuerzaCuatro @item ang 0 @end table @sp 1 Tanto el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo como estos dos resortes, constituyen el estado final. Por lo que los agregamos al elemento Sistema final, al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 collarinFinal @item Objeto 2 resorteTres @item Objeto 3 resorteCuatro @item Objeto 4 0 @end table @sp 1 Por @'ultimo agregamos los elementos Sistema inicial y final al elemento Energ@'{@dotless{i}}a, recordando que no hay trabajo de fuerzas externas: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item W 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example normal = 21.141 N ; fuerzaTres = 3.146 N ; fuerzaCuatro = 9.394 N ; fuerzaDos = 16.435 N ; fuerzaUno = -0.000 N ; v = 0.549 m/s ; aceleracion = 4.118 m/s2 ; Estado = success. @end example La velocidad del collar@'{@dotless{i}}n es de 0.549 m/s. @page @node Ejemplo 5 (dc), Ejemplo 6 (dc), Ejemplo 4 (dc), Ejemplos dinamica circular @section Ejemplo 5 @cindex Ejemplo 5 (dc) Un collar@'{@dotless{i}}n de 430 gramos puede resbalar sin rozamiento a lo largo de una barra horizontal, la cual a su vez puede girar libremente alrededor de un eje vertical. Un resorte de constante 4 N/m, cuya longitud no deformada es de 70 cm, sujeta el collar@'{@dotless{i}}n a la barra, tal y como se muestra en la imagen de abajo. Inicialmente la barra gira a una velocidad angular constante de 13 rad/s. Mientras que una cuerda sujeta el collar@'{@dotless{i}}n en la posici@'on A. Repentinamente la cuerda se rompe y el resorte empuja el collar@'{@dotless{i}}n hacia afuera. Despreciando la masa de la barra, encuentre la velocidad tangencial del collar@'{@dotless{i}}n para la posici@'on B y su aceleraci@'on radial. @center @image{dc-e5-1, 8cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, un elemento M@'ovil con movimiento circular, un elemento M@'ovil con movimiento circular polar, dos elementos Resorte, tres elementos Fuerza, un elemento Sistema inicial, un elemento Sistema final, un elemento Energ@'{@dotless{i}}a, un elemento Momento angular y un elemento Velocidad angular. Tal y como se muestra en la siguiente imagen: @center @image{dc-e5-2, 8cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y para este problema, el dato del tiempo es irrelevante. Ahora para el elemento M@'ovil con movimiento circular, que representa el collar@'{@dotless{i}}n en la posici@'on A, y tomando en cuenta que la velocidad tangencial es inc@'ognita, tenemos: @sp 1 @table @strong @item Nombre collarinInicial @item m 430 @@ g @item vt vInicial @item r 18 @@ cm @item y 0 @end table @sp 1 Y en el elemento Velocidad angular establecemos la velocidad angular proporcionada para el collar@'{@dotless{i}}n inicial: @sp 1 @table @strong @item Objeto collarinInicial @item vang 13 @end table @sp 1 Para el elemento Resorte del estado inicial: @sp 1 @table @strong @item Nombre resorteInicial @item k 4 @item x -52 @@ cm @end table @sp 1 Y para la fuerza aplicada a este: @sp 1 @table @strong @item f fuerzaInicial @end table @sp 1 Tanto el elemento M@'ovil con movimiento circular y el elemento Resorte, constituyen el estado inicial. Por lo que los agregamos al elemento Sistema inicial, al que llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 collarinInicial @item Objeto 2 resorteinicial @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular polar, que representa al collar@'{@dotless{i}}n en la posici@'on B, tenemos: @sp 1 @table @strong @item Nombre collarinFinal @item m 430 @@ g @item vt vtFinal @item r 60 @@ cm @item y 0 @item vr vrFinal @item ar arFinal @end table @sp 1 Y para el elemento Fuerza aplicado a este m@'ovil, que representa la fuerza aplicada por el resorte, tenemos: @sp 1 @table @strong @item f fuerzaFinal @end table @sp 1 Esta fuerza esta aplicada ya que deseamos conocer la aceleraci@'on radial del m@'ovil. Si este dato no fuera requerido, podr@'{@dotless{i}}amos omitir esta fuerza. Ahora para el elemento Resorte del estado final: @sp 1 @table @strong @item Nombre resorteFinal @item k 4 @item x -10 @@ cm @end table @sp 1 Y para la fuerza aplicada a este: @sp 1 @table @strong @item f fuerzaFinal @end table @sp 1 Tanto el elemento M@'ovil con movimiento circular polar y el anterior elemento Resorte, constituyen el estado final. Por lo que los agregamos al elemento Sistema final, al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 collarinFinal @item Objeto 2 resorteFinal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora agregamos ambos sistemas, inicial y final, al elemento Energ@'{@dotless{i}}a, tomando en cuenta que no hay trabajo realizado por fuerzas externas: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item W 0 @end table @sp 1 Y en el elemento Momento angular, agregamos los elementos que representan al collar@'{@dotless{i}}n inicial y al collar@'{@dotless{i}}n final: @sp 1 @table @strong @item Sistema i collarinInicial @item Sistema f collarinFinal @item M 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example fuerzaInicial = 2.080 N ; fuerzaFinal = 0.400 N ; vInicial = 2.340 m/s ; vtFinal = 0.702 m/s ; vrFinal = 2.721 m/s ; arFinal = 0.930 m/s2 ; Estado = success. @end example @page @node Ejemplo 6 (dc), Ejemplo 7 (dc), Ejemplo 5 (dc), Ejemplos dinamica circular @section Ejemplo 6 @cindex Ejemplo 6 (dc) Un sistema conformado por dos peque@~nas esferas de 900 y 350 gramos, unidas por una varilla delgada, puede girar libremente alrededor de un eje vertical que pasa por el centro de masa del sistema. Inicialmente el sistema est@'a en reposo cuando se le aplica un momento de 5 N*m. Despreciando la masa de la barra, encuentre la velocidad angular y la aceleraci@'on angular del sistema despu@'es de 1.2 segundos, as@'{@dotless{i}} como la potencia aplicada. @center @image{dc-e6-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, cuatro elementos M@'ovil con movimiento circular, un elemento M@'ovil con movimiento circular perpendicular, dos elementos Fuerza, un elemento Sistema inicial, un elemento Sistema final, un elemento Potencia, un elemento Momento angular, dos elementos Velocidad angular, un elemento Aceleraci@'on angular, un elemento Momento de una fuerza y un elemento Inercia. Tal y como se muestra en la siguiente imagen: @center @image{dc-e6-2, 8cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y el dato del tiempo es el proporcionado en el enunciado: @sp 1 @table @strong @item g 9.81 @item t 1.2 @end table @sp 1 Los dos elementos M@'ovil con movimiento circular de la parte superior representan el estado inicial del sistema. Tomando el de la izquierda como la esfera de 900 gramos, al que llamaremos @emph{Ainicial}, y al de la derecha como la esfera de 350 gramos, al que llamaremos @emph{Binicial}, tenemos respectivamente: @sp 1 @table @strong @item Nombre Ainicial @item m 900 @@ g @item vt 0 @item r 17.5 @@ cm @item y 0 @end table @sp 2 @table @strong @item Nombre Binicial @item m 350 @@ g @item vt 0 @item r 45 @@ cm @item y 0 @end table @sp 1 Los agregamos ahora al elemento Sistema inicial, al cual llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 Ainicial @item Objeto 2 Binicial @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Los dos elementos M@'ovil con movimiento circular de la parte inferior, representan el estado final. Llamando @emph{Afinal} a la esfera de 900 gramos y @emph{Bfinal} a la de 350 gramos, tenemos: @sp 1 @table @strong @item Nombre Afinal @item m 900 @@ g @item vt vtAfinal @item r 17.5 @@ cm @item y 0 @end table @sp 2 @table @strong @item Nombre Bfinal @item m 350 @@ g @item vt vtBfinal @item r 45 @@ cm @item y 0 @end table @sp 1 Y los agregamos ahora al elemento Sistema final, al cual llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 Afinal @item Objeto 2 Bfinal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora agregamos ambos sistemas al elemento Momento angular, donde ingresamos tambi@'en el momento aplicado: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item M 5 @end table @sp 1 Los agregamos tambi@'en al elemento Potencia, donde colocamos la potencia como una inc@'ognita: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item P potencia @end table @sp 1 Ahora en los elementos Velocidad angular, colocamos la velocidad angular final como una inc@'ognita (la misma para ambas esferas): @sp 1 @table @strong @item Objeto Afinal @item vang vang @end table @sp 2 @table @strong @item Objeto Bfinal @item vang vang @end table @sp 1 Para conocer la aceleraci@'on angular utilizaremos el elemento M@'ovil con movimiento circular perpendicular, aplic@'andole la fuerza producida por el momento aplicado. Pero como el sistema consta de dos esferas de diferente masa y diferente radio de giro, primero calcularemos la masa total y el radio de giro efectivo del sistema final, utilizando el elemento Inercia: @sp 1 @table @strong @item Sistema final @item m mTotal @item r radio @end table @sp 1 Ahora podemos obtener la fuerza correspondiente para este sistema utilizando el elemento Momento de una fuerza: @sp 1 @table @strong @item M 5 @item f Ft @item d radio @end table @sp 1 He ingresamos esta informaci@'on en el elemento M@'ovil con movimiento circular perpendicular, al que llamaremos @emph{sistema}. Como velocidad tangencial para este sistema colocaremos 0, el valor inicial (La aceleraci@'on centr@'{@dotless{i}}peta es constante, y por lo tanto la misma al principio y al final. Por otro lado, no conocemos la velocidad final de este m@'ovil.): @sp 1 @table @strong @item Nombre sistema @item m mTotal @item vt 0 @item r radio @item at at @item Ft Ft @item C > @end table @sp 1 Y para las fuerzas aplicadas: @sp 1 @table @strong @item f normal @end table @sp 2 @table @strong @item f centripeta @end table @sp 1 Por @'ultimo al elemento Aceleraci@'on angular le asignamos el elemento M@'ovil con movimiento circular perpendicular: @sp 1 @table @strong @item Objeto sistema @item aang aang @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example normal = 12.263 N ; centripeta = -0.000 N ; mTotal = 1.250 kg ; radio = 0.281 m ; Ft = 17.817 N ; aang = 50.794 rad/s2 ; vtAfinal = 10.667 m/s ; vtBfinal = 27.429 m/s ; vang = 60.952 rad/s ; potencia = 152.381 N*m/s ; at = 14.254 m/s2 ; Estado = success. @end example @page @node Ejemplo 7 (dc), Ejemplo 8 (dc), Ejemplo 6 (dc), Ejemplos dinamica circular @section Ejemplo 7 @cindex Ejemplo 7 (dc) Dos peque@~nas esferas de 300 gramos pueden resbalar sin rozamiento a lo largo de una barra horizontal, la cual a su vez puede girar libremente alrededor de un eje vertical. Inicialmente la barra gira a una velocidad angular constante de 9 rad/s. Mientras que una cuerda sujeta ambas esferas a una distancia de 15 cm del eje de rotaci@'on. Repentinamente la cuerda se rompe y las esferas se alejan del centro hasta detenerse en los topes en los extremos de la barra. Despreciando la masa de la barra, encuentre la velocidad angular final del sistema y la energ@'{@dotless{i}}a pedida por el choque de las esferas con los extremos. Asimismo encuentre la fuerza centr@'{@dotless{i}}peta y la aceleraci@'on centr@'{@dotless{i}}peta de las esferas al inicio y al final. @center @image{dc-e7-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, cuatro elementos M@'ovil con movimiento circular, dos elementos Fuerza, un elemento Sistema inicial, un elemento Sistema final, un elemento Energ@'{@dotless{i}}a, un elemento Momento angular, dos elementos Velocidad angular y dos elementos Aceleraci@'on centr@'{@dotless{i}}peta. Tal y como se muestra en la siguiente imagen: @center @image{dc-e7-2, 8cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y para este problema, el dato del tiempo es irrelevante. Ahora para los elementos M@'ovil con movimiento circular de la parte superior, que representan las esferas del estado inicial, y llam@'andolas @emph{Ainicial} y @emph{Binicial}, tenemos: @sp 1 @table @strong @item Nombre Ainicial @item m 300 @@ g @item vt vtInicial @item r 15 @@ cm @item y 0 @end table @sp 2 @table @strong @item Nombre Binicial @item m 300 @@ g @item vt vtInicial @item r 15 @@ cm @item y 0 @end table @sp 1 Ambas tienen la misma velocidad tangencial al inicio, la cual desconocemos. Ahora mediante uno de los elementos Velocidad angular, establecemos la velocidad angular inicial. S@'olo es necesario hacerlo para una de las esferas: @sp 1 @table @strong @item Objeto Ainicial @item vang 9 @end table @sp 1 Para el elemento Fuerza aplicada a un de estas esferas, y que representa la fuerza centr@'{@dotless{i}}peta, tenemos: @sp 1 @table @strong @item f centInicial @end table @sp 1 Solamente se agrego una fuerza ya que ambas esferas tienen la misma fuerza centr@'{@dotless{i}}peta. Ahora para uno de los elemento Aceleraci@'on centr@'{@dotless{i}}peta: @sp 1 @table @strong @item Objeto Ainicial @item ac acInicial @end table @sp 1 Estas esferas constituyen el estado inicial, por lo que las agregamos al elemento Sistema inicial, al que llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 Ainicial @item Objeto 2 Binicial @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para los elementos M@'ovil con movimiento circular de la parte inferior, que representan las esferas en el estado final, llam@'andolas @emph{Afinal} y @emph{Bfinal}, tenemos: @sp 1 @table @strong @item Nombre Afinal @item m 300 @@ g @item vt vtFinal @item r 43 @@ cm @item y 0 @end table @sp 2 @table @strong @item Nombre Bfinal @item m 300 @@ g @item vt vtFinal @item r 43 @@ cm @item y 0 @end table @sp 1 Ambos tienen la misma velocidad tangencial final. Para el elemento de fuerza aplicada: @sp 1 @table @strong @item f centFinal @end table @sp 1 Y para los elementos Velocidad angular y Aceleraci@'on centr@'{@dotless{i}}peta tenemos, respectivamente: @sp 1 @table @strong @item Objeto Afinal @item vang vangFinal @end table @sp 2 @table @strong @item Objeto Afinal @item ac acFinal @end table @sp 1 Estas esferas constituyen el estado final, por lo que las agregamos al elemento Sistema final, al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 Afinal @item Objeto 2 Bfinal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para el elemento Momento angular, tomando en cuenta que no hay momentos aplicados: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item M 0 @end table @sp 1 Y para el elemento Energ@'{@dotless{i}}a: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item W energia @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vangFinal = 1.095 rad/s ; acInicial = 12.150 m/s2 ; acFinal = 0.516 m/s2 ; vtInicial = 1.350 m/s ; vtFinal = 0.471 m/s ; centInicial = 3.645 N ; centFinal = 0.155 N ; energia = -0.480 N*m ; Estado = success. @end example @page @node Ejemplo 8 (dc), Ejemplo 9 (dc), Ejemplo 7 (dc), Ejemplos dinamica circular @section Ejemplo 8 @cindex Ejemplo 8 (dc) Un peque@~no disco de 500 gramos y otro de 1.5 kg est@'an atados por medio de una cuerda de 48 cm. Ambos discos giran, en el sentido de las manecillas del reloj, con una velocidad angular de 8 rad/s alrededor del centro de masa. En el momento mostrado en la imagen, el centro de masa interseca al eje X a 2 metros del origen, con una velocidad de 0.45 m/s a 55 grados de la horizontal. Momentos despu@'es la cuerda se rompe, y se observa que el disco de 1.5 kg se mueve paralelamente al eje X y que el disco de 500 gramos interseca al eje Y a una distancia de 4.6 m del origen. Encuentre a) La velocidad de ambos discos despu@'es de que se rompe la cuerda y b) la distancia d entre el eje X y la trayectoria del disco de 1.5 kg. @center @image{dc-e8-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora dos elementos M@'ovil con movimiento circular, dos elementos M@'ovil con movimiento rectil@'{@dotless{i}}neo, un elemento Centro de rotaci@'on, un elemento Sistema inicial, un elemento Sistema final, dos elementos Velocidad angular, un elemento Energ@'{@dotless{i}}a, un elemento Momento angular y un elemento Momento lineal. Tal y como se muestra en la siguiente imagen: @center @image{dc-e8-2, 6cm} Los dos elementos M@'ovil con movimiento circular de la parte izquierda representan el estado inicial del sistema. Tomando el de la izquierda como el disco de 500 gramos, al que llamaremos @emph{Ainicial}, y al de la derecha como el disco de 1.5 kg, al que llamaremos @emph{Binicial}, tenemos respectivamente (la distancia de cada disco al centro de rotaci@'on puede obtenerse usando la funci@'on @code{rd()}, y aplicando el factor de conversi@'on): @sp 1 @table @strong @item Nombre Ainicial @item m 500 @@ g @item vt vtA @item r 36 @@ cm @item y 0 @end table @sp 2 @table @strong @item Nombre Binicial @item m 1.5 @item vt vtB @item r 12 @@ cm @item y 0 @end table @sp 1 Las velocidades tangenciales son desconocidas. Pero conocemos la velocidad angular. Por lo tanto para los elementos velocidad angular tenemos, recordando que el giro es en el sentido en que se mueven las manecillas del reloj: @sp 1 @table @strong @item Objeto Ainicial @item vang -8 @end table @sp 2 @table @strong @item Objeto Binicial @item vang -8 @end table @sp 1 Ahora para el elemento Centro de rotaci@'on, que tambi@'en forma parte del estado inicial: @sp 1 @table @strong @item Nombre centro @item v 0.45 @item ang 55 @item x 2 @item y 0 @end table @sp 1 Como los dos elementos M@'ovil con movimiento circular y el elemento Centro de rotaci@'on constituyen el estado inicial, los agregamos al elemento Sistema inicial, al cual llamaremos @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item Objeto 1 centro @item Objeto 2 Ainicial @item Objeto 3 Binicial @item Objeto 4 0 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo en la parte superior derecha, que representa al disco de 500 gramos que interseca al eje Y tenemos, llam@'andolo @emph{Afinal}: @sp 1 @table @strong @item Nombre Afinal @item m 500 @@ g @item v vAfinal @item x 0 @item y 4.6 @item ang angA @item a 0 @end table @sp 1 Para el otro elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo en la parte inferior derecha, que representa al disco de 1.5 kg que viaja paralelo al eje X a una distancia d, tenemos, llam@'andolo @emph{Bfinal}: @sp 1 @table @strong @item Nombre Bfinal @item m 1.5 @item v vBfinal @item x 0 @item y d @item ang 0 @item a 0 @end table @sp 1 Estos dos elementos constituyen el estado final, por lo que los agregamos al elemento Sistema final al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 Afinal @item Objeto 2 Bfinal @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para el elemento Energ@'{@dotless{i}}a, sabiendo que la energ@'{@dotless{i}}a se conserva, tenemos: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item W 0 @end table @sp 1 Para el elemento Momento angular, teniendo en cuenta que no hay momentos externos aplicados: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item M 0 @end table @sp 1 Y para el elemento Momento lineal, y puesto que tampoco hay fuerzas externas aplicadas: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item Fx 0 @item Fy 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vBfinal = 1.145 m/s ; d = 2.761 m ; vtA = -2.880 m/s ; vtB = -0.960 m/s ; vAfinal = 2.818 m/s ; angA = 148.447 grados ; Estado = success. @end example @page @node Ejemplo 9 (dc), Ejemplo 10 (dc), Ejemplo 8 (dc), Ejemplos dinamica circular @section Ejemplo 9 @cindex Ejemplo 9 (dc) Un ni@~no de 30 kg se encuentra jugando sobre una pista de hielo. El ni@~no se mueve a una velocidad lineal de 5 m/s cuando pasa al lado de una caja de 9 kg, la cual tiene una cuerda atada. Si el ni@~no toma la cuerda, y una vez estirada esta la separaci@'on entre el ni@~no y la caja es de 6.5 metros, describa el movimiento subsecuente del sistema ni@~no-caja. @center @image{dc-e9-1, 7cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo, dos elementos M@'ovil con movimiento circular, un elemento Centro de rotaci@'on, un elemento Sistema final, dos elementos Velocidad angular, un elemento Momento angular y un elemento Momento lineal. Tal y como se muestra en la siguiente imagen: @center @image{dc-e9-2, 5cm} El elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo representa al ni@~no en el estado inicial. Suponiendo que inicialmente este se mueve a lo largo del eje X, tenemos: @sp 1 @table @strong @item Nombre ni@~noInicial @item m 30 @item v 5 @item x 0 @item y 0 @item ang 0 @item a 0 @end table @sp 1 Ahora el elemento Centro de rotaci@'on representa el centro alrededor del cual giran el ni@~no y la caja en el estado final. Notando que el @'angulo de inclinaci@'on de la cuerda, una vez tensa, con respecto a la horizontal es de 27.486 grados, y que la distancia del ni@~no al centro de rotaci@'on es de 1.5 metros, podemos obtener las coordenadas del centro de rotaci@'on como (estas operaciones pueden llevarse a cabo directamente en las entradas de la tabla): @example x = 1.5*cos(27.486) = 1.331 y = 1.5*sin(27.486) = 0.692 @end example As@'{@dotless{i}}, tenemos para este elemento: @sp 1 @table @strong @item Nombre centro @item v vCentro @item ang angCentro @item x 1.331 @item y 0.692 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular de la parte superior, que representa la caja, y calculando la distancia de esta al centro de rotaci@'on (5 m, este dato puede obtenerse usando la funci@'on @code{rd()}), tenemos: @sp 1 @table @strong @item Nombre cajaFinal @item m 9 @item vt vtCaja @item r 5 @item y 0 @end table @sp 1 Para el otro elemento M@'ovil con movimiento circular de la parte inferior derecha, que representa al ni@~no en el estado final, y calculando la distancia de este al centro de rotaci@'on (1.5 m, este dato puede obtenerse usando la funci@'on @code{rd()}), tenemos: @sp 1 @table @strong @item Nombre ni@~noFinal @item m 30 @item vt vtNi@~no @item r 1.5 @item y 0 @end table @sp 1 Tanto la caja como el ni@~no tienen la misma velocidad angular. Por lo tanto para los elementos Velocidad angular tenemos, respectivamente: @sp 1 @table @strong @item Objeto ni@~noFinal @item vang vang @end table @sp 2 @table @strong @item Objeto cajaFinal @item vang vang @end table @sp 1 El elemento Centro de rotaci@'on y los dos elementos M@'ovil con movimiento circular, constituyen el estado final. Los agregamos entonces al elemento Sistema final, al cual llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 centro @item Objeto 2 ni@~noFinal @item Objeto 3 cajaFinal @item Objeto 4 0 @end table @sp 1 Ahora para el elemento Momento angular, teniendo en cuenta que no hay momentos externos aplicados: @sp 1 @table @strong @item Sistema i ni@~noInicial @item Sistema f final @item M 0 @end table @sp 1 Y para el elemento Momento lineal, y puesto que tampoco hay fuerzas externas aplicadas: @sp 1 @table @strong @item Sistema i ni@~noInicial @item Sistema f final @item Fx 0 @item Fy 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vang = 0.355 rad/s ; vCentro = 3.846 m/s ; angCentro = 360.000 grados ; vtCaja = 1.774 m/s ; vtNi@~no = 0.532 m/s ; Estado = success. @end example El centro de rotaci@'on se mueve horizontalmente hacia la derecha con una velocidad de 3.846 m/s. Y el ni@~no y la caja giran, en sentido contrario a las manecillas del reloj, con una velocidad angular de 0.355 rad/s. @strong{Nota:} @emph{Advierta que en este problema la masa de 9 kg no aparece en el estado inicial. Esto es porque para este tipo de problemas F@'{@dotless{i}}sicaLab @'unicamente permite un objeto en el estado inicial. El objeto que esta inicialmente en movimiento.} @page @node Ejemplo 10 (dc), Ejemplo 11 (dc), Ejemplo 9 (dc), Ejemplos dinamica circular @section Ejemplo 10 @cindex Ejemplo 10 (dc) Tres masas se encuentran sobre una superficie horizontal sin fricci@'on. Dos de ellas, de 3 y 6 kg, se encuentran en reposo y est@'an unidas por una varilla ligera. La tercera, de 1 kg, se mueve con una velocidad de 4 m/s como se muestra en la imagen. Si esta impacta con la masa de 3 kg y rebota a 90 grados con una velocidad de 2 m/s @questiondown{}cual sera el movimiento subsecuente de las otras dos masas? Obt@'engase la velocidad absoluta de las masas de 3 y 6 kg justo despu@'es del impacto. @center @image{dc-e10-1, 6cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora dos elementos M@'ovil con movimiento rectil@'{@dotless{i}}neo, dos elementos M@'ovil con movimiento circular, un elemento Centro de rotaci@'on, un elemento Sistema final, un elemento Momento angular, un elemento Momento lineal, dos elementos Velocidad angular y dos elementos Velocidad absoluta. Tal y como se muestra en la siguiente imagen: @center @image{dc-e10-2, 6cm} El elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo a la izquierda, representa la masa de 1 kg en el estado inicial. Asumiendo que la masa de 6 kg se encuentra en el origen del sistema coordenado, tenemos para este elemento, llam@'andolo @emph{inicial}: @sp 1 @table @strong @item Nombre inicial @item m 1 @item v 4 @item x 0 @item y 20 @@ cm @item ang 0 @item a 0 @end table @sp 1 Ahora para el otro elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo, que representa la misma masa de 1 kg pero en el estado final, tenemos, llam@'andolo @emph{A} (La coordenada X es @code{40 cm*cos(30) = 34.641 cm}. Esta operaci@'on puede llevarse a cabo directamente en la entrada, y aplicando el factor de conversi@'on.): @sp 1 @table @strong @item Nombre A @item m 1 @item v 2 @item x 34.641 @@ cm @item y 0 @item ang 90 @item a 0 @end table @sp 1 Para el elemento Centro de rotaci@'on, alrededor del cual giran las masas de 3 y 6 kg en el estado final, notamos que este est@'a a 13.333 m de la masa de 6 kg. Por lo tanto sus coordenadas son (estas operaciones pueden llevarse a cabo directamente en las entradas de la tabla): @example x = 13.333*cos(30) = 11.547 y = 13.333*sin(30) = 6.666 @end example As@'{@dotless{i}}, tenemos para este elemento: @sp 1 @table @strong @item Nombre centro @item v vCentro @item ang angCentro @item x 11.547 @@ cm @item y 6.666 @@ cm @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular de la derecha, que representa la masa de 3 kg en el estado final, tenemos, llam@'andolo @emph{B} (la distancia al centro de rotaci@'on puede obtenerse usando la funci@'on @code{rd()}, y aplicando el factor de conversi@'on): @sp 1 @table @strong @item Nombre B @item m 3 @item vt vtB @item r 26.666 @@ cm @item y 0 @end table @sp 1 Y para el otro elemento M@'ovil con movimiento circular, que representa la masa de 6 kg en el estado final, tenemos, llam@'andolo @emph{C} (la distancia al centro de rotaci@'on puede obtenerse usando la funci@'on @code{rd()}, y aplicando el factor de conversi@'on): @sp 1 @table @strong @item Nombre C @item m 6 @item vt vtC @item r 13.333 @@ cm @item y 0 @end table @sp 1 Estos dos elementos giran con la misma velocidad angular. Por lo tanto, para los elementos Velocidad angular, tenemos, respectivamente: @sp 1 @table @strong @item Objeto B @item vang vang @end table @sp 2 @table @strong @item Objeto C @item vang vang @end table @sp 1 Estos tres m@'oviles y el centro de rotaci@'on constituyen el estado final, por lo que los agregamos al elemento Sistema final, al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 centro @item Objeto 2 A @item Objeto 3 B @item Objeto 4 C @end table @sp 1 Ya que se piden las velocidades absolutas de las masas de 3 y 6 kg (B y C), tenemos para los elementos Velocidad absoluta, respectivamente: @sp 1 @table @strong @item Objeto B @item angR 30 @item Centro centro @item v vB @item ang angB @end table @sp 2 @table @strong @item Objeto C @item angR 210 @item Center centro @item v vC @item ang angC @end table @sp 1 Ahora para el elemento Momento angular, y ya que no existe un momento externo, tenemos: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item M 0 @end table @sp 1 Y para el elemento Momento lineal, y puesto que tampoco hay fuerzas externas aplicadas: @sp 1 @table @strong @item Sistema i inicial @item Sistema f final @item Fx 0 @item Fy 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vang = -3.110 rad/s ; vtC = -0.415 m/s ; vB = 1.274 m/s ; angB = 312.412 grados ; vtB = -0.829 m/s ; vC = 0.274 m/s ; angC = 30.004 grados ; vCentro = 0.497 m/s ; angCentro = 333.435 grados ; Estado = success. @end example @strong{Nota:} @emph{Advierta que en este problema las masas de 3 y 6 kg no aparecen en el estado inicial. Esto es porque para este tipo de problemas F@'{@dotless{i}}sicaLab @'unicamente permite un objeto en el estado inicial. El objeto que esta inicialmente en movimiento. V@'ease tambi@'en el ejemplo anterior.} @page @node Ejemplo 11 (dc), Ejemplo 12 (dc), Ejemplo 10 (dc), Ejemplos dinamica circular @section Ejemplo 11 @cindex Ejemplo 11 (dc) Una masa de 0.1 slugs se suelta desde el reposo en A y resbala sin rozamiento a lo largo de la pista mostrada. Si el radio de curvatura de la parte inferior es de 3 ft, encuentre la fuerza que la pista ejerce sobre la masa cuando esta pasa por el punto B. @center @image{dc-e11-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades Ingl@'es, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, un elemento Masa en reposo, un elemento M@'ovil con movimiento circular, un elemento Fuerza y un elemento Energ@'{@dotless{i}}a. Tal y como se muestra en la siguiente imagen: @center @image{dc-e11-2, 5cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y el dato del tiempo es irrelevante para este problema. Ahora el elemento Masa en reposo representa a la masa en la posici@'on A. Si tomamos como referencia horizontal la posici@'on B, la coordenada Y de la masa sera de: @code{5 ft + 3*sin(30) ft = 5.5 ft} (esta operaci@'on puede llevarse a cabo directamente en la entrada de la tabla). As@'{@dotless{i}}, para este elemento tenemos: @sp 1 @table @strong @item Nombre A @item m 0.1 @item y 6.5 @end table @sp 1 Ahora para el elemento M@'ovil con movimiento circular, que representa a la masa en la posici@'on B, tenemos: @sp 1 @table @strong @item Nombre B @item m 0.1 @item vt vt @item r 3 @item y 0 @end table @sp 1 Y para el elemento Fuerza, que representa la normal aplicada por la superficie: @sp 1 @table @strong @item f normal @item ang 30 @end table @sp 1 Ahora para el elemento Energ@'{@dotless{i}}a (no hay trabajo realizado por fuerzas externas): @sp 1 @table @strong @item Sistema i A @item Sistema f B @item W 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example normal = 15.563 lb ; vt = 20.460 ft/s ; Estado = success. @end example @page @node Ejemplo 12 (dc), Ejemplo 13 (dc), Ejemplo 11 (dc), Ejemplos dinamica circular @section Ejemplo 12 @cindex Ejemplo 12 (dc) Una masa de 3 kg que viaja a 32 m/s, como se muestra en la imagen de abajo, explota separ@'andose en dos fragmentos. Si se observa que estos pasan por las coordenadas mostradas y que el fragmento de 1.8 kg tiene la direcci@'on indicada, encuentre la velocidad de ambos fragmentos, as@'{@dotless{i}} como la direcci@'on del fragmento de 1.2 kg. @center @image{dc-e12-1, 8cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora tres elementos M@'ovil con movimiento rectil@'{@dotless{i}}neo, un elemento Sistema final, un elemento Momento angular y un elemento Momento lineal. Tal y como se muestra en la siguiente imagen: @center @image{dc-e12-2, 6cm} Para el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo ubicado a la izquierda, que representa la masa inicial de 3 kg y que llamaremos @emph{A}, tenemos: @sp 1 @table @strong @item Nombre A @item m 3 @item v 32 @item x 0 @item y 4 @item ang 0 @item a 0 @end table @sp 1 Para el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo de la parte superior derecha, que representa al fragmento de 1.8 kg y que llamaremos @emph{B}, tenemos: @sp 1 @table @strong @item Nombre B @item m 1.8 @item v vB @item x 8 @item y 6.5 @item ang 38 @item a 0 @end table @sp 1 Y para el elemento M@'ovil con movimiento rectil@'{@dotless{i}}neo de la parte inferior derecha, que representa al fragmento de 1.2 kg y que llamaremos @emph{C}, tenemos: @sp 1 @table @strong @item Nombre C @item m 1.2 @item v vC @item x 7.5 @item y 0 @item ang angC @item a 0 @end table @sp 1 Los fragmentos B y C constituyen el estado final, por lo que los agregamos al elemento Sistema final, al que llamaremos @emph{final}: @sp 1 @table @strong @item Nombre final @item Objeto 1 B @item Objeto 2 C @item Objeto 3 0 @item Objeto 4 0 @end table @sp 1 Ahora para el elemento Momento angular, y ya que no existe un momento externo aplicado, tenemos: @sp 1 @table @strong @item Sistema i A @item Sistema f final @item M 0 @end table @sp 1 Y para el elemento Momento lineal, y puesto que tampoco hay fuerzas externas aplicadas: @sp 1 @table @strong @item Sistema i A @item Sistema f final @item Fx 0 @item Fy 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example vB = 44.313 m/s ; vC = 49.372 m/s ; angC = 304.018 grados ; Estado = success. @end example @page @node Ejemplo 13 (dc), , Ejemplo 12 (dc), Ejemplos dinamica circular @section Ejemplo 13 @cindex Ejemplo 13 (dc) Una peque@~na esfera de 400 gramos, atada a una cuerda de 60 cm, puede oscilar en un plano vertical. Si la esfera se suelta desde el reposo cuando la cuerda esta tensada en posici@'on horizontal. Y si la tensi@'on m@'axima que esta soporta es de 7 N @questiondown{}a que @'angulo se romper@'a la cuerda? @center @image{dc-e13-1, 5cm} @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Din@'amica y, dentro de este, el m@'odulo Circular. Seleccionamos tambi@'en el sistema de unidades SI, y borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento Sistema de referencia fijo, un elemento Masa en reposo, un elemento M@'ovil con movimiento circular, un elemento Fuerza, un elemento Energ@'{@dotless{i}}a y un elemento Seno del @'angulo. Tal y como se muestra en la siguiente imagen: @center @image{dc-e13-2, 5cm} El elemento Sistema de referencia fijo, agrega autom@'aticamente el valor de la gravedad. Y para este problema, el dato del tiempo es irrelevante. Ahora para el elemento Masa en reposo, que representa el estado inicial, y tomando como referencia horizontal esta posici@'on, tenemos: @sp 1 @table @strong @item Nombre A @item m 400 @@ g @item y 0 @end table @sp 1 Para el elemento M@'ovil con movimiento circular, que representa el estado final, y tomando en cuenta que tanto la velocidad como la altura son inc@'ognitas, tenemos: @sp 1 @table @strong @item Nombre B @item m 400 @@ g @item vt vt @item r 60 @@ cm @item y yB @end table @sp 1 Y para el elemento Fuerza, que representa la fuerza aplicada por la cuerda y tomando en cuenta que el @'angulo de la fuerza es el mismo que el de la cuerda, tenemos: @sp 1 @table @strong @item f 7 @item ang ang @end table @sp 1 Ahora para el elemento Seno del @'angulo, donde relacionamos la altura de la esfera en el estado final y el radio de giro con el @'angulo desconocido, tenemos: @sp 1 @table @strong @item y yB @item r 60 @@ cm @item ang ang @end table @sp 1 Por @'ultimo, para el elemento Energ@'{@dotless{i}}a (no hay trabajo realizado por fuerzas externas): @sp 1 @table @strong @item Sistema i A @item Sistema f B @item W 0 @end table @sp 1 Ingresados los datos, damos clic en el icono Resolver para obtener la respuesta: @example yB = -0.357 m ; ang = 36.486 grados ; vt = 2.646 m/s ; Estado = success. @end example trunk/Documentation/Manual/Spanish/kinematics-circular.texinfo0000777000076400007640000003041512734077040024535 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Cinematica circular, Ejemplos cinematica circular, Ejemplos cinematica, Top @chapter M@'odulo de cinem@'atica circular @cindex M@'odulo de cinem@'atica circular Los factores de conversi@'on disponibles en este m@'odulo para el sistema SI son: @sp 2 @table @strong @item km kil@'ometro @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item mi milla @item ft pie @item in pulgada @item h hora @item min minuto @item km/h kil@'ometros por hora @item cm/s cent@'{@dotless{i}}metros por segundo @item mm/s mil@'{@dotless{i}}metros por segundo @item mph millas por hora @item ft/s pies por segundo @item in/s pulgadas por segundo @item kt nudo @item cm/s2 cent@'{@dotless{i}}metros por segundo al cuadrado @item mm/s2 mil@'{@dotless{i}}metros por segundo al cuadrado @item ft/s2 pies por segundo al cuadrado @item in/s2 pulgadas por segundo al cuadrado @item rad radian @item rpm revoluciones por minuto @end table @page Y los disponibles para el sistema Ingl@'es son: @sp 2 @table @strong @item km kil@'ometro @item m metro @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item mi milla @item in pulgada @item h hora @item min minuto @item km/h kil@'ometros por hora @item m/s metros por segundo @item cm/s cent@'{@dotless{i}}metros por segundo @item mm/s mil@'{@dotless{i}}metros por segundo @item mph millas por hora @item in/s pulgadas por segundo @item kt nudo @item m/s2 metros por segundo al cuadrado @item cm/s2 cent@'{@dotless{i}}metros por segundo al cuadrado @item mm/s2 mil@'{@dotless{i}}metros por segundo al cuadrado @item in/s2 pulgadas por segundo al cuadrado @item rad radian @item rpm revoluciones por minuto @end table @sp 2 Este m@'odulo consta de 14 elementos, los cuales se presentan a continuaci@'on con una descripci@'on de cada uno, los datos que necesitan y el n@'umero de ecuaciones que establece cada uno. @menu * Sistema de referencia fijo: Sistema de referencia (cc). * M@'ovil circular: Movil circular (cc). * M@'ovil polar: Movil polar (cc). * Velocidad angular: Velocidad angular (cc). * Aceleraci@'on angular: Aceleracion angular (cc). * Aceleraci@'on total: Aceleracion total (cc). * Frecuencia: Frecuencia (cc). * Periodo: Periodo (cc). * N@'umero de vueltas: Vueltas (cc). * Centro de rotaci@'on: Centro de rotacion (cc). * Distancia: Distancia (cc). * Longitud de arco: Longitud de arco (cc). * Coordenada: Coordenada (cc). * Velocidad relativa: Velocidad relativa (cc). @end menu @node Sistema de referencia (cc), Movil circular (cc), Cinematica circular, Cinematica circular @section Sistema de referencia fijo @cindex Sistema de referencia fijo (cc) @image{s_fijo} Este elemento establece el sistema de referencia fijo, con el eje X horizontal y positivo a la derecha y el eje Y vertical y positivo hacia arriba. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item t: @tab Tiempo final del problema planteado. @end multitable @page @node Movil circular (cc), Movil polar (cc), Sistema de referencia (cc), Cinematica circular @section M@'ovil con movimiento circular @cindex M@'ovil con movimiento circular (cc) @image{m_circular} M@'ovil con un movimiento circular (radio constante). Los @'angulos se miden desde el eje X positivo, donde el sentido positivo es el contrario al movimiento de las manecillas del reloj. Asimismo, un valor positivo de la velocidad tangencial, indica que el m@'ovil gira en sentido contrario a las manecillas del reloj. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Nombre: @tab Nombre del m@'ovil. @item C: @tab Punto que hace de centro para el movimiento circular. Si no se especifica ninguno, se toma el origen como centro de rotaci@'on. @item r: @tab Radio de la circunferencia descrita. @item aci: @tab Aceleraci@'on centr@'{@dotless{i}}peta al tiempo inicial. @item at: @tab Aceleraci@'on tangencial. @item angi: @tab @'Angulo de la posici@'on inicial del m@'ovil. @item vi: @tab Velocidad tangencial inicial. @item ti: @tab Tiempo al que comienza a moverse el m@'ovil. @item angf: @tab @'Angulo de la posici@'on final del m@'ovil. @item vf: @tab Velocidad tangencial final. @item acf: @tab Aceleraci@'on centr@'{@dotless{i}}peta al tiempo final. @end multitable @page @node Movil polar (cc), Velocidad angular (cc), Movil circular (cc), Cinematica circular @section M@'ovil con movimiento polar @cindex M@'ovil con movimiento polar (cc) @image{m_polar} M@'ovil con un movimiento circular descrito seg@'un coordenadas polares. Los @'angulos se miden desde el eje X positivo, donde el sentido positivo es el contrario al movimiento de las manecillas del reloj. Asimismo, un valor positivo de la velocidad angular, indica que el m@'ovil gira en sentido contrario a las manecillas del reloj. Y un valor positivo de la velocidad radial, indica que el m@'ovil se aleja del centro de rotaci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Nombre: @tab Nombre del m@'ovil. @item C: @tab Punto que hace de centro para el movimiento circular. Si no se especifica ninguno, se toma el origen como centro de rotaci@'on. @item aa: @tab Aceleraci@'on angular. @item ar: @tab Aceleraci@'on radial. @item angi: @tab @'Angulo de la posici@'on inicial del m@'ovil. @item ri: @tab Radio inicial del m@'ovil. @item vai: @tab Velocidad angular inicial. @item vri: @tab Velocidad radial inicial. @item ti: @tab Tiempo al que comienza a moverse el m@'ovil. @item angf: @tab @'Angulo de la posici@'on final del m@'ovil. @item rf: @tab Radio final del m@'ovil. @item vaf: @tab Velocidad angular final. @item vrf: @tab Velocidad radial final. @end multitable @page @node Velocidad angular (cc), Aceleracion angular (cc), Movil polar (cc), Cinematica circular @section Velocidad angular @cindex Velocidad angular (cc) @image{v_angular} Mide la velocidad angular del m@'ovil indicado. Solamente es aplicable a elementos M@'ovil con movimiento circular. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil a medir. @item vangi: @tab Velocidad angular al tiempo inicial. @item vangf: @tab Velocidad angular al tiempo final. @end multitable @node Aceleracion angular (cc), Aceleracion total (cc), Velocidad angular (cc), Cinematica circular @section Aceleraci@'on angular @cindex Aceleraci@'on angular (cc) @image{a_angular} Mide la aceleraci@'on angular del m@'ovil indicado. Solamente es aplicable a elementos M@'ovil con movimiento circular. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil a medir. @item aang: @tab Aceleraci@'on angular. @end multitable @page @node Aceleracion total (cc), Frecuencia (cc), Aceleracion angular (cc), Cinematica circular @section Aceleraci@'on total @cindex Aceleraci@'on total (cc) @image{acel_total} Mide la aceleraci@'on total del m@'ovil indicado. El @'angulo se mide desde el radio vector en el sentido contrario a las manecillas del reloj. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 4 @headitem Datos: @tab @item Objeto: @tab Nombre del objeto a medir. @item atoti: @tab Magnitud de la aceleraci@'on total al tiempo inicial. @item aangi: @tab @'Angulo del vector aceleraci@'on total al inicio. @item atotf: @tab Magnitud de la aceleraci@'on total al tiempo final. @item aangf: @tab @'Angulo del vector aceleraci@'on total al final. @end multitable @node Frecuencia (cc), Periodo (cc), Aceleracion total (cc), Cinematica circular @section Frecuencia @cindex Frecuencia (cc) @image{frecuencia} Mide la frecuencia del m@'ovil indicado. Para el caso de un m@'ovil con aceleraci@'on tangencial o radial, la frecuencia calculada es el valor promedio. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del objeto a medir. @item f: @tab Frecuencia. @end multitable @page @node Periodo (cc), Vueltas (cc), Frecuencia (cc), Cinematica circular @section Periodo @cindex Periodo (cc) @image{periodo} Mide el periodo del movimiento circular del m@'ovil indicado. Para el caso de un m@'ovil con aceleraci@'on tangencial o radial, el periodo calculado es el valor promedio. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del objeto a medir. @item T: @tab Periodo. @end multitable @node Vueltas (cc), Centro de rotacion (cc), Periodo (cc), Cinematica circular @section N@'umero de vueltas @cindex N@'umero de vueltas (cc) @image{vueltas} Mide el n@'umero de vueltas realizadas por el m@'ovil indicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del objeto a medir. @item n: @tab N@'umero de vueltas realizadas por el m@'ovil. @end multitable @page @node Centro de rotacion (cc), Distancia (cc), Vueltas (cc), Cinematica circular @section Centro de rotaci@'on @cindex Centro de rotaci@'on (cc) @image{p_estatica} Especifica un centro de rotaci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna @headitem Datos: @tab @item Nombre: @tab Nombre del punto. @item x: @tab Coordenada X del punto. @item y: @tab Coordenada Y del punto. @end multitable @node Distancia (cc), Longitud de arco (cc), Centro de rotacion (cc), Cinematica circular @section Distancia @cindex Distancia (cc) @image{distancia} Mide la distancia entre los m@'oviles indicados al tiempo final. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto 1: @tab Nombre del primer objeto. @item Objeto 2: @tab Nombre del segundo objeto. @item d: @tab Distancia entre los m@'oviles. @end multitable @page @node Longitud de arco (cc), Coordenada (cc), Distancia (cc), Cinematica circular @section Longitud de arco @cindex Longitud de arco (cc) @image{arco} Mide la longitud del arco descrito por el m@'ovil indicado. Para el caso de un m@'ovil con movimiento radial, la longitud del arco recorrido es una aproximaci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil. @item s: @tab Longitud del arco descrito. @end multitable @node Coordenada (cc), Velocidad relativa (cc), Longitud de arco (cc), Cinematica circular @section Coordenada @cindex Coordenada (cc) @image{coordenada} Obtiene la coordenada final del m@'ovil indicado. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil a medir. @item x: @tab Coordenada X. @item y: @tab Coordenada Y. @end multitable @page @node Velocidad relativa (cc), , Coordenada (cc), Cinematica circular @section Velocidad relativa @cindex Velocidad relativa (cc) @image{v_rel} Mide la velocidad relativa del m@'ovil Objeto1 en relaci@'on al m@'ovil Objeto2. El @'angulo se mide desde el eje X positivo, donde el sentido positivo es el contrario al movimiento de las manecillas del reloj. Tambi@'en puede utilizarse para medir la velocidad relativa (en este caso la velocidad total) de un elemento M@'ovil con movimiento circular polar en relaci@'on a su centro de rotaci@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto 1: @tab Nombre del primer m@'ovil. @item Objeto 2: @tab Nombre del segundo m@'ovil. @item v: @tab Magnitud de la velocidad relativa. @item ang: @tab @'Angulo del vector velocidad relativa. @end multitable trunk/Documentation/Manual/Spanish/fricciones.png0000777000076400007640000000452612734077040022044 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڥQ ߳.u9Uf@t9(_-x< PX&?ӆy6qGc[Cpy,@Dc#r@ ^DVR` "RJK1 Wh:)d9te!ܮ1y6]N[S5KT 7F}7nc"A[nH3O=MհOp M3n<]m&جXgn:NzT nr޹-Kn@ (R&Lppp4p^Rٰp.7KP-l؎o &;HnrpW0P-}e4a=(v!jȕI݄ sGJ Xyihci&&R>L*("+y2 twnFFk[4fUM] \ -m=nj+[6~KQju5Izpzp3(w'\JC/ͩJx;'XB%vlmcsHk|>'TSBnjvGW|JyPplr/|M=sy震☆= 7 =#WXxBܨp>[TW[[~tZi^l} U>Zj# <VsJC=ruur}Jg}:YyE\\-Wͻ\q/Zަ#=oT|0kS*Y|Xtǃ#@OXmDimb)}SM̩*hzl*6IO,jMd UsV3XیIi hvj[cz<0R]j.SN3T7ctX5>9cمs:<>\7]ŲqݝD O@=I[T576ߖTl-c>v85N&h-T/hVzﯦԞKUbnYk~P[~|⍟y/+ mYuyN.TcBb1ߥw+d>tIԑB-=N_zműR~̦MLX"U.HSsh*f(kbfWZVJxͣcN3oWb\#_Ԗ/efBr{xD5B^+W'y-?b~(7܁>׫f ӞstdO仇x~Us,LmȰ_b'yCz∆nWК2}8;67[ 716yi6 vCᎳ`A1ŷQg'~ TB-_mxkq \5> sΦ͏Uح!ahixOlSl^jHBC;vixXs{a݈?NHH248œ"qtR̟ CӹJNd؝M 0?g ʟ >;VM2 /;:q܁Tjּgʩo4;vfjciwҕoKL PH _.]qkZlĥ.8ᗥr1{BU^T3ӂҋԣKZ0WoԣxtnZ"7Zp BtEXtcommentCreated with GIMP@%tEXtdate:create2013-01-17T23:30:30-06:00VG4%tEXtdate:modify2012-09-19T12:50:55-06:00tEXttiff:alphaunassociated(FtEXttiff:document/home/german/Proyectos/GSfisica/dinamica/friccionesd.tif=e tEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/masaLin.png0000777000076400007640000000445012734077040021300 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڕA D}  8m$ogf?_NyTSؼ~}0 Ð,iLK*L)+\rc P2e 0Zkw&uh_0qsgzm.~t6F0v6ޥi4ON=~b{7 Ŭ틜َ$%i&N_;G vpAg00WdIDAThmL_M1&@ )5$!Id,%HU66Z*]4mlv~l&Jڨm-VN]I$Ay[B 5``<x0'^s a=E; sD8Ap#(Mˇ~6bq{U*ڈ Q@nҌ_bK@r#^]Q:rjNppd.=IE 0FѾ!qT!*5'hphْ6"P7_!eG;&!hX(q)!̽O3䊘=vzE! 촟LwVow%ݐ+B;][pxI.GBӲ= yf荒h>fh;ISe ][q!;3:]ww<@~NONGSd ooM[e5L^!I0HFE&Z7>7kk7uvaaRY**VnnL :!GML;)4;/P۴IO I|IJ5!#whWү^GBT]_j-.D7^tXL |jBF& O4Tv&4z>ZּukSS7IMkʝ=E# );y`ѤgX$Cs N+LhUFHb[VL_G)?Du&4K_{_lZە@qɗX%H D}%eTOkX,IR Mno8L1]*ե$Ͳsd?,˟ AUɚ=O${o0IaYWA"JmݦzH@!]ÔQ;*I ҟ'^޼(Q&4oi^N uxSuOқc+ADld={1m'yZr'mA=>̯y(#!:V~/AC7.\@EE9@5Vة7PFBtfmv~Y䳲ػ5ݯO),hV8WvܩV)_QOdiƪa2E\@}~Fn;55?@I47?‘#M5`V)`{a/r]Y>58of;™308==|P(6NX3[@ԉ, CTk}>c6xLXgP*'ZOfQa);?Z1;%u.\Vc/RTt8yr/ƾ}IIA8|s؞}â}U+*ssJU=gO&i)c>lx Gqxbu|kQv<6Jp'2e vgT߿[Xi, c^1R&n^=| 2tEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:11:31-06:00gA%tEXtdate:modify2012-05-23T21:30:28-06:00 tEXttiff:alphaunassociated(btEXttiff:document/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/dinamicaCircular/masaLin.tif[^HtEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/kinematics-examples.texinfo0000777000076400007640000004477112734077040024561 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Ejemplos cinematica, Cinematica circular, Cinematica, Top @chapter Ejemplos de cinem@'atica de part@'{@dotless{i}}culas @cindex Ejemplos de cinem@'atica de part@'{@dotless{i}}culas @menu * Ejemplo 1 (c):: * Ejemplo 2 (c):: * Ejemplo 3 (c):: * Ejemplo 4 (c):: * Ejemplo 5 (c):: * Ejemplo 6 (c):: * Ejemplo 7 (c):: @end menu @node Ejemplo 1 (c), Ejemplo 2 (c), Ejemplos cinematica, Ejemplos cinematica @section Ejemplo 1 @cindex Ejemplo 1 (c) Un autom@'ovil parte del reposo con una aceleraci@'on de 3 m/s2, @questiondown{}Que velocidad, en km/h, tiene despu@'es de 7 segundos? @questiondown{}Que distancia en metros a recorrido? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Seleccionamos el grupo Cinem@'atica y, dentro de este, el m@'odulo Puntual (este es el m@'odulo seleccionado por defecto). Si la Pizarra contiene elementos, los borramos dando un clic en el icono Borrar todo. Seleccionamos entonces el sistema de unidades SI (el sistema de unidades por defecto). Y ahora agregamos a la Pizarra un elemento M@'ovil en X y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{k-e1} En el elemento Sistema de referencia fijo, el tiempo final es un dato conocido, 7 segundos. Por lo que colocamos 7. @sp 1 @table @strong @item tf 7 @end table @sp 1 En el elemento M@'ovil en X, colocamos como nombre del m@'ovil @emph{Auto} (en realidad, este dato es irrelevante para este ejemplo). Asumimos que el m@'ovil se mueve en la direcci@'on del eje X positivo, y que parte del origen al tiempo 0. Con esto, en aceleraci@'on colocamos la aceleraci@'on dada, 3. Para el dato de coordenada inicial en X, dejamos 0. En el dato de velocidad inicial, dejamos tambi@'en el valor 0. Para el dato del tiempo en que comienza a moverse el auto, dejamos tambi@'en 0. Para el dato de coordenada X final, coloquemos d (de distancia). Y para la velocidad final colocamos: @sp 1 @example vf @@ km/h @end example @sp 1 Los datos ingresados quedan como: @sp 1 @table @strong @item Nombre Auto @item ax 3 @item xi 0 @item vxi 0 @item ti 0 @item xf d @item vxf vf @@ km/h @end table @sp 1 Una vez ingresados los datos, damos un clic en el icono de Resolver, y F@'{@dotless{i}}sicaLab mostrara el resultado. @example d = 73.500 m ; vf = 75.600 km/h ; Estado = success. @end example En caso de que se obtenga un mensaje de error, verif@'{@dotless{i}}quese que los datos est@'en ingresados correctamente. @page @node Ejemplo 2 (c), Ejemplo 3 (c), Ejemplo 1 (c), Ejemplos cinematica @section Ejemplo 2 @cindex Ejemplo 2 (c) Un autom@'ovil parte de un punto B a una velocidad de 75 km/h, hacia el este. 8 minutos despu@'es, un segundo autom@'ovil parte de un punto A, a 5 km al oeste del punto B, con una velocidad de 88 km/h y tambi@'en hacia el este. @questiondown{}En cuantos minutos este @'ultimo auto le da alcance al que sali@'o de B? @questiondown{}A que distancia, en km, se encuentran del punto A en ese momento? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Una vez seleccionado el m@'odulo correspondiente y el sistema de unidades, borramos todo lo que contenga la Pizarra. Agregamos ahora dos elementos M@'ovil en X con velocidad constante, y un elemento Sistema de referencia fijo, como se muestra en la siguiente imagen: @center @image{k-e2} Donde el elemento de la izquierda es el auto que sale de A. Ahora en el elemento Sistema de referencia fijo, colocamos: @sp 1 @table @strong @item tf t @@ min @end table @sp 1 para el tiempo final, ya que el tiempo final es una inc@'ognita, y queremos el resultado en minutos. En el elemento M@'ovil en X con velocidad constante de la izquierda, colocamos los datos del auto que sale de A. El cual supondremos que esta en el origen del sistema de referencia. Por tanto, sus datos quedan de la siguiente forma: @sp 1 @table @strong @item Nombre Auto A @item xi 0 @item xf d @@ km @item ti 8 @@ min @item vx 88 @@ km/h @end table @sp 1 Y para el auto que sale de B tenemos: @sp 1 @table @strong @item Nombre Auto B @item xi 5 @@ km @item xf d @@ km @item ti 0 @item vx 75 @@ km/h @end table @sp 1 Obs@'ervese que la coordenada inicial para este auto, esta a 5 km del origen (hacia el este del punto A), puesto que esa es la distancia que inicialmente separa a los autos. Obs@'ervese tambi@'en que la inc@'ognita para la distancia final se a colocado en los dos autos con el factor de conversi@'on para kil@'ometros. Si el factor se coloca s@'olo en uno de los autos, F@'{@dotless{i}}sicaLab entender@'a que se trata de inc@'ognitas diferentes. Pero en este caso, es la misma inc@'ognita, la distancia a la que el auto que sale de A le da alcance al auto que sale de B. Ingresados los datos correctamente, damos un clic en el icono de Resolver, para obtener la soluci@'on: @example d = 101.538 k m ; t = 77.231 min ; Estado = success. @end example @page @node Ejemplo 3 (c), Ejemplo 4 (c), Ejemplo 2 (c), Ejemplos cinematica @section Ejemplo 3 @cindex Ejemplo 3 (c) Dos autos salen del mismo punto, uno con velocidad de 80 km/h a 50 grados del este, en direcci@'on nor-este. El otro a una velocidad de 95 km/h hacia el este. @questiondown{}En que instante, a partir del momento en que salen, est@'an separados 50 km? De la respuesta en minutos. @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Una vez seleccionado el m@'odulo correspondiente y el sistema de unidades, borramos todo lo que contenga la Pizarra. Agregamos ahora un elemento M@'ovil Radial, un elemento M@'ovil en X con velocidad constante, un elemento Sistema de referencia fijo, y un elemento Distancia como se muestra en la siguiente imagen: @center @image{k-e3} El tiempo en el elemento Sistema de referencia fijo es, por supuesto, una inc@'ognita. Por lo tanto escribimos: @sp 1 @table @strong @item tf t @@ min @end table @sp 1 Suponiendo que los dos autom@'oviles parten desde el origen del sistema coordenado al tiempo 0, tenemos, para el m@'ovil radial, los siguientes datos: @sp 1 @table @strong @item Nombre Auto 1 @item a 0 @item angf 50 @item xi 0 @item yi 0 @item vi 88 @@ km/h @item ti 0 @item xf xf1 @item yf yf1 @item vf vf1 @end table @sp 1 Para este ejemplo, el nombre del m@'ovil es importante, ya que necesitamos hacer referencia a el posteriormente. Ponemos, por tanto, el nombre de @emph{Auto 1}. Este elemento tiene adem@'as un campo para la aceleraci@'on. Sin embargo, como el auto va a velocidad constante, se ha puesto 0. Los datos para coordenada X final y Y final, son inc@'ognitas, aunque el problema no los pida. Por lo tanto se colocan como tal, xf1 (coordenada X final del auto 1) y yf1 (coordenada Y final del auto 1). El dato para la velocidad final, debemos colocarlo como inc@'ognita, ya que al tener el elemento un dato para la aceleraci@'on, F@'{@dotless{i}}sicaLab asume que la velocidad final debe ser diferente a la inicial ( y para cumplir con el requisito de n@'umero de ecuaciones = n@'umero de inc@'ognitas). Claro esta, que al ser 0 la aceleraci@'on, la velocidad final sera igual a la inicial. Ahora, para el m@'ovil en X a velocidad constante, tenemos los datos: @sp 1 @table @strong @item Nombre Auto 2 @item xi 0 @item xf xf2 @item ti 0 @item vx 95 @@ km/h @end table @sp 1 Este m@'ovil lleva el nombre @emph{Auto 2}. Y su coordenada X final es una inc@'ognita, xf2 (coordenada final del auto 2). Y para el elemento distancia: @sp 1 @table @strong @item Objeto 1 Auto 1 @item Objeto 2 Auto 2 @item d 50 @@ km @end table @sp 1 Donde Objeto 1 y Objeto 2 son, respectivamente, el @emph{Auto 1} y el @emph{Auto 2}. Y @emph{d} es la distancia entre el Objeto 1 y el Objeto 2, que en este caso es de 50 kil@'ometros. Ingresados los datos, damos un clic en el icono de Resolver para obtener la respuesta: @example xf1 = 36447.231 m ; yf1 = 43436.119 m ; vf1 = 24.444 m/s ; t = 38.660 min ; xf2 = 61212.198 m ; Estado = success. @end example Donde el dato que nos interesa es t = 38.660 min. @page @node Ejemplo 4 (c), Ejemplo 5 (c), Ejemplo 3 (c), Ejemplos cinematica @section Ejemplo 4 @cindex Ejemplo 4 (c) Un proyectil se dispara a un @'angulo de 35 grados con una velocidad inicial de 17 m/s. Se desea conocer su altura m@'axima y el alcance del proyectil (suponiendo que cae al mismo nivel del que fue lanzado). @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Una vez seleccionado el m@'odulo correspondiente y el sistema de unidades, borramos todo lo que contenga la Pizarra. Agregamos entonces un elemento Ca@~n@'on y un Sistema de referencia fijo. @center @image{k-e4} El tiempo final es una inc@'ognita, tenemos entonces para el Sistema de referencia fijo: @sp 1 @table @strong @item tf t @end table @sp 1 Ahora bien, se nos pregunta la altura m@'axima y el alcance horizontal, datos que corresponden a tiempos diferentes. Por lo que deberemos plantear primero el problema para encontrar la altura m@'axima, y luego replantearlo para encontrar el alcance horizontal. @sp 2 @strong{Soluci@'on para la altura m@'axima} Para este caso, el elemento Ca@~n@'on tiene los siguientes datos: @sp 1 @table @strong @item Nombre Proyectil @item ax 0 @item ay -9.81 @item xi 0 @item yi 0 @item vi 17 @item angi 35 @item ti 0 @item xf xf @item yf yf @item vf vf @item angf 0 @end table @sp 1 El nombre del m@'ovil es @emph{Proyectil} (este dato es irrelevante para este ejemplo). La aceleraci@'on en X es 0, pero la aceleraci@'on en Y es la de la gravedad -9.81. Recordemos que el eje Y es positivo hacia arriba, por lo tanto la gravedad debe llevar signo negativo. Suponemos que el proyectil parte del origen del sistema coordenado, y por lo tanto xi y yi son ambos 0. La velocidad inicial es de 17. El @'angulo de lanzamiento es de 35 grados, el tiempo al cual ocurre el lanzamiento lo suponemos 0. Las coordenadas xf y yf son ambas inc@'ognitas, as@'{@dotless{i}} como la velocidad final, vf. Pero sabemos que en el punto m@'as alto de la trayectoria, el vector velocidad es horizontal (@'angulo de elevaci@'on 0). Por lo que colocamos 0 para el dato angf (@'angulo final). Ingresados los datos. damos clic en el icono de Resolver para obtener la respuesta: @example xf = 13.842 m ; yf = 4.846 m ; vf = 13.926 m/s ; t = 0.994 s ; Estado = success. @end example Donde el dato que nos interesa es yf = 4.846 m. Multiplicando el resultado xf por dos, podemos obtener el alcance horizontal. Sin embargo, veremos como replantear el problema para obtener este resultado directamente. @sp 2 @strong{Soluci@'on para el alcance horizontal} Hay varias formas de proceder para encontrar el alcance horizontal. Aqu@'{@dotless{i}} procederemos de la siguiente forma. Sabemos que cuando el objeto caiga al suelo, su altura final, yf, sera 0. La velocidad al tocar el suelo la conocemos, pero la dejaremos como inc@'ognita. El @'angulo tambi@'en lo conocemos, pero lo dejaremos como inc@'ognita. De esta forma, el elemento Ca@~n@'on queda de la siguiente forma: @sp 1 @table @strong @item Nombre Proyectil @item ax 0 @item ay -9.81 @item xi 0 @item yi 0 @item vi 17 @item angi 35 @item ti 0 @item xf xf @item yf 0 @item vf vf @item angf angf @end table @sp 1 Damos clic en el icono de Resolver y obtenemos la soluci@'on: @example xf = 27.683 m ; vf = 17.000 m/s ; angf = -35.000 grados ; t = 1.988 s ; Estado = success. @end example @strong{NOTA:} @emph{Si se deseara conocer en que momento el proyectil esta a una altura de, por ejemplo, 2 metros. Debemos primero decidir que parte de la trayectoria nos interesa. Ya que hay dos soluciones, una cuando el proyectil va ascendiendo y otra cuando va descendiendo. Si partimos del momento del lanzamiento, F@'{@dotless{i}}sicaLab nos dar@'a la respuesta para cuando el proyectil va ascendiendo. Pero, si se desea el dato para cuando va descendiendo, debe elegirse como punto de partida una posici@'on igual o posterior, a la que tiene cuando alcanza los 2 metros de altura en el ascenso. Uno de estos puntos puede ser, por ejemplo, la posici@'on que tiene cuando alcanza la altura m@'axima.} @page @node Ejemplo 5 (c), Ejemplo 6 (c), Ejemplo 4 (c), Ejemplos cinematica @section Ejemplo 5 @cindex Ejemplo 5 (c) Un joven desea cruzar nadando un r@'{@dotless{i}}o que tiene un ancho de 25 metros, y cuya corriente tiene una velocidad de 7 m/s. Si el joven puede nadar a una velocidad de 2 m/s, y parte en direcci@'on perpendicular a la orilla del r@'{@dotless{i}}o. @questiondown{}Que tiempo, en segundos, le toma cruzar el r@'{@dotless{i}}o? @questiondown{}Que distancia, en metros, lo arrastra el r@'{@dotless{i}}o durante ese tiempo? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Primero que nada, debemos notar que el r@'{@dotless{i}}o constituye un sistema de referencia m@'ovil, y que la velocidad del nadador es en relaci@'on a este sistema de referencia. Teniendo esto claro, suponemos que el r@'{@dotless{i}}o se mueve en la direcci@'on del eje X positivo, y que el nadador avanza en la direcci@'on del eje Y positivo, dentro del sistema de referencia m@'ovil. Con esto establecido, borramos la Pizarra, seleccionamos el sistema SI, y agregamos un elemento M@'ovil en Y con velocidad constante, un elemento Sistema de referencia m@'ovil en X, y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{k-e5} Como el tiempo final es una inc@'ognita, lo colocamos como tal en el Sistema de referencia fijo: @sp 1 @table @strong @item tf t @end table @sp 1 Para el M@'ovil en Y con velocidad constante, que representa al nadador, tenemos: @sp 1 @table @strong @item Nombre Nadador @item yi 0 @item yf 25 @item ti 0 @item vy 2 @end table @sp 1 Donde la coordenada final en Y, yf, es el ancho del r@'{@dotless{i}}o. Y su velocidad es de 2 m/s. Por @'ultimo, para el Sistema de referencia m@'ovil en X, tenemos: @sp 1 @table @strong @item Nombre Sistema movil @item Objecto Nadador @item xsi 0 @item vsx 7 @item xof xf @item vxof vf @end table @sp 1 Donde el nombre, @emph{Sistema m@'ovil}, es irrelevante para este ejemplo. En Objeto, colocamos Nadador, el nombre del m@'ovil cuyos datos est@'an medidos en relaci@'on a este sistema m@'ovil. La coordenada inicial para este sistema m@'ovil, xsi, la colocamos por simplicidad en 0. Su velocidad en X, vsx, en relaci@'on al sistema fijo (la orilla) es de 7 m/s. La coordenada final en X del objeto, xof, en este caso el nadador, es una inc@'ognita, por lo que colocamos xf. La velocidad final en X del objeto, vxof, la colocamos como una inc@'ognita, aunque sabemos que es de 7 m/s, por no tener la velocidad del nadador una componente en X. Pero la colocamos como inc@'ognita para satisfacer n@'umero de inc@'ognitas = n@'umero de ecuaciones. Dando un clic en el icono de Resolver, obtenemos la soluci@'on: @example t = 12.500 s ; xf = 87.500 m ; vf = 7.000 m/s ; Estado = success. @end example @page @node Ejemplo 6 (c), Ejemplo 7 (c), Ejemplo 5 (c), Ejemplos cinematica @section Ejemplo 6 @cindex Ejemplo 6 (c) Dos autos, A y B, parten al mismo tiempo de un punto. El auto A viaja hacia el norte con una velocidad constante de 80 km/h. El B parte hacia el este con una aceleraci@'on de 4 m/s2. @questiondown{}Cual es la velocidad del auto A, relativa al auto B, 13 segundos despu@'es de haber partido? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Una vez seleccionado el m@'odulo correspondiente y el sistema de unidades, borramos todo lo que contenga la Pizarra. Agregamos entonces un elemento M@'ovil en Y con velocidad constante, un elemento M@'ovil en X, un elemento Velocidad relativa, y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{k-e6} Como el tiempo final es conocido, tenemos para el elemento Sistema de referencia fijo: @sp 1 @table @strong @item tf 13 @end table @sp 1 Para el elemento M@'ovil en Y con velocidad constante tenemos: @sp 1 @table @strong @item Nombre Auto A @item yi 0 @item yf yf @item ti 0 @item vy 80 @@ km/h @end table @sp 1 Donde la coordenada Y final es una inc@'ognita. En el elemento M@'ovil en X: @sp 1 @table @strong @item Nombre Auto B @item ax 4 @item xi 0 @item vxi 0 @item ti 0 @item xf xf @item vxf vxf @end table @sp 1 Tanto la coordenada X final, como la velocidad final en X son inc@'ognitas. Y para el elemento Velocidad relativa: @sp 1 @table @strong @item Objeto 1 Auto A @item Objeto 2 Auto B @item v v @item ang ang @end table @sp 1 Donde tanto la magnitud como la direcci@'on de la velocidad relativa, son inc@'ognitas. Ingresados los datos, damos clic en el icono de Resolver para obtener la respuesta: @example v = 56.549 m/s ; ang = 156.861 grados ; xf = 338.000 m ; vxf = 52.000 m/s ; yf = 288.889 m ; Estado = success. @end example @page @node Ejemplo 7 (c), , Ejemplo 6 (c), Ejemplos cinematica @section Ejemplo 7 @cindex Ejemplo 7 (c) Un auto A que viaja a una velocidad de 110 km/h pasa al lado de un auto B estacionado al lado de la carretera. 4 segundos despu@'es, el auto B comienza a moverse con una aceleraci@'on de 2.6 m/s2 en persecuci@'on del auto A. @questiondown{}Cuantos segundos transcurren hasta que el auto B esta 5 metros detr@'as del auto A? @sp 2 @strong{Soluci@'on con F@'{@dotless{i}}sicaLab} Una vez seleccionado el m@'odulo correspondiente y el sistema de unidades, borramos todo lo que contenga la Pizarra. Agregamos entonces un elemento M@'ovil en X con velocidad constante, un elemento M@'ovil en X, un elemento Distancia XY, y un Sistema de referencia fijo, como muestra la siguiente imagen: @center @image{k-e7} Como el tiempo final es desconocido, tenemos para el elemento Sistema de referencia fijo: @sp 1 @table @strong @item tf t @end table @sp 1 Suponiendo que ambos autos se mueven en la direcci@'on positiva del eje X y que parten del origen, para el elemento M@'ovil en X con velocidad constante, que corresponde al auto A, tenemos: @sp 1 @table @strong @item Nombre Auto A @item xi 0 @item xf xfA @item ti 0 @item vx 110 @@ km/h @end table @sp 1 Para el elemento M@'ovil en X, que corresponde al auto B, tenemos: @sp 1 @table @strong @item Nombre Auto B @item ax 2.6 @item xi 0 @item vxi 0 @item ti 4 @item xf xfB @item vxf vfB @end table @sp 1 Y para el elemento Distancia XY: @sp 1 @table @strong @item x1 (y1) xfA @item x2 (y2) xfB @item x1 - x2 @itemx (y1 - y2) 5 @end table @sp 1 Ingresados los datos, damos clic en el icono de Resolver para obtener la respuesta: @example t = 30.861 s ; xfA = 942.981 m ; xfB 937.981 ; vfB = 69.839 m/s ; Estado = success. @end example trunk/Documentation/Manual/Spanish/gas_pc.png0000777000076400007640000000206012734077040021143 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڍ10 {OX[?`{ a+$Y.Be]r5wJfG‡OJrc^2|dZkq9a.:w=彳|0jfg]\Uv vpAg00WIDATh홱JAYlbb/`b!|O` 26I8/wޭCvgv7{@_QΙ3mLU&@ |+֒dvOyME*ty6 0&0jɏVJ=hԾo:`61<0\J[0k{*? ɤ3Mq=ױ1s @L!3x>cƼdӾLP6"k"[tGol(g#č5peXHA=`QtYҙl#Q^P E> @etFD_dwV/M/8ШS766+@֎ Q/'@3Nj9e+X'Y[_VE Iu4*"kQB)u$ɹ-ъ3 "jT #GxWAZ")1tEXtcommentCreated with GIMP@%tEXtdate:create2013-01-19T23:03:11-06:00B%tEXtdate:modify2012-05-22T12:37:07-06:00tEXttiff:alphaunassociated(>tEXttiff:document/home/german/Proyectos/GSfisica/calor/gas_pc.tifJŦTtEXttiff:photometricRGB ItEXttiff:rows-per-strip42IENDB`trunk/Documentation/Manual/Spanish/copying.texinfo0000777000076400007640000005604412734077040022262 0ustar germangerman@node GFDL, Indice, Ejemplos calorimetria, Top @chapter GNU Free Documentation License @cindex GNU Free Documentation License @image{meditate-tiny, 3cm} @c The GNU Free Documentation License. @center Version 1.3, 3 November 2008 @c This file is intended to be included within another document, @c hence no sectioning command or @node. @display Copyright @copyright{} 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. @uref{http://fsf.org/} Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. @end display @enumerate 0 @item PREAMBLE The purpose of this License is to make a manual, textbook, or other functional and useful document @dfn{free} in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. 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If the Cover Text requirement of section 3 is applicable to these copies of the Document, then if the Document is less than one half of the entire aggregate, the Document's Cover Texts may be placed on covers that bracket the Document within the aggregate, or the electronic equivalent of covers if the Document is in electronic form. Otherwise they must appear on printed covers that bracket the whole aggregate. @item TRANSLATION Translation is considered a kind of modification, so you may distribute translations of the Document under the terms of section 4. Replacing Invariant Sections with translations requires special permission from their copyright holders, but you may include translations of some or all Invariant Sections in addition to the original versions of these Invariant Sections. You may include a translation of this License, and all the license notices in the Document, and any Warranty Disclaimers, provided that you also include the original English version of this License and the original versions of those notices and disclaimers. In case of a disagreement between the translation and the original version of this License or a notice or disclaimer, the original version will prevail. If a section in the Document is Entitled ``Acknowledgements'', ``Dedications'', or ``History'', the requirement (section 4) to Preserve its Title (section 1) will typically require changing the actual title. @item TERMINATION You may not copy, modify, sublicense, or distribute the Document except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense, or distribute it is void, and will automatically terminate your rights under this License. However, if you cease all violation of this License, then your license from a particular copyright holder is reinstated (a) provisionally, unless and until the copyright holder explicitly and finally terminates your license, and (b) permanently, if the copyright holder fails to notify you of the violation by some reasonable means prior to 60 days after the cessation. Moreover, your license from a particular copyright holder is reinstated permanently if the copyright holder notifies you of the violation by some reasonable means, this is the first time you have received notice of violation of this License (for any work) from that copyright holder, and you cure the violation prior to 30 days after your receipt of the notice. Termination of your rights under this section does not terminate the licenses of parties who have received copies or rights from you under this License. If your rights have been terminated and not permanently reinstated, receipt of a copy of some or all of the same material does not give you any rights to use it. @item FUTURE REVISIONS OF THIS LICENSE The Free Software Foundation may publish new, revised versions of the GNU Free Documentation License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. See @uref{http://www.gnu.org/copyleft/}. Each version of the License is given a distinguishing version number. If the Document specifies that a particular numbered version of this License ``or any later version'' applies to it, you have the option of following the terms and conditions either of that specified version or of any later version that has been published (not as a draft) by the Free Software Foundation. If the Document does not specify a version number of this License, you may choose any version ever published (not as a draft) by the Free Software Foundation. If the Document specifies that a proxy can decide which future versions of this License can be used, that proxy's public statement of acceptance of a version permanently authorizes you to choose that version for the Document. @item RELICENSING ``Massive Multiauthor Collaboration Site'' (or ``MMC Site'') means any World Wide Web server that publishes copyrightable works and also provides prominent facilities for anybody to edit those works. A public wiki that anybody can edit is an example of such a server. A ``Massive Multiauthor Collaboration'' (or ``MMC'') contained in the site means any set of copyrightable works thus published on the MMC site. ``CC-BY-SA'' means the Creative Commons Attribution-Share Alike 3.0 license published by Creative Commons Corporation, a not-for-profit corporation with a principal place of business in San Francisco, California, as well as future copyleft versions of that license published by that same organization. ``Incorporate'' means to publish or republish a Document, in whole or in part, as part of another Document. An MMC is ``eligible for relicensing'' if it is licensed under this License, and if all works that were first published under this License somewhere other than this MMC, and subsequently incorporated in whole or in part into the MMC, (1) had no cover texts or invariant sections, and (2) were thus incorporated prior to November 1, 2008. The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing. @end enumerate @page @heading ADDENDUM: How to use this License for your documents To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page: @smallexample @group Copyright (C) @var{year} @var{your name}. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled ``GNU Free Documentation License''. @end group @end smallexample If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the ``with@dots{}Texts.''@: line with this: @smallexample @group with the Invariant Sections being @var{list their titles}, with the Front-Cover Texts being @var{list}, and with the Back-Cover Texts being @var{list}. @end group @end smallexample If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation. 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Mientras que "<" indica que el centro esta ubicado a la izquierda. @end multitable @page @node Velocidad angular (dc), Aceleracion centripeta (dc), Movil perpendicular (dc), Dinamica circular @section Velocidad angular @cindex Velocidad angular (dc) @image{v_angular} Elemento para medir la velocidad angular de un m@'ovil con movimiento circular o circular polar. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil con movimiento circular o circular polar. @item vang: @tab Velocidad angular. Un valor positivo corresponde al sentido contrario al movimiento de las manecillas del reloj. @end multitable @node Aceleracion centripeta (dc), Aceleracion angular (dc), Velocidad angular (dc), Dinamica circular @section Aceleraci@'on centr@'{@dotless{i}}peta @cindex Aceleraci@'on centr@'{@dotless{i}}peta (dc) @image{acel_cent} Elemento para medir la aceleraci@'on centr@'{@dotless{i}}peta de un m@'ovil con movimiento circular o circular polar. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil con movimiento circular o circular polar. @item ac: @tab Aceleraci@'on centr@'{@dotless{i}}peta. @end multitable @page @node Aceleracion angular (dc), Energia (dc), Aceleracion centripeta (dc), Dinamica circular @section Aceleraci@'on angular @cindex Aceleraci@'on angular (dc) @image{a_angular} Elemento para medir la aceleraci@'on angular de un m@'ovil con movimiento circular perpendicular. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil. @item aang: @tab Aceleraci@'on angular. @end multitable @node Energia (dc), Momento angular (dc), Aceleracion angular (dc), Dinamica circular @section Energ@'{@dotless{i}}a @cindex Energ@'{@dotless{i}}a (dc) @image{energia} Elemento que estable el principio del trabajo y la energ@'{@dotless{i}}a para dos objetos o sistemas de objetos. Para el caso de problemas que involucran un elemento Centro, se asume que los eventos ocurren en un plano horizontal, por lo que la energ@'{@dotless{i}}a potencial gravitacional no se toma en cuenta. Tampoco se toma en cuenta dicha energ@'{@dotless{i}}a para el caso de la explosi@'on de un proyectil. Puesto que se consideran el estado un instante antes de la explosi@'on y el estado un instante despu@'es de la misma. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Sistema i: @tab Sistema u objeto inicial. @item Sistema f: @tab Sistema u objeto final. @item W: @tab Trabajo implicado en el cambio de energ@'{@dotless{i}}a entre el sistema inicial y el sistema final. @end multitable @page @node Momento angular (dc), Momento lineal (dc), Energia (dc), Dinamica circular @section Momento angular @cindex Momento angular (dc) @image{momento_ang} Elemento que establece el principio de la cantidad de movimiento angular y del impulso angular para dos objetos o sistemas de objetos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Sistema i: @tab Sistema u objeto inicial. @item Sistema f: @tab Sistema u objeto final. @item M: @tab Momento implicado entre el cambio de la cantidad de movimiento angular entre el sistema inicial y el sistema final. El tiempo utilizado es el establecido en el elemento Sistema de referencia fijo. @end multitable @page @node Momento lineal (dc), Potencia (dc), Momento angular (dc), Dinamica circular @section Momento lineal @cindex Momento lineal (dc) @image{momento} Elemento que establece el principio de la cantidad de movimiento lineal y del impulso para dos objetos o sistemas de objetos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Sistema i: @tab Sistema u objeto inicial. @item Sistema f: @tab Sistema u objeto final. @item Fx: @tab Fuerza horizontal implicada entre el cambio de la cantidad de movimiento lineal entre el sistema inicial y el sistema final. El tiempo utilizado es el establecido en el elemento Sistema de referencia fijo. @item Fy: @tab Fuerza vertical implicada entre el cambio de la cantidad de movimiento lineal entre el sistema inicial y el sistema final. El tiempo utilizado es el establecido en el elemento Sistema de referencia fijo. @end multitable @page @node Potencia (dc), Sistema inicial (dc), Momento lineal (dc), Dinamica circular @section Potencia @cindex Potencia (dc) @image{potencia} Elemento para calcular la potencia aplicada/desarrollada entre el estado del sistema inicial y el estado del sistema final. Para el caso de problemas que involucran un elemento Centro, se asume que los eventos ocurren en un plano horizontal, por lo que la energ@'{@dotless{i}}a potencial gravitacional no se toma en cuenta. Tampoco se toma en cuenta dicha energ@'{@dotless{i}}a para el caso de la explosi@'on de un proyectil. Puesto que se consideran el estado un instante antes de la explosi@'on y el estado un instante despu@'es de la misma. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Sistema i: @tab Sistema u objeto inicial. @item Sistema f: @tab Sistema u objeto final. @item P: @tab Potencia. @end multitable @page @node Sistema inicial (dc), Sistema final (dc), Potencia (dc), Dinamica circular @section Sistema inicial @cindex Sistema inicial (dc) @image{inicial} Un sistema inicial compuesto por varios objetos. Admite elementos Masa en reposo, M@'ovil con movimiento rectil@'{@dotless{i}}neo, M@'ovil con movimiento circular, M@'ovil con movimiento circular polar, Centro y Resortes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre del sistema. @item Objeto 1: @tab Objeto que forma parte del sistema. @item Objeto 2: @tab Objeto que forma parte del sistema. @item Objeto 3: @tab Objeto que forma parte del sistema. @item Objeto 4: @tab Objeto que forma parte del sistema. @end multitable @page @node Sistema final (dc), Centro de rotacion (dc), Sistema inicial (dc), Dinamica circular @section Sistema final @cindex Sistema final (dc) @image{final} Un sistema final compuesto por varios objetos. Admite elementos Masa en reposo, M@'ovil con movimiento rectil@'{@dotless{i}}neo, M@'ovil con movimiento circular, M@'ovil con movimiento circular polar, Centro y Resortes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre del sistema. @item Objeto 1: @tab Objeto que forma parte del sistema. @item Objeto 2: @tab Objeto que forma parte del sistema. @item Objeto 3: @tab Objeto que forma parte del sistema. @item Objeto 4: @tab Objeto que forma parte del sistema. @end multitable @page @node Centro de rotacion (dc), Resortes (dc), Sistema final (dc), Dinamica circular @section Centro de rotaci@'on @cindex Centro de rotaci@'on (dc) @image{p_estatica} Centro de rotaci@'on para ser usado en un sistema de m@'oviles con movimiento circular que giran alrededor de este. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre del centro de rotaci@'on. @item v: @tab Velocidad del centro. @item ang: @tab @'Angulo del vector velocidad. Medido desde el eje X positivo, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @item x: @tab Coordenada X del centro. @item y: @tab Coordenada Y del centro. @end multitable @page @node Resortes (dc), Fuerzas (dc), Centro de rotacion (dc), Dinamica circular @section Resortes @cindex Resortes (dc) @image{resortes} Resortes sin masa que obedecen la ley de Hooke. @emph{d} es la longitud que el resorte esta estirado o comprimido. Es positiva si el resorte esta estirado y negativa si esta comprimido. Admite una o dos fuerzas en la direcci@'on del resorte. En el caso de dos fuerzas, estas deben tener sentidos contrarios (comprimiendo el resorte o estir@'andolo) y la misma magnitud o inc@'ognita. Y no admite fuerzas de fricci@'on. Si el resorte esta comprimido, el sentido de la fuerza aplicada, o fuerzas aplicadas, debe ser hacia el resorte. Si el resorte esta estirado, el sentido debe ser alej@'andose del resorte. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1. @headitem Datos: @tab @item k: @tab Constante del resorte. @item d: @tab Longitud que el resorte esta estirado o comprimido. @end multitable @node Fuerzas (dc), Fricciones (dc), Resortes (dc), Dinamica circular @section Fuerzas @cindex Fuerzas (dc) @image{fuerzas} Fuerzas con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f: @tab Magnitud de la fuerza. @item ang: @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @end multitable @page @node Fricciones (dc), Angulos (dc), Fuerzas (dc), Dinamica circular @section Fricciones @cindex Fricciones (dc) @image{friccionCircular} Fricciones con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @item @item f: @tab Magnitud de la fuerza. @item u: @tab Coeficiente de fricci@'on est@'atico. @item ang: @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las fricciones oblicuas. @end multitable @node Angulos (dc), Momento (dc), Fricciones (dc), Dinamica circular @section @'Angulos @cindex @'Angulos (dc) @image{angcomp} Relaciona dos @'angulos que deben ser complementarios. Ambos @'angulos deben ser datos desconocidos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item ang1: @tab Nombre que representa un @'angulo. @item ang2: @tab Nombre que representa otro @'angulo. @end multitable @page @node Momento (dc), Aceleracion total (dc), Angulos (dc), Dinamica circular @section Momento de una fuerza o par de fuerzas @cindex Momento de una fuerza o par de fuerzas (dc) @image{par} Elemento para relacionar el momento de una fuerza con su respectiva fuerza y el brazo de esta. O para relacionar el momento de un par de fuerzas con la magnitud de una de las fuerzas y el brazo del par. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item M: @tab Momento, un valor positivo corresponde a un sentido contrario al movimiento de las manecillas del reloj. @item f: @tab Magnitud de la fuerza o de una de las fuerzas del par. @item d: @tab Brazo de la fuerza o del par de fuerzas. @end multitable @page @node Aceleracion total (dc), Aceleracion maxima (dc), Momento (dc), Dinamica circular @section Aceleraci@'on total (Triangulo de aceleraciones) @cindex Aceleraci@'on total (Triangulo de aceleraciones) (dc) @image{aceleracionTriangulo} Elemento para medir el vector aceleraci@'on total de un m@'ovil con movimiento circular perpendicular. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil. @item atot: @tab Aceleraci@'on total. @item ang: @tab @'Angulo del vector aceleraci@'on total. Medido desde el radio vector, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @end multitable @node Aceleracion maxima (dc), Inercia (dc), Aceleracion total (dc), Dinamica circular @section Aceleraci@'on m@'axima @cindex Aceleraci@'on m@'axima (dc) @image{a_maxima} Establece la aceleraci@'on total de un m@'ovil, con movimiento circular perpendicular, a la producida por la m@'axima fuerza de fricci@'on. Esto para el caso cuando la fuerza de fricci@'on produce tanto una aceleraci@'on tangencial como la aceleraci@'on centr@'{@dotless{i}}peta (para el caso cuando la fuerza de fricci@'on @'unicamente produce la aceleraci@'on centr@'{@dotless{i}}peta, simplemente se aplica una fuerza de fricci@'on directamente al m@'ovil). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil. @item u: @tab Coeficiente de fricci@'on est@'atica. @end multitable @page @node Inercia (dc), Velocidad absoluta (dc), Aceleracion maxima (dc), Dinamica circular @section Inercia @cindex Inercia (dc) @image{sis_rotacion} Elemento para medir el radio de giro efectivo y la masa total de un sistema formado por dos o tres elementos m@'ovil con movimiento circular. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Sistema: @tab Nombre del sistema. @item m: @tab Masa total del sistema. @item r: @tab Radio efectivo de giro. @end multitable @page @node Velocidad absoluta (dc), Seno del angulo (dc), Inercia (dc), Dinamica circular @section Velocidad absoluta @cindex Velocidad absoluta (dc) @image{vel_absoluta} Elemento para medir la velocidad absoluta de un m@'ovil con movimiento circular que gira alrededor de un elemento centro. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Objeto: @tab Nombre del m@'ovil con movimiento circular. @item angR: @tab @'Angulo de rotaci@'on del m@'ovil. Medido desde el eje X positivo, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @item Centro: @tab Nombre del centro. @item v: @tab Velocidad absoluta del m@'ovil. @item ang: @tab @'Angulo del vector velocidad absoluta. Medido desde el eje X positivo, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @end multitable @page @node Seno del angulo (dc), Combinaciones (dc), Velocidad absoluta (dc), Dinamica circular @section Seno del @'angulo @cindex Seno del @'angulo (dc) @image{seno} Elemento para definir el seno de un @'angulo a partir del radio de una trayectoria circular y la altura de este sobre/bajo la horizontal. El signo de la altura no se toma en cuenta, @'unicamente se toma su valor absoluto. @image{seno_angulo, 4cm} @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item y: @tab Distancia vertical. @item r: @tab Radio de giro. @item ang: @tab @'Angulo. @end multitable @page @node Combinaciones (dc), , Seno del angulo (dc), Dinamica circular @section Combinaciones admitidas @cindex Combinaciones admitidas (dc) Se utilizan las siguientes abreviaciones: @sp 2 @table @strong @item MR Masa en reposo. @item ML M@'ovil con movimiento rectil@'{@dotless{i}}neo. @item MC M@'ovil con movimiento circular. @item MP M@'ovil con movimiento circular polar. @item C Centro de rotaci@'on. @item R Resorte. @end table @sp 2 Los elementos Energ@'{@dotless{i}}a y Potencia admiten las siguientes combinaciones: @multitable @columnfractions .48 .48 @headitem Sistema i @tab Sistema f @item MR @tab MR @item MR @tab ML @item MR @tab MC @item ML @tab MR @item ML @tab ML @item ML @tab MC @item MC @tab MR @item MC @tab ML @item MC @tab MC @item MC @tab MP @item MP @tab MC @item MP @tab MP @item ML @tab Sistema final con 2 ML @item ML @tab Sistema final con 3 ML @item ML @tab Sistema final con 4 ML @item ML @tab Sistema final con 2 MC y 1 C @item ML @tab Sistema final con 2 MC, 1 ML y 1 C @item Sistema inicial con 2 MC @tab Sistema final con 2 MC @item Sistema inicial con 3 MC @tab Sistema final con 3 MC @item Sistema inicial con 1 MC y 1 R @tab Sistema final con 1 MC y 1 R @item Sistema inicial con 1 ML y 1 R @tab Sistema final con 1 ML y 1 R @item Sistema inicial con 1 ML y 2 R @tab Sistema final con 1 ML y 2 R @item Sistema inicial con 1 ML y 3 R @tab Sistema final con 1 ML y 3 R @item Sistema inicial con 2 MC y 1 C @tab Sistema final con 2 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 3 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 2 MC, 1 ML y 1 C @item Sistema inicial con 1 MC y 1 R @tab Sistema final con 1 MR y 1 R @item Sistema inicial con 1 MR y 1 R @tab Sistema final con 1 MC y 1 R @item Sistema inicial con 1 ML y 1 R @tab Sistema final con 1 MR y 1 R @item Sistema inicial con 1 MR y 1 R @tab Sistema final con 1 ML y 1 R @item Sistema inicial con 1 ML y 2 R @tab Sistema final con 1 MR y 2 R @item Sistema inicial con 1 MR y 2 R @tab Sistema final con 1 ML y 2 R @item Sistema inicial con 1 ML y 3 R @tab Sistema final con 1 MR y 3 R @item Sistema inicial con 1 MR y 3 R @tab Sistema final con 1 ML y 3 R @item Sistema inicial con 1 MC y 1 R @tab Sistema final con 1 MP y 1 R @item Sistema inicial con 1 MP y 1 R @tab Sistema final con 1 MC y 1 R @item Sistema inicial con 1 MP y 1 R @tab Sistema final con 1 MP y 1 R @end multitable @page El elemento Momento Angular admite las siguientes combinaciones: @multitable @columnfractions .48 .48 @headitem Sistema i @tab Sistema f @item MC @tab MC @item MC @tab MP @item MP @tab MC @item MP @tab MP @item ML @tab Sistema final con 2 ML @item ML @tab Sistema final con 3 ML @item ML @tab Sistema final con 4 ML @item ML @tab Sistema final con 2 MC y 1 C @item ML @tab Sistema final con 2 MC, 1 ML y 1 C @item Sistema inicial con 2 MC @tab Sistema final con 2 MC @item Sistema inicial con 3 MC @tab Sistema final con 3 MC @item Sistema inicial con 2 MC y 1 C @tab Sistema final con 2 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 3 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 2 MC, 1 ML y 1 C @end multitable @page El elemento Momento Lineal admite las siguientes combinaciones: @multitable @columnfractions .48 .48 @headitem Sistema i @tab Sistema f @item ML @tab ML @item ML @tab Sistema final con 2 ML @item ML @tab Sistema final con 3 ML @item ML @tab Sistema final con 4 ML @item ML @tab Sistema final con 2 MC y 1 C @item ML @tab Sistema final con 2 MC, 1 ML y 1 C @item Sistema inicial con 2 MC y 1 C @tab Sistema final con 2 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 3 ML @item Sistema inicial con 3 MC y 1 C @tab Sistema final con 2 MC, 1 ML y 1 C @end multitable trunk/Documentation/Manual/Spanish/sr-e10-3.jpg0000777000076400007640000001622012734077040021055 0ustar germangermanJFIFHHC    #%$""!&+7/&)4)!"0A149;>>>%.DIC;C  ;("(;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;h"R  !1q357AQt"a26Us#Tb4BCSVrR$E9  !124AQar"3SqB#R ?䷞<2wLY0&^xR2ǕfNlv>PaBO|56Ǜe2D&{*ʨ^Zy]2d|O+tSV/?h,J5Ctu%̛pm@뻎.y:=>H٩e}9zV#np<^tuy8tm:'+{iĖk2o}fMnjo7zmEO-jaR"*&8c^, j\ X-TקJ/9O ||OsKK?7k2ۭRܣZFG#htj1S|Fu? 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""" """ ִMIjt^"(2j$bڸ#2Zn FpJ[ ~'$mlb|z\H?D5oIUnDz97vߛo#nf[tǀ|Wq- ծaX4BY Hs͇&<`OO ᜹VտF̵{"~uӗ.5}{iu'LJ&T"uۥi|X®^8mGu0\ :N\#6#Ox c s7w6=1#$GqqԓV˓Q"=k}Mڎ> m$/'74M+G\I=|") nNPxDDD@d62d_lFh@1X w=>#@G.;xY`գ}=}]d35\$cIդ t|h.[Gz +h5<ՏA]<~Jw ɁJ\ >Jfm%2%baX絡ѺwZN%.[Gz +h5<ՏAW͚y?$#QtTTV=ꕴʞjǠ39f›V-G#25禃R8-+h5<ՏA:mƲ(YU3k8nYq$4不4M&iƄ˳0Xty(GǽP]+h5<ՏA:mƲ)JRrJ]+h5<ՏA:mƲ/L}E]RYSXVk*yQtTTV=ꕴʞjǠ]+h5<ՏA:mƲ 9AuJ?eO5cN[Gz}E]RYSXVk*ytrunk/Documentation/Manual/Spanish/k-e5.jpg0000777000076400007640000000372212734077040020452 0ustar germangermanJFIFHHC  !"$"$Cq" ; !"1AQa2bdq#$36Rt0!1QAqa"#R ? x9.xŨ٧K^𬒩Xf; g]kVȠX]}tUv ٣;pFs?V2etg9gh\7-ma,ؿ2^H:e=~kgjoM3iYƲpuF䬓j1'鲗蟟w{uSVƉK\~{KY9R_3\Ǫ隂eۏGӞye\ܱry4kZuG@;6Kŧl3<al [~DdessF1 -[Kwl{?>Ҟً M_4}]zn=6ıU;MuU˂R4|UQo{c߁-?)̆^R$k;e%׼m&+iIu WRԵ<̌ܛ_cIR}[#zjuKTRPhtrunk/Documentation/Manual/Spanish/statics-rigid.texinfo0000777000076400007640000003605312734077040023356 0ustar germangerman@c -*-texinfo-*- @c This is part of the FisicaLab User Manual. @c Copyright (C) 2013 German A. Arias. @c See the file copying.texinfo for copying conditions. @node Estatica rigida, Ejemplos estatica rigida, Ejemplos estatica, Top @chapter M@'odulo de est@'atica r@'{@dotless{i}}gida @cindex M@'odulo de est@'atica r@'{@dotless{i}}gida Los factores de conversi@'on disponibles en este m@'odulo para el sistema SI son: @sp 2 @table @strong @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item ft pie @item in pulgada @item g gramo @item slug slug @item T tonelada m@'etrica @item N*cm Newton cent@'{@dotless{i}}metro @end table @sp 2 Y los disponibles para el sistema Ingl@'es son: @sp 2 @table @strong @item kg kilogramo @item g gramo @item m metro @item cm cent@'{@dotless{i}}metro @item mm mil@'{@dotless{i}}metro @item in pulgada @item lb*in libras pulgada @end table @sp 2 En este m@'odulo, las fuerzas (elementos Fuerza, Fricci@'on o Resultante) se aplican a los elementos de los objetos (elementos punto, elementos de viga o elementos de s@'olido), coloc@'andolas en las celdas adyacentes a estos. Cada uno de estos elementos, si no se encuentra en los bordes de la Pizarra, tiene 8 celdas adyacentes. Este m@'odulo esta constituido ṕor 32 elementos, los cuales se presentan a continuaci@'on con una descripci@'on de cada uno de ellos, de los datos que requieren, las fuerzas que admiten y el n@'umero de ecuaciones que establece cada uno. Obs@'ervese que algunos elementos establecen dos o tres ecuaciones, dependiendo de las fuerzas aplicadas a el. Si todas las fuerzas aplicadas son horizontales, o verticales, se establecen dos ecuaciones, de lo contrario se establecen tres. @page @menu * Sistema de referencia fijo: Sistema de referencia (er). * Puntos: Puntos (er). * Viga: Viga (er). * S@'olido: Solido (er). * Punto: Punto (er). * @'Angulos: Angulos (er). * Elementos de viga: Elementos de viga (er). * Elementos de s@'olido: Elementos de solido (er). * Fuerzas: Fuerzas (er). * Fricciones: Fricciones (er). * Par: Par (er). * Vigas de 2 fuerzas: Vigas de 2 fuerzas (er). * Armadura: Armadura (er). * Nudo de armadura: Nudo de armadura (er). * Vigas de armadura: Vigas de armadura (er). * Resultante: Resultante (er). * Resultante con fuerza horizontal: Resultante con fuerza horizontal (er). * Resultante con fuerza vertical: Resultante con fuerza vertical (er). @end menu @node Sistema de referencia (er), Puntos (er), Estatica rigida, Estatica rigida @section Sistema de referencia fijo @cindex Sistema de referencia fijo (er) @image{s_fijo} Establece el sistema de referencia estacionario, con el eje X horizontal y positivo hacia la derecha, y el eje Y vertical y positivo hacia arriba. As@'{@dotless{i}} como el valor de la gravedad (valor absoluto). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item g: @tab Gravedad a utilizar. Por defecto se coloca el valor de la gravedad en el sistema seleccionado (9.81 m/s2 para SI, y 32.2 ft/s2 para el sistema Ingl@'es). @end multitable @node Puntos (er), Viga (er), Sistema de referencia (er), Estatica rigida @section Puntos @cindex Puntos (er) @image{puntos} Establece un cuerpo r@'{@dotless{i}}gido, sin masa, conformado por elementos Punto. No admite fuerzas, fricciones o resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @'o 3 @headitem Datos: @tab @item Nombre: @tab Nombre del cuerpo. @end multitable @page @node Viga (er), Solido (er), Puntos (er), Estatica rigida @section Viga @cindex Viga (er) @image{vigaInfo} Establece un cuerpo r@'{@dotless{i}}gido (una viga) conformado por elementos de viga. No admite fuerzas, fricciones o resultantes. Partiendo de una viga horizontal, el extremo izquierdo hace de v@'ertice para medir el @'angulo. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @'o 3. Si todas las fuerzas aplicadas son verticales, entonces se establecen dos ecuaciones (la sumatoria de fuerzas en Y y la sumatoria de momentos). No es posible aplicar fuerzas @'unicamente en X, ya que F@'{@dotless{i}}sicaLab asume que la viga tiene un peso, por lo que espera que hayan aplicadas fuerzas verticales. @headitem Datos: @tab @item Nombre: @tab Nombre de la viga. @item m: @tab Masa de la viga. @item lc: @tab Distancia del centro de masa de la viga al punto que hace de v@'ertice (la distancia se mide a lo largo de la viga). @item ang: @tab @'Angulo de inclinaci@'on de la viga. Medido desde el eje X positivo, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @end multitable @page @node Solido (er), Punto (er), Viga (er), Estatica rigida @section S@'olido @cindex S@'olido (er) @image{solidoInfo} Establece un cuerpo r@'{@dotless{i}}gido (un s@'olido de cualquier forma) conformado por elementos de s@'olido. No admite fuerzas, fricciones o resultantes. Si el s@'olido se encuentra sobre una superficie inclinada, las coordenadas X y Y del centro de masa, as@'{@dotless{i}} como las coordenadas X y Y de los elementos que conformen al s@'olido, son referidos a un eje X paralelo a la superficie y positivo hacia arriba, y a un eje Y perpendicular a la superficie y positivo hacia arriba. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @'o 3. Si todas las fuerzas aplicadas son verticales, entonces se establecen dos ecuaciones (la sumatoria de fuerzas en Y y la sumatoria de momentos). No es posible aplicar fuerzas @'unicamente en X, ya que F@'{@dotless{i}}sicaLab asume que el s@'olido tiene un peso, por lo que espera que hayan aplicadas fuerzas verticales. @headitem Datos: @tab @item Nombre: @tab Nombre del s@'olido. @item m: @tab Masa del s@'olido. @item xc: @tab Coordenada X del centro de masa. @item yc: @tab Coordenada Y del centro de masa. @item ang: @tab @'Angulo de la superficie donde se encuentra apoyado el s@'olido. Medido desde el eje X positivo, siendo el sentido positivo el contrario al movimiento de las manecillas del reloj. @end multitable @page @node Punto (er), Angulos (er), Solido (er), Estatica rigida @section Punto @cindex Punto (er) @image{punto} Elemento de un cuerpo r@'{@dotless{i}}gido sin masa (Puntos), pueden agregarse cuantos puntos se necesiten en el cuerpo r@'{@dotless{i}}gido. Admite fuerzas, fricciones o resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Puntos: @tab Nombre del cuerpo r@'{@dotless{i}}gido al que pertenece. @item x: @tab Coordenada X del punto. @item y: @tab Coordenada Y del punto. @end multitable @node Angulos (er), Elementos de viga (er), Punto (er), Estatica rigida @section @'Angulos @cindex @'Angulos (er) @image{angcomp} Relaciona dos @'angulos que deben ser complementarios. Ambos datos debes ser datos desconocidos. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 1 @headitem Datos: @tab @item ang1: @tab Nombre que representa a un @'angulo. @item ang2: @tab Nombre que representa a otro @'angulo. @end multitable @page @node Elementos de viga (er), Elementos de solido (er), Angulos (er), Estatica rigida @section Elementos de viga @cindex Elementos de viga (er) @image{vigas} Elementos para conformar una viga, pueden agregarse cuantos elementos se necesiten. Todos tienen las mismas caracter@'{@dotless{i}}sticas, solo cambia la imagen para prop@'ositos visuales (tener claro cual viga es vertical, horizontal o tiene una pendiente). Admiten fuerzas, fricciones o resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Viga: @tab Nombre de la viga a la que pertenece el elemento. @item l: @tab Distancia del elemento al punto que hace de v@'ertice para el @'angulo de inclinaci@'on de la viga. @end multitable @page @node Elementos de solido (er), Fuerzas (er), Elementos de viga (er), Estatica rigida @section Elementos de s@'olido @cindex Elementos de s@'olido (er) @image{solidos} Elementos para conformar un s@'olido, pueden agregarse cuantos elementos se necesiten. Todos tienen las mismas caracter@'{@dotless{i}}sticas, solo cambia la imagen para prop@'ositos visuales (tener claro cual parte esta en el borde o en el interior del cuerpo, o si es una superficie curva, inclinada, etc.). Admiten fuerzas, fricciones o resultantes. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item S@'olido: @tab Nombre del s@'olido al que pertenece el elemento. @item x: @tab Coordenada X del elemento de s@'olido. @item y: @tab Coordenada Y del elemento de s@'olido. @end multitable @page @node Fuerzas (er), Fricciones (er), Elementos de solido (er), Estatica rigida @section Fuerzas @cindex Fuerzas (er) @image{fuerzas} Fuerzas con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f @tab Magnitud de la fuerza. @item ang @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @end multitable @node Fricciones (er), Par (er), Fuerzas (er), Estatica rigida @section Fricciones @cindex Fricciones (er) @image{fricciones} Fricciones con la direcci@'on y sentido indicado por las flechas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Normal: @tab Normal a partir de la cual se calcula la fricci@'on. @item ang: @tab @'Angulo positivo que indica la direcci@'on de la fricci@'on, medido desde la horizontal. Este dato s@'olo esta presente para las fuerzas oblicuas. @item u: @tab Coeficiente de fricci@'on est@'atico o din@'amico. @end multitable @page @node Par (er), Vigas de 2 fuerzas (er), Fricciones (er), Estatica rigida @section Par @cindex Par (er) @image{par} Momento de un par de fuerzas. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item m: @tab Momento del par. Un valor positivo corresponde a un sentido contrario al movimiento de las manecillas del reloj. @end multitable @page @node Vigas de 2 fuerzas (er), Armadura (er), Par (er), Estatica rigida @section Vigas de 2 fuerzas @cindex Vigas de 2 fuerzas (er) @image{viga2F} Estos elementos representan la fuerza que una viga sometida a 2 fuerzas (aplicadas a lo largo del eje de la misma) aplica en otro objeto. Tienen un comportamiento similar a los elementos Fuerza. La @'unica diferencia es que si el dato de la fuerza es una inc@'ognita, F@'{@dotless{i}}sicaLab mostrara en el resultado si la viga esta en tensi@'on o compresi@'on. Ya que representan la fuerza aplicada por la viga de 2 fuerzas, un valor positivo significa que la viga esta en compresi@'on y un valor negativo significa que la viga esta en tensi@'on. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item f: @tab Magnitud de la fuerza. Si el dato de fuerza es una inc@'ognita, F@'{@dotless{i}}sicaLab indicara junto al resultado si la viga esta en tensi@'on o compresi@'on. @item ang: @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las vigas oblicuas. @end multitable @page @node Armadura (er), Nudo de armadura (er), Vigas de 2 fuerzas (er), Estatica rigida @section Armadura @cindex Armadura (er) @image{armadura} Armadura simple. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item Nombre: @tab Nombre de la armadura. @end multitable @node Nudo de armadura (er), Vigas de armadura (er), Armadura (er), Estatica rigida @section Nudo de armadura @cindex Nudo de armadura (er) @image{nodo} Nudo de armadura. Solamente admite fuerzas y vigas de armadura. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab 2 @headitem Datos: @tab @item Armadura: @tab Nombre de la armadura a la que pertenece. @end multitable @page @node Vigas de armadura (er), Resultante (er), Nudo de armadura (er), Estatica rigida @section Vigas de armadura @cindex Vigas de armadura (er) @image{vigasArm} Viga de armadura. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item t: @tab Magnitud de la fuerza a la que esta sometida la viga. Un valor positivo indica tensi@'on, mientras que uno negativo indica compresi@'on. Si el dato de fuerza es una inc@'ognita, F@'{@dotless{i}}sicaLab indicara junto al resultado si la viga esta en tensi@'on o compresi@'on. @item ang: @tab @'Angulo positivo que indica la direcci@'on de la fuerza, medido desde la horizontal. Este dato s@'olo esta presente para las vigas oblicuas. @end multitable @page @node Resultante (er), Resultante con fuerza horizontal (er), Vigas de armadura (er), Estatica rigida @section Resultante @cindex Resultante (er) @image{resultanteR} Resultante general. @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item mr: @tab Momento resultante. Un valor positivo corresponde a un sentido contrario al movimiento de las manecillas del reloj. @item fr: @tab Magnitud de la fuerza resultante. @item ang: @tab @'Angulo del vector fuerza resultante. Medido desde el eje X positivo en sentido contrario al movimiento de las manecillas del reloj. @end multitable @node Resultante con fuerza horizontal (er), Resultante con fuerza vertical (er), Resultante (er), Estatica rigida @section Resultante con fuerza horizontal @cindex Resultante con fuerza horizontal (er) @image{resultante_hR} Resultante con fuerza horizontal (positiva a la derecha y negativa a la izquierda). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item mr: @tab Momento resultante. Un valor positivo corresponde a un sentido contrario al movimiento de las manecillas del reloj. @item fr: @tab Magnitud de la fuerza resultante. @end multitable @page @node Resultante con fuerza vertical (er), , Resultante con fuerza horizontal (er), Estatica rigida @section Resultante con fuerza vertical @cindex Resultante con fuerza vertical (er) @image{resultante_vR} Resultante con fuerza vertical (positiva hacia arriba y negativa hacia abajo). @multitable @columnfractions .15 .6 @item Ecuaciones: @tab Ninguna. @headitem Datos: @tab @item mr: @tab Momento resultante. Un valor positivo corresponde a un sentido contrario al movimiento de las manecillas del reloj. @item fr: @tab Magnitud de la fuerza resultante. @end multitable trunk/Documentation/Manual/Spanish/cal-e1.jpg0000777000076400007640000000265612734077040020760 0ustar germangermanJFIFHHC  !"$"$C" ; !"1QRUV 67Aatu2q; !1QRq23ASTar"#4BbӁ ?@,[VqmUvښct<3:]UE97poQ;=hoMPZJuv+ESTztzߗxOQ󓁕zLDZ]o/|!Sݢ72wxcz]ճ.ck]Vf8SLVkyQDSN&sDNbq<6xU¼\As6UtռLE^mYV9q~K7.Q8gS itS::.c^nżFGGt]Խ݉wGRcv-Gq|GUxCӨb`g׍f&"'G;DFGZ Ed6s?~-t*$l-\ꢺgzjv {br/QvWh鮙a^WO6~"!vۧ]tbiwf!?Nj72΢cO?xKz+68S_ªɹWUs5SL\G,;1U_~3ߍyyљĮo{7\Ssoc_Rk=)Z迷^4^̀'niUj~,*JoZ4J4mk?ۺEUdQLV~thQNQ*" vWmȌLǖ1Þ|mÞ|mH|Z=?j?wzbp糟s:bp糟sR ?j?'[^Q#ħgR̯&7s"gi77\ fqg3ڢ "`Ntrunk/Documentation/Manual/Spanish/k-e7.jpg0000777000076400007640000000617712734077040020463 0ustar germangermanJFIFHHC  !"$"$C" @ !17uA"QSaq#2356BRc4!1AQ"a2q#BRbr ?<~}&J|d{y(|d{y(Udwfi\q7fi*._ VJV:mǕ3٣KC^\=^]rz3(4ϢZC4|J m>q'^zl)_6O)VzfӴo x̝̺dqM3Nҭol y9^n~k]ԷI:4εZhӺH,e$Lvď,sKw+{1fK=kY9=hrScUZOĐN'Boo?_%sһo gTR}Z]o] hUZgJ^c8I&%R.nm\h^?捴cRrPO09Xm7'ZMmI<_\3;,vƝ*)'Q$p(oRLF R.oTy[6[zo(iSiJ8NJM&??54iڭU#S~y}`&xhZ⫫qZj'&V{;MpTۺe鷍G̠UdWO7{WO7{_<~}&Jv'[At:ƞy:/axySr]Sx!S1U"ik0mƅw&mMwVT../cM7ε7/Yf][RX_*}qwhݛ^Z/cIpzkΥ*q2P'@6u?u& |vHYw>PSfȀTð>:Q8eyiSs7: U8ӅnTKՏ|ZttjЭR<\.LM`gpڅ=lJ.빯p>"Q^__WO7{_<~}&J_<~}&J|d{y(|d{y(UdUdWO7{WO7{_<~}&JTohR%lp#7~',ۺ7Cni7VsyN17spF&Pǧ\ToS kuR5X==]+7Svn^K%HƤӗ?榲:i9뵕o 19[δ'8 C/ҥ:vl#=ȱܪ%R(҇'QMө7w[7H7*mSți7EI%ꤚOߏ?/eu_b%0ONJ[Ki֭12ί˞3wkKrztRS潭G;y(QiI5a/)!JB7umdω4u쿕koo-SmVydQ_)SyJU9|k8ÙK"9םHd5*t${zT)ir侳5ʴK#:tgzM*uq*+J rpQMH:Hf˅qJ/IZ]}SNޕB:Ruk+=o[j..>29J"ɼ>gc,.WqSXM[3|?{WrT-j/P8$Yf/,E.täGHtȭF:1Q]>]:ltrunk/Documentation/Manual/Spanish/bloque_i.png0000777000076400007640000000507112734077040021513 0ustar germangermanPNG  IHDR00WbKGDԂ pHYs  ~zTXtRaw profile type 8bimxڝ10 {BOX"e?M{fAQX.M/RS-u+ κ覡VT sCPE!"!@1H2d:{#72Ddž۹:vNxˮâ=CL[x5C@}? 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Q_) r{ֳuhتtdrv4Gi+cQSеZW55޸)yI|.=UU}[! Q_% 0QV+hbqi*ӺZ-Jy -HXz䅏eH o>޿9!c=@ -HXz䅏T!c=C>޿R䅏HXzH o>޿9!c=@ -HXz䅏T!c=C>޿R䅏HXzH o>޿9!c=@ -HXz䅏T!c=C>޿UR);V[Mާ*ڧUMF bnjt$,}GrB{"jM~#$,}GrB{  -HXz䅏T!c=C>޿R䅏HXztrunk/Resources/Tables/water/superheated.plist0000777000076400007640000205204312734077054021457 0ustar germangerman{ p = ( "MPa@M/(T2*L)", <*R0.01>, <*R0.02>, <*R0.03>, <*R0.04>, <*R0.05>, <*R0.06>, <*R0.07>, <*R0.08>, <*R0.09>, <*R0.1>, <*R0.11>, <*R0.12>, <*R0.13>, <*R0.14>, <*R0.15>, <*R0.16>, <*R0.18>, <*R0.2>, <*R0.22>, <*R0.24>, <*R0.26>, <*R0.28>, <*R0.3>, <*R0.35>, <*R0.4>, <*R0.45>, <*R0.5>, <*R0.55>, <*R0.6>, <*R0.65>, <*R0.70>, <*R0.75>, <*R0.8>, <*R0.9>, <*R1>, <*R1.1>, <*R1.2>, <*R1.3>, <*R1.4>, <*R1.5>, <*R1.6>, <*R1.8>, <*R2>, <*R2.2>, <*R2.5>, <*R3>, <*R3.5>, <*R4>, <*R4.5>, <*R5>, <*R5.5>, <*R6>, <*R6.5>, <*R7>, <*R7.5>, <*R8>, <*R9>, <*R10>, <*R11>, <*R12>, <*R13>, <*R14>, <*R15>, <*R16>, <*R17>, <*R18>, <*R19>, <*R20>, <*R22>, <*R25>, <*R30>, <*R35>, <*R40>, <*R45>, <*R50>, <*R60>, <*R70>, <*R80>, <*R90>, <*R100>, <*R120>, <*R140>, <*R160>, <*R180>, <*R200>, <*R250>, <*R300>, <*R350>, <*R400>, <*R450>, <*R500>, <*R600>, <*R700>, <*R800>, <*R900>, <*R1000> ); tables = ( { density = ( "kg/m3@M/L3", "999.80", "999.92", "999.66", "999.06", "998.17", "997.01", "995.61", "993.99", "992.18", "990.17", "0.067263", "0.066220", "0.065211", "0.064233", "0.063285", "0.062366", "0.061474", "0.060607", "0.059766", "0.058947", "0.058152", "0.057378", "0.056624", "0.055890", "0.055176", "0.054479", "0.053800", "0.053138", "0.052493", "0.051863", "0.051247", "0.050647", "0.050060", "0.049487", "0.048927", "0.048380", "0.047845", "0.047321", "0.046809", "0.046308", "0.045818", "0.044868", "0.043956", "0.043081", "0.042240", "0.041432", "0.040654", "0.039904", "0.039182", "0.038486", "0.037814", "0.037164", "0.036537", "0.035931", "0.035345", "0.034777", "0.034228", "0.033695", "0.033179", "0.032678", "0.032193", "0.031721", "0.031263", "0.030818", "0.030386", "0.029966", "0.029557", "0.029159", "0.028772", "0.028395", "0.028027", "0.027320", "0.026648", "0.026008", "0.025398", "0.024817", "0.024261", "0.023729", "0.023221", "0.022733", "0.022266", "0.021818", "0.021387", "0.020973", "0.020575", "0.020191", "0.019822", "0.019465", "0.019122", "0.018790", "0.018470", "0.018160", "0.017861", "0.017571", "0.017291", "0.017019", "0.015780", "0.014708", "0.013773", "0.012950", "0.012220", "0.011567", "0.010452", "0.009532" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "-0.03", "21.03", "42.03", "62.99", "83.92", "104.84", "125.74", "146.64", "167.54", "188.44", "2592.0", "2601.6", "2611.2", "2620.7", "2630.3", "2639.8", "2649.3", "2658.9", "2668.4", "2677.9", "2687.5", "2697.0", "2706.5", "2716.1", "2725.6", "2735.2", "2744.7", "2754.3", "2763.9", "2773.4", "2783.0", "2792.6", "2802.3", "2811.9", "2821.5", "2831.2", "2840.8", "2850.5", "2860.2", "2869.9", "2879.6", "2899.1", "2918.6", "2938.1", "2957.8", "2977.4", "2997.2", "3017.0", "3036.8", "3056.8", "3076.7", "3096.8", "3116.9", "3137.0", "3157.3", "3177.5", "3197.9", "3218.3", "3238.8", "3259.3", "3279.9", "3300.6", "3321.4", "3342.2", "3363.0", "3384.0", "3405.0", "3426.1", "3447.2", "3468.4", "3489.7", "3532.5", "3575.5", "3618.8", "3662.4", "3706.3", "3750.4", "3794.9", "3839.6", "3884.6", "3929.9", "3975.5", "4021.3", "4067.5", "4113.9", "4160.6", "4207.6", "4254.9", "4302.4", "4350.2", "4398.3", "4446.7", "4495.3", "4544.2", "4593.4", "4642.8", "4893.7", "5150.7", "5413.4", "5681.3", "5954.0", "6231.1", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15109", "0.22446", "0.29648", "0.36722", "0.43675", "0.50513", "0.57240", "0.63861", "8.1741", "8.2036", "8.2326", "8.2611", "8.2891", "8.3167", "8.3439", "8.3707", "8.3971", "8.4232", "8.4489", "8.4742", "8.4993", "8.5240", "8.5484", "8.5726", "8.5964", "8.6200", "8.6434", "8.6664", "8.6892", "8.7118", "8.7341", "8.7562", "8.7781", "8.7997", "8.8212", "8.8424", "8.8634", "8.8843", "8.9049", "8.9456", "8.9856", "9.0248", "9.0635", "9.1015", "9.1388", "9.1756", "9.2118", "9.2475", "9.2827", "9.3173", "9.3515", "9.3852", "9.4185", "9.4513", "9.4837", "9.5157", "9.5473", "9.5785", "9.6094", "9.6398", "9.6700", "9.6998", "9.7293", "9.7584", "9.7873", "9.8158", "9.8441", "9.8721", "9.8998", "9.9544", "10.008", "10.061", "10.112", "10.163", "10.213", "10.262", "10.311", "10.358", "10.406", "10.452", "10.498", "10.543", "10.587", "10.631", "10.675", "10.717", "10.760", "10.802", "10.843", "10.884", "10.924", "10.964", "11.004", "11.043", "11.233", "11.413", "11.586", "11.751", "11.909", "12.061", "12.348", "12.615" ); "specific volume" = ( "cm3/g@L3/M", "1.00020", "1.00008", "1.00034", "1.00094", "1.00184", "1.00300", "1.00441", "1.00604", "1.00789", "1.00992", "14867.", "15101.", "15335.", "15568.", "15801.", "16034.", "16267.", "16500.", "16732.", "16964.", "17196.", "17428.", "17660.", "17892.", "18124.", "18356.", "18587.", "18819.", "19050.", "19282.", "19513.", "19745.", "19976.", "20207.", "20438.", "20670.", "20901.", "21132.", "21363.", "21594.", "21826.", "22288.", "22750.", "23212.", "23674.", "24136.", "24598.", "25060.", "25522.", "25984.", "26446.", "26907.", "27369.", "27831.", "28293.", "28755.", "29216.", "29678.", "30140.", "30601.", "31063.", "31525.", "31986.", "32448.", "32910.", "33371.", "33833.", "34295.", "34756.", "35218.", "35680.", "36603.", "37526.", "38449.", "39372.", "40296.", "41219.", "42142.", "43065.", "43988.", "44911.", "45834.", "46758.", "47681.", "48604.", "49527.", "50450.", "51373.", "52296.", "53219.", "54142.", "55065.", "55989.", "56912.", "57835.", "58758.", "63373.", "67988.", "72604.", "77219.", "81834.", "86450.", "95680.", "104910." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.80", "999.93", "999.66", "999.06", "998.17", "997.01", "995.61", "994.00", "992.18", "990.18", "988.00", "985.66", "983.16", "0.12879", "0.12686", "0.12500", "0.12319", "0.12144", "0.11973", "0.11808", "0.11648", "0.11491", "0.11340", "0.11192", "0.11048", "0.10908", "0.10771", "0.10638", "0.10508", "0.10381", "0.10258", "0.10137", "0.10020", "0.099045", "0.097921", "0.096822", "0.095748", "0.094698", "0.093671", "0.092666", "0.091682", "0.089777", "0.087950", "0.086197", "0.084512", "0.082892", "0.081333", "0.079832", "0.078386", "0.076991", "0.075645", "0.074346", "0.073090", "0.071876", "0.070703", "0.069566", "0.068466", "0.067400", "0.066367", "0.065365", "0.064393", "0.063450", "0.062534", "0.061644", "0.060779", "0.059937", "0.059119", "0.058323", "0.057548", "0.056794", "0.056059", "0.054644", "0.053300", "0.052020", "0.050800", "0.049636", "0.048524", "0.047461", "0.046443", "0.045468", "0.044533", "0.043636", "0.042775", "0.041947", "0.041150", "0.040383", "0.039644", "0.038931", "0.038244", "0.037581", "0.036940", "0.036321", "0.035722", "0.035142", "0.034582", "0.034038", "0.031559", "0.029417", "0.027547", "0.025900", "0.024440", "0.023135", "0.020903", "0.019064" ); 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entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22446", "0.29648", "0.36722", "0.43675", "0.50513", "0.57240", "0.63861", "0.70381", "0.76802", "0.83129", "7.9360", "7.9646", "7.9927", "8.0202", "8.0474", "8.0741", "8.1004", "8.1263", "8.1519", "8.1771", "8.2020", "8.2266", "8.2509", "8.2749", "8.2986", "8.3220", "8.3451", "8.3680", "8.3907", "8.4131", "8.4352", "8.4572", "8.4789", "8.5004", "8.5216", "8.5427", "8.5636", "8.5843", "8.6250", "8.6651", "8.7044", "8.7431", "8.7811", "8.8185", "8.8553", "8.8916", "8.9273", "8.9625", "8.9972", "9.0314", "9.0651", "9.0983", "9.1312", "9.1636", "9.1956", "9.2272", "9.2584", "9.2893", "9.3198", "9.3499", "9.3797", "9.4092", "9.4384", "9.4672", "9.4958", "9.5241", "9.5520", "9.5798", "9.6344", "9.6880", "9.7406", "9.7923", "9.8431", "9.8932", "9.9424", "9.9908", "10.039", "10.086", "10.132", "10.178", "10.223", "10.267", "10.311", "10.355", "10.397", "10.440", "10.482", "10.523", "10.564", "10.604", "10.644", "10.684", "10.723", "10.913", "11.093", "11.266", "11.431", "11.589", "11.741", "12.028", "12.295" ); 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enthalpy = ( "kJ/kg@(M*L2/T2)/M", "-0.01", "21.05", "42.05", "63.01", "83.94", "104.85", "125.76", "146.66", "167.55", "188.45", "209.36", "230.27", "251.19", "272.12", "2626.3", "2636.2", "2646.0", "2655.8", "2665.5", "2675.3", "2685.0", "2694.7", "2704.3", "2714.0", "2723.7", "2733.3", "2743.0", "2752.6", "2762.3", "2772.0", "2781.6", "2791.3", "2801.0", "2810.7", "2820.4", "2830.1", "2839.8", "2849.5", "2859.2", "2868.9", "2878.7", "2898.2", "2917.8", "2937.4", "2957.1", "2976.8", "2996.6", "3016.4", "3036.3", "3056.2", "3076.2", "3096.3", "3116.4", "3136.6", "3156.9", "3177.2", "3197.5", "3218.0", "3238.5", "3259.0", "3279.6", "3300.3", "3321.1", "3341.9", "3362.8", "3383.7", "3404.7", "3425.8", "3447.0", "3468.2", "3489.5", "3532.3", "3575.3", "3618.6", "3662.2", "3706.1", "3750.3", "3794.7", "3839.5", "3884.5", "3929.8", "3975.4", "4021.2", "4067.4", "4113.8", "4160.5", "4207.5", "4254.8", "4302.3", "4350.2", "4398.3", "4446.6", "4495.3", "4544.2", "4593.3", "4642.8", "4893.7", "5150.7", "5413.4", "5681.2", "5953.9", "6231.1", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22446", "0.29648", "0.36722", "0.43675", "0.50512", "0.57239", "0.63861", "0.70380", "0.76802", "0.83129", "0.89365", "7.7727", "7.8013", "7.8292", "7.8567", "7.8837", "7.9103", "7.9365", "7.9623", "7.9877", "8.0128", "8.0375", "8.0620", "8.0861", "8.1099", "8.1334", "8.1566", "8.1796", "8.2023", "8.2248", "8.2470", "8.2690", "8.2908", "8.3123", "8.3337", "8.3548", "8.3757", "8.3964", "8.4372", "8.4773", "8.5167", "8.5554", "8.5935", "8.6309", "8.6678", "8.7041", "8.7398", "8.7750", "8.8097", "8.8439", "8.8777", "8.9110", "8.9438", "8.9763", "9.0083", "9.0399", "9.0711", "9.1020", "9.1325", "9.1627", "9.1925", "9.2220", "9.2511", "9.2800", "9.3086", "9.3368", "9.3648", "9.3925", "9.4471", "9.5007", "9.5534", "9.6051", "9.6559", "9.7060", "9.7552", "9.8036", "9.8514", "9.8984", "9.9448", "9.9905", "10.036", "10.080", "10.124", "10.167", "10.210", "10.253", "10.294", "10.336", "10.377", "10.417", "10.457", "10.497", "10.536", "10.725", "10.906", "11.079", "11.244", "11.402", "11.554", "11.841", "12.108" ); 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t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.81", "999.94", "999.67", "999.07", "998.18", "997.02", "995.62", "994.01", "992.19", "990.19", "988.01", "985.67", "983.17", "980.52", "977.74", "974.82", "0.24737", "0.24378", "0.24030", "0.23692", "0.23365", "0.23047", "0.22739", "0.22439", "0.22147", "0.21863", "0.21587", "0.21317", "0.21055", "0.20799", "0.20550", "0.20306", "0.20069", "0.19837", "0.19611", "0.19389", "0.19173", "0.18962", "0.18755", "0.18553", "0.18355", "0.17972", "0.17605", "0.17253", "0.16915", "0.16590", "0.16277", "0.15976", "0.15686", "0.15406", "0.15136", "0.14876", "0.14624", "0.14381", "0.14146", "0.13918", "0.13698", "0.13484", "0.13277", "0.13077", "0.12882", "0.12693", "0.12510", "0.12331", "0.12158", "0.11990", "0.11826", "0.11667", "0.11512", "0.11361", "0.11213", "0.10930", "0.10661", "0.10405", "0.10161", "0.099280", "0.097055", "0.094928", "0.092892", "0.090942", "0.089072", "0.087277", "0.085554", "0.083897", "0.082303", "0.080769", "0.079290", "0.077865", "0.076490", "0.075163", "0.073882", "0.072643", "0.071445", "0.070286", "0.069164", "0.068077", "0.063119", "0.058834", "0.055093", "0.051800", "0.048879", "0.046269", "0.041806", "0.038127" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.00", "21.06", "42.06", "63.02", "83.95", "104.86", "125.77", "146.66", "167.56", "188.46", "209.37", "230.28", "251.20", "272.13", "293.07", "314.03", "2644.3", "2654.2", "2664.1", "2673.9", "2683.7", "2693.5", "2703.2", "2713.0", "2722.7", "2732.4", "2742.1", "2751.8", "2761.5", "2771.2", "2780.9", "2790.6", "2800.3", "2810.1", "2819.8", "2829.5", "2839.2", "2849.0", "2858.7", "2868.5", "2878.2", "2897.8", "2917.4", "2937.0", "2956.7", "2976.5", "2996.3", "3016.1", "3036.0", "3056.0", "3076.0", "3096.1", "3116.2", "3136.4", "3156.7", "3177.0", "3197.4", "3217.8", "3238.3", "3258.9", "3279.5", "3300.2", "3320.9", "3341.8", "3362.6", "3383.6", "3404.6", "3425.7", "3446.9", "3468.1", "3489.4", "3532.2", "3575.2", "3618.5", "3662.2", "3706.0", "3750.2", "3794.7", "3839.4", "3884.4", "3929.7", "3975.3", "4021.2", "4067.3", "4113.8", "4160.5", "4207.5", "4254.8", "4302.3", "4350.1", "4398.2", "4446.6", "4495.2", "4544.1", "4593.3", "4642.7", "4893.7", "5150.7", "5413.3", "5681.2", "5953.9", "6231.1", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22446", "0.29648", "0.36722", "0.43674", "0.50512", "0.57239", "0.63860", "0.70380", "0.76801", "0.83128", "0.89364", "0.95513", "1.0158", "7.6925", "7.7204", "7.7477", "7.7746", "7.8010", "7.8270", "7.8527", "7.8779", "7.9028", "7.9274", "7.9516", "7.9755", "7.9992", "8.0225", "8.0456", "8.0684", "8.0909", "8.1132", "8.1353", "8.1571", "8.1787", "8.2000", "8.2212", "8.2421", "8.2629", "8.3038", "8.3440", "8.3834", "8.4222", "8.4603", "8.4977", "8.5346", "8.5709", "8.6067", "8.6419", "8.6767", "8.7109", "8.7447", "8.7780", "8.8108", "8.8433", "8.8753", "8.9069", "8.9382", "8.9691", "8.9996", "9.0297", "9.0596", "9.0891", "9.1182", "9.1471", "9.1757", "9.2039", "9.2319", "9.2596", "9.3143", "9.3679", "9.4205", "9.4723", "9.5231", "9.5731", "9.6223", "9.6708", "9.7185", "9.7656", "9.8119", "9.8577", "9.9028", "9.9473", "9.9912", "10.035", "10.077", "10.120", "10.162", "10.203", "10.244", "10.284", "10.324", "10.364", "10.403", "10.593", "10.773", "10.946", "11.111", "11.269", "11.421", "11.708", "11.975" ); "specific volume" = ( "cm3/g@L3/M", "1.00019", "1.00006", "1.00033", "1.00093", "1.00182", "1.00299", "1.00440", "1.00603", "1.00787", "1.00991", "1.01214", "1.01454", "1.01712", "1.01986", "1.02277", "1.02584", "4042.5", "4102.1", "4161.5", "4220.8", "4279.9", "4338.9", "4397.8", "4456.6", "4515.3", "4573.9", "4632.5", "4691.0", "4749.5", "4807.9", "4866.2", "4924.5", "4982.8", "5041.1", "5099.3", "5157.5", "5215.6", "5273.7", "5331.9", "5389.9", "5448.0", "5564.1", "5680.1", "5796.1", "5912.0", "6027.8", "6143.7", "6259.4", "6375.2", "6490.9", "6606.6", "6722.3", "6838.0", "6953.6", "7069.3", "7184.9", "7300.5", "7416.1", "7531.6", "7647.2", "7762.8", "7878.3", "7993.8", "8109.4", "8224.9", "8340.4", "8455.9", "8571.4", "8686.9", "8802.4", "8917.9", "9148.8", "9379.8", "9610.7", "9841.6", "10073.", "10303.", "10534.", "10765.", "10996.", "11227.", "11458.", "11689.", "11919.", "12150.", "12381.", "12612.", "12843.", "13074.", "13304.", "13535.", "13766.", "13997.", "14228.", "14458.", "14689.", "15843.", "16997.", "18151.", "19305.", "20459.", "21613.", "23920.", "26228." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.82", "999.94", "999.68", "999.08", "998.18", "997.02", "995.63", "994.01", "992.19", "990.19", "988.01", "985.67", "983.17", "980.53", "977.74", "974.82", "971.77", "0.30530", "0.30090", "0.29664", "0.29251", "0.28850", "0.28462", "0.28084", "0.27716", "0.27359", "0.27012", "0.26673", "0.26343", "0.26022", "0.25709", "0.25403", "0.25105", "0.24814", "0.24530", "0.24252", "0.23981", "0.23716", "0.23457", "0.23204", "0.22956", "0.22476", "0.22016", "0.21575", "0.21151", "0.20744", "0.20353", "0.19976", "0.19613", "0.19263", "0.18925", "0.18599", "0.18284", "0.17980", "0.17685", "0.17401", "0.17125", "0.16858", "0.16599", "0.16348", "0.16105", "0.15868", "0.15639", "0.15416", "0.15199", "0.14989", "0.14784", "0.14585", "0.14391", "0.14202", "0.14018", "0.13664", "0.13327", "0.13007", "0.12702", "0.12411", "0.12132", "0.11866", "0.11612", "0.11368", "0.11134", "0.10910", "0.10694", "0.10487", "0.10288", "0.10096", "0.099115", "0.097333", "0.095614", "0.093955", "0.092353", "0.090805", "0.089307", "0.087858", "0.086456", "0.085097", "0.078899", "0.073542", "0.068867", "0.064750", "0.061098", "0.057836", "0.052257", "0.047659" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.01", "21.07", "42.07", "63.03", "83.96", "104.87", "125.78", "146.67", "167.57", "188.47", "209.37", "230.29", "251.21", "272.14", "293.08", "314.04", "335.01", "2652.6", "2662.6", "2672.5", "2682.4", "2692.3", "2702.1", "2711.9", "2721.7", "2731.5", "2741.2", "2751.0", "2760.7", "2770.5", "2780.2", "2790.0", "2799.7", "2809.4", "2819.2", "2828.9", "2838.7", "2848.4", "2858.2", "2868.0", "2877.8", "2897.4", "2917.0", "2936.7", "2956.4", "2976.1", "2996.0", "3015.8", "3035.8", "3055.7", "3075.8", "3095.8", "3116.0", "3136.2", "3156.5", "3176.8", "3197.2", "3217.6", "3238.1", "3258.7", "3279.3", "3300.0", "3320.8", "3341.6", "3362.5", "3383.5", "3404.5", "3425.6", "3446.7", "3468.0", "3489.3", "3532.1", "3575.1", "3618.5", "3662.1", "3706.0", "3750.1", "3794.6", "3839.3", "3884.4", "3929.7", "3975.3", "4021.1", "4067.3", "4113.7", "4160.4", "4207.4", "4254.7", "4302.3", "4350.1", "4398.2", "4446.6", "4495.2", "4544.1", "4593.3", "4642.7", "4893.7", "5150.7", "5413.3", "5681.2", "5953.9", "6231.1", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22446", "0.29647", "0.36721", "0.43674", "0.50511", "0.57239", "0.63860", "0.70379", "0.76801", "0.83128", "0.89364", "0.95512", "1.0158", "1.0756", "7.6138", "7.6415", "7.6686", "7.6953", "7.7215", "7.7474", "7.7728", "7.7978", "7.8225", "7.8469", "7.8710", "7.8947", "7.9181", "7.9413", "7.9642", "7.9868", "8.0091", "8.0312", "8.0531", "8.0748", "8.0962", "8.1174", "8.1384", "8.1592", "8.2001", "8.2404", "8.2799", "8.3187", "8.3568", "8.3943", "8.4313", "8.4676", "8.5034", "8.5386", "8.5734", "8.6076", "8.6414", "8.6747", "8.7076", "8.7401", "8.7721", "8.8038", "8.8350", "8.8659", "8.8964", "8.9266", "8.9564", "8.9859", "9.0151", "9.0440", "9.0726", "9.1008", "9.1288", "9.1566", "9.2112", "9.2648", "9.3175", "9.3692", "9.4201", "9.4701", "9.5193", "9.5678", "9.6155", "9.6625", "9.7089", "9.7546", "9.7998", "9.8443", "9.8882", "9.9316", "9.9745", "10.017", "10.059", "10.100", "10.141", "10.181", "10.221", "10.261", "10.300", "10.490", "10.670", "10.843", "11.008", "11.166", "11.318", "11.605", "11.872" ); "specific volume" = ( "cm3/g@L3/M", "1.00018", "1.00006", "1.00032", "1.00092", "1.00182", "1.00298", "1.00439", "1.00603", "1.00787", "1.00991", "1.01213", "1.01454", "1.01711", "1.01986", "1.02276", "1.02583", "1.02905", "3275.4", "3323.3", "3371.1", "3418.7", "3466.1", "3513.5", "3560.8", "3608.0", "3655.1", "3702.1", "3749.1", "3796.0", "3842.9", "3889.7", "3936.5", "3983.3", "4030.0", "4076.6", "4123.3", "4169.9", "4216.5", "4263.1", "4309.6", "4356.2", "4449.2", "4542.1", "4635.0", "4727.8", "4820.6", "4913.4", "5006.1", "5098.8", "5191.4", "5284.0", "5376.7", "5469.2", "5561.8", "5654.4", "5746.9", "5839.4", "5931.9", "6024.4", "6116.9", "6209.4", "6301.9", "6394.3", "6486.8", "6579.2", "6671.7", "6764.1", "6856.5", "6948.9", "7041.4", "7133.8", "7318.6", "7503.4", "7688.1", "7872.9", "8057.6", "8242.4", "8427.1", "8611.8", "8796.5", "8981.2", "9165.9", "9350.6", "9535.3", "9720.0", "9904.7", "10089.", "10274.", "10459.", "10643.", "10828.", "11013.", "11197.", "11382.", "11567.", "11751.", "12674.", "13598.", "14521.", "15444.", "16367.", "17290.", "19136.", "20982." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.82", "999.95", "999.68", "999.08", "998.19", "997.03", "995.63", "994.02", "992.20", "990.19", "988.02", "985.68", "983.18", "980.53", "977.75", "974.82", "971.77", "968.59", "0.36173", "0.35656", "0.35156", "0.34670", "0.34200", "0.33743", "0.33299", "0.32868", "0.32448", "0.32039", "0.31642", "0.31254", "0.30876", "0.30508", "0.30149", "0.29798", "0.29456", "0.29122", "0.28795", "0.28476", "0.28165", "0.27860", "0.27561", "0.26984", "0.26431", "0.25900", "0.25391", "0.24902", "0.24431", "0.23978", "0.23542", "0.23121", "0.22715", "0.22324", "0.21945", "0.21580", "0.21226", "0.20884", "0.20553", "0.20233", "0.19922", "0.19620", "0.19328", "0.19044", "0.18769", "0.18501", "0.18241", "0.17988", "0.17742", "0.17503", "0.17270", "0.17044", "0.16823", "0.16398", "0.15994", "0.15609", "0.15243", "0.14893", "0.14560", "0.14240", "0.13935", "0.13642", "0.13362", "0.13092", "0.12834", "0.12585", "0.12346", "0.12116", "0.11894", "0.11680", "0.11474", "0.11275", "0.11083", "0.10897", "0.10717", "0.10543", "0.10375", "0.10212", "0.094679", "0.088251", "0.082640", "0.077700", "0.073318", "0.069403", "0.062708", "0.057190" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.02", "21.08", "42.08", "63.04", "83.97", "104.88", "125.78", "146.68", "167.58", "188.48", "209.38", "230.29", "251.21", "272.14", "293.09", "314.05", "335.02", "356.02", "2661.1", "2671.1", "2681.1", "2691.1", "2701.0", "2710.9", "2720.7", "2730.5", "2740.3", "2750.1", "2759.9", "2769.7", "2779.5", "2789.3", "2799.0", "2808.8", "2818.6", "2828.4", "2838.1", "2847.9", "2857.7", "2867.5", "2877.3", "2896.9", "2916.6", "2936.3", "2956.0", "2975.8", "2995.7", "3015.5", "3035.5", "3055.5", "3075.5", "3095.6", "3115.8", "3136.0", "3156.3", "3176.6", "3197.0", "3217.4", "3238.0", "3258.5", "3279.2", "3299.9", "3320.7", "3341.5", "3362.4", "3383.3", "3404.4", "3425.5", "3446.6", "3467.9", "3489.2", "3532.0", "3575.0", "3618.4", "3662.0", "3705.9", "3750.1", "3794.5", "3839.3", "3884.3", "3929.6", "3975.2", "4021.1", "4067.2", "4113.7", "4160.4", "4207.4", "4254.7", "4302.2", "4350.1", "4398.2", "4446.5", "4495.2", "4544.1", "4593.2", "4642.7", "4893.6", "5150.6", "5413.3", "5681.2", "5953.9", "6231.0", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29647", "0.36721", "0.43674", "0.50511", "0.57238", "0.63859", "0.70379", "0.76800", "0.83127", "0.89363", "0.95512", "1.0158", "1.0756", "1.1346", "7.5540", "7.5814", "7.6084", "7.6348", "7.6609", "7.6865", "7.7117", "7.7365", "7.7610", "7.7852", "7.8090", "7.8326", "7.8558", "7.8788", "7.9015", "7.9239", "7.9461", "7.9680", "7.9897", "8.0112", "8.0324", "8.0535", "8.0743", "8.1153", "8.1556", "8.1952", "8.2340", "8.2722", "8.3098", "8.3467", "8.3831", "8.4189", "8.4542", "8.4889", "8.5232", "8.5570", "8.5904", "8.6232", "8.6557", "8.6878", "8.7194", "8.7507", "8.7816", "8.8121", "8.8423", "8.8721", "8.9017", "8.9308", "8.9597", "8.9883", "9.0166", "9.0446", "9.0723", "9.1270", "9.1806", "9.2332", "9.2850", "9.3358", "9.3859", "9.4351", "9.4836", "9.5313", "9.5784", "9.6247", "9.6705", "9.7156", "9.7601", "9.8040", "9.8474", "9.8903", "9.9326", "9.9745", "10.016", "10.057", "10.097", "10.137", "10.177", "10.216", "10.406", "10.586", "10.759", "10.924", "11.082", "11.234", "11.521", "11.788" ); "specific volume" = ( "cm3/g@L3/M", "1.00018", "1.00005", "1.00032", "1.00092", "1.00182", "1.00298", "1.00439", "1.00602", "1.00786", "1.00990", "1.01213", "1.01453", "1.01711", "1.01985", "1.02276", "1.02583", "1.02905", "1.03243", "2764.5", "2804.6", "2844.5", "2884.3", "2924.0", "2963.6", "3003.1", "3042.5", "3081.9", "3121.2", "3160.4", "3199.6", "3238.7", "3277.8", "3316.9", "3355.9", "3394.9", "3433.8", "3472.8", "3511.7", "3550.6", "3589.4", "3628.3", "3705.9", "3783.4", "3860.9", "3938.4", "4015.8", "4093.2", "4170.5", "4247.8", "4325.1", "4402.3", "4479.5", "4556.7", "4633.9", "4711.1", "4788.3", "4865.4", "4942.5", "5019.6", "5096.7", "5173.8", "5250.9", "5328.0", "5405.1", "5482.1", "5559.2", "5636.2", "5713.3", "5790.3", "5867.3", "5944.4", "6098.4", "6252.4", "6406.4", "6560.4", "6714.4", "6868.4", "7022.3", "7176.3", "7330.2", "7484.1", "7638.1", "7792.0", "7945.9", "8099.8", "8253.7", "8407.6", "8561.5", "8715.4", "8869.3", "9023.2", "9177.1", "9331.0", "9484.9", "9638.8", "9792.7", "10562.", "11331.", "12101.", "12870.", "13639.", "14409.", "15947.", "17485." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.83", "999.95", "999.69", "999.09", "998.19", "997.03", "995.64", "994.02", "992.20", "990.20", "988.02", "985.68", "983.18", "980.54", "977.75", "974.83", "971.78", "968.60", "0.42279", "0.41669", "0.41079", "0.40508", "0.39954", "0.39417", "0.38895", "0.38389", "0.37896", "0.37416", "0.36950", "0.36495", "0.36053", "0.35621", "0.35200", "0.34790", "0.34389", "0.33998", "0.33616", "0.33242", "0.32877", "0.32521", "0.32172", "0.31496", "0.30850", "0.30229", "0.29634", "0.29062", "0.28512", "0.27983", "0.27473", "0.26981", "0.26508", "0.26050", "0.25608", "0.25182", "0.24769", "0.24369", "0.23983", "0.23608", "0.23245", "0.22894", "0.22552", "0.22221", "0.21899", "0.21587", "0.21284", "0.20988", "0.20701", "0.20422", "0.20150", "0.19886", "0.19628", "0.19132", "0.18661", "0.18212", "0.17784", "0.17376", "0.16987", "0.16614", "0.16258", "0.15916", "0.15589", "0.15275", "0.14973", "0.14683", "0.14404", "0.14135", "0.13876", "0.13627", "0.13386", "0.13154", "0.12930", "0.12713", "0.12503", "0.12300", "0.12104", "0.11914", "0.11046", "0.10296", "0.096413", "0.090650", "0.085537", "0.080970", "0.073159", "0.066722" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.03", "21.09", "42.09", "63.05", "83.98", "104.89", "125.79", "146.69", "167.59", "188.49", "209.39", "230.30", "251.22", "272.15", "293.10", "314.06", "335.03", "356.02", "2659.6", "2669.7", "2679.8", "2689.8", "2699.8", "2709.8", "2719.7", "2729.6", "2739.5", "2749.3", "2759.1", "2769.0", "2778.8", "2788.6", "2798.4", "2808.2", "2818.0", "2827.8", "2837.6", "2847.4", "2857.2", "2867.0", "2876.8", "2896.5", "2916.2", "2935.9", "2955.7", "2975.5", "2995.4", "3015.3", "3035.2", "3055.2", "3075.3", "3095.4", "3115.6", "3135.8", "3156.1", "3176.4", "3196.8", "3217.3", "3237.8", "3258.4", "3279.0", "3299.7", "3320.5", "3341.3", "3362.3", "3383.2", "3404.3", "3425.4", "3446.5", "3467.8", "3489.1", "3531.9", "3574.9", "3618.3", "3661.9", "3705.8", "3750.0", "3794.5", "3839.2", "3884.2", "3929.5", "3975.1", "4021.0", "4067.2", "4113.6", "4160.3", "4207.3", "4254.6", "4302.2", "4350.0", "4398.1", "4446.5", "4495.1", "4544.0", "4593.2", "4642.6", "4893.6", "5150.6", "5413.3", "5681.2", "5953.9", "6231.0", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29647", "0.36721", "0.43673", "0.50511", "0.57238", "0.63859", "0.70378", "0.76800", "0.83127", "0.89363", "0.95511", "1.0157", "1.0756", "1.1346", "7.4794", "7.5072", "7.5344", "7.5611", "7.5874", "7.6132", "7.6385", "7.6635", "7.6882", "7.7124", "7.7364", "7.7600", "7.7834", "7.8064", "7.8292", "7.8517", "7.8739", "7.8959", "7.9177", "7.9392", "7.9605", "7.9815", "8.0024", "8.0435", "8.0839", "8.1235", "8.1624", "8.2006", "8.2382", "8.2752", "8.3116", "8.3474", "8.3827", "8.4175", "8.4518", "8.4856", "8.5190", "8.5519", "8.5844", "8.6164", "8.6481", "8.6794", "8.7103", "8.7408", "8.7710", "8.8009", "8.8304", "8.8596", "8.8885", "8.9170", "8.9453", "8.9733", "9.0011", "9.0557", "9.1094", "9.1620", "9.2138", "9.2646", "9.3147", "9.3639", "9.4124", "9.4601", "9.5072", "9.5535", "9.5993", "9.6444", "9.6889", "9.7329", "9.7763", "9.8191", "9.8615", "9.9033", "9.9447", "9.9855", "10.026", "10.066", "10.106", "10.145", "10.334", "10.515", "10.688", "10.853", "11.011", "11.163", "11.450", "11.717" ); "specific volume" = ( "cm3/g@L3/M", "1.00017", "1.00005", "1.00031", "1.00091", "1.00181", "1.00298", "1.00438", "1.00602", "1.00786", "1.00990", "1.01212", "1.01453", "1.01711", "1.01985", "1.02276", "1.02582", "1.02904", "1.03242", "2365.3", "2399.9", "2434.3", "2468.7", "2502.9", "2537.0", "2571.0", "2604.9", "2638.8", "2672.6", "2706.4", "2740.1", "2773.7", "2807.3", "2840.9", "2874.4", "2907.9", "2941.4", "2974.8", "3008.2", "3041.6", "3075.0", "3108.3", "3175.0", "3241.5", "3308.0", "3374.5", "3440.9", "3507.3", "3573.6", "3640.0", "3706.2", "3772.5", "3838.7", "3905.0", "3971.2", "4037.3", "4103.5", "4169.7", "4235.8", "4301.9", "4368.0", "4434.1", "4500.2", "4566.3", "4632.4", "4698.5", "4764.5", "4830.6", "4896.6", "4962.7", "5028.7", "5094.8", "5226.8", "5358.9", "5490.9", "5622.9", "5754.9", "5886.9", "6018.9", "6150.9", "6282.8", "6414.8", "6546.7", "6678.7", "6810.6", "6942.6", "7074.5", "7206.4", "7338.4", "7470.3", "7602.2", "7734.1", "7866.0", "7997.9", "8129.8", "8261.7", "8393.7", "9053.1", "9712.6", "10372.", "11031.", "11691.", "12350.", "13669.", "14988." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.83", "999.96", "999.69", "999.09", "998.20", "997.04", "995.64", "994.02", "992.21", "990.20", "988.03", "985.68", "983.19", "980.54", "977.76", "974.83", "971.78", "968.60", "965.30", "0.47703", "0.47022", "0.46363", "0.45725", "0.45106", "0.44505", "0.43922", "0.43356", "0.42805", "0.42268", "0.41746", "0.41238", "0.40743", "0.40260", "0.39788", "0.39329", "0.38880", "0.38442", "0.38014", "0.37595", "0.37187", "0.36787", "0.36013", "0.35272", "0.34562", "0.33880", "0.33225", "0.32595", "0.31990", "0.31406", "0.30844", "0.30302", "0.29778", "0.29273", "0.28785", "0.28312", "0.27856", "0.27413", "0.26985", "0.26570", "0.26168", "0.25777", "0.25399", "0.25031", "0.24674", "0.24327", "0.23989", "0.23661", "0.23342", "0.23031", "0.22728", "0.22434", "0.21867", "0.21328", "0.20815", "0.20326", "0.19860", "0.19414", "0.18989", "0.18581", "0.18191", "0.17816", "0.17457", "0.17112", "0.16781", "0.16462", "0.16155", "0.15859", "0.15574", "0.15299", "0.15033", "0.14777", "0.14529", "0.14290", "0.14058", "0.13833", "0.13616", "0.12624", "0.11767", "0.11019", "0.10360", "0.097757", "0.092537", "0.083610", "0.076253" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.04", "21.10", "42.10", "63.06", "83.99", "104.90", "125.80", "146.70", "167.60", "188.50", "209.40", "230.31", "251.23", "272.16", "293.11", "314.06", "335.04", "356.03", "377.05", "2668.3", "2678.5", "2688.6", "2698.7", "2708.7", "2718.7", "2728.6", "2738.6", "2748.5", "2758.3", "2768.2", "2778.1", "2787.9", "2797.7", "2807.6", "2817.4", "2827.2", "2837.1", "2846.9", "2856.7", "2866.5", "2876.4", "2896.1", "2915.8", "2935.5", "2955.3", "2975.2", "2995.0", "3015.0", "3034.9", "3055.0", "3075.0", "3095.1", "3115.3", "3135.6", "3155.9", "3176.2", "3196.6", "3217.1", "3237.6", "3258.2", "3278.9", "3299.6", "3320.4", "3341.2", "3362.1", "3383.1", "3404.1", "3425.2", "3446.4", "3467.6", "3488.9", "3531.8", "3574.8", "3618.2", "3661.8", "3705.7", "3749.9", "3794.4", "3839.1", "3884.2", "3929.5", "3975.1", "4021.0", "4067.1", "4113.6", "4160.3", "4207.3", "4254.6", "4302.1", "4350.0", "4398.1", "4446.5", "4495.1", "4544.0", "4593.2", "4642.6", "4893.6", "5150.6", "5413.3", "5681.2", "5953.9", "6231.0", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29647", "0.36721", "0.43673", "0.50510", "0.57237", "0.63858", "0.70378", "0.76799", "0.83126", "0.89362", "0.95510", "1.0157", "1.0756", "1.1346", "1.1929", "7.4424", "7.4699", "7.4969", "7.5233", "7.5493", "7.5749", "7.6000", "7.6248", "7.6492", "7.6733", "7.6970", "7.7204", "7.7435", "7.7664", "7.7889", "7.8113", "7.8333", "7.8551", "7.8767", "7.8980", "7.9191", "7.9400", "7.9812", "8.0216", "8.0613", "8.1002", "8.1385", "8.1761", "8.2131", "8.2496", "8.2854", "8.3208", "8.3556", "8.3899", "8.4237", "8.4571", "8.4900", "8.5225", "8.5546", "8.5863", "8.6176", "8.6485", "8.6790", "8.7092", "8.7391", "8.7686", "8.7978", "8.8267", "8.8553", "8.8836", "8.9116", "8.9393", "8.9940", "9.0476", "9.1003", "9.1521", "9.2029", "9.2530", "9.3022", "9.3507", "9.3984", "9.4455", "9.4919", "9.5376", "9.5827", "9.6273", "9.6712", "9.7146", "9.7575", "9.7998", "9.8416", "9.8830", "9.9239", "9.9643", "10.004", "10.044", "10.083", "10.273", "10.453", "10.626", "10.791", "10.949", "11.101", "11.388", "11.655" ); "specific volume" = ( "cm3/g@L3/M", "1.00017", "1.00004", "1.00031", "1.00091", "1.00181", "1.00297", "1.00438", "1.00601", "1.00785", "1.00989", "1.01212", "1.01452", "1.01710", "1.01984", "1.02275", "1.02582", "1.02904", "1.03242", "1.03595", "2096.3", "2126.7", "2156.9", "2187.0", "2217.0", "2246.9", "2276.8", "2306.5", "2336.2", "2365.8", "2395.4", "2424.9", "2454.4", "2483.9", "2513.3", "2542.7", "2572.0", "2601.3", "2630.6", "2659.9", "2689.1", "2718.4", "2776.8", "2835.1", "2893.4", "2951.6", "3009.8", "3067.9", "3126.0", "3184.1", "3242.1", "3300.1", "3358.1", "3416.1", "3474.1", "3532.0", "3589.9", "3647.8", "3705.7", "3763.6", "3821.5", "3879.4", "3937.2", "3995.1", "4052.9", "4110.7", "4168.6", "4226.4", "4284.2", "4342.0", "4399.8", "4457.6", "4573.2", "4688.7", "4804.3", "4919.8", "5035.3", "5150.8", "5266.3", "5381.8", "5497.3", "5612.8", "5728.3", "5843.7", "5959.2", "6074.6", "6190.1", "6305.5", "6421.0", "6536.4", "6651.8", "6767.3", "6882.7", "6998.1", "7113.6", "7229.0", "7344.4", "7921.5", "8498.5", "9075.5", "9652.5", "10229.", "10806.", "11960.", "13114." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.84", "999.96", "999.70", "999.10", "998.20", "997.04", "995.64", "994.03", "992.21", "990.21", "988.03", "985.69", "983.19", "980.55", "977.76", "974.84", "971.79", "968.61", "965.30", "961.88", "0.52984", "0.52236", "0.51511", "0.50810", "0.50129", "0.49469", "0.48827", "0.48204", "0.47597", "0.47007", "0.46432", "0.45872", "0.45327", "0.44795", "0.44275", "0.43769", "0.43274", "0.42791", "0.42319", "0.41858", "0.41407", "0.40534", "0.39699", "0.38898", "0.38129", "0.37391", "0.36682", "0.35999", "0.35342", "0.34708", "0.34098", "0.33508", "0.32939", "0.32389", "0.31857", "0.31343", "0.30845", "0.30363", "0.29896", "0.29443", "0.29003", "0.28577", "0.28163", "0.27761", "0.27370", "0.26990", "0.26621", "0.26262", "0.25912", "0.25571", "0.25240", "0.24602", "0.23995", "0.23418", "0.22868", "0.22343", "0.21842", "0.21363", "0.20904", "0.20465", "0.20044", "0.19640", "0.19252", "0.18879", "0.18520", "0.18175", "0.17842", "0.17521", "0.17212", "0.16913", "0.16624", "0.16345", "0.16076", "0.15815", "0.15562", "0.15318", "0.14202", "0.13238", "0.12396", "0.11655", "0.10998", "0.10410", "0.094060", "0.085784" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.05", "21.11", "42.11", "63.07", "84.00", "104.91", "125.81", "146.71", "167.61", "188.51", "209.41", "230.32", "251.24", "272.17", "293.11", "314.07", "335.05", "356.04", "377.05", "398.09", "2677.1", "2687.4", "2697.5", "2707.6", "2717.7", "2727.7", "2737.7", "2747.6", "2757.5", "2767.4", "2777.3", "2787.2", "2797.1", "2806.9", "2816.8", "2826.7", "2836.5", "2846.4", "2856.2", "2866.1", "2875.9", "2895.6", "2915.4", "2935.2", "2955.0", "2974.8", "2994.7", "3014.7", "3034.7", "3054.7", "3074.8", "3094.9", "3115.1", "3135.4", "3155.7", "3176.0", "3196.4", "3216.9", "3237.5", "3258.1", "3278.7", "3299.4", "3320.2", "3341.1", "3362.0", "3383.0", "3404.0", "3425.1", "3446.3", "3467.5", "3488.8", "3531.7", "3574.7", "3618.1", "3661.7", "3705.7", "3749.8", "3794.3", "3839.1", "3884.1", "3929.4", "3975.0", "4020.9", "4067.1", "4113.5", "4160.3", "4207.3", "4254.5", "4302.1", "4349.9", "4398.0", "4446.4", "4495.1", "4544.0", "4593.2", "4642.6", "4893.6", "5150.6", "5413.3", "5681.2", "5953.9", "6231.0", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29647", "0.36720", "0.43673", "0.50510", "0.57237", "0.63858", "0.70377", "0.76799", "0.83126", "0.89362", "0.95510", "1.0157", "1.0756", "1.1346", "1.1929", "1.2504", "7.4126", "7.4399", "7.4665", "7.4927", "7.5185", "7.5438", "7.5687", "7.5932", "7.6174", "7.6412", "7.6647", "7.6879", "7.7108", "7.7335", "7.7559", "7.7780", "7.7998", "7.8214", "7.8428", "7.8640", "7.8849", "7.9262", "7.9667", "8.0064", "8.0454", "8.0837", "8.1213", "8.1584", "8.1949", "8.2307", "8.2661", "8.3009", "8.3353", "8.3691", "8.4025", "8.4354", "8.4679", "8.5000", "8.5317", "8.5630", "8.5939", "8.6245", "8.6547", "8.6846", "8.7141", "8.7433", "8.7722", "8.8008", "8.8291", "8.8571", "8.8849", "8.9396", "8.9932", "9.0459", "9.0976", "9.1485", "9.1986", "9.2478", "9.2963", "9.3440", "9.3911", "9.4375", "9.4832", "9.5283", "9.5729", "9.6168", "9.6602", "9.7031", "9.7454", "9.7873", "9.8286", "9.8695", "9.9099", "9.9499", "9.9895", "10.029", "10.218", "10.399", "10.572", "10.737", "10.895", "11.047", "11.334", "11.601" ); "specific volume" = ( "cm3/g@L3/M", "1.00016", "1.00004", "1.00030", "1.00090", "1.00180", "1.00297", "1.00437", "1.00601", "1.00785", "1.00989", "1.01211", "1.01452", "1.01710", "1.01984", "1.02275", "1.02581", "1.02903", "1.03241", "1.03594", "1.03963", "1887.4", "1914.4", "1941.3", "1968.1", "1994.8", "2021.5", "2048.0", "2074.5", "2101.0", "2127.3", "2153.7", "2180.0", "2206.2", "2232.4", "2258.6", "2284.7", "2310.9", "2336.9", "2363.0", "2389.1", "2415.1", "2467.1", "2519.0", "2570.8", "2622.7", "2674.4", "2726.2", "2777.9", "2829.5", "2881.1", "2932.8", "2984.3", "3035.9", "3087.5", "3139.0", "3190.5", "3242.0", "3293.5", "3345.0", "3396.4", "3447.9", "3499.3", "3550.8", "3602.2", "3653.6", "3705.0", "3756.4", "3807.8", "3859.2", "3910.6", "3962.0", "4064.8", "4167.5", "4270.2", "4372.9", "4475.6", "4578.3", "4681.0", "4783.7", "4886.3", "4989.0", "5091.6", "5194.3", "5296.9", "5399.6", "5502.2", "5604.8", "5707.4", "5810.1", "5912.7", "6015.3", "6117.9", "6220.5", "6323.1", "6425.7", "6528.3", "7041.3", "7554.2", "8067.1", "8580.0", "9092.9", "9605.8", "10631.", "11657." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.84", "999.97", "999.70", "999.10", "998.21", "997.05", "995.65", "994.03", "992.22", "990.21", "988.03", "985.69", "983.20", "980.55", "977.76", "974.84", "971.79", "968.61", "965.31", "961.89", "0.58967", "0.58127", "0.57315", "0.56529", "0.55767", "0.55028", "0.54311", "0.53614", "0.52936", "0.52277", "0.51636", "0.51011", "0.50402", "0.49808", "0.49229", "0.48664", "0.48113", "0.47574", "0.47048", "0.46534", "0.46031", "0.45059", "0.44129", "0.43237", "0.42382", "0.41560", "0.40770", "0.40011", "0.39280", "0.38575", "0.37895", "0.37240", "0.36607", "0.35995", "0.35404", "0.34832", "0.34278", "0.33742", "0.33222", "0.32719", "0.32230", "0.31756", "0.31296", "0.30849", "0.30414", "0.29992", "0.29582", "0.29182", "0.28793", "0.28415", "0.28046", "0.27337", "0.26663", "0.26021", "0.25410", "0.24827", "0.24270", "0.23738", "0.23228", "0.22740", "0.22272", "0.21823", "0.21392", "0.20977", "0.20578", "0.20194", "0.19825", "0.19468", "0.19124", "0.18792", "0.18472", "0.18162", "0.17862", "0.17572", "0.17292", "0.17020", "0.15780", "0.14708", "0.13773", "0.12950", "0.12220", "0.11567", "0.10451", "0.095316" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.06", "21.12", "42.12", "63.08", "84.01", "104.92", "125.82", "146.72", "167.62", "188.51", "209.42", "230.33", "251.25", "272.18", "293.12", "314.08", "335.05", "356.05", "377.06", "398.10", "2675.8", "2686.1", "2696.3", "2706.5", "2716.6", "2726.7", "2736.7", "2746.7", "2756.7", "2766.7", "2776.6", "2786.5", "2796.4", "2806.3", "2816.2", "2826.1", "2836.0", "2845.8", "2855.7", "2865.6", "2875.5", "2895.2", "2915.0", "2934.8", "2954.6", "2974.5", "2994.4", "3014.4", "3034.4", "3054.4", "3074.5", "3094.7", "3114.9", "3135.1", "3155.5", "3175.8", "3196.3", "3216.7", "3237.3", "3257.9", "3278.6", "3299.3", "3320.1", "3340.9", "3361.9", "3382.8", "3403.9", "3425.0", "3446.2", "3467.4", "3488.7", "3531.6", "3574.7", "3618.0", "3661.7", "3705.6", "3749.8", "3794.3", "3839.0", "3884.0", "3929.4", "3975.0", "4020.9", "4067.0", "4113.5", "4160.2", "4207.2", "4254.5", "4302.1", "4349.9", "4398.0", "4446.4", "4495.0", "4543.9", "4593.1", "4642.6", "4893.5", "5150.6", "5413.2", "5681.2", "5953.9", "6231.0", "6797.2", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29646", "0.36720", "0.43673", "0.50510", "0.57237", "0.63858", "0.70377", "0.76798", "0.83125", "0.89361", "0.95509", "1.0157", "1.0755", "1.1346", "1.1928", "1.2504", "7.3610", "7.3885", "7.4155", "7.4418", "7.4678", "7.4932", "7.5183", "7.5429", "7.5672", "7.5911", "7.6148", "7.6380", "7.6610", "7.6838", "7.7062", "7.7284", "7.7503", "7.7719", "7.7934", "7.8146", "7.8356", "7.8769", "7.9174", "7.9572", "7.9962", "8.0346", "8.0723", "8.1094", "8.1459", "8.1818", "8.2172", "8.2520", "8.2864", "8.3202", "8.3536", "8.3866", "8.4191", "8.4512", "8.4829", "8.5142", "8.5452", "8.5757", "8.6059", "8.6358", "8.6653", "8.6946", "8.7235", "8.7521", "8.7804", "8.8084", "8.8361", "8.8908", "8.9445", "8.9972", "9.0489", "9.0998", "9.1499", "9.1991", "9.2476", "9.2954", "9.3424", "9.3888", "9.4345", "9.4797", "9.5242", "9.5681", "9.6115", "9.6544", "9.6968", "9.7386", "9.7800", "9.8209", "9.8613", "9.9013", "9.9408", "9.9800", "10.170", "10.350", "10.523", "10.688", "10.846", "10.998", "11.285", "11.552" ); "specific volume" = ( "cm3/g@L3/M", "1.00016", "1.00003", "1.00030", "1.00090", "1.00180", "1.00296", "1.00437", "1.00600", "1.00785", "1.00988", "1.01211", "1.01452", "1.01709", "1.01984", "1.02274", "1.02581", "1.02903", "1.03241", "1.03594", "1.03962", "1695.9", "1720.4", "1744.7", "1769.0", "1793.2", "1817.2", "1841.2", "1865.2", "1889.1", "1912.9", "1936.7", "1960.4", "1984.1", "2007.7", "2031.3", "2054.9", "2078.5", "2102.0", "2125.5", "2149.0", "2172.4", "2219.3", "2266.1", "2312.8", "2359.5", "2406.2", "2452.8", "2499.3", "2545.9", "2592.4", "2638.8", "2685.3", "2731.7", "2778.2", "2824.6", "2871.0", "2917.3", "2963.7", "3010.0", "3056.4", "3102.7", "3149.0", "3195.3", "3241.6", "3287.9", "3334.2", "3380.5", "3426.7", "3473.0", "3519.3", "3565.5", "3658.0", "3750.5", "3843.0", "3935.4", "4027.9", "4120.3", "4212.7", "4305.2", "4397.6", "4490.0", "4582.4", "4674.7", "4767.1", "4859.5", "4951.9", "5044.3", "5136.6", "5229.0", "5321.3", "5413.7", "5506.1", "5598.4", "5690.8", "5783.1", "5875.4", "6337.1", "6798.8", "7260.4", "7722.0", "8183.6", "8645.2", "9568.4", "10491." ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.85", "999.97", "999.71", "999.11", "998.21", "997.05", "995.65", "994.04", "992.22", "990.22", "988.04", "985.70", "983.20", "980.55", "977.77", "974.85", "971.79", "968.62", "965.31", "961.89", "958.35", "0.64037", "0.63136", "0.62264", "0.61420", "0.60601", "0.59807", "0.59036", "0.58286", "0.57557", "0.56848", "0.56157", "0.55485", "0.54829", "0.54190", "0.53566", "0.52957", "0.52363", "0.51782", "0.51215", "0.50661", "0.49589", "0.48563", "0.47580", "0.46637", "0.45732", "0.44862", "0.44025", "0.43219", "0.42443", "0.41695", "0.40973", "0.40276", "0.39602", "0.38951", "0.38322", "0.37712", "0.37122", "0.36550", "0.35995", "0.35458", "0.34936", "0.34429", "0.33937", "0.33459", "0.32995", "0.32543", "0.32103", "0.31675", "0.31259", "0.30853", "0.30073", "0.29331", "0.28625", "0.27953", "0.27311", "0.26698", "0.26112", "0.25552", "0.25015", "0.24500", "0.24006", "0.23531", "0.23075", "0.22636", "0.22214", "0.21807", "0.21415", "0.21037", "0.20672", "0.20319", "0.19978", "0.19649", "0.19330", "0.19021", "0.18722", "0.17358", "0.16179", "0.15151", "0.14245", "0.13441", "0.12724", "0.11496", "0.10485" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.07", "21.13", "42.13", "63.09", "84.02", "104.93", "125.83", "146.73", "167.62", "188.52", "209.43", "230.34", "251.26", "272.19", "293.13", "314.09", "335.06", "356.06", "377.07", "398.11", "419.17", "2684.8", "2695.2", "2705.4", "2715.6", "2725.7", "2735.8", "2745.9", "2755.9", "2765.9", "2775.9", "2785.8", "2795.8", "2805.7", "2815.6", "2825.5", "2835.4", "2845.3", "2855.2", "2865.1", "2875.0", "2894.8", "2914.6", "2934.4", "2954.3", "2974.2", "2994.1", "3014.1", "3034.1", "3054.2", "3074.3", "3094.5", "3114.7", "3134.9", "3155.3", "3175.6", "3196.1", "3216.6", "3237.1", "3257.7", "3278.4", "3299.1", "3319.9", "3340.8", "3361.7", "3382.7", "3403.8", "3424.9", "3446.1", "3467.3", "3488.6", "3531.5", "3574.6", "3617.9", "3661.6", "3705.5", "3749.7", "3794.2", "3838.9", "3884.0", "3929.3", "3974.9", "4020.8", "4067.0", "4113.4", "4160.2", "4207.2", "4254.5", "4302.0", "4349.9", "4398.0", "4446.4", "4495.0", "4543.9", "4593.1", "4642.5", "4893.5", "5150.6", "5413.2", "5681.1", "5953.9", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29646", "0.36720", "0.43672", "0.50509", "0.57236", "0.63857", "0.70376", "0.76798", "0.83125", "0.89360", "0.95509", "1.0157", "1.0755", "1.1346", "1.1928", "1.2504", "1.3072", "7.3418", "7.3690", "7.3956", "7.4217", "7.4473", "7.4725", "7.4973", "7.5217", "7.5457", "7.5694", "7.5928", "7.6159", "7.6387", "7.6612", "7.6834", "7.7054", "7.7271", "7.7486", "7.7698", "7.7908", "7.8322", "7.8728", "7.9126", "7.9517", "7.9901", "8.0279", "8.0650", "8.1015", "8.1374", "8.1729", "8.2077", "8.2421", "8.2760", "8.3094", "8.3424", "8.3749", "8.4070", "8.4387", "8.4701", "8.5010", "8.5316", "8.5618", "8.5917", "8.6212", "8.6504", "8.6794", "8.7080", "8.7363", "8.7643", "8.7921", "8.8467", "8.9004", "8.9531", "9.0049", "9.0558", "9.1058", "9.1551", "9.2036", "9.2513", "9.2984", "9.3448", "9.3905", "9.4356", "9.4802", "9.5241", "9.5675", "9.6104", "9.6527", "9.6946", "9.7360", "9.7768", "9.8173", "9.8573", "9.8968", "9.9360", "10.126", "10.306", "10.479", "10.644", "10.802", "10.954", "11.241", "11.508" ); "specific volume" = ( "cm3/g@L3/M", "1.00015", "1.00003", "1.00029", "1.00089", "1.00179", "1.00296", "1.00437", "1.00600", "1.00784", "1.00988", "1.01211", "1.01451", "1.01709", "1.01983", "1.02274", "1.02580", "1.02902", "1.03240", "1.03593", "1.03962", "1.04346", "1561.6", "1583.9", "1606.1", "1628.1", "1650.1", "1672.0", "1693.9", "1715.7", "1737.4", "1759.1", "1780.7", "1802.3", "1823.9", "1845.4", "1866.9", "1888.3", "1909.8", "1931.2", "1952.5", "1973.9", "2016.6", "2059.2", "2101.7", "2144.2", "2186.7", "2229.1", "2271.4", "2313.8", "2356.1", "2398.4", "2440.6", "2482.9", "2525.1", "2567.3", "2609.5", "2651.7", "2693.8", "2736.0", "2778.1", "2820.3", "2862.4", "2904.5", "2946.6", "2988.7", "3030.8", "3072.9", "3114.9", "3157.0", "3199.1", "3241.1", "3325.3", "3409.3", "3493.4", "3577.5", "3661.5", "3745.6", "3829.6", "3913.6", "3997.7", "4081.7", "4165.7", "4249.7", "4333.7", "4417.7", "4501.6", "4585.6", "4669.6", "4753.6", "4837.5", "4921.5", "5005.5", "5089.4", "5173.4", "5257.3", "5341.3", "5761.0", "6180.7", "6600.4", "7020.1", "7439.7", "7859.3", "8698.5", "9537.7" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.85", "999.98", "999.71", "999.11", "998.22", "997.06", "995.66", "994.04", "992.22", "990.22", "988.04", "985.70", "983.20", "980.56", "977.77", "974.85", "971.80", "968.62", "965.32", "961.90", "958.36", "0.69967", "0.68974", "0.68015", "0.67087", "0.66187", "0.65315", "0.64469", "0.63646", "0.62847", "0.62069", "0.61313", "0.60576", "0.59857", "0.59157", "0.58474", "0.57808", "0.57158", "0.56522", "0.55902", "0.55296", "0.54123", "0.53001", "0.51927", "0.50896", "0.49907", "0.48956", "0.48042", "0.47162", "0.46314", "0.45496", "0.44708", "0.43947", "0.43211", "0.42500", "0.41813", "0.41147", "0.40503", "0.39878", "0.39273", "0.38686", "0.38117", "0.37564", "0.37027", "0.36505", "0.35998", "0.35505", "0.35025", "0.34558", "0.34103", "0.33661", "0.32809", "0.32000", "0.31229", "0.30495", "0.29795", "0.29126", "0.28487", "0.27875", "0.27290", "0.26728", "0.26189", "0.25671", "0.25173", "0.24695", "0.24234", "0.23790", "0.23362", "0.22950", "0.22551", "0.22166", "0.21795", "0.21435", "0.21087", "0.20750", "0.20424", "0.18936", "0.17650", "0.16528", "0.15540", "0.14663", "0.13880", "0.12541", "0.11438" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.08", "21.14", "42.14", "63.09", "84.02", "104.94", "125.84", "146.74", "167.63", "188.53", "209.43", "230.34", "251.26", "272.19", "293.14", "314.10", "335.07", "356.06", "377.08", "398.12", "419.18", "2683.5", "2693.9", "2704.3", "2714.6", "2724.8", "2734.9", "2745.0", "2755.1", "2765.1", "2775.1", "2785.1", "2795.1", "2805.0", "2815.0", "2824.9", "2834.9", "2844.8", "2854.7", "2864.6", "2874.5", "2894.3", "2914.2", "2934.1", "2953.9", "2973.9", "2993.8", "3013.8", "3033.8", "3053.9", "3074.0", "3094.2", "3114.4", "3134.7", "3155.1", "3175.4", "3195.9", "3216.4", "3237.0", "3257.6", "3278.3", "3299.0", "3319.8", "3340.7", "3361.6", "3382.6", "3403.6", "3424.8", "3446.0", "3467.2", "3488.5", "3531.4", "3574.5", "3617.8", "3661.5", "3705.4", "3749.6", "3794.1", "3838.9", "3883.9", "3929.3", "3974.9", "4020.8", "4066.9", "4113.4", "4160.1", "4207.1", "4254.4", "4302.0", "4349.8", "4397.9", "4446.3", "4495.0", "4543.9", "4593.1", "4642.5", "4893.5", "5150.5", "5413.2", "5681.1", "5953.9", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15108", "0.22445", "0.29646", "0.36719", "0.43672", "0.50509", "0.57236", "0.63857", "0.70376", "0.76797", "0.83124", "0.89360", "0.95508", "1.0157", "1.0755", "1.1346", "1.1928", "1.2504", "1.3072", "7.2989", "7.3263", "7.3531", "7.3794", "7.4052", "7.4305", "7.4554", "7.4800", "7.5041", "7.5279", "7.5514", "7.5745", "7.5974", "7.6199", "7.6422", "7.6643", "7.6860", "7.7076", "7.7289", "7.7499", "7.7914", "7.8320", "7.8719", "7.9111", "7.9495", "7.9873", "8.0244", "8.0610", "8.0970", "8.1324", "8.1673", "8.2017", "8.2356", "8.2690", "8.3020", "8.3345", "8.3667", "8.3984", "8.4297", "8.4607", "8.4913", "8.5215", "8.5514", "8.5809", "8.6102", "8.6391", "8.6677", "8.6960", "8.7240", "8.7518", "8.8065", "8.8602", "8.9129", "8.9646", "9.0155", "9.0656", "9.1149", "9.1633", "9.2111", "9.2582", "9.3046", "9.3503", "9.3954", "9.4400", "9.4839", "9.5273", "9.5702", "9.6126", "9.6544", "9.6958", "9.7367", "9.7771", "9.8171", "9.8567", "9.8958", "10.086", "10.266", "10.439", "10.604", "10.762", "10.914", "11.201", "11.468" ); "specific volume" = ( "cm3/g@L3/M", "1.00015", "1.00002", "1.00029", "1.00089", "1.00179", "1.00295", "1.00436", "1.00599", "1.00784", "1.00988", "1.01210", "1.01451", "1.01708", "1.01983", "1.02273", "1.02580", "1.02902", "1.03240", "1.03593", "1.03961", "1.04345", "1429.3", "1449.8", "1470.3", "1490.6", "1510.9", "1531.0", "1551.1", "1571.2", "1591.2", "1611.1", "1631.0", "1650.8", "1670.6", "1690.4", "1710.2", "1729.9", "1749.6", "1769.2", "1788.8", "1808.5", "1847.6", "1886.7", "1925.8", "1964.8", "2003.7", "2042.7", "2081.5", "2120.4", "2159.2", "2198.0", "2236.7", "2275.5", "2314.2", "2352.9", "2391.6", "2430.3", "2469.0", "2507.6", "2546.3", "2584.9", "2623.5", "2662.1", "2700.8", "2739.4", "2777.9", "2816.5", "2855.1", "2893.7", "2932.3", "2970.8", "3047.9", "3125.0", "3202.1", "3279.2", "3356.3", "3433.3", "3510.4", "3587.4", "3664.4", "3741.4", "3818.4", "3895.4", "3972.4", "4049.4", "4126.4", "4203.4", "4280.4", "4357.4", "4434.3", "4511.3", "4588.3", "4665.3", "4742.2", "4819.2", "4896.1", "5280.9", "5665.7", "6050.4", "6435.1", "6819.7", "7204.4", "7973.7", "8743.0" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.86", "999.98", "999.72", "999.12", "998.22", "997.06", "995.66", "994.05", "992.23", "990.23", "988.05", "985.71", "983.21", "980.56", "977.78", "974.86", "971.80", "968.62", "965.32", "961.90", "958.36", "954.71", "0.74830", "0.73782", "0.72768", "0.71787", "0.70836", "0.69913", "0.69017", "0.68147", "0.67300", "0.66477", "0.65675", "0.64893", "0.64132", "0.63389", "0.62665", "0.61958", "0.61268", "0.60594", "0.59935", "0.58662", "0.57443", "0.56277", "0.55158", "0.54084", "0.53053", "0.52061", "0.51106", "0.50186", "0.49300", "0.48444", "0.47619", "0.46821", "0.46050", "0.45305", "0.44583", "0.43885", "0.43208", "0.42552", "0.41915", "0.41298", "0.40699", "0.40117", "0.39551", "0.39001", "0.38467", "0.37947", "0.37441", "0.36948", "0.36468", "0.35546", "0.34668", "0.33834", "0.33038", "0.32279", "0.31555", "0.30862", "0.30199", "0.29565", "0.28956", "0.28372", "0.27811", "0.27272", "0.26753", "0.26254", "0.25773", "0.25310", "0.24862", "0.24431", "0.24014", "0.23611", "0.23222", "0.22845", "0.22480", "0.22126", "0.20514", "0.19121", "0.17905", "0.16835", "0.15885", "0.15037", "0.13586", "0.12391" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.09", "21.15", "42.15", "63.10", "84.03", "104.95", "125.85", "146.75", "167.64", "188.54", "209.44", "230.35", "251.27", "272.20", "293.15", "314.10", "335.08", "356.07", "377.09", "398.12", "419.19", "440.28", "2692.7", "2703.2", "2713.5", "2723.8", "2734.0", "2744.1", "2754.3", "2764.3", "2774.4", "2784.4", "2794.4", "2804.4", "2814.4", "2824.3", "2834.3", "2844.2", "2854.2", "2864.1", "2874.0", "2893.9", "2913.8", "2933.7", "2953.6", "2973.5", "2993.5", "3013.5", "3033.6", "3053.7", "3073.8", "3094.0", "3114.2", "3134.5", "3154.9", "3175.3", "3195.7", "3216.2", "3236.8", "3257.4", "3278.1", "3298.8", "3319.7", "3340.5", "3361.5", "3382.5", "3403.5", "3424.6", "3445.8", "3467.1", "3488.4", "3531.3", "3574.4", "3617.8", "3661.4", "3705.3", "3749.6", "3794.0", "3838.8", "3883.9", "3929.2", "3974.8", "4020.7", "4066.9", "4113.3", "4160.1", "4207.1", "4254.4", "4301.9", "4349.8", "4397.9", "4446.3", "4494.9", "4543.9", "4593.0", "4642.5", "4893.5", "5150.5", "5413.2", "5681.1", "5953.8", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15107", "0.22444", "0.29646", "0.36719", "0.43672", "0.50509", "0.57235", "0.63856", "0.70375", "0.76797", "0.83123", "0.89359", "0.95507", "1.0157", "1.0755", "1.1346", "1.1928", "1.2504", "1.3072", "1.3633", "7.2868", "7.3138", "7.3403", "7.3663", "7.3917", "7.4168", "7.4414", "7.4657", "7.4896", "7.5132", "7.5364", "7.5593", "7.5819", "7.6043", "7.6264", "7.6482", "7.6698", "7.6911", "7.7122", "7.7538", "7.7945", "7.8344", "7.8736", "7.9121", "7.9499", "7.9871", "8.0237", "8.0597", "8.0951", "8.1300", "8.1644", "8.1984", "8.2318", "8.2648", "8.2974", "8.3295", "8.3613", "8.3926", "8.4236", "8.4542", "8.4844", "8.5143", "8.5439", "8.5731", "8.6020", "8.6306", "8.6590", "8.6870", "8.7148", "8.7695", "8.8231", "8.8759", "8.9276", "8.9785", "9.0286", "9.0779", "9.1264", "9.1741", "9.2212", "9.2676", "9.3133", "9.3585", "9.4030", "9.4470", "9.4904", "9.5332", "9.5756", "9.6174", "9.6588", "9.6997", "9.7401", "9.7801", "9.8197", "9.8588", "10.049", "10.229", "10.402", "10.567", "10.725", "10.877", "11.164", "11.431" ); "specific volume" = ( "cm3/g@L3/M", "1.00014", "1.00002", "1.00028", "1.00088", "1.00178", "1.00295", "1.00436", "1.00599", "1.00783", "1.00987", "1.01210", "1.01450", "1.01708", "1.01982", "1.02273", "1.02579", "1.02901", "1.03239", "1.03592", "1.03961", "1.04345", "1.04744", "1336.4", "1355.3", "1374.2", "1393.0", "1411.7", "1430.3", "1448.9", "1467.4", "1485.9", "1504.3", "1522.7", "1541.0", "1559.3", "1577.6", "1595.8", "1614.0", "1632.2", "1650.3", "1668.5", "1704.7", "1740.8", "1776.9", "1813.0", "1849.0", "1884.9", "1920.8", "1956.7", "1992.6", "2028.4", "2064.2", "2100.0", "2135.8", "2171.5", "2207.3", "2243.0", "2278.7", "2314.4", "2350.1", "2385.8", "2421.4", "2457.1", "2492.7", "2528.4", "2564.0", "2599.6", "2635.3", "2670.9", "2706.5", "2742.1", "2813.3", "2884.5", "2955.6", "3026.8", "3097.9", "3169.1", "3240.2", "3311.3", "3382.4", "3453.5", "3524.6", "3595.7", "3666.8", "3737.9", "3808.9", "3880.0", "3951.1", "4022.1", "4093.2", "4164.2", "4235.3", "4306.4", "4377.4", "4448.4", "4519.5", "4874.7", "5229.8", "5585.0", "5940.1", "6295.2", "6650.2", "7360.4", "8070.5" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.86", "999.99", "999.72", "999.12", "998.22", "997.07", "995.67", "994.05", "992.23", "990.23", "988.05", "985.71", "983.21", "980.57", "977.78", "974.86", "971.81", "968.63", "965.33", "961.91", "958.37", "954.71", "0.80704", "0.79565", "0.78465", "0.77401", "0.76370", "0.75370", "0.74399", "0.73457", "0.72540", "0.71649", "0.70782", "0.69937", "0.69114", "0.68311", "0.67528", "0.66765", "0.66019", "0.65291", "0.64579", "0.63205", "0.61890", "0.60630", "0.59423", "0.58265", "0.57152", "0.56082", "0.55052", "0.54061", "0.53105", "0.52183", "0.51293", "0.50433", "0.49602", "0.48798", "0.48021", "0.47268", "0.46538", "0.45831", "0.45146", "0.44480", "0.43834", "0.43207", "0.42598", "0.42006", "0.41430", "0.40870", "0.40324", "0.39794", "0.39277", "0.38282", "0.37337", "0.36438", "0.35581", "0.34764", "0.33984", "0.33238", "0.32524", "0.31840", "0.31184", "0.30555", "0.29951", "0.29370", "0.28812", "0.28274", "0.27756", "0.27257", "0.26775", "0.26310", "0.25861", "0.25428", "0.25008", "0.24602", "0.24209", "0.23829", "0.22092", "0.20592", "0.19283", "0.18130", "0.17107", "0.16194", "0.14631", "0.13344" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.10", "21.16", "42.16", "63.11", "84.04", "104.96", "125.86", "146.75", "167.65", "188.55", "209.45", "230.36", "251.28", "272.21", "293.15", "314.11", "335.09", "356.08", "377.09", "398.13", "419.20", "440.29", "2691.5", "2702.0", "2712.4", "2722.8", "2733.0", "2743.3", "2753.4", "2763.6", "2773.6", "2783.7", "2793.8", "2803.8", "2813.8", "2823.8", "2833.7", "2843.7", "2853.7", "2863.6", "2873.6", "2893.5", "2913.4", "2933.3", "2953.2", "2973.2", "2993.2", "3013.2", "3033.3", "3053.4", "3073.5", "3093.7", "3114.0", "3134.3", "3154.7", "3175.1", "3195.5", "3216.0", "3236.6", "3257.3", "3277.9", "3298.7", "3319.5", "3340.4", "3361.3", "3382.3", "3403.4", "3424.5", "3445.7", "3467.0", "3488.3", "3531.2", "3574.3", "3617.7", "3661.3", "3705.3", "3749.5", "3794.0", "3838.7", "3883.8", "3929.1", "3974.8", "4020.6", "4066.8", "4113.3", "4160.0", "4207.0", "4254.3", "4301.9", "4349.7", "4397.9", "4446.2", "4494.9", "4543.8", "4593.0", "4642.4", "4893.4", "5150.5", "5413.2", "5681.1", "5953.8", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00015", "0.07625", "0.15107", "0.22444", "0.29645", "0.36719", "0.43671", "0.50508", "0.57235", "0.63856", "0.70375", "0.76796", "0.83123", "0.89359", "0.95507", "1.0157", "1.0755", "1.1345", "1.1928", "1.2504", "1.3072", "1.3633", "7.2500", "7.2773", "7.3039", "7.3301", "7.3557", "7.3809", "7.4057", "7.4300", "7.4540", "7.4777", "7.5010", "7.5240", "7.5467", "7.5691", "7.5912", "7.6131", "7.6347", "7.6561", "7.6773", "7.7189", "7.7597", "7.7996", "7.8389", "7.8774", "7.9153", "7.9525", "7.9891", "8.0251", "8.0606", "8.0955", "8.1300", "8.1639", "8.1974", "8.2304", "8.2630", "8.2951", "8.3269", "8.3582", "8.3892", "8.4198", "8.4500", "8.4799", "8.5095", "8.5388", "8.5677", "8.5963", "8.6246", "8.6527", "8.6804", "8.7352", "8.7889", "8.8416", "8.8934", "8.9443", "8.9943", "9.0436", "9.0921", "9.1399", "9.1869", "9.2333", "9.2791", "9.3242", "9.3688", "9.4127", "9.4561", "9.4990", "9.5414", "9.5832", "9.6246", "9.6655", "9.7059", "9.7459", "9.7855", "9.8246", "10.014", "10.195", "10.368", "10.533", "10.691", "10.843", "11.130", "11.397" ); "specific volume" = ( "cm3/g@L3/M", "1.00014", "1.00001", "1.00028", "1.00088", "1.00178", "1.00294", "1.00435", "1.00599", "1.00783", "1.00987", "1.01209", "1.01450", "1.01707", "1.01982", "1.02272", "1.02579", "1.02901", "1.03239", "1.03592", "1.03960", "1.04344", "1.04743", "1239.1", "1256.8", "1274.5", "1292.0", "1309.4", "1326.8", "1344.1", "1361.3", "1378.5", "1395.7", "1412.8", "1429.9", "1446.9", "1463.9", "1480.9", "1497.8", "1514.7", "1531.6", "1548.5", "1582.2", "1615.8", "1649.3", "1682.8", "1716.3", "1749.7", "1783.1", "1816.4", "1849.8", "1883.1", "1916.3", "1949.6", "1982.8", "2016.0", "2049.2", "2082.4", "2115.6", "2148.8", "2181.9", "2215.1", "2248.2", "2281.3", "2314.4", "2347.5", "2380.6", "2413.7", "2446.8", "2479.9", "2513.0", "2546.0", "2612.2", "2678.3", "2744.4", "2810.5", "2876.5", "2942.6", "3008.6", "3074.7", "3140.7", "3206.7", "3272.8", "3338.8", "3404.8", "3470.8", "3536.8", "3602.8", "3668.8", "3734.8", "3800.8", "3866.8", "3932.7", "3998.7", "4064.7", "4130.7", "4196.6", "4526.5", "4856.3", "5186.0", "5515.8", "5845.5", "6175.2", "6834.7", "7494.0" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.87", "999.99", "999.73", "999.13", "998.23", "997.07", "995.67", "994.05", "992.24", "990.23", "988.06", "985.71", "983.22", "980.57", "977.79", "974.86", "971.81", "968.63", "965.33", "961.91", "958.37", "954.72", "950.95", "0.85365", "0.84177", "0.83028", "0.81916", "0.80838", "0.79792", "0.78777", "0.77790", "0.76831", "0.75897", "0.74988", "0.74103", "0.73240", "0.72398", "0.71577", "0.70776", "0.69993", "0.69229", "0.67752", "0.66340", "0.64988", "0.63692", "0.62448", "0.61254", "0.60106", "0.59001", "0.57937", "0.56912", "0.55923", "0.54968", "0.54046", "0.53155", "0.52293", "0.51459", "0.50652", "0.49870", "0.49112", "0.48376", "0.47663", "0.46971", "0.46299", "0.45645", "0.45010", "0.44393", "0.43793", "0.43208", "0.42639", "0.42085", "0.41020", "0.40007", "0.39043", "0.38125", "0.37249", "0.36413", "0.35613", "0.34848", "0.34115", "0.33413", "0.32739", "0.32091", "0.31469", "0.30870", "0.30294", "0.29739", "0.29204", "0.28688", "0.28190", "0.27709", "0.27244", "0.26795", "0.26360", "0.25939", "0.25531", "0.23670", "0.22063", "0.20660", "0.19425", "0.18329", "0.17350", "0.15676", "0.14297" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.11", "21.17", "42.17", "63.12", "84.05", "104.97", "125.87", "146.76", "167.66", "188.56", "209.46", "230.37", "251.29", "272.22", "293.16", "314.12", "335.09", "356.09", "377.10", "398.14", "419.20", "440.30", "461.42", "2700.8", "2711.4", "2721.8", "2732.1", "2742.4", "2752.6", "2762.8", "2772.9", "2783.0", "2793.1", "2803.1", "2813.2", "2823.2", "2833.2", "2843.2", "2853.2", "2863.1", "2873.1", "2893.0", "2913.0", "2932.9", "2952.9", "2972.9", "2992.9", "3012.9", "3033.0", "3053.1", "3073.3", "3093.5", "3113.8", "3134.1", "3154.5", "3174.9", "3195.3", "3215.9", "3236.4", "3257.1", "3277.8", "3298.5", "3319.4", "3340.3", "3361.2", "3382.2", "3403.3", "3424.4", "3445.6", "3466.9", "3488.2", "3531.1", "3574.2", "3617.6", "3661.2", "3705.2", "3749.4", "3793.9", "3838.7", "3883.7", "3929.1", "3974.7", "4020.6", "4066.8", "4113.2", "4160.0", "4207.0", "4254.3", "4301.9", "4349.7", "4397.8", "4446.2", "4494.9", "4543.8", "4593.0", "4642.4", "4893.4", "5150.5", "5413.2", "5681.1", "5953.8", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15107", "0.22444", "0.29645", "0.36719", "0.43671", "0.50508", "0.57235", "0.63855", "0.70374", "0.76796", "0.83122", "0.89358", "0.95506", "1.0157", "1.0755", "1.1345", "1.1928", "1.2503", "1.3072", "1.3633", "1.4188", "7.2430", "7.2699", "7.2962", "7.3220", "7.3473", "7.3722", "7.3967", "7.4208", "7.4445", "7.4679", "7.4910", "7.5138", "7.5363", "7.5585", "7.5804", "7.6021", "7.6235", "7.6447", "7.6864", "7.7272", "7.7672", "7.8065", "7.8451", "7.8830", "7.9202", "7.9569", "7.9929", "8.0284", "8.0634", "8.0978", "8.1318", "8.1653", "8.1983", "8.2309", "8.2631", "8.2948", "8.3262", "8.3572", "8.3878", "8.4180", "8.4480", "8.4775", "8.5068", "8.5357", "8.5644", "8.5927", "8.6207", "8.6485", "8.7032", "8.7569", "8.8096", "8.8614", "8.9124", "8.9624", "9.0117", "9.0602", "9.1080", "9.1550", "9.2014", "9.2472", "9.2923", "9.3369", "9.3808", "9.4243", "9.4671", "9.5095", "9.5513", "9.5927", "9.6336", "9.6740", "9.7140", "9.7536", "9.7927", "9.9825", "10.163", "10.336", "10.501", "10.659", "10.811", "11.098", "11.365" ); "specific volume" = ( "cm3/g@L3/M", "1.00013", "1.00001", "1.00027", "1.00088", "1.00177", "1.00294", "1.00435", "1.00598", "1.00782", "1.00986", "1.01209", "1.01449", "1.01707", "1.01981", "1.02272", "1.02578", "1.02901", "1.03238", "1.03591", "1.03960", "1.04344", "1.04743", "1.05158", "1171.4", "1188.0", "1204.4", "1220.8", "1237.0", "1253.3", "1269.4", "1285.5", "1301.6", "1317.6", "1333.5", "1349.5", "1365.4", "1381.3", "1397.1", "1412.9", "1428.7", "1444.5", "1476.0", "1507.4", "1538.8", "1570.1", "1601.3", "1632.5", "1663.7", "1694.9", "1726.0", "1757.1", "1788.2", "1819.2", "1850.3", "1881.3", "1912.3", "1943.3", "1974.3", "2005.2", "2036.2", "2067.1", "2098.1", "2129.0", "2159.9", "2190.8", "2221.7", "2252.6", "2283.5", "2314.4", "2345.3", "2376.1", "2437.9", "2499.6", "2561.3", "2623.0", "2684.6", "2746.3", "2808.0", "2869.6", "2931.2", "2992.9", "3054.5", "3116.1", "3177.7", "3239.4", "3301.0", "3362.6", "3424.2", "3485.8", "3547.3", "3608.9", "3670.5", "3732.1", "3793.7", "3855.3", "3916.8", "4224.7", "4532.5", "4840.3", "5148.1", "5455.8", "5763.6", "6379.0", "6994.5" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.87", "1000.00", "999.73", "999.13", "998.23", "997.07", "995.68", "994.06", "992.24", "990.24", "988.06", "985.72", "983.22", "980.58", "977.79", "974.87", "971.82", "968.64", "965.34", "961.92", "958.38", "954.72", "950.96", "0.91183", "0.89904", "0.88670", "0.87475", "0.86318", "0.85196", "0.84107", "0.83049", "0.82021", "0.81021", "0.80047", "0.79099", "0.78175", "0.77274", "0.76395", "0.75538", "0.74701", "0.73883", "0.72304", "0.70794", "0.69349", "0.67964", "0.66635", "0.65359", "0.64132", "0.62952", "0.61816", "0.60721", "0.59664", "0.58645", "0.57661", "0.56709", "0.55789", "0.54899", "0.54037", "0.53202", "0.52393", "0.51608", "0.50847", "0.50108", "0.49391", "0.48693", "0.48016", "0.47357", "0.46716", "0.46093", "0.45486", "0.44894", "0.43757", "0.42677", "0.41648", "0.40669", "0.39734", "0.38842", "0.37989", "0.37172", "0.36391", "0.35641", "0.34922", "0.34231", "0.33568", "0.32929", "0.32314", "0.31722", "0.31152", "0.30601", "0.30070", "0.29557", "0.29061", "0.28581", "0.28117", "0.27668", "0.27233", "0.25248", "0.23534", "0.22037", "0.20720", "0.19551", "0.18507", "0.16721", "0.15250" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.12", "21.18", "42.18", "63.13", "84.06", "104.97", "125.88", "146.77", "167.67", "188.57", "209.47", "230.38", "251.30", "272.23", "293.17", "314.13", "335.10", "356.09", "377.11", "398.15", "419.21", "440.30", "461.43", "2699.7", "2710.3", "2720.7", "2731.1", "2741.5", "2751.7", "2762.0", "2772.1", "2782.3", "2792.4", "2802.5", "2812.5", "2822.6", "2832.6", "2842.6", "2852.6", "2862.6", "2872.6", "2892.6", "2912.6", "2932.5", "2952.5", "2972.5", "2992.6", "3012.6", "3032.7", "3052.9", "3073.1", "3093.3", "3113.6", "3133.9", "3154.2", "3174.7", "3195.2", "3215.7", "3236.3", "3256.9", "3277.6", "3298.4", "3319.2", "3340.1", "3361.1", "3382.1", "3403.2", "3424.3", "3445.5", "3466.8", "3488.1", "3531.0", "3574.1", "3617.5", "3661.2", "3705.1", "3749.3", "3793.8", "3838.6", "3883.7", "3929.0", "3974.6", "4020.5", "4066.7", "4113.2", "4159.9", "4207.0", "4254.3", "4301.8", "4349.7", "4397.8", "4446.2", "4494.8", "4543.8", "4592.9", "4642.4", "4893.4", "5150.5", "5413.2", "5681.1", "5953.8", "6231.0", "6797.1", "7377.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15107", "0.22444", "0.29645", "0.36718", "0.43671", "0.50508", "0.57234", "0.63855", "0.70374", "0.76795", "0.83122", "0.89358", "0.95506", "1.0157", "1.0755", "1.1345", "1.1928", "1.2503", "1.3072", "1.3633", "1.4188", "7.2108", "7.2379", "7.2644", "7.2904", "7.3158", "7.3408", "7.3654", "7.3896", "7.4135", "7.4369", "7.4601", "7.4829", "7.5055", "7.5277", "7.5497", "7.5714", "7.5929", "7.6141", "7.6559", "7.6968", "7.7369", "7.7762", "7.8148", "7.8528", "7.8901", "7.9267", "7.9628", "7.9983", "8.0333", "8.0678", "8.1018", "8.1353", "8.1683", "8.2009", "8.2331", "8.2649", "8.2962", "8.3272", "8.3578", "8.3881", "8.4180", "8.4476", "8.4769", "8.5058", "8.5344", "8.5628", "8.5908", "8.6186", "8.6734", "8.7271", "8.7798", "8.8316", "8.8825", "8.9326", "8.9819", "9.0304", "9.0781", "9.1252", "9.1716", "9.2174", "9.2625", "9.3071", "9.3510", "9.3944", "9.4373", "9.4797", "9.5215", "9.5629", "9.6038", "9.6442", "9.6842", "9.7238", "9.7629", "9.9527", "10.133", "10.306", "10.471", "10.629", "10.781", "11.068", "11.335" ); "specific volume" = ( "cm3/g@L3/M", "1.00013", "1.00000", "1.00027", "1.00087", "1.00177", "1.00293", "1.00434", "1.00598", "1.00782", "1.00986", "1.01208", "1.01449", "1.01706", "1.01981", "1.02271", "1.02578", "1.02900", "1.03238", "1.03591", "1.03959", "1.04343", "1.04742", "1.05157", "1096.7", "1112.3", "1127.8", "1143.2", "1158.5", "1173.8", "1189.0", "1204.1", "1219.2", "1234.3", "1249.3", "1264.2", "1279.2", "1294.1", "1309.0", "1323.8", "1338.7", "1353.5", "1383.1", "1412.6", "1442.0", "1471.4", "1500.7", "1530.0", "1559.3", "1588.5", "1617.7", "1646.9", "1676.0", "1705.2", "1734.3", "1763.4", "1792.5", "1821.5", "1850.6", "1879.6", "1908.7", "1937.7", "1966.7", "1995.7", "2024.7", "2053.7", "2082.6", "2111.6", "2140.6", "2169.5", "2198.5", "2227.4", "2285.3", "2343.2", "2401.1", "2458.9", "2516.7", "2574.5", "2632.4", "2690.2", "2748.0", "2805.7", "2863.5", "2921.3", "2979.1", "3036.8", "3094.6", "3152.3", "3210.1", "3267.9", "3325.6", "3383.3", "3441.1", "3498.8", "3556.6", "3614.3", "3672.0", "3960.6", "4249.2", "4537.8", "4826.3", "5114.9", "5403.4", "5980.4", "6557.3" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.88", "1000.01", "999.74", "999.14", "998.24", "997.08", "995.68", "994.07", "992.25", "990.25", "988.07", "985.73", "983.23", "980.59", "977.80", "974.88", "971.83", "968.65", "965.35", "961.92", "958.39", "954.73", "950.97", "947.09", "1.0141", "0.99996", "0.98633", "0.97315", "0.96037", "0.94799", "0.93596", "0.92428", "0.91293", "0.90188", "0.89113", "0.88066", "0.87045", "0.86050", "0.85079", "0.84132", "0.83207", "0.81421", "0.79714", "0.78081", "0.76517", "0.75017", "0.73576", "0.72192", "0.70861", "0.69579", "0.68344", "0.67153", "0.66004", "0.64894", "0.63822", "0.62785", "0.61782", "0.60811", "0.59870", "0.58958", "0.58074", "0.57217", "0.56385", "0.55577", "0.54792", "0.54029", "0.53287", "0.52565", "0.51863", "0.51179", "0.50514", "0.49234", "0.48017", "0.46860", "0.45757", "0.44705", "0.43701", "0.42741", "0.41822", "0.40942", "0.40099", "0.39289", "0.38512", "0.37765", "0.37047", "0.36355", "0.35689", "0.35047", "0.34427", "0.33829", "0.33252", "0.32694", "0.32154", "0.31632", "0.31127", "0.30638", "0.28405", "0.26475", "0.24792", "0.23310", "0.21995", "0.20820", "0.18811", "0.17156" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.14", "21.20", "42.20", "63.15", "84.08", "104.99", "125.89", "146.79", "167.69", "188.58", "209.49", "230.40", "251.31", "272.24", "293.19", "314.14", "335.12", "356.11", "377.12", "398.16", "419.23", "440.32", "461.44", "482.60", "2708.0", "2718.7", "2729.2", "2739.7", "2750.0", "2760.4", "2770.6", "2780.9", "2791.0", "2801.2", "2811.3", "2821.4", "2831.5", "2841.6", "2851.6", "2861.7", "2871.7", "2891.7", "2911.8", "2931.8", "2951.8", "2971.9", "2991.9", "3012.1", "3032.2", "3052.4", "3072.6", "3092.8", "3113.1", "3133.5", "3153.8", "3174.3", "3194.8", "3215.3", "3235.9", "3256.6", "3277.3", "3298.1", "3318.9", "3339.8", "3360.8", "3381.8", "3402.9", "3424.1", "3445.3", "3466.5", "3487.9", "3530.8", "3573.9", "3617.3", "3661.0", "3705.0", "3749.2", "3793.7", "3838.5", "3883.6", "3928.9", "3974.5", "4020.4", "4066.6", "4113.1", "4159.8", "4206.9", "4254.2", "4301.7", "4349.6", "4397.7", "4446.1", "4494.8", "4543.7", "4592.9", "4642.3", "4893.3", "5150.4", "5413.1", "5681.1", "5953.8", "6231.0", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15107", "0.22444", "0.29645", "0.36718", "0.43670", "0.50507", "0.57233", "0.63854", "0.70373", "0.76794", "0.83121", "0.89356", "0.95504", "1.0157", "1.0755", "1.1345", "1.1928", "1.2503", "1.3071", "1.3633", "1.4188", "1.4737", "7.1790", "7.2059", "7.2322", "7.2580", "7.2832", "7.3081", "7.3325", "7.3565", "7.3801", "7.4034", "7.4264", "7.4491", "7.4714", "7.4935", "7.5154", "7.5369", "7.5582", "7.6002", "7.6412", "7.6814", "7.7208", "7.7595", "7.7975", "7.8349", "7.8716", "7.9078", "7.9433", "7.9784", "8.0129", "8.0469", "8.0804", "8.1135", "8.1461", "8.1783", "8.2101", "8.2415", "8.2725", "8.3032", "8.3334", "8.3634", "8.3930", "8.4222", "8.4512", "8.4799", "8.5082", "8.5363", "8.5641", "8.6188", "8.6725", "8.7253", "8.7771", "8.8280", "8.8781", "8.9274", "8.9759", "9.0237", "9.0708", "9.1172", "9.1629", "9.2081", "9.2526", "9.2966", "9.3400", "9.3829", "9.4253", "9.4671", "9.5085", "9.5494", "9.5898", "9.6298", "9.6694", "9.7085", "9.8983", "10.079", "10.252", "10.417", "10.575", "10.727", "11.014", "11.281" ); "specific volume" = ( "cm3/g@L3/M", "1.00012", "0.99999", "1.00026", "1.00086", "1.00176", "1.00293", "1.00433", "1.00597", "1.00781", "1.00985", "1.01207", "1.01448", "1.01706", "1.01980", "1.02270", "1.02577", "1.02899", "1.03237", "1.03590", "1.03958", "1.04342", "1.04741", "1.05156", "1.05587", "986.12", "1000.0", "1013.9", "1027.6", "1041.3", "1054.9", "1068.4", "1081.9", "1095.4", "1108.8", "1122.2", "1135.5", "1148.8", "1162.1", "1175.4", "1188.6", "1201.8", "1228.2", "1254.5", "1280.7", "1306.9", "1333.0", "1359.1", "1385.2", "1411.2", "1437.2", "1463.2", "1489.1", "1515.1", "1541.0", "1566.9", "1592.7", "1618.6", "1644.5", "1670.3", "1696.1", "1721.9", "1747.7", "1773.5", "1799.3", "1825.1", "1850.9", "1876.6", "1902.4", "1928.2", "1953.9", "1979.7", "2031.1", "2082.6", "2134.0", "2185.5", "2236.9", "2288.3", "2339.7", "2391.1", "2442.5", "2493.8", "2545.2", "2596.6", "2647.9", "2699.3", "2750.6", "2802.0", "2853.3", "2904.7", "2956.0", "3007.3", "3058.7", "3110.0", "3161.3", "3212.7", "3264.0", "3520.5", "3777.1", "4033.6", "4290.1", "4546.6", "4803.0", "5315.9", "5828.8" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.89", "1000.02", "999.75", "999.15", "998.25", "997.09", "995.69", "994.08", "992.26", "990.26", "988.08", "985.74", "983.24", "980.59", "977.81", "974.89", "971.83", "968.66", "965.35", "961.93", "958.40", "954.74", "950.98", "947.10", "943.11", "1.1138", "1.0985", "1.0836", "1.0692", "1.0553", "1.0418", "1.0287", "1.0160", "1.0036", "0.99157", "0.97984", "0.96842", "0.95729", "0.94644", "0.93585", "0.92551", "0.90556", "0.88650", "0.86828", "0.85083", "0.83410", "0.81805", "0.80262", "0.78778", "0.77350", "0.75975", "0.74648", "0.73369", "0.72133", "0.70939", "0.69785", "0.68669", "0.67588", "0.66542", "0.65527", "0.64544", "0.63590", "0.62664", "0.61765", "0.60892", "0.60044", "0.59218", "0.58416", "0.57635", "0.56875", "0.56135", "0.54712", "0.53359", "0.52072", "0.50846", "0.49677", "0.48560", "0.47493", "0.46472", "0.45494", "0.44557", "0.43657", "0.42793", "0.41963", "0.41165", "0.40396", "0.39656", "0.38942", "0.38254", "0.37589", "0.36947", "0.36327", "0.35728", "0.35148", "0.34586", "0.34042", "0.31561", "0.29417", "0.27546", "0.25899", "0.24438", "0.23133", "0.20901", "0.19062" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.16", "21.22", "42.22", "63.17", "84.10", "105.01", "125.91", "146.81", "167.70", "188.60", "209.50", "230.41", "251.33", "272.26", "293.20", "314.16", "335.13", "356.13", "377.14", "398.18", "419.24", "440.33", "461.46", "482.62", "503.81", "2716.6", "2727.3", "2737.8", "2748.3", "2758.7", "2769.1", "2779.4", "2789.7", "2799.9", "2810.1", "2820.2", "2830.4", "2840.5", "2850.6", "2860.7", "2870.7", "2890.8", "2910.9", "2931.0", "2951.1", "2971.2", "2991.3", "3011.5", "3031.6", "3051.8", "3072.1", "3092.3", "3112.7", "3133.0", "3153.4", "3173.9", "3194.4", "3215.0", "3235.6", "3256.3", "3277.0", "3297.8", "3318.7", "3339.6", "3360.5", "3381.6", "3402.7", "3423.8", "3445.0", "3466.3", "3487.7", "3530.6", "3573.7", "3617.1", "3660.8", "3704.8", "3749.0", "3793.6", "3838.4", "3883.4", "3928.8", "3974.4", "4020.3", "4066.5", "4113.0", "4159.8", "4206.8", "4254.1", "4301.7", "4349.5", "4397.6", "4446.0", "4494.7", "4543.6", "4592.8", "4642.3", "4893.3", "5150.4", "5413.1", "5681.0", "5953.8", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15107", "0.22443", "0.29644", "0.36717", "0.43670", "0.50506", "0.57233", "0.63853", "0.70372", "0.76793", "0.83120", "0.89355", "0.95503", "1.0157", "1.0755", "1.1345", "1.1928", "1.2503", "1.3071", "1.3633", "1.4188", "1.4736", "1.5279", "7.1531", "7.1797", "7.2058", "7.2313", "7.2564", "7.2810", "7.3052", "7.3290", "7.3525", "7.3756", "7.3984", "7.4209", "7.4431", "7.4650", "7.4867", "7.5081", "7.5501", "7.5913", "7.6316", "7.6712", "7.7100", "7.7480", "7.7855", "7.8223", "7.8584", "7.8941", "7.9291", "7.9637", "7.9977", "8.0313", "8.0644", "8.0971", "8.1293", "8.1611", "8.1925", "8.2236", "8.2542", "8.2845", "8.3145", "8.3441", "8.3734", "8.4023", "8.4310", "8.4594", "8.4874", "8.5152", "8.5700", "8.6237", "8.6765", "8.7283", "8.7792", "8.8293", "8.8786", "8.9272", "8.9750", "9.0220", "9.0685", "9.1142", "9.1594", "9.2039", "9.2479", "9.2913", "9.3342", "9.3766", "9.4184", "9.4598", "9.5007", "9.5412", "9.5812", "9.6207", "9.6599", "9.8497", "10.030", "10.203", "10.368", "10.526", "10.678", "10.965", "11.232" ); "specific volume" = ( "cm3/g@L3/M", "1.00011", "0.99998", "1.00025", "1.00085", "1.00175", "1.00292", "1.00433", "1.00596", "1.00780", "1.00984", "1.01207", "1.01447", "1.01705", "1.01979", "1.02270", "1.02576", "1.02898", "1.03236", "1.03589", "1.03957", "1.04341", "1.04740", "1.05155", "1.05586", "1.06032", "897.81", "910.37", "922.84", "935.24", "947.58", "959.86", "972.08", "984.26", "996.40", "1008.5", "1020.6", "1032.6", "1044.6", "1056.6", "1068.5", "1080.5", "1104.3", "1128.0", "1151.7", "1175.3", "1198.9", "1222.4", "1245.9", "1269.4", "1292.8", "1316.2", "1339.6", "1363.0", "1386.3", "1409.7", "1433.0", "1456.3", "1479.5", "1502.8", "1526.1", "1549.3", "1572.6", "1595.8", "1619.0", "1642.2", "1665.5", "1688.7", "1711.9", "1735.1", "1758.2", "1781.4", "1827.8", "1874.1", "1920.4", "1966.7", "2013.0", "2059.3", "2105.6", "2151.8", "2198.1", "2244.3", "2290.6", "2336.8", "2383.0", "2429.3", "2475.5", "2521.7", "2567.9", "2614.1", "2660.3", "2706.6", "2752.8", "2799.0", "2845.1", "2891.3", "2937.5", "3168.5", "3399.4", "3630.2", "3861.1", "4091.9", "4322.8", "4784.4", "5246.0" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.90", "1000.02", "999.76", "999.16", "998.26", "997.10", "995.70", "994.09", "992.27", "990.26", "988.09", "985.74", "983.25", "980.60", "977.82", "974.90", "971.84", "968.67", "965.36", "961.94", "958.40", "954.75", "950.99", "947.11", "943.12", "1.2283", "1.2111", "1.1946", "1.1786", "1.1631", "1.1481", "1.1335", "1.1194", "1.1057", "1.0923", "1.0793", "1.0667", "1.0543", "1.0423", "1.0306", "1.0192", "0.99709", "0.97603", "0.95590", "0.93663", "0.91816", "0.90044", "0.88341", "0.86705", "0.85130", "0.83613", "0.82150", "0.80740", "0.79378", "0.78063", "0.76791", "0.75561", "0.74370", "0.73217", "0.72100", "0.71017", "0.69966", "0.68947", "0.67957", "0.66995", "0.66061", "0.65153", "0.64269", "0.63409", "0.62573", "0.61758", "0.60191", "0.58702", "0.57286", "0.55936", "0.54650", "0.53421", "0.52246", "0.51123", "0.50047", "0.49015", "0.48025", "0.47075", "0.46161", "0.45283", "0.44437", "0.43623", "0.42837", "0.42080", "0.41349", "0.40643", "0.39961", "0.39301", "0.38663", "0.38045", "0.37447", "0.34717", "0.32359", "0.30301", "0.28489", "0.26882", "0.25447", "0.22991", "0.20968" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.18", "21.24", "42.23", "63.19", "84.12", "105.03", "125.93", "146.83", "167.72", "188.62", "209.52", "230.43", "251.35", "272.28", "293.22", "314.18", "335.15", "356.14", "377.16", "398.19", "419.26", "440.35", "461.47", "482.63", "503.83", "2714.4", "2725.3", "2736.0", "2746.6", "2757.1", "2767.6", "2777.9", "2788.3", "2798.6", "2808.8", "2819.0", "2829.2", "2839.4", "2849.5", "2859.7", "2869.8", "2890.0", "2910.1", "2930.3", "2950.4", "2970.5", "2990.7", "3010.9", "3031.1", "3051.3", "3071.6", "3091.9", "3112.2", "3132.6", "3153.0", "3173.5", "3194.0", "3214.6", "3235.3", "3256.0", "3276.7", "3297.5", "3318.4", "3339.3", "3360.3", "3381.3", "3402.4", "3423.6", "3444.8", "3466.1", "3487.5", "3530.4", "3573.5", "3617.0", "3660.7", "3704.6", "3748.9", "3793.4", "3838.2", "3883.3", "3928.7", "3974.3", "4020.2", "4066.4", "4112.9", "4159.7", "4206.7", "4254.0", "4301.6", "4349.4", "4397.6", "4446.0", "4494.6", "4543.6", "4592.8", "4642.2", "4893.3", "5150.3", "5413.1", "5681.0", "5953.7", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15107", "0.22443", "0.29644", "0.36717", "0.43669", "0.50506", "0.57232", "0.63852", "0.70371", "0.76792", "0.83119", "0.89354", "0.95502", "1.0157", "1.0755", "1.1345", "1.1928", "1.2503", "1.3071", "1.3633", "1.4188", "1.4736", "1.5279", "7.1047", "7.1318", "7.1582", "7.1840", "7.2093", "7.2341", "7.2585", "7.2825", "7.3062", "7.3294", "7.3524", "7.3750", "7.3973", "7.4193", "7.4411", "7.4625", "7.5048", "7.5461", "7.5865", "7.6261", "7.6650", "7.7032", "7.7407", "7.7775", "7.8138", "7.8494", "7.8845", "7.9191", "7.9532", "7.9868", "8.0200", "8.0526", "8.0849", "8.1167", "8.1482", "8.1792", "8.2099", "8.2402", "8.2702", "8.2998", "8.3291", "8.3581", "8.3868", "8.4151", "8.4432", "8.4710", "8.5258", "8.5796", "8.6323", "8.6842", "8.7351", "8.7852", "8.8345", "8.8831", "8.9309", "8.9780", "9.0244", "9.0702", "9.1153", "9.1599", "9.2039", "9.2473", "9.2902", "9.3325", "9.3744", "9.4158", "9.4567", "9.4971", "9.5371", "9.5767", "9.6159", "9.8056", "9.9863", "10.159", "10.324", "10.482", "10.634", "10.921", "11.188" ); "specific volume" = ( "cm3/g@L3/M", "1.00010", "0.99998", "1.00024", "1.00084", "1.00174", "1.00291", "1.00432", "1.00595", "1.00779", "1.00983", "1.01206", "1.01446", "1.01704", "1.01978", "1.02269", "1.02575", "1.02897", "1.03235", "1.03588", "1.03956", "1.04340", "1.04739", "1.05154", "1.05585", "1.06031", "814.14", "825.67", "837.12", "848.48", "859.78", "871.02", "882.20", "893.34", "904.44", "915.50", "926.52", "937.51", "948.47", "959.41", "970.32", "981.20", "1002.9", "1024.6", "1046.1", "1067.7", "1089.1", "1110.6", "1132.0", "1153.3", "1174.7", "1196.0", "1217.3", "1238.5", "1259.8", "1281.0", "1302.2", "1323.4", "1344.6", "1365.8", "1387.0", "1408.1", "1429.3", "1450.4", "1471.5", "1492.6", "1513.8", "1534.9", "1556.0", "1577.1", "1598.1", "1619.2", "1661.4", "1703.5", "1745.6", "1787.7", "1829.8", "1871.9", "1914.0", "1956.1", "1998.1", "2040.2", "2082.2", "2124.3", "2166.3", "2208.3", "2250.4", "2292.4", "2334.4", "2376.4", "2418.4", "2460.4", "2502.5", "2544.5", "2586.5", "2628.5", "2670.5", "2880.4", "3090.3", "3300.2", "3510.1", "3720.0", "3929.8", "4349.5", "4769.1" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.91", "1000.03", "999.77", "999.17", "998.27", "997.11", "995.71", "994.09", "992.28", "990.27", "988.10", "985.75", "983.26", "980.61", "977.83", "974.90", "971.85", "968.67", "965.37", "961.95", "958.41", "954.76", "950.99", "947.12", "943.13", "939.03", "1.3244", "1.3061", "1.2884", "1.2713", "1.2547", "1.2387", "1.2231", "1.2080", "1.1933", "1.1791", "1.1652", "1.1516", "1.1384", "1.1256", "1.1130", "1.0888", "1.0657", "1.0437", "1.0226", "1.0023", "0.98293", "0.96431", "0.94640", "0.92917", "0.91258", "0.89660", "0.88117", "0.86629", "0.85191", "0.83801", "0.82457", "0.81156", "0.79897", "0.78676", "0.77493", "0.76346", "0.75232", "0.74151", "0.73101", "0.72081", "0.71089", "0.70124", "0.69186", "0.68272", "0.67383", "0.65672", "0.64047", "0.62501", "0.61028", "0.59623", "0.58282", "0.57001", "0.55774", "0.54600", "0.53474", "0.52394", "0.51357", "0.50360", "0.49401", "0.48479", "0.47590", "0.46733", "0.45907", "0.45109", "0.44339", "0.43594", "0.42875", "0.42178", "0.41504", "0.40852", "0.37874", "0.35301", "0.33056", "0.31079", "0.29326", "0.27760", "0.25081", "0.22874" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.20", "21.26", "42.25", "63.21", "84.14", "105.05", "125.95", "146.84", "167.74", "188.64", "209.54", "230.45", "251.37", "272.29", "293.24", "314.19", "335.17", "356.16", "377.17", "398.21", "419.27", "440.36", "461.49", "482.64", "503.84", "525.08", "2723.2", "2734.1", "2744.8", "2755.4", "2766.0", "2776.5", "2786.9", "2797.2", "2807.6", "2817.8", "2828.1", "2838.3", "2848.5", "2858.7", "2868.8", "2889.1", "2909.3", "2929.5", "2949.7", "2969.9", "2990.1", "3010.3", "3030.5", "3050.8", "3071.1", "3091.4", "3111.8", "3132.2", "3152.6", "3173.1", "3193.7", "3214.3", "3234.9", "3255.6", "3276.4", "3297.2", "3318.1", "3339.0", "3360.0", "3381.1", "3402.2", "3423.3", "3444.6", "3465.9", "3487.2", "3530.2", "3573.3", "3616.8", "3660.5", "3704.5", "3748.7", "3793.3", "3838.1", "3883.2", "3928.5", "3974.2", "4020.1", "4066.3", "4112.8", "4159.6", "4206.6", "4253.9", "4301.5", "4349.4", "4397.5", "4445.9", "4494.6", "4543.5", "4592.7", "4642.2", "4893.2", "5150.3", "5413.0", "5681.0", "5953.7", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15106", "0.22443", "0.29643", "0.36716", "0.43668", "0.50505", "0.57231", "0.63852", "0.70370", "0.76791", "0.83118", "0.89353", "0.95501", "1.0156", "1.0755", "1.1345", "1.1927", "1.2503", "1.3071", "1.3633", "1.4187", "1.4736", "1.5279", "1.5816", "7.0876", "7.1143", "7.1405", "7.1660", "7.1911", "7.2157", "7.2399", "7.2636", "7.2871", "7.3101", "7.3329", "7.3553", "7.3774", "7.3993", "7.4208", "7.4632", "7.5046", "7.5452", "7.5849", "7.6239", "7.6621", "7.6997", "7.7366", "7.7729", "7.8086", "7.8438", "7.8784", "7.9125", "7.9462", "7.9793", "8.0121", "8.0443", "8.0762", "8.1077", "8.1387", "8.1694", "8.1998", "8.2297", "8.2594", "8.2887", "8.3177", "8.3464", "8.3748", "8.4029", "8.4307", "8.4855", "8.5392", "8.5920", "8.6439", "8.6948", "8.7449", "8.7943", "8.8428", "8.8906", "8.9377", "8.9841", "9.0299", "9.0751", "9.1196", "9.1636", "9.2071", "9.2499", "9.2923", "9.3342", "9.3756", "9.4165", "9.4569", "9.4969", "9.5365", "9.5757", "9.7655", "9.9462", "10.119", "10.284", "10.442", "10.594", "10.881", "11.148" ); "specific volume" = ( "cm3/g@L3/M", "1.00009", "0.99997", "1.00023", "1.00083", "1.00173", "1.00290", "1.00431", "1.00594", "1.00778", "1.00982", "1.01205", "1.01445", "1.01703", "1.01977", "1.02268", "1.02574", "1.02896", "1.03234", "1.03587", "1.03955", "1.04339", "1.04738", "1.05153", "1.05584", "1.06030", "1.06493", "755.07", "765.66", "776.16", "786.60", "796.97", "807.29", "817.57", "827.79", "837.98", "848.14", "858.26", "868.35", "878.41", "888.45", "898.47", "918.43", "938.33", "958.16", "977.94", "997.67", "1017.4", "1037.0", "1056.6", "1076.2", "1095.8", "1115.3", "1134.8", "1154.3", "1173.8", "1193.3", "1212.8", "1232.2", "1251.6", "1271.0", "1290.4", "1309.8", "1329.2", "1348.6", "1368.0", "1387.3", "1406.7", "1426.0", "1445.4", "1464.7", "1484.1", "1522.7", "1561.4", "1600.0", "1638.6", "1677.2", "1715.8", "1754.4", "1792.9", "1831.5", "1870.1", "1908.6", "1947.2", "1985.7", "2024.2", "2062.8", "2101.3", "2139.8", "2178.3", "2216.8", "2255.4", "2293.9", "2332.4", "2370.9", "2409.4", "2447.9", "2640.4", "2832.8", "3025.2", "3217.6", "3410.0", "3602.3", "3987.0", "4371.7" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.92", "1000.04", "999.78", "999.18", "998.28", "997.12", "995.72", "994.10", "992.29", "990.28", "988.10", "985.76", "983.27", "980.62", "977.83", "974.91", "971.86", "968.68", "965.38", "961.96", "958.42", "954.77", "951.00", "947.13", "943.14", "939.04", "1.4382", "1.4181", "1.3987", "1.3800", "1.3618", "1.3443", "1.3273", "1.3107", "1.2947", "1.2791", "1.2639", "1.2491", "1.2348", "1.2207", "1.2071", "1.1807", "1.1556", "1.1316", "1.1086", "1.0866", "1.0655", "1.0453", "1.0258", "1.0071", "0.98912", "0.97176", "0.95501", "0.93885", "0.92325", "0.90817", "0.89358", "0.87947", "0.86580", "0.85256", "0.83973", "0.82728", "0.81520", "0.80348", "0.79209", "0.78103", "0.77027", "0.75981", "0.74964", "0.73973", "0.73009", "0.71154", "0.69392", "0.67717", "0.66120", "0.64598", "0.63144", "0.61755", "0.60426", "0.59154", "0.57934", "0.56763", "0.55639", "0.54559", "0.53520", "0.52520", "0.51557", "0.50629", "0.49734", "0.48869", "0.48035", "0.47228", "0.46448", "0.45694", "0.44964", "0.44256", "0.41030", "0.38243", "0.35810", "0.33669", "0.31769", "0.30073", "0.27171", "0.24780" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.22", "21.28", "42.27", "63.23", "84.16", "105.07", "125.97", "146.86", "167.76", "188.65", "209.56", "230.46", "251.38", "272.31", "293.25", "314.21", "335.18", "356.17", "377.19", "398.22", "419.29", "440.38", "461.50", "482.66", "503.85", "525.09", "2721.2", "2732.2", "2743.0", "2753.8", "2764.4", "2775.0", "2785.5", "2795.9", "2806.3", "2816.6", "2826.9", "2837.2", "2847.4", "2857.6", "2867.8", "2888.2", "2908.5", "2928.7", "2949.0", "2969.2", "2989.4", "3009.7", "3030.0", "3050.3", "3070.6", "3090.9", "3111.3", "3131.8", "3152.2", "3172.7", "3193.3", "3213.9", "3234.6", "3255.3", "3276.1", "3296.9", "3317.8", "3338.7", "3359.7", "3380.8", "3401.9", "3423.1", "3444.4", "3465.7", "3487.0", "3530.0", "3573.2", "3616.6", "3660.3", "3704.3", "3748.6", "3793.1", "3838.0", "3883.1", "3928.4", "3974.1", "4020.0", "4066.2", "4112.7", "4159.5", "4206.5", "4253.8", "4301.4", "4349.3", "4397.4", "4445.8", "4494.5", "4543.4", "4592.6", "4642.1", "4893.2", "5150.3", "5413.0", "5681.0", "5953.7", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15106", "0.22442", "0.29643", "0.36716", "0.43668", "0.50504", "0.57230", "0.63851", "0.70369", "0.76790", "0.83117", "0.89352", "0.95500", "1.0156", "1.0754", "1.1345", "1.1927", "1.2503", "1.3071", "1.3632", "1.4187", "1.4736", "1.5279", "1.5815", "7.0465", "7.0736", "7.1001", "7.1259", "7.1512", "7.1760", "7.2004", "7.2243", "7.2479", "7.2711", "7.2940", "7.3165", "7.3387", "7.3607", "7.3823", "7.4249", "7.4664", "7.5071", "7.5469", "7.5860", "7.6243", "7.6619", "7.6989", "7.7353", "7.7710", "7.8063", "7.8409", "7.8751", "7.9087", "7.9419", "7.9747", "8.0070", "8.0389", "8.0704", "8.1014", "8.1322", "8.1625", "8.1925", "8.2222", "8.2515", "8.2805", "8.3092", "8.3376", "8.3657", "8.3935", "8.4483", "8.5021", "8.5549", "8.6068", "8.6578", "8.7079", "8.7572", "8.8057", "8.8536", "8.9007", "8.9471", "8.9929", "9.0381", "9.0826", "9.1266", "9.1700", "9.2129", "9.2553", "9.2972", "9.3386", "9.3795", "9.4199", "9.4599", "9.4995", "9.5387", "9.7285", "9.9092", "10.082", "10.247", "10.405", "10.557", "10.844", "11.111" ); "specific volume" = ( "cm3/g@L3/M", "1.00008", "0.99996", "1.00022", "1.00082", "1.00172", "1.00289", "1.00430", "1.00593", "1.00777", "1.00981", "1.01204", "1.01444", "1.01702", "1.01976", "1.02267", "1.02573", "1.02895", "1.03233", "1.03586", "1.03954", "1.04338", "1.04737", "1.05152", "1.05583", "1.06029", "1.06492", "695.30", "705.17", "714.95", "724.66", "734.31", "743.90", "753.44", "762.93", "772.39", "781.81", "791.19", "800.55", "809.87", "819.17", "828.45", "846.95", "865.37", "883.72", "902.03", "920.28", "938.49", "956.66", "974.81", "992.92", "1011.0", "1029.1", "1047.1", "1065.1", "1083.1", "1101.1", "1119.1", "1137.1", "1155.0", "1172.9", "1190.9", "1208.8", "1226.7", "1244.6", "1262.5", "1280.4", "1298.2", "1316.1", "1334.0", "1351.8", "1369.7", "1405.4", "1441.1", "1476.7", "1512.4", "1548.0", "1583.7", "1619.3", "1654.9", "1690.5", "1726.1", "1761.7", "1797.3", "1832.9", "1868.4", "1904.0", "1939.6", "1975.2", "2010.7", "2046.3", "2081.8", "2117.4", "2152.9", "2188.5", "2224.0", "2259.6", "2437.2", "2614.9", "2792.5", "2970.1", "3147.7", "3325.3", "3680.4", "4035.5" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.93", "1000.05", "999.79", "999.19", "998.29", "997.13", "995.73", "994.11", "992.29", "990.29", "988.11", "985.77", "983.27", "980.63", "977.84", "974.92", "971.87", "968.69", "965.39", "961.97", "958.43", "954.78", "951.01", "947.14", "943.15", "939.05", "934.84", "1.5307", "1.5095", "1.4891", "1.4693", "1.4502", "1.4317", "1.4138", "1.3963", "1.3794", "1.3630", "1.3469", "1.3313", "1.3161", "1.3013", "1.2728", "1.2456", "1.2196", "1.1948", "1.1710", "1.1483", "1.1264", "1.1054", "1.0852", "1.0657", "1.0470", "1.0289", "1.0115", "0.99464", "0.97837", "0.96264", "0.94741", "0.93267", "0.91840", "0.90456", "0.89114", "0.87812", "0.86548", "0.85320", "0.84127", "0.82968", "0.81840", "0.80744", "0.79676", "0.78637", "0.76638", "0.74740", "0.72934", "0.71214", "0.69573", "0.68007", "0.66511", "0.65079", "0.63708", "0.62394", "0.61133", "0.59922", "0.58759", "0.57640", "0.56563", "0.55525", "0.54525", "0.53561", "0.52630", "0.51731", "0.50862", "0.50022", "0.49210", "0.48423", "0.47661", "0.44186", "0.41184", "0.38565", "0.36259", "0.34213", "0.32386", "0.29261", "0.26686" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.24", "21.30", "42.29", "63.25", "84.18", "105.09", "125.99", "146.88", "167.77", "188.67", "209.57", "230.48", "251.40", "272.33", "293.27", "314.22", "335.20", "356.19", "377.20", "398.24", "419.30", "440.39", "461.51", "482.67", "503.87", "525.11", "546.39", "2730.2", "2741.2", "2752.1", "2762.8", "2773.5", "2784.0", "2794.5", "2805.0", "2815.4", "2825.8", "2836.1", "2846.4", "2856.6", "2866.9", "2887.3", "2907.6", "2928.0", "2948.3", "2968.5", "2988.8", "3009.1", "3029.4", "3049.7", "3070.1", "3090.5", "3110.9", "3131.3", "3151.8", "3172.4", "3192.9", "3213.6", "3234.3", "3255.0", "3275.8", "3296.6", "3317.5", "3338.5", "3359.5", "3380.5", "3401.7", "3422.9", "3444.1", "3465.4", "3486.8", "3529.8", "3573.0", "3616.4", "3660.2", "3704.2", "3748.5", "3793.0", "3837.8", "3882.9", "3928.3", "3974.0", "4019.9", "4066.1", "4112.6", "4159.4", "4206.4", "4253.8", "4301.3", "4349.2", "4397.4", "4445.8", "4494.4", "4543.4", "4592.6", "4642.0", "4893.1", "5150.2", "5413.0", "5680.9", "5953.7", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00014", "0.07625", "0.15106", "0.22442", "0.29643", "0.36715", "0.43667", "0.50503", "0.57230", "0.63850", "0.70368", "0.76789", "0.83115", "0.89351", "0.95498", "1.0156", "1.0754", "1.1344", "1.1927", "1.2502", "1.3071", "1.3632", "1.4187", "1.4736", "1.5278", "1.5815", "1.6346", "7.0356", "7.0624", "7.0885", "7.1140", "7.1390", "7.1636", "7.1877", "7.2114", "7.2348", "7.2578", "7.2804", "7.3028", "7.3248", "7.3465", "7.3893", "7.4310", "7.4717", "7.5117", "7.5508", "7.5892", "7.6269", "7.6640", "7.7004", "7.7362", "7.7714", "7.8062", "7.8404", "7.8741", "7.9073", "7.9400", "7.9724", "8.0043", "8.0358", "8.0669", "8.0976", "8.1280", "8.1580", "8.1877", "8.2170", "8.2460", "8.2748", "8.3032", "8.3313", "8.3591", "8.4140", "8.4677", "8.5206", "8.5724", "8.6234", "8.6736", "8.7229", "8.7714", "8.8193", "8.8664", "8.9128", "8.9586", "9.0038", "9.0484", "9.0923", "9.1358", "9.1787", "9.2211", "9.2629", "9.3043", "9.3452", "9.3857", "9.4257", "9.4653", "9.5044", "9.6943", "9.8750", "10.048", "10.213", "10.371", "10.523", "10.810", "11.077" ); "specific volume" = ( "cm3/g@L3/M", "1.00007", "0.99995", "1.00021", "1.00081", "1.00171", "1.00288", "1.00429", "1.00592", "1.00777", "1.00980", "1.01203", "1.01443", "1.01701", "1.01975", "1.02266", "1.02572", "1.02894", "1.03232", "1.03585", "1.03953", "1.04337", "1.04736", "1.05151", "1.05581", "1.06028", "1.06491", "1.06970", "653.30", "662.47", "671.56", "680.59", "689.55", "698.46", "707.33", "716.16", "724.94", "733.70", "742.42", "751.12", "759.79", "768.44", "785.67", "802.82", "819.92", "836.95", "853.94", "870.88", "887.79", "904.67", "921.51", "938.33", "955.12", "971.90", "988.65", "1005.4", "1022.1", "1038.8", "1055.5", "1072.2", "1088.9", "1105.5", "1122.2", "1138.8", "1155.4", "1172.1", "1188.7", "1205.3", "1221.9", "1238.5", "1255.1", "1271.7", "1304.8", "1338.0", "1371.1", "1404.2", "1437.3", "1470.4", "1503.5", "1536.6", "1569.7", "1602.7", "1635.8", "1668.8", "1701.9", "1734.9", "1768.0", "1801.0", "1834.0", "1867.0", "1900.1", "1933.1", "1966.1", "1999.1", "2032.1", "2065.1", "2098.1", "2263.1", "2428.1", "2593.0", "2758.0", "2922.9", "3087.8", "3417.5", "3747.2" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.94", "1000.06", "999.80", "999.20", "998.30", "997.14", "995.74", "994.12", "992.30", "990.30", "988.12", "985.78", "983.28", "980.64", "977.85", "974.93", "971.88", "968.70", "965.40", "961.98", "958.44", "954.79", "951.02", "947.15", "943.16", "939.06", "934.85", "1.6438", "1.6208", "1.5986", "1.5773", "1.5566", "1.5365", "1.5171", "1.4983", "1.4800", "1.4623", "1.4450", "1.4282", "1.4118", "1.3958", "1.3651", "1.3358", "1.3078", "1.2811", "1.2556", "1.2311", "1.2076", "1.1850", "1.1633", "1.1424", "1.1223", "1.1029", "1.0842", "1.0661", "1.0486", "1.0317", "1.0154", "0.99959", "0.98427", "0.96942", "0.95503", "0.94106", "0.92750", "0.91433", "0.90154", "0.88911", "0.87702", "0.86526", "0.85381", "0.84266", "0.82124", "0.80088", "0.78152", "0.76308", "0.74550", "0.72871", "0.71267", "0.69732", "0.68263", "0.66854", "0.65503", "0.64205", "0.62958", "0.61759", "0.60605", "0.59493", "0.58422", "0.57388", "0.56391", "0.55427", "0.54496", "0.53596", "0.52726", "0.51883", "0.51066", "0.47343", "0.44126", "0.41319", "0.38848", "0.36656", "0.34699", "0.31351", "0.28592" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.26", "21.32", "42.31", "63.27", "84.19", "105.10", "126.00", "146.90", "167.79", "188.69", "209.59", "230.50", "251.42", "272.34", "293.29", "314.24", "335.21", "356.20", "377.22", "398.25", "419.32", "440.41", "461.53", "482.69", "503.88", "525.12", "546.40", "2728.2", "2739.4", "2750.3", "2761.2", "2771.9", "2782.6", "2793.2", "2803.7", "2814.2", "2824.6", "2835.0", "2845.3", "2855.6", "2865.9", "2886.4", "2906.8", "2927.2", "2947.5", "2967.9", "2988.2", "3008.5", "3028.8", "3049.2", "3069.6", "3090.0", "3110.4", "3130.9", "3151.4", "3172.0", "3192.6", "3213.2", "3233.9", "3254.7", "3275.5", "3296.3", "3317.2", "3338.2", "3359.2", "3380.3", "3401.4", "3422.6", "3443.9", "3465.2", "3486.6", "3529.6", "3572.8", "3616.3", "3660.0", "3704.0", "3748.3", "3792.9", "3837.7", "3882.8", "3928.2", "3973.9", "4019.8", "4066.0", "4112.5", "4159.3", "4206.3", "4253.7", "4301.3", "4349.1", "4397.3", "4445.7", "4494.4", "4543.3", "4592.5", "4642.0", "4893.1", "5150.2", "5412.9", "5680.9", "5953.7", "6230.9", "6797.1", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00013", "0.07625", "0.15106", "0.22442", "0.29642", "0.36715", "0.43666", "0.50503", "0.57229", "0.63849", "0.70368", "0.76788", "0.83114", "0.89350", "0.95497", "1.0156", "1.0754", "1.1344", "1.1927", "1.2502", "1.3071", "1.3632", "1.4187", "1.4736", "1.5278", "1.5815", "1.6346", "6.9998", "7.0269", "7.0533", "7.0791", "7.1044", "7.1291", "7.1534", "7.1773", "7.2008", "7.2239", "7.2467", "7.2691", "7.2913", "7.3131", "7.3560", "7.3978", "7.4387", "7.4788", "7.5180", "7.5565", "7.5943", "7.6314", "7.6678", "7.7037", "7.7390", "7.7738", "7.8080", "7.8417", "7.8750", "7.9078", "7.9401", "7.9721", "8.0036", "8.0347", "8.0655", "8.0959", "8.1259", "8.1556", "8.1849", "8.2140", "8.2427", "8.2711", "8.2992", "8.3271", "8.3819", "8.4357", "8.4886", "8.5404", "8.5914", "8.6416", "8.6909", "8.7395", "8.7873", "8.8344", "8.8809", "8.9267", "8.9719", "9.0164", "9.0604", "9.1039", "9.1468", "9.1892", "9.2310", "9.2724", "9.3133", "9.3538", "9.3938", "9.4334", "9.4726", "9.6624", "9.8431", "10.016", "10.181", "10.339", "10.491", "10.778", "11.045" ); "specific volume" = ( "cm3/g@L3/M", "1.00006", "0.99994", "1.00020", "1.00081", "1.00170", "1.00287", "1.00428", "1.00591", "1.00776", "1.00980", "1.01202", "1.01443", "1.01700", "1.01974", "1.02265", "1.02571", "1.02893", "1.03231", "1.03584", "1.03952", "1.04336", "1.04735", "1.05150", "1.05580", "1.06027", "1.06490", "1.06969", "608.33", "616.97", "625.53", "634.01", "642.44", "650.81", "659.13", "667.42", "675.66", "683.87", "692.05", "700.20", "708.32", "716.42", "732.56", "748.62", "764.61", "780.55", "796.44", "812.29", "828.10", "843.88", "859.62", "875.34", "891.04", "906.72", "922.37", "938.01", "953.63", "969.24", "984.83", "1000.4", "1016.0", "1031.5", "1047.1", "1062.6", "1078.2", "1093.7", "1109.2", "1124.7", "1140.2", "1155.7", "1171.2", "1186.7", "1217.7", "1248.6", "1279.6", "1310.5", "1341.4", "1372.3", "1403.2", "1434.1", "1464.9", "1495.8", "1526.6", "1557.5", "1588.4", "1619.2", "1650.0", "1680.9", "1711.7", "1742.5", "1773.3", "1804.2", "1835.0", "1865.8", "1896.6", "1927.4", "1958.2", "2112.2", "2266.2", "2420.2", "2574.1", "2728.0", "2881.9", "3189.7", "3497.5" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.97", "1000.09", "999.82", "999.22", "998.32", "997.16", "995.76", "994.14", "992.33", "990.32", "988.14", "985.80", "983.30", "980.66", "977.87", "974.95", "971.90", "968.72", "965.42", "962.00", "958.47", "954.81", "951.05", "947.17", "943.18", "939.08", "934.88", "930.56", "1.9015", "1.8747", "1.8490", "1.8242", "1.8003", "1.7771", "1.7547", "1.7329", "1.7118", "1.6912", "1.6713", "1.6519", "1.6330", "1.5966", "1.5620", "1.5290", "1.4976", "1.4675", "1.4386", "1.4110", "1.3845", "1.3590", "1.3344", "1.3108", "1.2881", "1.2661", "1.2449", "1.2245", "1.2047", "1.1856", "1.1670", "1.1491", "1.1317", "1.1149", "1.0985", "1.0827", "1.0673", "1.0523", "1.0378", "1.0236", "1.0099", "0.99651", "0.98348", "0.95844", "0.93465", "0.91203", "0.89049", "0.86995", "0.85034", "0.83161", "0.81369", "0.79653", "0.78008", "0.76430", "0.74915", "0.73459", "0.72059", "0.70712", "0.69414", "0.68164", "0.66957", "0.65793", "0.64669", "0.63582", "0.62532", "0.61516", "0.60532", "0.59579", "0.55234", "0.51481", "0.48206", "0.45323", "0.42765", "0.40481", "0.36575", "0.33357" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.31", "21.37", "42.36", "63.31", "84.24", "105.15", "126.05", "146.94", "167.84", "188.73", "209.63", "230.54", "251.46", "272.39", "293.33", "314.28", "335.25", "356.24", "377.26", "398.29", "419.35", "440.44", "461.57", "482.72", "503.92", "525.16", "546.44", "567.77", "2734.6", "2745.9", "2757.1", "2768.1", "2778.9", "2789.7", "2800.4", "2811.1", "2821.6", "2832.1", "2842.6", "2853.0", "2863.4", "2884.1", "2904.7", "2925.2", "2945.7", "2966.2", "2986.6", "3007.0", "3027.4", "3047.9", "3068.3", "3088.8", "3109.3", "3129.8", "3150.4", "3171.0", "3191.6", "3212.3", "3233.1", "3253.9", "3274.7", "3295.6", "3316.5", "3337.5", "3358.6", "3379.7", "3400.8", "3422.0", "3443.3", "3464.7", "3486.1", "3529.1", "3572.3", "3615.8", "3659.6", "3703.6", "3747.9", "3792.5", "3837.4", "3882.5", "3927.9", "3973.6", "4019.5", "4065.8", "4112.3", "4159.1", "4206.1", "4253.5", "4301.1", "4349.0", "4397.1", "4445.5", "4494.2", "4543.2", "4592.4", "4641.8", "4893.0", "5150.1", "5412.9", "5680.8", "5953.6", "6230.8", "6797.0", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00013", "0.07625", "0.15106", "0.22441", "0.29641", "0.36714", "0.43665", "0.50501", "0.57227", "0.63847", "0.70365", "0.76786", "0.83112", "0.89347", "0.95494", "1.0156", "1.0754", "1.1344", "1.1927", "1.2502", "1.3070", "1.3632", "1.4187", "1.4735", "1.5278", "1.5814", "1.6346", "1.6872", "6.9465", "6.9738", "7.0003", "7.0261", "7.0514", "7.0761", "7.1004", "7.1243", "7.1477", "7.1708", "7.1935", "7.2159", "7.2380", "7.2813", "7.3235", "7.3647", "7.4050", "7.4444", "7.4831", "7.5211", "7.5583", "7.5949", "7.6309", "7.6664", "7.7012", "7.7355", "7.7693", "7.8027", "7.8355", "7.8680", "7.9000", "7.9315", "7.9627", "7.9935", "8.0239", "8.0540", "8.0837", "8.1131", "8.1422", "8.1709", "8.1994", "8.2275", "8.2554", "8.3103", "8.3642", "8.4170", "8.4689", "8.5200", "8.5701", "8.6195", "8.6681", "8.7159", "8.7631", "8.8095", "8.8553", "8.9005", "8.9451", "8.9891", "9.0326", "9.0755", "9.1179", "9.1598", "9.2012", "9.2421", "9.2825", "9.3226", "9.3621", "9.4013", "9.5912", "9.7719", "9.9445", "10.110", "10.268", "10.420", "10.707", "10.974" ); "specific volume" = ( "cm3/g@L3/M", "1.00003", "0.99991", "1.00018", "1.00078", "1.00168", "1.00285", "1.00426", "1.00589", "1.00773", "1.00977", "1.01200", "1.01440", "1.01698", "1.01972", "1.02263", "1.02569", "1.02891", "1.03229", "1.03581", "1.03950", "1.04333", "1.04732", "1.05147", "1.05578", "1.06024", "1.06487", "1.06966", "1.07463", "525.91", "533.41", "540.83", "548.18", "555.47", "562.72", "569.91", "577.07", "584.19", "591.28", "598.34", "605.37", "612.38", "626.33", "640.20", "654.00", "667.75", "681.45", "695.10", "708.72", "722.30", "735.85", "749.37", "762.87", "776.35", "789.81", "803.25", "816.68", "830.09", "843.48", "856.87", "870.24", "883.60", "896.95", "910.30", "923.63", "936.96", "950.28", "963.60", "976.90", "990.21", "1003.5", "1016.8", "1043.4", "1069.9", "1096.5", "1123.0", "1149.5", "1176.0", "1202.5", "1229.0", "1255.5", "1281.9", "1308.4", "1334.8", "1361.3", "1387.7", "1414.2", "1440.6", "1467.1", "1493.5", "1519.9", "1546.3", "1572.8", "1599.2", "1625.6", "1652.0", "1678.4", "1810.5", "1942.5", "2074.5", "2206.4", "2338.3", "2470.3", "2734.1", "2997.9" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "999.99", "1000.11", "999.85", "999.24", "998.34", "997.18", "995.78", "994.17", "992.35", "990.34", "988.17", "985.82", "983.33", "980.68", "977.90", "974.98", "971.92", "968.75", "965.45", "962.03", "958.49", "954.84", "951.07", "947.20", "943.21", "939.11", "934.90", "930.58", "926.16", "2.1540", "2.1237", "2.0945", "2.0664", "2.0393", "2.0131", "1.9877", "1.9631", "1.9392", "1.9160", "1.8934", "1.8715", "1.8293", "1.7893", "1.7512", "1.7148", "1.6801", "1.6469", "1.6151", "1.5845", "1.5552", "1.5270", "1.4998", "1.4737", "1.4485", "1.4241", "1.4006", "1.3779", "1.3560", "1.3347", "1.3142", "1.2943", "1.2749", "1.2562", "1.2380", "1.2204", "1.2032", "1.1866", "1.1704", "1.1546", "1.1393", "1.1244", "1.0957", "1.0685", "1.0426", "1.0180", "0.99446", "0.97202", "0.95059", "0.93009", "0.91046", "0.89165", "0.87360", "0.85628", "0.83963", "0.82362", "0.80821", "0.79337", "0.77907", "0.76528", "0.75197", "0.73911", "0.72669", "0.71468", "0.70306", "0.69182", "0.68093", "0.63126", "0.58835", "0.55092", "0.51797", "0.48874", "0.46264", "0.41799", "0.38121" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.37", "21.42", "42.41", "63.36", "84.29", "105.20", "126.09", "146.99", "167.88", "188.78", "209.68", "230.58", "251.50", "272.43", "293.37", "314.32", "335.29", "356.28", "377.29", "398.33", "419.39", "440.48", "461.60", "482.76", "503.95", "525.19", "546.47", "567.80", "589.19", "2741.3", "2752.8", "2764.1", "2775.2", "2786.2", "2797.1", "2807.9", "2818.6", "2829.3", "2839.9", "2850.4", "2860.9", "2881.8", "2902.6", "2923.3", "2943.9", "2964.5", "2985.0", "3005.5", "3026.0", "3046.6", "3067.1", "3087.6", "3108.2", "3128.8", "3149.4", "3170.0", "3190.7", "3211.5", "3232.2", "3253.0", "3273.9", "3294.8", "3315.8", "3336.8", "3357.9", "3379.0", "3400.2", "3421.4", "3442.8", "3464.1", "3485.5", "3528.6", "3571.9", "3615.4", "3659.2", "3703.2", "3747.6", "3792.2", "3837.0", "3882.2", "3927.6", "3973.3", "4019.3", "4065.5", "4112.0", "4158.8", "4205.9", "4253.3", "4300.9", "4348.8", "4396.9", "4445.3", "4494.0", "4543.0", "4592.2", "4641.7", "4892.8", "5150.0", "5412.8", "5680.8", "5953.6", "6230.8", "6797.0", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00013", "0.07625", "0.15105", "0.22440", "0.29640", "0.36712", "0.43663", "0.50499", "0.57225", "0.63845", "0.70363", "0.76783", "0.83109", "0.89344", "0.95491", "1.0155", "1.0753", "1.1344", "1.1926", "1.2502", "1.3070", "1.3631", "1.4186", "1.4735", "1.5277", "1.5814", "1.6345", "1.6871", "1.7392", "6.9033", "6.9306", "6.9571", "6.9829", "7.0081", "7.0329", "7.0571", "7.0809", "7.1043", "7.1273", "7.1500", "7.1723", "7.2160", "7.2586", "7.3001", "7.3407", "7.3804", "7.4193", "7.4574", "7.4948", "7.5316", "7.5677", "7.6032", "7.6382", "7.6726", "7.7065", "7.7399", "7.7728", "7.8053", "7.8374", "7.8690", "7.9002", "7.9311", "7.9615", "7.9917", "8.0214", "8.0508", "8.0799", "8.1087", "8.1372", "8.1654", "8.1933", "8.2482", "8.3021", "8.3550", "8.4069", "8.4580", "8.5082", "8.5576", "8.6062", "8.6540", "8.7012", "8.7477", "8.7935", "8.8387", "8.8833", "8.9273", "8.9708", "9.0137", "9.0561", "9.0980", "9.1394", "9.1803", "9.2208", "9.2608", "9.3004", "9.3396", "9.5295", "9.7102", "9.8828", "10.048", "10.206", "10.358", "10.645", "10.912" ); "specific volume" = ( "cm3/g@L3/M", "1.00001", "0.99989", "1.00015", "1.00076", "1.00166", "1.00283", "1.00424", "1.00587", "1.00771", "1.00975", "1.01198", "1.01438", "1.01696", "1.01970", "1.02260", "1.02567", "1.02889", "1.03226", "1.03579", "1.03947", "1.04331", "1.04730", "1.05144", "1.05575", "1.06021", "1.06484", "1.06963", "1.07459", "1.07973", "464.25", "470.88", "477.44", "483.93", "490.37", "496.76", "503.10", "509.41", "515.69", "521.93", "528.14", "534.33", "546.65", "558.88", "571.04", "583.14", "595.20", "607.20", "619.17", "631.11", "643.01", "654.89", "666.74", "678.58", "690.39", "702.18", "713.96", "725.72", "737.47", "749.21", "760.93", "772.64", "784.35", "796.05", "807.73", "819.41", "831.09", "842.75", "854.41", "866.07", "877.71", "889.36", "912.63", "935.89", "959.13", "982.36", "1005.6", "1028.8", "1052.0", "1075.2", "1098.3", "1121.5", "1144.7", "1167.8", "1191.0", "1214.2", "1237.3", "1260.4", "1283.6", "1306.7", "1329.8", "1353.0", "1376.1", "1399.2", "1422.3", "1445.5", "1468.6", "1584.1", "1699.7", "1815.2", "1930.6", "2046.1", "2161.5", "2392.4", "2623.2" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.02", "1000.14", "999.87", "999.27", "998.37", "997.20", "995.80", "994.19", "992.37", "990.37", "988.19", "985.85", "983.35", "980.70", "977.92", "975.00", "971.95", "968.77", "965.47", "962.05", "958.51", "954.86", "951.10", "947.22", "943.23", "939.13", "934.93", "930.61", "926.18", "921.64", "2.4014", "2.3676", "2.3351", "2.3038", "2.2736", "2.2444", "2.2162", "2.1888", "2.1623", "2.1365", "2.1114", "2.0633", "2.0177", "1.9743", "1.9330", "1.8936", "1.8559", "1.8197", "1.7851", "1.7519", "1.7200", "1.6893", "1.6597", "1.6312", "1.6037", "1.5771", "1.5515", "1.5267", "1.5027", "1.4795", "1.4570", "1.4352", "1.4141", "1.3936", "1.3737", "1.3543", "1.3355", "1.3173", "1.2995", "1.2823", "1.2654", "1.2331", "1.2024", "1.1733", "1.1455", "1.1190", "1.0938", "1.0696", "1.0465", "1.0244", "1.0032", "0.98293", "0.96343", "0.94469", "0.92666", "0.90932", "0.89262", "0.87652", "0.86100", "0.84601", "0.83155", "0.81757", "0.80405", "0.79098", "0.77832", "0.76607", "0.71018", "0.66190", "0.61978", "0.58271", "0.54982", "0.52046", "0.47023", "0.42885" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.42", "21.47", "42.46", "63.41", "84.34", "105.24", "126.14", "147.03", "167.93", "188.82", "209.72", "230.63", "251.54", "272.47", "293.41", "314.36", "335.33", "356.32", "377.33", "398.37", "419.43", "440.52", "461.64", "482.79", "503.99", "525.22", "546.51", "567.84", "589.22", "610.66", "2748.3", "2759.9", "2771.3", "2782.6", "2793.7", "2804.7", "2815.5", "2826.4", "2837.1", "2847.8", "2858.4", "2879.5", "2900.5", "2921.3", "2942.1", "2962.8", "2983.4", "3004.0", "3024.6", "3045.2", "3065.8", "3086.4", "3107.0", "3127.7", "3148.4", "3169.1", "3189.8", "3210.6", "3231.4", "3252.2", "3273.1", "3294.1", "3315.1", "3336.1", "3357.2", "3378.4", "3399.6", "3420.9", "3442.2", "3463.6", "3485.0", "3528.1", "3571.4", "3614.9", "3658.8", "3702.9", "3747.2", "3791.8", "3836.7", "3881.9", "3927.3", "3973.0", "4019.0", "4065.3", "4111.8", "4158.6", "4205.7", "4253.0", "4300.7", "4348.6", "4396.7", "4445.2", "4493.9", "4542.8", "4592.1", "4641.5", "4892.7", "5149.9", "5412.7", "5680.7", "5953.5", "6230.7", "6797.0", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00012", "0.07625", "0.15105", "0.22440", "0.29639", "0.36711", "0.43662", "0.50498", "0.57223", "0.63843", "0.70361", "0.76781", "0.83106", "0.89341", "0.95488", "1.0155", "1.0753", "1.1343", "1.1926", "1.2501", "1.3069", "1.3631", "1.4186", "1.4734", "1.5277", "1.5814", "1.6345", "1.6871", "1.7391", "1.7907", "6.8678", "6.8950", "6.9215", "6.9473", "6.9725", "6.9971", "7.0213", "7.0450", "7.0683", "7.0913", "7.1138", "7.1580", "7.2009", "7.2428", "7.2836", "7.3235", "7.3626", "7.4010", "7.4385", "7.4754", "7.5117", "7.5473", "7.5824", "7.6169", "7.6509", "7.6844", "7.7174", "7.7499", "7.7820", "7.8137", "7.8450", "7.8759", "7.9064", "7.9366", "7.9664", "7.9958", "8.0250", "8.0538", "8.0823", "8.1105", "8.1384", "8.1934", "8.2473", "8.3002", "8.3522", "8.4033", "8.4535", "8.5029", "8.5515", "8.5994", "8.6466", "8.6931", "8.7389", "8.7842", "8.8288", "8.8728", "8.9163", "8.9592", "9.0016", "9.0435", "9.0849", "9.1258", "9.1663", "9.2064", "9.2460", "9.2851", "9.4750", "9.6558", "9.8284", "9.9935", "10.152", "10.304", "10.591", "10.858" ); "specific volume" = ( "cm3/g@L3/M", "0.99998", "0.99986", "1.00013", "1.00074", "1.00164", "1.00280", "1.00421", "1.00585", "1.00769", "1.00973", "1.01195", "1.01436", "1.01693", "1.01968", "1.02258", "1.02564", "1.02886", "1.03224", "1.03577", "1.03945", "1.04328", "1.04727", "1.05142", "1.05572", "1.06018", "1.06481", "1.06960", "1.07456", "1.07970", "1.08502", "416.42", "422.37", "428.25", "434.06", "439.83", "445.55", "451.23", "456.87", "462.48", "468.06", "473.62", "484.66", "495.61", "506.50", "517.33", "528.11", "538.84", "549.53", "560.18", "570.81", "581.40", "591.98", "602.53", "613.06", "623.57", "634.07", "644.55", "655.01", "665.47", "675.91", "686.34", "696.77", "707.18", "717.59", "727.99", "738.38", "748.76", "759.14", "769.51", "779.88", "790.24", "810.95", "831.64", "852.32", "872.98", "893.64", "914.28", "934.91", "955.54", "976.15", "996.76", "1017.4", "1038.0", "1058.6", "1079.1", "1099.7", "1120.3", "1140.9", "1161.4", "1182.0", "1202.6", "1223.1", "1243.7", "1264.3", "1284.8", "1305.4", "1408.1", "1510.8", "1613.5", "1716.1", "1818.8", "1921.4", "2126.6", "2331.8" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.05", "1000.16", "999.89", "999.29", "998.39", "997.23", "995.83", "994.21", "992.39", "990.39", "988.21", "985.87", "983.37", "980.73", "977.94", "975.02", "971.97", "968.79", "965.49", "962.07", "958.54", "954.88", "951.12", "947.24", "943.26", "939.16", "934.95", "930.64", "926.21", "921.67", "917.02", "2.6436", "2.6064", "2.5708", "2.5364", "2.5033", "2.4712", "2.4402", "2.4102", "2.3811", "2.3528", "2.2986", "2.2472", "2.1984", "2.1520", "2.1078", "2.0655", "2.0251", "1.9863", "1.9492", "1.9135", "1.8791", "1.8461", "1.8143", "1.7836", "1.7539", "1.7253", "1.6977", "1.6709", "1.6450", "1.6199", "1.5957", "1.5721", "1.5493", "1.5271", "1.5056", "1.4846", "1.4643", "1.4445", "1.4253", "1.4066", "1.3706", "1.3365", "1.3040", "1.2731", "1.2436", "1.2155", "1.1887", "1.1630", "1.1384", "1.1149", "1.0923", "1.0706", "1.0498", "1.0297", "1.0104", "0.99188", "0.97398", "0.95673", "0.94007", "0.92399", "0.90845", "0.89343", "0.87890", "0.86483", "0.85121", "0.78910", "0.73545", "0.68864", "0.64745", "0.61091", "0.57828", "0.52247", "0.47649" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.47", "21.52", "42.51", "63.46", "84.38", "105.29", "126.19", "147.08", "167.97", "188.86", "209.76", "230.67", "251.58", "272.51", "293.45", "314.40", "335.37", "356.36", "377.37", "398.41", "419.47", "440.55", "461.67", "482.83", "504.02", "525.26", "546.54", "567.87", "589.25", "610.69", "632.19", "2755.7", "2767.4", "2778.9", "2790.2", "2801.4", "2812.4", "2823.4", "2834.3", "2845.1", "2855.8", "2877.2", "2898.3", "2919.3", "2940.2", "2961.0", "2981.8", "3002.5", "3023.2", "3043.9", "3064.6", "3085.2", "3105.9", "3126.6", "3147.3", "3168.1", "3188.9", "3209.7", "3230.5", "3251.4", "3272.3", "3293.3", "3314.4", "3335.4", "3356.6", "3377.7", "3399.0", "3420.3", "3441.6", "3463.0", "3484.5", "3527.6", "3570.9", "3614.5", "3658.4", "3702.5", "3746.8", "3791.5", "3836.4", "3881.6", "3927.0", "3972.7", "4018.7", "4065.0", "4111.6", "4158.4", "4205.5", "4252.8", "4300.5", "4348.4", "4396.6", "4445.0", "4493.7", "4542.7", "4591.9", "4641.4", "4892.6", "5149.8", "5412.6", "5680.6", "5953.5", "6230.7", "6797.0", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00012", "0.07625", "0.15104", "0.22439", "0.29638", "0.36710", "0.43660", "0.50496", "0.57221", "0.63840", "0.70358", "0.76778", "0.83104", "0.89338", "0.95485", "1.0155", "1.0753", "1.1343", "1.1926", "1.2501", "1.3069", "1.3630", "1.4185", "1.4734", "1.5276", "1.5813", "1.6344", "1.6870", "1.7391", "1.7907", "1.8418", "6.8384", "6.8656", "6.8919", "6.9176", "6.9427", "6.9673", "6.9913", "7.0150", "7.0382", "7.0610", "7.1056", "7.1489", "7.1911", "7.2322", "7.2724", "7.3117", "7.3502", "7.3880", "7.4250", "7.4614", "7.4972", "7.5323", "7.5669", "7.6010", "7.6346", "7.6677", "7.7003", "7.7325", "7.7642", "7.7955", "7.8265", "7.8570", "7.8872", "7.9170", "7.9465", "7.9757", "8.0045", "8.0331", "8.0613", "8.0892", "8.1443", "8.1983", "8.2512", "8.3032", "8.3543", "8.4046", "8.4540", "8.5027", "8.5506", "8.5977", "8.6443", "8.6901", "8.7353", "8.7800", "8.8240", "8.8675", "8.9104", "8.9528", "8.9947", "9.0362", "9.0771", "9.1176", "9.1576", "9.1972", "9.2364", "9.4263", "9.6071", "9.7797", "9.9448", "10.103", "10.255", "10.542", "10.809" ); "specific volume" = ( "cm3/g@L3/M", "0.99995", "0.99984", "1.00011", "1.00071", "1.00161", "1.00278", "1.00419", "1.00582", "1.00767", "1.00971", "1.01193", "1.01434", "1.01691", "1.01965", "1.02256", "1.02562", "1.02884", "1.03221", "1.03574", "1.03942", "1.04326", "1.04725", "1.05139", "1.05569", "1.06016", "1.06478", "1.06957", "1.07453", "1.07967", "1.08499", "1.09049", "378.27", "383.66", "388.99", "394.26", "399.48", "404.66", "409.80", "414.91", "419.98", "425.03", "435.06", "445.00", "454.87", "464.67", "474.43", "484.14", "493.80", "503.44", "513.04", "522.61", "532.16", "541.69", "551.19", "560.68", "570.15", "579.61", "589.05", "598.48", "607.90", "617.30", "626.70", "636.09", "645.47", "654.84", "664.21", "673.57", "682.92", "692.27", "701.61", "710.94", "729.60", "748.24", "766.87", "785.48", "804.09", "822.68", "841.26", "859.83", "878.40", "896.96", "915.51", "934.05", "952.59", "971.13", "989.66", "1008.2", "1026.7", "1045.2", "1063.7", "1082.3", "1100.8", "1119.3", "1137.8", "1156.3", "1174.8", "1267.3", "1359.7", "1452.1", "1544.5", "1636.9", "1729.3", "1914.0", "2098.7" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.07", "1000.19", "999.92", "999.31", "998.41", "997.25", "995.85", "994.23", "992.41", "990.41", "988.23", "985.89", "983.39", "980.75", "977.96", "975.04", "971.99", "968.81", "965.51", "962.10", "958.56", "954.91", "951.14", "947.27", "943.28", "939.19", "934.98", "930.66", "926.24", "921.70", "917.05", "912.29", "2.8806", "2.8403", "2.8015", "2.7642", "2.7282", "2.6935", "2.6598", "2.6272", "2.5956", "2.5351", "2.4778", "2.4236", "2.3720", "2.3228", "2.2759", "2.2311", "2.1882", "2.1470", "2.1075", "2.0695", "2.0329", "1.9977", "1.9638", "1.9310", "1.8994", "1.8689", "1.8394", "1.8108", "1.7831", "1.7563", "1.7303", "1.7051", "1.6807", "1.6569", "1.6339", "1.6114", "1.5897", "1.5685", "1.5478", "1.5082", "1.4706", "1.4348", "1.4008", "1.3683", "1.3374", "1.3078", "1.2795", "1.2525", "1.2265", "1.2017", "1.1778", "1.1549", "1.1328", "1.1116", "1.0912", "1.0715", "1.0525", "1.0341", "1.0164", "0.99935", "0.98282", "0.96683", "0.95135", "0.93637", "0.86802", "0.80900", "0.75750", "0.71218", "0.67199", "0.63609", "0.57471", "0.52413" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.52", "21.57", "42.56", "63.51", "84.43", "105.34", "126.23", "147.12", "168.01", "188.91", "209.81", "230.71", "251.63", "272.55", "293.49", "314.44", "335.41", "356.40", "377.41", "398.44", "419.50", "440.59", "461.71", "482.87", "504.06", "525.29", "546.57", "567.90", "589.28", "610.72", "632.22", "653.79", "2763.3", "2775.1", "2786.6", "2798.0", "2809.3", "2820.4", "2831.4", "2842.4", "2853.2", "2874.8", "2896.1", "2917.3", "2938.3", "2959.3", "2980.2", "3001.0", "3021.8", "3042.5", "3063.3", "3084.0", "3104.8", "3125.5", "3146.3", "3167.1", "3187.9", "3208.8", "3229.7", "3250.6", "3271.6", "3292.6", "3313.6", "3334.7", "3355.9", "3377.1", "3398.4", "3419.7", "3441.0", "3462.5", "3483.9", "3527.1", "3570.4", "3614.1", "3657.9", "3702.1", "3746.5", "3791.1", "3836.1", "3881.3", "3926.7", "3972.5", "4018.5", "4064.8", "4111.3", "4158.2", "4205.3", "4252.6", "4300.3", "4348.2", "4396.4", "4444.8", "4493.5", "4542.5", "4591.8", "4641.3", "4892.5", "5149.7", "5412.6", "5680.6", "5953.4", "6230.7", "6796.9", "7376.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00012", "0.07624", "0.15104", "0.22438", "0.29637", "0.36708", "0.43659", "0.50494", "0.57219", "0.63838", "0.70356", "0.76776", "0.83101", "0.89336", "0.95482", "1.0154", "1.0752", "1.1343", "1.1925", "1.2500", "1.3069", "1.3630", "1.4185", "1.4733", "1.5276", "1.5813", "1.6344", "1.6870", "1.7390", "1.7906", "1.8417", "1.8924", "6.8140", "6.8410", "6.8673", "6.8928", "6.9178", "6.9422", "6.9662", "6.9897", "7.0128", "7.0579", "7.1016", "7.1441", "7.1855", "7.2259", "7.2655", "7.3041", "7.3421", "7.3793", "7.4158", "7.4517", "7.4869", "7.5216", "7.5558", "7.5894", "7.6226", "7.6553", "7.6875", "7.7193", "7.7507", "7.7817", "7.8123", "7.8425", "7.8724", "7.9019", "7.9311", "7.9600", "7.9885", "8.0168", "8.0447", "8.0998", "8.1538", "8.2068", "8.2589", "8.3100", "8.3603", "8.4097", "8.4584", "8.5063", "8.5535", "8.6000", "8.6459", "8.6912", "8.7358", "8.7798", "8.8233", "8.8663", "8.9087", "8.9506", "8.9920", "9.0330", "9.0735", "9.1135", "9.1531", "9.1923", "9.3822", "9.5630", "9.7356", "9.9008", "10.059", "10.211", "10.498", "10.765" ); "specific volume" = ( "cm3/g@L3/M", "0.99993", "0.99981", "1.00008", "1.00069", "1.00159", "1.00276", "1.00417", "1.00580", "1.00764", "1.00968", "1.01191", "1.01431", "1.01689", "1.01963", "1.02253", "1.02560", "1.02882", "1.03219", "1.03572", "1.03940", "1.04323", "1.04722", "1.05136", "1.05567", "1.06013", "1.06475", "1.06954", "1.07450", "1.07964", "1.08495", "1.09045", "1.09615", "347.15", "352.08", "356.95", "361.77", "366.54", "371.27", "375.97", "380.63", "385.27", "394.47", "403.58", "412.61", "421.59", "430.51", "439.38", "448.21", "457.01", "465.77", "474.51", "483.22", "491.91", "500.57", "509.22", "517.86", "526.47", "535.08", "543.67", "552.25", "560.82", "569.37", "577.92", "586.47", "595.00", "603.53", "612.05", "620.56", "629.07", "637.57", "646.07", "663.05", "680.01", "696.96", "713.89", "730.82", "747.73", "764.63", "781.53", "798.42", "815.30", "832.17", "849.04", "865.90", "882.76", "899.61", "916.46", "933.30", "950.15", "966.98", "983.82", "1000.7", "1017.5", "1034.3", "1051.1", "1068.0", "1152.0", "1236.1", "1320.1", "1404.1", "1488.1", "1572.1", "1740.0", "1907.9" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.10", "1000.21", "999.94", "999.34", "998.44", "997.27", "995.87", "994.25", "992.44", "990.43", "988.25", "985.91", "983.41", "980.77", "977.98", "975.06", "972.01", "968.84", "965.54", "962.12", "958.58", "954.93", "951.17", "947.29", "943.31", "939.21", "935.01", "930.69", "926.26", "921.73", "917.08", "912.32", "3.1578", "3.1124", "3.0690", "3.0274", "2.9873", "2.9486", "2.9112", "2.8750", "2.8399", "2.7729", "2.7097", "2.6497", "2.5929", "2.5387", "2.4871", "2.4378", "2.3906", "2.3453", "2.3019", "2.2602", "2.2201", "2.1815", "2.1444", "2.1085", "2.0739", "2.0404", "2.0081", "1.9768", "1.9465", "1.9172", "1.8887", "1.8612", "1.8344", "1.8085", "1.7832", "1.7587", "1.7349", "1.7117", "1.6892", "1.6459", "1.6048", "1.5657", "1.5285", "1.4931", "1.4593", "1.4270", "1.3961", "1.3666", "1.3382", "1.3111", "1.2850", "1.2600", "1.2359", "1.2128", "1.1904", "1.1690", "1.1482", "1.1282", "1.1089", "1.0903", "1.0722", "1.0548", "1.0379", "1.0215", "0.94695", "0.88254", "0.82636", "0.77692", "0.73307", "0.69391", "0.62694", "0.57177" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.57", "21.62", "42.61", "63.55", "84.48", "105.38", "126.28", "147.17", "168.06", "188.95", "209.85", "230.75", "251.67", "272.59", "293.53", "314.48", "335.45", "356.44", "377.45", "398.48", "419.54", "440.63", "461.75", "482.90", "504.09", "525.33", "546.61", "567.93", "589.32", "610.76", "632.26", "653.82", "2759.0", "2771.1", "2783.0", "2794.6", "2806.0", "2817.3", "2828.5", "2839.6", "2850.6", "2872.4", "2893.9", "2915.3", "2936.5", "2957.6", "2978.5", "2999.5", "3020.3", "3041.2", "3062.0", "3082.8", "3103.6", "3124.4", "3145.3", "3166.1", "3187.0", "3207.9", "3228.8", "3249.8", "3270.8", "3291.8", "3312.9", "3334.0", "3355.2", "3376.5", "3397.7", "3419.1", "3440.5", "3461.9", "3483.4", "3526.6", "3570.0", "3613.6", "3657.5", "3701.7", "3746.1", "3790.8", "3835.7", "3880.9", "3926.4", "3972.2", "4018.2", "4064.5", "4111.1", "4157.9", "4205.0", "4252.4", "4300.1", "4348.0", "4396.2", "4444.7", "4493.4", "4542.4", "4591.6", "4641.1", "4892.4", "5149.6", "5412.5", "5680.5", "5953.4", "6230.6", "6796.9", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00011", "0.07624", "0.15103", "0.22437", "0.29636", "0.36707", "0.43657", "0.50492", "0.57217", "0.63836", "0.70354", "0.76773", "0.83098", "0.89333", "0.95479", "1.0154", "1.0752", "1.1342", "1.1925", "1.2500", "1.3068", "1.3630", "1.4184", "1.4733", "1.5275", "1.5812", "1.6343", "1.6869", "1.7390", "1.7905", "1.8417", "1.8923", "6.7659", "6.7937", "6.8206", "6.8466", "6.8720", "6.8968", "6.9211", "6.9449", "6.9683", "7.0139", "7.0580", "7.1008", "7.1426", "7.1832", "7.2230", "7.2619", "7.3000", "7.3373", "7.3740", "7.4100", "7.4453", "7.4801", "7.5144", "7.5481", "7.5813", "7.6141", "7.6464", "7.6782", "7.7097", "7.7407", "7.7713", "7.8016", "7.8315", "7.8611", "7.8903", "7.9192", "7.9478", "7.9761", "8.0041", "8.0592", "8.1132", "8.1663", "8.2183", "8.2695", "8.3198", "8.3693", "8.4180", "8.4659", "8.5131", "8.5597", "8.6056", "8.6508", "8.6954", "8.7395", "8.7830", "8.8260", "8.8684", "8.9103", "8.9518", "8.9927", "9.0332", "9.0733", "9.1129", "9.1521", "9.3420", "9.5228", "9.6954", "9.8606", "10.019", "10.171", "10.458", "10.725" ); "specific volume" = ( "cm3/g@L3/M", "0.99990", "0.99979", "1.00006", "1.00067", "1.00157", "1.00273", "1.00415", "1.00578", "1.00762", "1.00966", "1.01189", "1.01429", "1.01687", "1.01961", "1.02251", "1.02557", "1.02879", "1.03217", "1.03569", "1.03937", "1.04321", "1.04719", "1.05134", "1.05564", "1.06010", "1.06472", "1.06951", "1.07447", "1.07961", "1.08492", "1.09042", "1.09611", "316.68", "321.29", "325.83", "330.32", "334.75", "339.15", "343.50", "347.83", "352.12", "360.63", "369.05", "377.40", "385.68", "393.90", "402.08", "410.21", "418.31", "426.38", "434.42", "442.43", "450.42", "458.39", "466.34", "474.27", "482.19", "490.10", "497.99", "505.87", "513.74", "521.60", "529.45", "537.29", "545.13", "552.96", "560.78", "568.59", "576.40", "584.20", "592.00", "607.58", "623.15", "638.70", "654.24", "669.76", "685.28", "700.78", "716.28", "731.76", "747.25", "762.72", "778.19", "793.65", "809.11", "824.57", "840.02", "855.47", "870.91", "886.35", "901.78", "917.22", "932.65", "948.08", "963.51", "978.93", "1056.0", "1133.1", "1210.1", "1287.1", "1364.1", "1441.1", "1595.1", "1749.0" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.12", "1000.24", "999.96", "999.36", "998.46", "997.30", "995.89", "994.28", "992.46", "990.45", "988.27", "985.93", "983.44", "980.79", "978.01", "975.09", "972.04", "968.86", "965.56", "962.14", "958.61", "954.96", "951.19", "947.32", "943.33", "939.24", "935.03", "930.72", "926.29", "921.75", "917.11", "912.35", "907.47", "3.3874", "3.3391", "3.2929", "3.2484", "3.2056", "3.1643", "3.1244", "3.0858", "3.0121", "2.9426", "2.8769", "2.8146", "2.7554", "2.6990", "2.6451", "2.5936", "2.5442", "2.4969", "2.4515", "2.4078", "2.3658", "2.3253", "2.2862", "2.2486", "2.2122", "2.1770", "2.1430", "2.1101", "2.0782", "2.0473", "2.0174", "1.9883", "1.9601", "1.9328", "1.9061", "1.8803", "1.8551", "1.8306", "1.7836", "1.7390", "1.6966", "1.6563", "1.6179", "1.5812", "1.5462", "1.5127", "1.4807", "1.4500", "1.4205", "1.3923", "1.3651", "1.3390", "1.3139", "1.2898", "1.2665", "1.2440", "1.2223", "1.2014", "1.1812", "1.1616", "1.1427", "1.1244", "1.1067", "1.0259", "0.95609", "0.89522", "0.84166", "0.79415", "0.75172", "0.67917", "0.61940" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.62", "21.67", "42.65", "63.60", "84.52", "105.43", "126.32", "147.21", "168.10", "188.99", "209.89", "230.80", "251.71", "272.63", "293.57", "314.52", "335.49", "356.48", "377.49", "398.52", "419.58", "440.67", "461.78", "482.94", "504.13", "525.36", "546.64", "567.97", "589.35", "610.79", "632.29", "653.85", "675.49", "2767.1", "2779.2", "2791.1", "2802.7", "2814.2", "2825.6", "2836.8", "2848.0", "2870.0", "2891.7", "2913.2", "2934.6", "2955.8", "2976.9", "2997.9", "3018.9", "3039.8", "3060.7", "3081.6", "3102.5", "3123.4", "3144.2", "3165.1", "3186.1", "3207.0", "3228.0", "3249.0", "3270.0", "3291.1", "3312.2", "3333.4", "3354.6", "3375.8", "3397.1", "3418.5", "3439.9", "3461.3", "3482.9", "3526.1", "3569.5", "3613.2", "3657.1", "3701.3", "3745.7", "3790.4", "3835.4", "3880.6", "3926.1", "3971.9", "4017.9", "4064.3", "4110.8", "4157.7", "4204.8", "4252.2", "4299.9", "4347.8", "4396.0", "4444.5", "4493.2", "4542.2", "4591.5", "4641.0", "4892.2", "5149.5", "5412.4", "5680.5", "5953.3", "6230.6", "6796.9", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00011", "0.07624", "0.15103", "0.22437", "0.29635", "0.36706", "0.43656", "0.50491", "0.57215", "0.63834", "0.70351", "0.76771", "0.83096", "0.89330", "0.95476", "1.0154", "1.0752", "1.1342", "1.1924", "1.2500", "1.3068", "1.3629", "1.4184", "1.4733", "1.5275", "1.5812", "1.6343", "1.6869", "1.7389", "1.7905", "1.8416", "1.8923", "1.9425", "6.7494", "6.7769", "6.8035", "6.8293", "6.8546", "6.8792", "6.9033", "6.9270", "6.9731", "7.0176", "7.0608", "7.1028", "7.1437", "7.1837", "7.2228", "7.2611", "7.2986", "7.3353", "7.3715", "7.4070", "7.4419", "7.4762", "7.5100", "7.5433", "7.5761", "7.6085", "7.6404", "7.6719", "7.7029", "7.7336", "7.7639", "7.7939", "7.8235", "7.8527", "7.8817", "7.9103", "7.9386", "7.9666", "8.0218", "8.0759", "8.1289", "8.1810", "8.2322", "8.2825", "8.3320", "8.3808", "8.4287", "8.4760", "8.5225", "8.5684", "8.6137", "8.6583", "8.7024", "8.7459", "8.7889", "8.8313", "8.8732", "8.9147", "8.9556", "8.9962", "9.0362", "9.0758", "9.1150", "9.3050", "9.4858", "9.6584", "9.8236", "9.9820", "10.134", "10.421", "10.688" ); "specific volume" = ( "cm3/g@L3/M", "0.99988", "0.99976", "1.00004", "1.00064", "1.00154", "1.00271", "1.00412", "1.00576", "1.00760", "1.00964", "1.01186", "1.01427", "1.01684", "1.01958", "1.02249", "1.02555", "1.02877", "1.03214", "1.03567", "1.03935", "1.04318", "1.04717", "1.05131", "1.05561", "1.06007", "1.06469", "1.06948", "1.07444", "1.07957", "1.08489", "1.09039", "1.09608", "1.10197", "295.21", "299.48", "303.69", "307.84", "311.95", "316.02", "320.06", "324.06", "331.99", "339.83", "347.59", "355.28", "362.92", "370.51", "378.06", "385.57", "393.05", "400.49", "407.92", "415.32", "422.70", "430.06", "437.40", "444.73", "452.04", "459.34", "466.63", "473.91", "481.18", "488.44", "495.69", "502.93", "510.17", "517.40", "524.62", "531.84", "539.05", "546.25", "560.65", "575.03", "589.40", "603.76", "618.10", "632.43", "646.75", "661.06", "675.37", "689.67", "703.96", "718.24", "732.52", "746.80", "761.07", "775.34", "789.60", "803.86", "818.12", "832.37", "846.62", "860.87", "875.12", "889.36", "903.60", "974.78", "1045.9", "1117.0", "1188.1", "1259.2", "1330.3", "1472.4", "1614.5" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.15", "1000.26", "999.99", "999.38", "998.48", "997.32", "995.92", "994.30", "992.48", "990.47", "988.30", "985.95", "983.46", "980.81", "978.03", "975.11", "972.06", "968.88", "965.58", "962.17", "958.63", "954.98", "951.22", "947.34", "943.36", "939.26", "935.06", "930.74", "926.32", "921.78", "917.14", "912.37", "907.50", "3.6654", "3.6118", "3.5607", "3.5118", "3.4647", "3.4193", "3.3756", "3.3333", "3.2527", "3.1768", "3.1052", "3.0374", "2.9729", "2.9116", "2.8531", "2.7972", "2.7437", "2.6924", "2.6432", "2.5959", "2.5504", "2.5066", "2.4643", "2.4236", "2.3843", "2.3462", "2.3095", "2.2739", "2.2395", "2.2061", "2.1738", "2.1424", "2.1120", "2.0824", "2.0537", "2.0258", "1.9986", "1.9722", "1.9215", "1.8734", "1.8277", "1.7842", "1.7427", "1.7032", "1.6655", "1.6294", "1.5948", "1.5617", "1.5300", "1.4996", "1.4703", "1.4422", "1.4151", "1.3891", "1.3640", "1.3398", "1.3164", "1.2939", "1.2721", "1.2510", "1.2307", "1.2109", "1.1919", "1.1048", "1.0296", "0.96408", "0.90639", "0.85522", "0.80953", "0.73140", "0.66703" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.67", "21.72", "42.70", "63.65", "84.57", "105.47", "126.37", "147.26", "168.15", "189.04", "209.93", "230.84", "251.75", "272.68", "293.61", "314.56", "335.53", "356.52", "377.53", "398.56", "419.62", "440.70", "461.82", "482.97", "504.16", "525.40", "546.67", "568.00", "589.38", "610.82", "632.32", "653.88", "675.52", "2762.9", "2775.4", "2787.5", "2799.4", "2811.1", "2822.6", "2834.0", "2845.3", "2867.5", "2889.5", "2911.2", "2932.7", "2954.0", "2975.2", "2996.4", "3017.5", "3038.5", "3059.4", "3080.4", "3101.3", "3122.3", "3143.2", "3164.2", "3185.1", "3206.1", "3227.1", "3248.1", "3269.2", "3290.3", "3311.5", "3332.7", "3353.9", "3375.2", "3396.5", "3417.9", "3439.3", "3460.8", "3482.3", "3525.6", "3569.0", "3612.8", "3656.7", "3700.9", "3745.4", "3790.1", "3835.1", "3880.3", "3925.8", "3971.6", "4017.7", "4064.0", "4110.6", "4157.5", "4204.6", "4252.0", "4299.7", "4347.6", "4395.8", "4444.3", "4493.0", "4542.0", "4591.3", "4640.8", "4892.1", "5149.4", "5412.3", "5680.4", "5953.3", "6230.5", "6796.9", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00011", "0.07624", "0.15102", "0.22436", "0.29634", "0.36704", "0.43654", "0.50489", "0.57213", "0.63832", "0.70349", "0.76768", "0.83093", "0.89327", "0.95473", "1.0153", "1.0751", "1.1342", "1.1924", "1.2499", "1.3067", "1.3629", "1.4184", "1.4732", "1.5275", "1.5811", "1.6342", "1.6868", "1.7389", "1.7904", "1.8416", "1.8922", "1.9425", "6.7074", "6.7357", "6.7629", "6.7893", "6.8149", "6.8399", "6.8644", "6.8884", "6.9349", "6.9799", "7.0234", "7.0658", "7.1070", "7.1472", "7.1865", "7.2249", "7.2625", "7.2995", "7.3357", "7.3713", "7.4063", "7.4407", "7.4746", "7.5080", "7.5409", "7.5733", "7.6053", "7.6368", "7.6679", "7.6986", "7.7290", "7.7590", "7.7886", "7.8179", "7.8469", "7.8755", "7.9038", "7.9319", "7.9871", "8.0412", "8.0943", "8.1465", "8.1977", "8.2480", "8.2976", "8.3463", "8.3943", "8.4415", "8.4881", "8.5340", "8.5793", "8.6239", "8.6680", "8.7115", "8.7545", "8.7970", "8.8389", "8.8804", "8.9213", "8.9618", "9.0019", "9.0415", "9.0807", "9.2707", "9.4516", "9.6242", "9.7894", "9.9478", "10.100", "10.387", "10.654" ); "specific volume" = ( "cm3/g@L3/M", "0.99985", "0.99974", "1.00001", "1.00062", "1.00152", "1.00269", "1.00410", "1.00574", "1.00758", "1.00962", "1.01184", "1.01425", "1.01682", "1.01956", "1.02246", "1.02553", "1.02874", "1.03212", "1.03564", "1.03932", "1.04316", "1.04714", "1.05128", "1.05558", "1.06004", "1.06467", "1.06945", "1.07441", "1.07954", "1.08485", "1.09035", "1.09604", "1.10193", "272.82", "276.87", "280.84", "284.76", "288.63", "292.45", "296.24", "300.00", "307.44", "314.78", "322.04", "329.23", "336.37", "343.45", "350.50", "357.50", "364.47", "371.42", "378.33", "385.23", "392.10", "398.95", "405.79", "412.61", "419.42", "426.21", "432.99", "439.77", "446.53", "453.28", "460.03", "466.76", "473.49", "480.21", "486.93", "493.64", "500.34", "507.04", "520.43", "533.79", "547.15", "560.49", "573.81", "587.13", "600.44", "613.74", "627.03", "640.31", "653.59", "666.86", "680.13", "693.39", "706.64", "719.90", "733.15", "746.39", "759.63", "772.87", "786.11", "799.34", "812.57", "825.80", "839.03", "905.14", "971.21", "1037.3", "1103.3", "1169.3", "1235.3", "1367.2", "1499.2" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.17", "1000.29", "1000.01", "999.41", "998.50", "997.34", "995.94", "994.32", "992.50", "990.50", "988.32", "985.98", "983.48", "980.84", "978.05", "975.13", "972.08", "968.90", "965.61", "962.19", "958.65", "955.00", "951.24", "947.37", "943.38", "939.29", "935.08", "930.77", "926.35", "921.81", "917.16", "912.40", "907.53", "902.54", "3.8874", "3.8311", "3.7774", "3.7258", "3.6763", "3.6285", "3.5824", "3.4947", "3.4123", "3.3346", "3.2611", "3.1913", "3.1250", "3.0618", "3.0014", "2.9437", "2.8884", "2.8353", "2.7844", "2.7354", "2.6882", "2.6427", "2.5989", "2.5566", "2.5157", "2.4762", "2.4380", "2.4010", "2.3651", "2.3304", "2.2967", "2.2640", "2.2322", "2.2014", "2.1714", "2.1423", "2.1139", "2.0595", "2.0078", "1.9588", "1.9121", "1.8676", "1.8252", "1.7848", "1.7461", "1.7090", "1.6735", "1.6395", "1.6069", "1.5755", "1.5454", "1.5164", "1.4884", "1.4615", "1.4356", "1.4105", "1.3864", "1.3630", "1.3404", "1.3186", "1.2975", "1.2770", "1.1837", "1.1032", "1.0329", "0.97112", "0.91630", "0.86734", "0.78363", "0.71466" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.72", "21.77", "42.75", "63.70", "84.62", "105.52", "126.41", "147.30", "168.19", "189.08", "209.98", "230.88", "251.79", "272.72", "293.65", "314.60", "335.57", "356.56", "377.57", "398.60", "419.65", "440.74", "461.86", "483.01", "504.20", "525.43", "546.71", "568.03", "589.41", "610.85", "632.35", "653.91", "675.55", "697.26", "2771.4", "2783.8", "2795.9", "2807.8", "2819.5", "2831.1", "2842.5", "2865.0", "2887.2", "2909.1", "2930.7", "2952.2", "2973.6", "2994.8", "3016.0", "3037.1", "3058.2", "3079.2", "3100.2", "3121.2", "3142.2", "3163.2", "3184.2", "3205.2", "3226.2", "3247.3", "3268.4", "3289.6", "3310.7", "3332.0", "3353.2", "3374.5", "3395.9", "3417.3", "3438.7", "3460.2", "3481.8", "3525.1", "3568.6", "3612.3", "3656.3", "3700.5", "3745.0", "3789.8", "3834.8", "3880.0", "3925.5", "3971.3", "4017.4", "4063.8", "4110.4", "4157.2", "4204.4", "4251.8", "4299.5", "4347.4", "4395.7", "4444.1", "4492.9", "4541.9", "4591.2", "4640.7", "4892.0", "5149.3", "5412.2", "5680.3", "5953.2", "6230.5", "6796.8", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00010", "0.07624", "0.15102", "0.22435", "0.29633", "0.36703", "0.43653", "0.50487", "0.57211", "0.63830", "0.70347", "0.76766", "0.83090", "0.89324", "0.95470", "1.0153", "1.0751", "1.1341", "1.1924", "1.2499", "1.3067", "1.3628", "1.4183", "1.4732", "1.5274", "1.5811", "1.6342", "1.6868", "1.7388", "1.7904", "1.8415", "1.8922", "1.9424", "1.9922", "6.6966", "6.7245", "6.7514", "6.7775", "6.8029", "6.8277", "6.8520", "6.8991", "6.9445", "6.9884", "7.0311", "7.0725", "7.1130", "7.1525", "7.1911", "7.2289", "7.2659", "7.3023", "7.3380", "7.3731", "7.4076", "7.4416", "7.4750", "7.5080", "7.5405", "7.5725", "7.6041", "7.6353", "7.6660", "7.6964", "7.7264", "7.7561", "7.7854", "7.8144", "7.8431", "7.8715", "7.8995", "7.9548", "8.0090", "8.0621", "8.1143", "8.1655", "8.2159", "8.2654", "8.3142", "8.3622", "8.4094", "8.4560", "8.5019", "8.5472", "8.5919", "8.6360", "8.6795", "8.7225", "8.7650", "8.8069", "8.8484", "8.8894", "8.9299", "8.9699", "9.0096", "9.0488", "9.2388", "9.4197", "9.5923", "9.7575", "9.9159", "10.068", "10.355", "10.622" ); "specific volume" = ( "cm3/g@L3/M", "0.99983", "0.99971", "0.99999", "1.00060", "1.00150", "1.00267", "1.00408", "1.00571", "1.00756", "1.00959", "1.01182", "1.01422", "1.01680", "1.01954", "1.02244", "1.02550", "1.02872", "1.03209", "1.03562", "1.03930", "1.04313", "1.04712", "1.05126", "1.05556", "1.06002", "1.06464", "1.06942", "1.07438", "1.07951", "1.08482", "1.09032", "1.09601", "1.10189", "1.10799", "257.24", "261.02", "264.74", "268.40", "272.02", "275.60", "279.14", "286.15", "293.06", "299.89", "306.65", "313.35", "320.00", "326.61", "333.17", "339.71", "346.21", "352.69", "359.15", "365.58", "372.00", "378.39", "384.78", "391.15", "397.50", "403.84", "410.18", "416.50", "422.81", "429.12", "435.41", "441.70", "447.99", "454.26", "460.53", "466.80", "473.06", "485.56", "498.05", "510.53", "522.99", "535.43", "547.87", "560.30", "572.72", "585.13", "597.54", "609.94", "622.33", "634.72", "647.10", "659.48", "671.85", "684.22", "696.59", "708.95", "721.31", "733.67", "746.02", "758.37", "770.72", "783.07", "844.78", "906.46", "968.11", "1029.7", "1091.3", "1152.9", "1276.1", "1399.3" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.20", "1000.31", "1000.04", "999.43", "998.53", "997.36", "995.96", "994.34", "992.52", "990.52", "988.34", "986.00", "983.50", "980.86", "978.07", "975.15", "972.10", "968.93", "965.63", "962.21", "958.68", "955.03", "951.27", "947.39", "943.41", "939.31", "935.11", "930.80", "926.37", "921.84", "917.19", "912.43", "907.56", "902.57", "897.46", "4.1041", "4.0453", "3.9891", "3.9351", "3.8832", "3.8332", "3.7381", "3.6489", "3.5650", "3.4857", "3.4106", "3.3392", "3.2712", "3.2063", "3.1443", "3.0849", "3.0280", "2.9733", "2.9207", "2.8702", "2.8215", "2.7745", "2.7292", "2.6855", "2.6432", "2.6022", "2.5626", "2.5243", "2.4871", "2.4511", "2.4161", "2.3822", "2.3492", "2.3171", "2.2860", "2.2557", "2.1975", "2.1423", "2.0899", "2.0401", "1.9926", "1.9473", "1.9041", "1.8628", "1.8232", "1.7854", "1.7490", "1.7142", "1.6807", "1.6486", "1.6176", "1.5878", "1.5591", "1.5314", "1.5047", "1.4789", "1.4540", "1.4299", "1.4066", "1.3840", "1.3622", "1.2627", "1.1767", "1.1018", "1.0359", "0.97737", "0.92515", "0.83585", "0.76229" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.77", "21.82", "42.80", "63.75", "84.66", "105.57", "126.46", "147.35", "168.24", "189.13", "210.02", "230.92", "251.84", "272.76", "293.69", "314.64", "335.61", "356.60", "377.60", "398.63", "419.69", "440.78", "461.89", "483.04", "504.23", "525.47", "546.74", "568.07", "589.45", "610.88", "632.38", "653.94", "675.58", "697.29", "719.09", "2780.0", "2792.4", "2804.6", "2816.5", "2828.2", "2839.7", "2862.5", "2884.9", "2907.0", "2928.8", "2950.4", "2971.9", "2993.3", "3014.5", "3035.7", "3056.9", "3078.0", "3099.0", "3120.1", "3141.1", "3162.2", "3183.2", "3204.3", "3225.4", "3246.5", "3267.6", "3288.8", "3310.0", "3331.3", "3352.6", "3373.9", "3395.3", "3416.7", "3438.2", "3459.7", "3481.3", "3524.6", "3568.1", "3611.9", "3655.9", "3700.1", "3744.6", "3789.4", "3834.4", "3879.7", "3925.3", "3971.1", "4017.2", "4063.5", "4110.1", "4157.0", "4204.2", "4251.6", "4299.3", "4347.2", "4395.5", "4444.0", "4492.7", "4541.7", "4591.0", "4640.5", "4891.9", "5149.2", "5412.2", "5680.3", "5953.2", "6230.5", "6796.8", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00010", "0.07624", "0.15101", "0.22434", "0.29632", "0.36702", "0.43651", "0.50485", "0.57209", "0.63828", "0.70344", "0.76763", "0.83088", "0.89321", "0.95467", "1.0153", "1.0751", "1.1341", "1.1923", "1.2499", "1.3067", "1.3628", "1.4183", "1.4731", "1.5274", "1.5810", "1.6341", "1.6867", "1.7388", "1.7903", "1.8414", "1.8921", "1.9423", "1.9922", "2.0416", "6.6879", "6.7154", "6.7420", "6.7679", "6.7930", "6.8176", "6.8653", "6.9111", "6.9554", "6.9984", "7.0401", "7.0808", "7.1205", "7.1593", "7.1973", "7.2345", "7.2710", "7.3068", "7.3420", "7.3766", "7.4106", "7.4441", "7.4772", "7.5097", "7.5418", "7.5734", "7.6046", "7.6355", "7.6659", "7.6960", "7.7257", "7.7550", "7.7840", "7.8127", "7.8411", "7.8692", "7.9245", "7.9787", "8.0319", "8.0841", "8.1354", "8.1858", "8.2353", "8.2841", "8.3321", "8.3794", "8.4260", "8.4720", "8.5173", "8.5619", "8.6061", "8.6496", "8.6926", "8.7351", "8.7770", "8.8185", "8.8595", "8.9000", "8.9400", "8.9797", "9.0189", "9.2089", "9.3898", "9.5625", "9.7277", "9.8861", "10.038", "10.325", "10.592" ); "specific volume" = ( "cm3/g@L3/M", "0.99980", "0.99969", "0.99996", "1.00057", "1.00148", "1.00264", "1.00406", "1.00569", "1.00753", "1.00957", "1.01180", "1.01420", "1.01678", "1.01952", "1.02242", "1.02548", "1.02870", "1.03207", "1.03559", "1.03927", "1.04310", "1.04709", "1.05123", "1.05553", "1.05999", "1.06461", "1.06939", "1.07435", "1.07948", "1.08479", "1.09028", "1.09597", "1.10186", "1.10795", "1.11426", "243.66", "247.20", "250.68", "254.12", "257.52", "260.88", "267.52", "274.05", "280.50", "286.88", "293.20", "299.47", "305.70", "311.89", "318.04", "324.16", "330.26", "336.33", "342.38", "348.41", "354.42", "360.42", "366.41", "372.38", "378.34", "384.28", "390.22", "396.15", "402.07", "407.98", "413.89", "419.79", "425.68", "431.57", "437.45", "443.32", "455.06", "466.78", "478.48", "490.17", "501.85", "513.52", "525.18", "536.83", "548.47", "560.11", "571.74", "583.36", "594.98", "606.59", "618.20", "629.81", "641.41", "653.00", "664.60", "676.19", "687.78", "699.36", "710.95", "722.53", "734.11", "791.97", "849.80", "907.60", "965.39", "1023.2", "1080.9", "1196.4", "1311.8" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.25", "1000.36", "1000.08", "999.48", "998.57", "997.41", "996.01", "994.39", "992.57", "990.56", "988.38", "986.04", "983.54", "980.90", "978.12", "975.20", "972.15", "968.97", "965.67", "962.26", "958.72", "955.08", "951.31", "947.44", "943.46", "939.36", "935.16", "930.85", "926.43", "921.89", "917.25", "912.49", "907.62", "902.63", "897.52", "892.29", "4.5888", "4.5224", "4.4590", "4.3983", "4.3399", "4.2294", "4.1262", "4.0293", "3.9380", "3.8517", "3.7699", "3.6921", "3.6179", "3.5472", "3.4795", "3.4146", "3.3524", "3.2927", "3.2353", "3.1800", "3.1267", "3.0753", "3.0257", "2.9778", "2.9314", "2.8866", "2.8432", "2.8011", "2.7604", "2.7208", "2.6825", "2.6452", "2.6090", "2.5738", "2.5396", "2.4739", "2.4116", "2.3525", "2.2963", "2.2427", "2.1917", "2.1429", "2.0964", "2.0518", "2.0091", "1.9682", "1.9289", "1.8912", "1.8550", "1.8201", "1.7866", "1.7542", "1.7230", "1.6930", "1.6639", "1.6359", "1.6088", "1.5825", "1.5571", "1.5326", "1.4205", "1.3238", "1.2395", "1.1653", "1.0995", "1.0408", "0.94029", "0.85754" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.87", "21.91", "42.90", "63.84", "84.76", "105.66", "126.55", "147.44", "168.32", "189.21", "210.11", "231.01", "251.92", "272.84", "293.78", "314.72", "335.69", "356.68", "377.68", "398.71", "419.77", "440.85", "461.97", "483.12", "504.30", "525.53", "546.81", "568.13", "589.51", "610.94", "632.44", "654.00", "675.64", "697.35", "719.14", "741.02", "2785.2", "2797.8", "2810.1", "2822.2", "2834.1", "2857.4", "2880.3", "2902.7", "2924.9", "2946.8", "2968.5", "2990.1", "3011.6", "3033.0", "3054.3", "3075.5", "3096.7", "3117.9", "3139.0", "3160.2", "3181.3", "3202.5", "3223.7", "3244.8", "3266.1", "3287.3", "3308.6", "3329.9", "3351.2", "3372.6", "3394.0", "3415.5", "3437.0", "3458.6", "3480.2", "3523.6", "3567.2", "3611.0", "3655.1", "3699.4", "3743.9", "3788.7", "3833.8", "3879.1", "3924.7", "3970.5", "4016.6", "4063.0", "4109.6", "4156.6", "4203.7", "4251.2", "4298.9", "4346.9", "4395.1", "4443.6", "4492.4", "4541.4", "4590.7", "4640.2", "4891.7", "5149.0", "5412.0", "5680.1", "5953.1", "6230.4", "6796.8", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00009", "0.07624", "0.15101", "0.22433", "0.29630", "0.36699", "0.43648", "0.50482", "0.57205", "0.63823", "0.70340", "0.76758", "0.83082", "0.89316", "0.95461", "1.0152", "1.0750", "1.1340", "1.1923", "1.2498", "1.3066", "1.3627", "1.4182", "1.4730", "1.5273", "1.5809", "1.6340", "1.6866", "1.7387", "1.7902", "1.8413", "1.8920", "1.9422", "1.9921", "2.0415", "2.0906", "6.6482", "6.6759", "6.7027", "6.7286", "6.7539", "6.8027", "6.8495", "6.8946", "6.9382", "6.9805", "7.0216", "7.0618", "7.1009", "7.1392", "7.1767", "7.2134", "7.2495", "7.2849", "7.3197", "7.3539", "7.3876", "7.4207", "7.4534", "7.4856", "7.5173", "7.5486", "7.5795", "7.6101", "7.6402", "7.6700", "7.6994", "7.7285", "7.7572", "7.7857", "7.8138", "7.8692", "7.9235", "7.9768", "8.0290", "8.0803", "8.1308", "8.1804", "8.2292", "8.2773", "8.3246", "8.3712", "8.4172", "8.4625", "8.5072", "8.5514", "8.5949", "8.6379", "8.6804", "8.7224", "8.7639", "8.8049", "8.8454", "8.8855", "8.9251", "8.9643", "9.1544", "9.3353", "9.5080", "9.6732", "9.8316", "9.9838", "10.271", "10.538" ); "specific volume" = ( "cm3/g@L3/M", "0.99975", "0.99964", "0.99992", "1.00053", "1.00143", "1.00260", "1.00401", "1.00565", "1.00749", "1.00953", "1.01175", "1.01416", "1.01673", "1.01947", "1.02237", "1.02543", "1.02865", "1.03202", "1.03555", "1.03922", "1.04305", "1.04704", "1.05118", "1.05547", "1.05993", "1.06455", "1.06933", "1.07429", "1.07942", "1.08472", "1.09022", "1.09590", "1.10179", "1.10788", "1.11418", "1.12072", "217.92", "221.12", "224.26", "227.36", "230.42", "236.44", "242.36", "248.18", "253.93", "259.62", "265.26", "270.85", "276.40", "281.92", "287.40", "292.86", "298.29", "303.70", "309.09", "314.47", "319.83", "325.17", "330.50", "335.82", "341.13", "346.43", "351.72", "357.00", "362.27", "367.53", "372.79", "378.04", "383.29", "388.53", "393.76", "404.22", "414.65", "425.08", "435.49", "445.88", "456.27", "466.65", "477.02", "487.38", "497.73", "508.08", "518.42", "528.76", "539.09", "549.41", "559.74", "570.05", "580.37", "590.68", "600.99", "611.30", "621.60", "631.90", "642.20", "652.50", "703.95", "755.37", "806.77", "858.14", "909.50", "960.84", "1063.5", "1166.1" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.30", "1000.41", "1000.13", "999.52", "998.62", "997.45", "996.05", "994.43", "992.61", "990.61", "988.43", "986.09", "983.59", "980.95", "978.16", "975.24", "972.19", "969.02", "965.72", "962.30", "958.77", "955.12", "951.36", "947.49", "943.51", "939.42", "935.21", "930.90", "926.48", "921.95", "917.31", "912.55", "907.68", "902.69", "897.58", "892.35", "5.1431", "5.0653", "4.9916", "4.9212", "4.8539", "4.7268", "4.6087", "4.4983", "4.3944", "4.2965", "4.2038", "4.1159", "4.0322", "3.9524", "3.8762", "3.8032", "3.7333", "3.6662", "3.6018", "3.5398", "3.4801", "3.4225", "3.3670", "3.3133", "3.2615", "3.2114", "3.1629", "3.1159", "3.0704", "3.0262", "2.9834", "2.9418", "2.9014", "2.8621", "2.8240", "2.7507", "2.6813", "2.6154", "2.5527", "2.4931", "2.4362", "2.3820", "2.3301", "2.2805", "2.2330", "2.1875", "2.1438", "2.1018", "2.0615", "2.0227", "1.9854", "1.9494", "1.9147", "1.8813", "1.8490", "1.8178", "1.7877", "1.7585", "1.7303", "1.7030", "1.5784", "1.4710", "1.3772", "1.2948", "1.2216", "1.1564", "1.0447", "0.95278" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "0.98", "22.01", "42.99", "63.94", "84.85", "105.75", "126.64", "147.53", "168.41", "189.30", "210.19", "231.09", "252.00", "272.92", "293.86", "314.81", "335.77", "356.75", "377.76", "398.79", "419.84", "440.92", "462.04", "483.19", "504.38", "525.60", "546.88", "568.20", "589.58", "611.01", "632.50", "654.06", "675.70", "697.41", "719.20", "741.08", "2777.4", "2790.7", "2803.5", "2816.0", "2828.3", "2852.2", "2875.5", "2898.4", "2920.9", "2943.1", "2965.1", "2986.9", "3008.6", "3030.2", "3051.6", "3073.0", "3094.4", "3115.7", "3136.9", "3158.2", "3179.4", "3200.7", "3221.9", "3243.2", "3264.5", "3285.8", "3307.1", "3328.5", "3349.9", "3371.3", "3392.8", "3414.3", "3435.8", "3457.4", "3479.1", "3522.6", "3566.2", "3610.1", "3654.2", "3698.6", "3743.2", "3788.0", "3833.1", "3878.5", "3924.1", "3970.0", "4016.1", "4062.5", "4109.2", "4156.1", "4203.3", "4250.8", "4298.5", "4346.5", "4394.8", "4443.3", "4492.1", "4541.1", "4590.4", "4639.9", "4891.4", "5148.9", "5411.9", "5680.0", "5953.0", "6230.3", "6796.7", "7376.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00009", "0.07624", "0.15100", "0.22431", "0.29628", "0.36697", "0.43645", "0.50478", "0.57202", "0.63819", "0.70335", "0.76753", "0.83077", "0.89310", "0.95455", "1.0152", "1.0750", "1.1340", "1.1922", "1.2497", "1.3065", "1.3626", "1.4181", "1.4729", "1.5272", "1.5808", "1.6339", "1.6865", "1.7386", "1.7901", "1.8412", "1.8919", "1.9421", "1.9919", "2.0414", "2.0905", "6.5857", "6.6148", "6.6427", "6.6695", "6.6955", "6.7456", "6.7934", "6.8393", "6.8836", "6.9265", "6.9681", "7.0087", "7.0482", "7.0868", "7.1246", "7.1616", "7.1979", "7.2335", "7.2685", "7.3029", "7.3367", "7.3700", "7.4028", "7.4351", "7.4669", "7.4984", "7.5294", "7.5600", "7.5902", "7.6200", "7.6495", "7.6786", "7.7075", "7.7360", "7.7641", "7.8196", "7.8740", "7.9273", "7.9796", "8.0310", "8.0815", "8.1312", "8.1800", "8.2281", "8.2755", "8.3221", "8.3681", "8.4135", "8.4582", "8.5024", "8.5460", "8.5890", "8.6315", "8.6735", "8.7150", "8.7560", "8.7965", "8.8366", "8.8763", "8.9155", "9.1056", "9.2866", "9.4593", "9.6245", "9.7830", "9.9351", "10.222", "10.489" ); "specific volume" = ( "cm3/g@L3/M", "0.99970", "0.99959", "0.99987", "1.00048", "1.00138", "1.00255", "1.00397", "1.00560", "1.00744", "1.00948", "1.01171", "1.01411", "1.01669", "1.01943", "1.02233", "1.02539", "1.02860", "1.03197", "1.03550", "1.03917", "1.04300", "1.04699", "1.05112", "1.05542", "1.05987", "1.06449", "1.06927", "1.07423", "1.07935", "1.08466", "1.09015", "1.09583", "1.10171", "1.10780", "1.11410", "1.12063", "194.44", "197.42", "200.34", "203.20", "206.02", "211.56", "216.98", "222.31", "227.56", "232.75", "237.88", "242.96", "248.01", "253.01", "257.99", "262.94", "267.86", "272.76", "277.64", "282.50", "287.35", "292.18", "297.00", "301.81", "306.61", "311.39", "316.17", "320.94", "325.69", "330.45", "335.19", "339.93", "344.66", "349.39", "354.11", "363.54", "372.95", "382.35", "391.74", "401.11", "410.47", "419.82", "429.16", "438.50", "447.83", "457.15", "466.47", "475.78", "485.08", "494.38", "503.68", "512.97", "522.26", "531.55", "540.83", "550.11", "559.39", "568.67", "577.94", "587.21", "633.54", "679.83", "726.10", "772.34", "818.57", "864.78", "957.19", "1049.6" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.35", "1000.46", "1000.18", "999.57", "998.66", "997.50", "996.09", "994.47", "992.65", "990.65", "988.47", "986.13", "983.63", "980.99", "978.21", "975.29", "972.24", "969.06", "965.77", "962.35", "958.82", "955.17", "951.41", "947.54", "943.56", "939.47", "935.27", "930.96", "926.53", "922.00", "917.36", "912.61", "907.74", "902.75", "897.65", "892.42", "887.06", "5.6189", "5.5336", "5.4527", "5.3755", "5.2308", "5.0968", "4.9720", "4.8551", "4.7450", "4.6411", "4.5426", "4.4490", "4.3600", "4.2750", "4.1937", "4.1160", "4.0414", "3.9698", "3.9009", "3.8347", "3.7709", "3.7093", "3.6499", "3.5925", "3.5370", "3.4833", "3.4314", "3.3810", "3.3322", "3.2848", "3.2389", "3.1943", "3.1509", "3.1088", "3.0279", "2.9513", "2.8786", "2.8095", "2.7437", "2.6810", "2.6212", "2.5640", "2.5094", "2.4570", "2.4069", "2.3587", "2.3125", "2.2681", "2.2254", "2.1843", "2.1447", "2.1065", "2.0697", "2.0341", "1.9998", "1.9666", "1.9345", "1.9035", "1.8734", "1.7363", "1.6181", "1.5149", "1.4242", "1.3438", "1.2719", "1.1492", "1.0480" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.08", "22.11", "43.09", "64.03", "84.95", "105.84", "126.73", "147.62", "168.50", "189.39", "210.28", "231.18", "252.09", "273.01", "293.94", "314.89", "335.85", "356.83", "377.84", "398.86", "419.92", "441.00", "462.11", "483.26", "504.45", "525.67", "546.95", "568.27", "589.64", "611.07", "632.56", "654.12", "675.75", "697.46", "719.25", "741.13", "763.10", "2783.2", "2796.6", "2809.6", "2822.3", "2846.8", "2870.7", "2894.0", "2916.8", "2939.4", "2961.7", "2983.7", "3005.6", "3027.4", "3049.0", "3070.5", "3092.0", "3113.4", "3134.8", "3156.2", "3177.5", "3198.9", "3220.2", "3241.5", "3262.9", "3284.3", "3305.6", "3327.1", "3348.5", "3370.0", "3391.5", "3413.1", "3434.7", "3456.3", "3478.0", "3521.5", "3565.3", "3609.2", "3653.4", "3697.8", "3742.4", "3787.3", "3832.5", "3877.8", "3923.5", "3969.4", "4015.6", "4062.0", "4108.7", "4155.6", "4202.9", "4250.3", "4298.1", "4346.1", "4394.4", "4442.9", "4491.7", "4540.8", "4590.1", "4639.7", "4891.2", "5148.7", "5411.7", "5679.9", "5952.9", "6230.2", "6796.7", "7376.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00008", "0.07623", "0.15099", "0.22430", "0.29626", "0.36694", "0.43642", "0.50475", "0.57198", "0.63815", "0.70330", "0.76748", "0.83072", "0.89305", "0.95449", "1.0151", "1.0749", "1.1339", "1.1921", "1.2496", "1.3064", "1.3626", "1.4180", "1.4729", "1.5271", "1.5807", "1.6338", "1.6864", "1.7384", "1.7900", "1.8411", "1.8918", "1.9420", "1.9918", "2.0413", "2.0904", "2.1391", "6.5576", "6.5868", "6.6146", "6.6415", "6.6929", "6.7417", "6.7885", "6.8335", "6.8770", "6.9192", "6.9602", "7.0001", "7.0391", "7.0772", "7.1144", "7.1509", "7.1868", "7.2219", "7.2565", "7.2905", "7.3239", "7.3568", "7.3892", "7.4212", "7.4527", "7.4838", "7.5145", "7.5448", "7.5747", "7.6042", "7.6335", "7.6623", "7.6909", "7.7191", "7.7747", "7.8291", "7.8825", "7.9349", "7.9864", "8.0369", "8.0866", "8.1355", "8.1836", "8.2310", "8.2777", "8.3237", "8.3691", "8.4139", "8.4581", "8.5017", "8.5447", "8.5872", "8.6292", "8.6707", "8.7117", "8.7523", "8.7924", "8.8321", "8.8713", "9.0615", "9.2425", "9.4152", "9.5805", "9.7389", "9.8911", "10.178", "10.445" ); "specific volume" = ( "cm3/g@L3/M", "0.99965", "0.99954", "0.99982", "1.00043", "1.00134", "1.00251", "1.00392", "1.00556", "1.00740", "1.00944", "1.01166", "1.01407", "1.01664", "1.01938", "1.02228", "1.02534", "1.02856", "1.03192", "1.03545", "1.03912", "1.04295", "1.04693", "1.05107", "1.05537", "1.05982", "1.06443", "1.06922", "1.07417", "1.07929", "1.08459", "1.09008", "1.09576", "1.10164", "1.10773", "1.11403", "1.12055", "1.12731", "177.97", "180.72", "183.40", "186.03", "191.18", "196.20", "201.13", "205.97", "210.75", "215.47", "220.14", "224.77", "229.36", "233.92", "238.45", "242.96", "247.44", "251.90", "256.35", "260.78", "265.19", "269.59", "273.98", "278.36", "282.72", "287.08", "291.43", "295.77", "300.10", "304.43", "308.75", "313.06", "317.37", "321.67", "330.26", "338.84", "347.40", "355.94", "364.47", "373.00", "381.51", "390.01", "398.51", "407.00", "415.48", "423.96", "432.43", "440.90", "449.36", "457.81", "466.27", "474.72", "483.17", "491.61", "500.05", "508.49", "516.93", "525.36", "533.79", "575.93", "618.02", "660.09", "702.14", "744.17", "786.19", "870.21", "954.19" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.40", "1000.51", "1000.23", "999.62", "998.71", "997.54", "996.14", "994.52", "992.70", "990.69", "988.51", "986.17", "983.68", "981.03", "978.25", "975.33", "972.28", "969.11", "965.81", "962.40", "958.86", "955.22", "951.46", "947.59", "943.61", "939.52", "935.32", "931.01", "926.59", "922.06", "917.42", "912.67", "907.80", "902.81", "897.71", "892.48", "887.13", "881.65", "6.0857", "5.9931", "5.9053", "5.7415", "5.5908", "5.4508", "5.3200", "5.1973", "5.0817", "4.9723", "4.8686", "4.7700", "4.6760", "4.5863", "4.5004", "4.4182", "4.3393", "4.2635", "4.1906", "4.1204", "4.0527", "3.9874", "3.9244", "3.8635", "3.8046", "3.7475", "3.6923", "3.6388", "3.5869", "3.5365", "3.4876", "3.4401", "3.3940", "3.3055", "3.2216", "3.1420", "3.0664", "2.9945", "2.9260", "2.8606", "2.7981", "2.7384", "2.6812", "2.6264", "2.5738", "2.5233", "2.4748", "2.4282", "2.3833", "2.3400", "2.2983", "2.2581", "2.2193", "2.1818", "2.1456", "2.1105", "2.0766", "2.0438", "1.8942", "1.7652", "1.6526", "1.5537", "1.4659", "1.3875", "1.2536", "1.1432" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.18", "22.21", "43.19", "64.13", "85.04", "105.94", "126.82", "147.71", "168.59", "189.48", "210.37", "231.26", "252.17", "273.09", "294.02", "314.97", "335.93", "356.91", "377.91", "398.94", "419.99", "441.07", "462.18", "483.33", "504.52", "525.74", "547.01", "568.33", "589.71", "611.13", "632.63", "654.18", "675.81", "697.52", "719.31", "741.18", "763.15", "785.23", "2789.4", "2803.0", "2816.1", "2841.3", "2865.7", "2889.5", "2912.7", "2935.6", "2958.2", "2980.5", "3002.6", "3024.5", "3046.3", "3068.0", "3089.6", "3111.2", "3132.7", "3154.2", "3175.6", "3197.0", "3218.4", "3239.9", "3261.3", "3282.7", "3304.2", "3325.7", "3347.2", "3368.7", "3390.3", "3411.9", "3433.5", "3455.2", "3476.9", "3520.5", "3564.3", "3608.3", "3652.6", "3697.0", "3741.7", "3786.6", "3831.8", "3877.2", "3922.9", "3968.8", "4015.0", "4061.5", "4108.2", "4155.2", "4202.4", "4249.9", "4297.7", "4345.7", "4394.0", "4442.6", "4491.4", "4540.5", "4589.8", "4639.4", "4891.0", "5148.5", "5411.5", "5679.8", "5952.8", "6230.1", "6796.6", "7376.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00008", "0.07623", "0.15098", "0.22428", "0.29623", "0.36692", "0.43639", "0.50471", "0.57194", "0.63811", "0.70326", "0.76743", "0.83067", "0.89299", "0.95444", "1.0150", "1.0748", "1.1338", "1.1921", "1.2496", "1.3064", "1.3625", "1.4179", "1.4728", "1.5270", "1.5806", "1.6337", "1.6863", "1.7383", "1.7899", "1.8410", "1.8916", "1.9419", "1.9917", "2.0411", "2.0902", "2.1390", "2.1874", "6.5340", "6.5631", "6.5909", "6.6437", "6.6937", "6.7414", "6.7872", "6.8313", "6.8740", "6.9155", "6.9558", "6.9951", "7.0335", "7.0710", "7.1078", "7.1438", "7.1792", "7.2139", "7.2480", "7.2816", "7.3147", "7.3472", "7.3793", "7.4109", "7.4421", "7.4728", "7.5032", "7.5332", "7.5628", "7.5921", "7.6210", "7.6496", "7.6779", "7.7336", "7.7881", "7.8416", "7.8940", "7.9455", "7.9961", "8.0459", "8.0948", "8.1430", "8.1904", "8.2371", "8.2832", "8.3286", "8.3734", "8.4176", "8.4612", "8.5042", "8.5468", "8.5888", "8.6303", "8.6713", "8.7119", "8.7520", "8.7917", "8.8310", "9.0212", "9.2022", "9.3749", "9.5402", "9.6987", "9.8508", "10.138", "10.405" ); "specific volume" = ( "cm3/g@L3/M", "0.99960", "0.99949", "0.99977", "1.00039", "1.00129", "1.00246", "1.00388", "1.00551", "1.00736", "1.00939", "1.01162", "1.01402", "1.01660", "1.01933", "1.02223", "1.02529", "1.02851", "1.03188", "1.03540", "1.03907", "1.04290", "1.04688", "1.05102", "1.05531", "1.05976", "1.06438", "1.06916", "1.07410", "1.07923", "1.08453", "1.09001", "1.09569", "1.10157", "1.10765", "1.11395", "1.12047", "1.12723", "1.13424", "164.32", "166.86", "169.34", "174.17", "178.87", "183.46", "187.97", "192.41", "196.79", "201.11", "205.40", "209.64", "213.86", "218.04", "222.20", "226.34", "230.45", "234.55", "238.63", "242.70", "246.75", "250.79", "254.82", "258.83", "262.84", "266.84", "270.83", "274.82", "278.79", "282.76", "286.73", "290.69", "294.64", "302.53", "310.41", "318.26", "326.11", "333.94", "341.77", "349.58", "357.39", "365.18", "372.97", "380.76", "388.53", "396.31", "404.07", "411.84", "419.59", "427.35", "435.10", "442.85", "450.59", "458.34", "466.08", "473.81", "481.55", "489.28", "527.92", "566.52", "605.09", "643.64", "682.18", "720.70", "797.72", "874.71" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.45", "1000.56", "1000.27", "999.66", "998.76", "997.59", "996.18", "994.56", "992.74", "990.74", "988.56", "986.22", "983.72", "981.08", "978.29", "975.38", "972.33", "969.15", "965.86", "962.44", "958.91", "955.27", "951.51", "947.64", "943.66", "939.57", "935.37", "931.06", "926.64", "922.12", "917.48", "912.72", "907.86", "902.87", "897.77", "892.55", "887.20", "881.72", "876.11", "6.5434", "6.4439", "6.2595", "6.0907", "5.9347", "5.7895", "5.6536", "5.5258", "5.4051", "5.2909", "5.1825", "5.0792", "4.9808", "4.8867", "4.7966", "4.7103", "4.6274", "4.5477", "4.4710", "4.3972", "4.3260", "4.2572", "4.1908", "4.1266", "4.0645", "4.0043", "3.9460", "3.8895", "3.8347", "3.7815", "3.7299", "3.6797", "3.5834", "3.4923", "3.4058", "3.3237", "3.2456", "3.1711", "3.1001", "3.0323", "2.9675", "2.9054", "2.8460", "2.7889", "2.7342", "2.6816", "2.6310", "2.5823", "2.5354", "2.4902", "2.4466", "2.4045", "2.3639", "2.3246", "2.2866", "2.2499", "2.2143", "2.0522", "1.9123", "1.7904", "1.6831", "1.5880", "1.5031", "1.3580", "1.2384" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.28", "22.31", "43.29", "64.22", "85.13", "106.03", "126.92", "147.80", "168.68", "189.56", "210.45", "231.35", "252.26", "273.17", "294.10", "315.05", "336.01", "356.99", "377.99", "399.02", "420.07", "441.15", "462.26", "483.40", "504.59", "525.81", "547.08", "568.40", "589.77", "611.20", "632.69", "654.24", "675.87", "697.57", "719.36", "741.23", "763.20", "785.27", "807.45", "2796.0", "2809.6", "2835.7", "2860.7", "2884.9", "2908.5", "2931.8", "2954.6", "2977.2", "2999.5", "3021.6", "3043.6", "3065.5", "3087.3", "3108.9", "3130.6", "3152.1", "3173.7", "3195.2", "3216.7", "3238.2", "3259.7", "3281.2", "3302.7", "3324.3", "3345.8", "3367.4", "3389.0", "3410.7", "3432.4", "3454.1", "3475.9", "3519.5", "3563.4", "3607.5", "3651.7", "3696.2", "3741.0", "3785.9", "3831.1", "3876.6", "3922.3", "3968.3", "4014.5", "4061.0", "4107.7", "4154.7", "4202.0", "4249.5", "4297.3", "4345.4", "4393.7", "4442.2", "4491.1", "4540.1", "4589.5", "4639.1", "4890.7", "5148.3", "5411.4", "5679.6", "5952.7", "6230.0", "6796.6", "7376.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00007", "0.07623", "0.15097", "0.22427", "0.29621", "0.36689", "0.43636", "0.50468", "0.57190", "0.63806", "0.70321", "0.76738", "0.83061", "0.89293", "0.95438", "1.0150", "1.0748", "1.1337", "1.1920", "1.2495", "1.3063", "1.3624", "1.4178", "1.4727", "1.5269", "1.5806", "1.6336", "1.6862", "1.7382", "1.7898", "1.8409", "1.8915", "1.9417", "1.9916", "2.0410", "2.0901", "2.1388", "2.1873", "2.2354", "6.5141", "6.5431", "6.5975", "6.6487", "6.6973", "6.7439", "6.7887", "6.8320", "6.8739", "6.9146", "6.9543", "6.9930", "7.0308", "7.0678", "7.1041", "7.1396", "7.1745", "7.2088", "7.2425", "7.2757", "7.3084", "7.3406", "7.3723", "7.4036", "7.4344", "7.4649", "7.4949", "7.5246", "7.5539", "7.5829", "7.6116", "7.6399", "7.6957", "7.7503", "7.8038", "7.8563", "7.9079", "7.9586", "8.0083", "8.0573", "8.1055", "8.1530", "8.1997", "8.2458", "8.2912", "8.3361", "8.3803", "8.4239", "8.4670", "8.5095", "8.5516", "8.5931", "8.6342", "8.6747", "8.7149", "8.7546", "8.7938", "8.9841", "9.1651", "9.3379", "9.5032", "9.6617", "9.8138", "10.101", "10.368" ); "specific volume" = ( "cm3/g@L3/M", "0.99955", "0.99945", "0.99973", "1.00034", "1.00125", "1.00242", "1.00383", "1.00547", "1.00731", "1.00935", "1.01157", "1.01398", "1.01655", "1.01929", "1.02219", "1.02525", "1.02846", "1.03183", "1.03535", "1.03902", "1.04285", "1.04683", "1.05096", "1.05526", "1.05971", "1.06432", "1.06910", "1.07404", "1.07916", "1.08446", "1.08995", "1.09562", "1.10150", "1.10757", "1.11387", "1.12039", "1.12714", "1.13415", "1.14141", "152.83", "155.19", "159.76", "164.18", "168.50", "172.73", "176.88", "180.97", "185.01", "189.00", "192.96", "196.88", "200.77", "204.64", "208.48", "212.30", "216.10", "219.89", "223.66", "227.42", "231.16", "234.90", "238.62", "242.33", "246.04", "249.73", "253.42", "257.10", "260.77", "264.44", "268.11", "271.76", "279.06", "286.35", "293.62", "300.87", "308.11", "315.34", "322.57", "329.78", "336.98", "344.18", "351.37", "358.56", "365.74", "372.92", "380.09", "387.25", "394.42", "401.58", "408.73", "415.89", "423.04", "430.18", "437.33", "444.47", "451.61", "487.29", "522.93", "558.55", "594.14", "629.72", "665.29", "736.39", "807.46" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.50", "1000.60", "1000.32", "999.71", "998.80", "997.63", "996.23", "994.61", "992.79", "990.78", "988.60", "986.26", "983.76", "981.12", "978.34", "975.42", "972.37", "969.20", "965.90", "962.49", "958.96", "955.31", "951.56", "947.69", "943.71", "939.62", "935.42", "931.11", "926.70", "922.17", "917.53", "912.78", "907.92", "902.93", "897.83", "892.61", "887.26", "881.79", "876.18", "870.43", "6.9918", "6.7850", "6.5970", "6.4241", "6.2637", "6.1139", "5.9735", "5.8411", "5.7160", "5.5975", "5.4847", "5.3773", "5.2748", "5.1767", "5.0828", "4.9927", "4.9062", "4.8229", "4.7427", "4.6655", "4.5909", "4.5190", "4.4494", "4.3821", "4.3170", "4.2539", "4.1928", "4.1335", "4.0759", "4.0201", "3.9658", "3.8617", "3.7633", "3.6699", "3.5812", "3.4969", "3.4165", "3.3399", "3.2667", "3.1968", "3.1298", "3.0657", "3.0042", "2.9451", "2.8884", "2.8339", "2.7814", "2.7308", "2.6821", "2.6351", "2.5898", "2.5459", "2.5036", "2.4627", "2.4231", "2.3848", "2.2101", "2.0594", "1.9281", "1.8125", "1.7101", "1.6187", "1.4624", "1.3336" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.38", "22.41", "43.38", "64.32", "85.23", "106.12", "127.01", "147.89", "168.77", "189.65", "210.54", "231.43", "252.34", "273.26", "294.18", "315.13", "336.09", "357.07", "378.07", "399.09", "420.14", "441.22", "462.33", "483.47", "504.66", "525.88", "547.15", "568.47", "589.83", "611.26", "632.75", "654.30", "675.93", "697.63", "719.42", "741.29", "763.25", "785.32", "807.50", "829.79", "2803.0", "2829.9", "2855.5", "2880.2", "2904.3", "2927.9", "2951.0", "2973.8", "2996.4", "3018.8", "3040.9", "3062.9", "3084.9", "3106.7", "3128.4", "3150.1", "3171.7", "3193.3", "3214.9", "3236.5", "3258.1", "3279.7", "3301.2", "3322.8", "3344.5", "3366.1", "3387.8", "3409.5", "3431.2", "3453.0", "3474.8", "3518.5", "3562.4", "3606.6", "3650.9", "3695.4", "3740.2", "3785.2", "3830.5", "3876.0", "3921.7", "3967.7", "4014.0", "4060.5", "4107.2", "4154.3", "4201.6", "4249.1", "4296.9", "4345.0", "4393.3", "4441.9", "4490.7", "4539.8", "4589.2", "4638.8", "4890.5", "5148.1", "5411.2", "5679.5", "5952.6", "6230.0", "6796.5", "7376.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00006", "0.07623", "0.15096", "0.22425", "0.29619", "0.36686", "0.43633", "0.50464", "0.57186", "0.63802", "0.70317", "0.76733", "0.83056", "0.89288", "0.95432", "1.0149", "1.0747", "1.1337", "1.1919", "1.2494", "1.3062", "1.3623", "1.4178", "1.4726", "1.5268", "1.5805", "1.6335", "1.6861", "1.7381", "1.7897", "1.8408", "1.8914", "1.9416", "1.9914", "2.0409", "2.0900", "2.1387", "2.1871", "2.2353", "2.2831", "6.4975", "6.5538", "6.6062", "6.6559", "6.7033", "6.7488", "6.7926", "6.8350", "6.8762", "6.9162", "6.9552", "6.9933", "7.0306", "7.0671", "7.1028", "7.1379", "7.1723", "7.2062", "7.2395", "7.2723", "7.3046", "7.3364", "7.3678", "7.3987", "7.4292", "7.4594", "7.4891", "7.5185", "7.5476", "7.5763", "7.6047", "7.6605", "7.7152", "7.7688", "7.8214", "7.8730", "7.9237", "7.9736", "8.0226", "8.0708", "8.1183", "8.1651", "8.2112", "8.2567", "8.3015", "8.3457", "8.3894", "8.4325", "8.4751", "8.5171", "8.5587", "8.5997", "8.6403", "8.6805", "8.7202", "8.7594", "8.9497", "9.1308", "9.3036", "9.4689", "9.6274", "9.7796", "10.067", "10.334" ); "specific volume" = ( "cm3/g@L3/M", "0.99950", "0.99940", "0.99968", "1.00029", "1.00120", "1.00237", "1.00379", "1.00542", "1.00727", "1.00931", "1.01153", "1.01393", "1.01650", "1.01924", "1.02214", "1.02520", "1.02841", "1.03178", "1.03530", "1.03897", "1.04280", "1.04678", "1.05091", "1.05520", "1.05965", "1.06426", "1.06904", "1.07398", "1.07910", "1.08440", "1.08988", "1.09555", "1.10142", "1.10750", "1.11379", "1.12031", "1.12706", "1.13406", "1.14132", "1.14886", "143.03", "147.38", "151.58", "155.66", "159.65", "163.56", "167.41", "171.20", "174.95", "178.65", "182.32", "185.97", "189.58", "193.17", "196.74", "200.29", "203.83", "207.34", "210.85", "214.34", "217.82", "221.29", "224.75", "228.20", "231.64", "235.08", "238.51", "241.93", "245.34", "248.75", "252.16", "258.95", "265.73", "272.49", "279.23", "285.97", "292.69", "299.41", "306.12", "312.81", "319.51", "326.19", "332.87", "339.54", "346.21", "352.87", "359.53", "366.19", "372.84", "379.49", "386.14", "392.78", "399.42", "406.06", "412.70", "419.33", "452.47", "485.58", "518.66", "551.72", "584.76", "617.79", "683.82", "749.82" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.55", "1000.65", "1000.37", "999.75", "998.85", "997.68", "996.27", "994.65", "992.83", "990.82", "988.64", "986.30", "983.81", "981.16", "978.38", "975.46", "972.42", "969.24", "965.95", "962.53", "959.00", "955.36", "951.60", "947.74", "943.76", "939.67", "935.47", "931.17", "926.75", "922.23", "917.59", "912.84", "907.98", "903.00", "897.90", "892.68", "887.33", "881.86", "876.25", "870.50", "7.5498", "7.3185", "7.1100", "6.9191", "6.7427", "6.5785", "6.4248", "6.2804", "6.1441", "6.0150", "5.8925", "5.7760", "5.6648", "5.5586", "5.4569", "5.3594", "5.2659", "5.1759", "5.0894", "5.0060", "4.9256", "4.8480", "4.7730", "4.7005", "4.6303", "4.5624", "4.4966", "4.4328", "4.3709", "4.3107", "4.2524", "4.1405", "4.0346", "3.9343", "3.8390", "3.7484", "3.6621", "3.5799", "3.5013", "3.4262", "3.3544", "3.2856", "3.2196", "3.1562", "3.0954", "3.0368", "2.9805", "2.9263", "2.8741", "2.8237", "2.7750", "2.7281", "2.6827", "2.6388", "2.5964", "2.5553", "2.3680", "2.2065", "2.0658", "1.9420", "1.8322", "1.7342", "1.5668", "1.4288" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.48", "22.51", "43.48", "64.41", "85.32", "106.21", "127.10", "147.98", "168.86", "189.74", "210.62", "231.52", "252.42", "273.34", "294.27", "315.21", "336.17", "357.15", "378.15", "399.17", "420.22", "441.29", "462.40", "483.55", "504.73", "525.95", "547.22", "568.53", "589.90", "611.33", "632.81", "654.36", "675.99", "697.69", "719.47", "741.34", "763.30", "785.37", "807.54", "829.83", "2796.0", "2823.9", "2850.2", "2875.5", "2900.0", "2923.9", "2947.4", "2970.5", "2993.3", "3015.8", "3038.2", "3060.4", "3082.4", "3104.4", "3126.2", "3148.0", "3169.8", "3191.5", "3213.2", "3234.8", "3256.5", "3278.1", "3299.8", "3321.4", "3343.1", "3364.8", "3386.5", "3408.3", "3430.0", "3451.8", "3473.7", "3517.5", "3561.5", "3605.7", "3650.1", "3694.7", "3739.5", "3784.5", "3829.8", "3875.4", "3921.1", "3967.2", "4013.4", "4060.0", "4106.8", "4153.8", "4201.1", "4248.7", "4296.5", "4344.6", "4392.9", "4441.5", "4490.4", "4539.5", "4588.9", "4638.5", "4890.3", "5147.9", "5411.1", "5679.4", "5952.5", "6229.9", "6796.5", "7376.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00006", "0.07623", "0.15095", "0.22424", "0.29617", "0.36684", "0.43630", "0.50461", "0.57182", "0.63798", "0.70312", "0.76728", "0.83051", "0.89282", "0.95426", "1.0148", "1.0746", "1.1336", "1.1918", "1.2493", "1.3061", "1.3622", "1.4177", "1.4725", "1.5267", "1.5804", "1.6334", "1.6860", "1.7380", "1.7896", "1.8407", "1.8913", "1.9415", "1.9913", "2.0407", "2.0898", "2.1386", "2.1870", "2.2351", "2.2830", "6.4536", "6.5120", "6.5659", "6.6166", "6.6649", "6.7111", "6.7555", "6.7984", "6.8400", "6.8804", "6.9198", "6.9582", "6.9957", "7.0324", "7.0683", "7.1036", "7.1382", "7.1722", "7.2057", "7.2386", "7.2710", "7.3029", "7.3343", "7.3654", "7.3960", "7.4262", "7.4560", "7.4855", "7.5146", "7.5433", "7.5718", "7.6277", "7.6825", "7.7362", "7.7888", "7.8405", "7.8912", "7.9411", "7.9902", "8.0385", "8.0860", "8.1328", "8.1789", "8.2244", "8.2693", "8.3135", "8.3572", "8.4003", "8.4429", "8.4850", "8.5266", "8.5676", "8.6082", "8.6484", "8.6881", "8.7274", "8.9177", "9.0988", "9.2716", "9.4370", "9.5955", "9.7477", "10.035", "10.302" ); "specific volume" = ( "cm3/g@L3/M", "0.99945", "0.99935", "0.99963", "1.00025", "1.00115", "1.00233", "1.00374", "1.00538", "1.00722", "1.00926", "1.01149", "1.01389", "1.01646", "1.01920", "1.02210", "1.02515", "1.02837", "1.03173", "1.03525", "1.03892", "1.04275", "1.04673", "1.05086", "1.05515", "1.05959", "1.06420", "1.06898", "1.07392", "1.07904", "1.08433", "1.08981", "1.09548", "1.10135", "1.10742", "1.11371", "1.12023", "1.12697", "1.13397", "1.14123", "1.14876", "132.45", "136.64", "140.65", "144.53", "148.31", "152.01", "155.65", "159.23", "162.76", "166.25", "169.71", "173.13", "176.53", "179.90", "183.25", "186.59", "189.90", "193.20", "196.49", "199.76", "203.02", "206.27", "209.51", "212.74", "215.97", "219.18", "222.39", "225.59", "228.79", "231.98", "235.16", "241.52", "247.85", "254.18", "260.48", "266.78", "273.07", "279.34", "285.61", "291.87", "298.12", "304.36", "310.60", "316.84", "323.06", "329.29", "335.51", "341.73", "347.94", "354.15", "360.36", "366.56", "372.76", "378.96", "385.16", "391.35", "422.29", "453.20", "484.08", "514.94", "545.79", "576.62", "638.26", "699.86" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.60", "1000.70", "1000.42", "999.80", "998.89", "997.72", "996.32", "994.69", "992.87", "990.87", "988.69", "986.35", "983.85", "981.21", "978.43", "975.51", "972.46", "969.29", "965.99", "962.58", "959.05", "955.41", "951.65", "947.78", "943.81", "939.72", "935.52", "931.22", "926.81", "922.28", "917.65", "912.90", "908.04", "903.06", "897.96", "892.74", "887.40", "881.93", "876.32", "870.58", "864.69", "7.8605", "7.6299", "7.4199", "7.2267", "7.0473", "6.8799", "6.7229", "6.5750", "6.4352", "6.3027", "6.1767", "6.0567", "5.9421", "5.8326", "5.7276", "5.6269", "5.5302", "5.4371", "5.3476", "5.2612", "5.1779", "5.0974", "5.0196", "4.9444", "4.8716", "4.8010", "4.7326", "4.6663", "4.6019", "4.5394", "4.4196", "4.3063", "4.1990", "4.0971", "4.0002", "3.9079", "3.8200", "3.7360", "3.6558", "3.5790", "3.5055", "3.4350", "3.3674", "3.3024", "3.2399", "3.1798", "3.1219", "3.0661", "3.0123", "2.9604", "2.9102", "2.8618", "2.8150", "2.7696", "2.7258", "2.5260", "2.3536", "2.2035", "2.0714", "1.9543", "1.8498", "1.6712", "1.5240" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.59", "22.61", "43.58", "64.51", "85.42", "106.31", "127.19", "148.07", "168.94", "189.82", "210.71", "231.60", "252.51", "273.42", "294.35", "315.29", "336.25", "357.23", "378.22", "399.24", "420.29", "441.37", "462.48", "483.62", "504.80", "526.02", "547.28", "568.60", "589.96", "611.39", "632.87", "654.42", "676.05", "697.74", "719.52", "741.39", "763.35", "785.42", "807.59", "829.88", "852.29", "2817.7", "2844.8", "2870.6", "2895.6", "2919.9", "2943.7", "2967.1", "2990.1", "3012.9", "3035.4", "3057.8", "3080.0", "3102.1", "3124.1", "3146.0", "3167.8", "3189.6", "3211.4", "3233.1", "3254.9", "3276.6", "3298.3", "3320.0", "3341.7", "3363.5", "3385.3", "3407.0", "3428.9", "3450.7", "3472.6", "3516.5", "3560.6", "3604.8", "3649.2", "3693.9", "3738.7", "3783.8", "3829.2", "3874.7", "3920.5", "3966.6", "4012.9", "4059.5", "4106.3", "4153.3", "4200.7", "4248.3", "4296.1", "4344.2", "4392.6", "4441.2", "4490.1", "4539.2", "4588.6", "4638.2", "4890.0", "5147.7", "5410.9", "5679.3", "5952.4", "6229.8", "6796.4", "7376.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00005", "0.07622", "0.15094", "0.22422", "0.29615", "0.36681", "0.43627", "0.50458", "0.57178", "0.63794", "0.70307", "0.76723", "0.83045", "0.89276", "0.95420", "1.0148", "1.0746", "1.1335", "1.1918", "1.2493", "1.3060", "1.3621", "1.4176", "1.4724", "1.5266", "1.5803", "1.6334", "1.6859", "1.7379", "1.7895", "1.8405", "1.8912", "1.9414", "1.9912", "2.0406", "2.0897", "2.1384", "2.1868", "2.2350", "2.2828", "2.3305", "6.4720", "6.5274", "6.5792", "6.6284", "6.6753", "6.7204", "6.7638", "6.8059", "6.8467", "6.8863", "6.9250", "6.9628", "6.9997", "7.0359", "7.0713", "7.1061", "7.1403", "7.1738", "7.2069", "7.2394", "7.2714", "7.3030", "7.3341", "7.3648", "7.3950", "7.4249", "7.4545", "7.4836", "7.5124", "7.5409", "7.5970", "7.6518", "7.7056", "7.7583", "7.8100", "7.8608", "7.9108", "7.9599", "8.0082", "8.0557", "8.1026", "8.1487", "8.1943", "8.2391", "8.2834", "8.3271", "8.3702", "8.4128", "8.4549", "8.4965", "8.5376", "8.5782", "8.6184", "8.6581", "8.6974", "8.8878", "9.0689", "9.2417", "9.4071", "9.5656", "9.7178", "10.005", "10.272" ); "specific volume" = ( "cm3/g@L3/M", "0.99940", "0.99930", "0.99958", "1.00020", "1.00111", "1.00228", "1.00370", "1.00533", "1.00718", "1.00922", "1.01144", "1.01384", "1.01641", "1.01915", "1.02205", "1.02511", "1.02832", "1.03168", "1.03520", "1.03887", "1.04270", "1.04667", "1.05080", "1.05509", "1.05954", "1.06415", "1.06892", "1.07386", "1.07898", "1.08427", "1.08975", "1.09541", "1.10128", "1.10735", "1.11364", "1.12014", "1.12689", "1.13388", "1.14113", "1.14866", "1.15648", "127.22", "131.06", "134.77", "138.38", "141.90", "145.35", "148.75", "152.09", "155.39", "158.66", "161.90", "165.11", "168.29", "171.45", "174.59", "177.72", "180.83", "183.92", "187.00", "190.07", "193.13", "196.18", "199.22", "202.25", "205.27", "208.29", "211.30", "214.30", "217.30", "220.29", "226.26", "232.22", "238.15", "244.08", "249.99", "255.89", "261.78", "267.66", "273.54", "279.40", "285.26", "291.12", "296.97", "302.81", "308.65", "314.49", "320.32", "326.15", "331.97", "337.80", "343.61", "349.43", "355.25", "361.06", "366.87", "395.89", "424.87", "453.83", "482.77", "511.69", "540.60", "598.39", "656.15" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.71", "1000.80", "1000.51", "999.89", "998.98", "997.81", "996.41", "994.78", "992.96", "990.95", "988.78", "986.43", "983.94", "981.30", "978.51", "975.60", "972.55", "969.38", "966.09", "962.67", "959.15", "955.50", "951.75", "947.88", "943.91", "939.82", "935.63", "931.33", "926.91", "922.39", "917.76", "913.01", "908.15", "903.18", "898.09", "892.87", "887.53", "882.06", "876.46", "870.73", "864.85", "8.9726", "8.6921", "8.4402", "8.2104", "7.9986", "7.8019", "7.6183", "7.4460", "7.2837", "7.1302", "6.9847", "6.8464", "6.7146", "6.5887", "6.4683", "6.3530", "6.2423", "6.1360", "6.0337", "5.9352", "5.8403", "5.7486", "5.6601", "5.5746", "5.4918", "5.4116", "5.3340", "5.2587", "5.1857", "5.1148", "4.9791", "4.8508", "4.7293", "4.6140", "4.5044", "4.4002", "4.3008", "4.2060", "4.1154", "4.0288", "3.9458", "3.8663", "3.7899", "3.7167", "3.6462", "3.5784", "3.5132", "3.4503", "3.3897", "3.3312", "3.2747", "3.2201", "3.1673", "3.1163", "3.0669", "2.8419", "2.6479", "2.4789", "2.3302", "2.1985", "2.0809", "1.8799", "1.7144" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.79", "22.81", "43.77", "64.70", "85.60", "106.49", "127.37", "148.25", "169.12", "190.00", "210.88", "231.77", "252.67", "273.59", "294.51", "315.45", "336.41", "357.38", "378.38", "399.40", "420.44", "441.52", "462.62", "483.76", "504.94", "526.16", "547.42", "568.73", "590.09", "611.52", "633.00", "654.54", "676.16", "697.86", "719.63", "741.50", "763.46", "785.51", "807.68", "829.96", "852.37", "2804.7", "2833.5", "2860.6", "2886.6", "2911.7", "2936.2", "2960.1", "2983.7", "3006.9", "3029.9", "3052.6", "3075.1", "3097.5", "3119.7", "3141.8", "3163.9", "3185.9", "3207.8", "3229.7", "3251.6", "3273.5", "3295.3", "3317.2", "3339.0", "3360.9", "3382.7", "3404.6", "3426.5", "3448.5", "3470.4", "3514.5", "3558.7", "3603.0", "3647.6", "3692.3", "3737.3", "3782.4", "3827.8", "3873.5", "3919.4", "3965.5", "4011.8", "4058.4", "4105.3", "4152.4", "4199.8", "4247.4", "4295.3", "4343.5", "4391.9", "4440.5", "4489.4", "4538.6", "4588.0", "4637.6", "4889.5", "5147.3", "5410.6", "5679.0", "5952.1", "6229.6", "6796.3", "7376.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00004", "0.07622", "0.15092", "0.22419", "0.29611", "0.36676", "0.43621", "0.50451", "0.57171", "0.63785", "0.70298", "0.76713", "0.83035", "0.89265", "0.95408", "1.0147", "1.0744", "1.1334", "1.1916", "1.2491", "1.3059", "1.3620", "1.4174", "1.4722", "1.5265", "1.5801", "1.6332", "1.6857", "1.7377", "1.7893", "1.8403", "1.8909", "1.9411", "1.9909", "2.0404", "2.0894", "2.1382", "2.1866", "2.2347", "2.2825", "2.3301", "6.3958", "6.4548", "6.5092", "6.5602", "6.6087", "6.6551", "6.6996", "6.7426", "6.7842", "6.8246", "6.8639", "6.9022", "6.9396", "6.9761", "7.0120", "7.0471", "7.0815", "7.1154", "7.1487", "7.1814", "7.2136", "7.2454", "7.2767", "7.3075", "7.3380", "7.3680", "7.3976", "7.4269", "7.4559", "7.4845", "7.5407", "7.5957", "7.6496", "7.7025", "7.7543", "7.8052", "7.8552", "7.9044", "7.9528", "8.0004", "8.0473", "8.0936", "8.1391", "8.1840", "8.2284", "8.2721", "8.3153", "8.3579", "8.4000", "8.4416", "8.4828", "8.5234", "8.5636", "8.6033", "8.6426", "8.8331", "9.0143", "9.1872", "9.3526", "9.5111", "9.6634", "9.9507", "10.218" ); "specific volume" = ( "cm3/g@L3/M", "0.99929", "0.99920", "0.99949", "1.00011", "1.00102", "1.00219", "1.00361", "1.00525", "1.00709", "1.00913", "1.01135", "1.01375", "1.01632", "1.01906", "1.02196", "1.02501", "1.02822", "1.03159", "1.03510", "1.03877", "1.04260", "1.04657", "1.05070", "1.05498", "1.05943", "1.06403", "1.06880", "1.07374", "1.07885", "1.08414", "1.08961", "1.09527", "1.10113", "1.10720", "1.11348", "1.11998", "1.12672", "1.13370", "1.14095", "1.14847", "1.15628", "111.45", "115.05", "118.48", "121.80", "125.02", "128.17", "131.26", "134.30", "137.29", "140.25", "143.17", "146.06", "148.93", "151.77", "154.60", "157.41", "160.20", "162.97", "165.73", "168.49", "171.22", "173.95", "176.67", "179.39", "182.09", "184.79", "187.48", "190.16", "192.84", "195.51", "200.84", "206.15", "211.45", "216.73", "222.00", "227.26", "232.51", "237.75", "242.99", "248.21", "253.43", "258.65", "263.86", "269.06", "274.26", "279.45", "284.64", "289.83", "295.02", "300.20", "305.37", "310.55", "315.72", "320.89", "326.06", "351.88", "377.66", "403.41", "429.15", "454.86", "480.57", "531.95", "583.30" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.81", "1000.90", "1000.61", "999.99", "999.08", "997.90", "996.49", "994.87", "993.05", "991.04", "988.86", "986.52", "984.02", "981.38", "978.60", "975.69", "972.64", "969.47", "966.18", "962.77", "959.24", "955.60", "951.84", "947.98", "944.01", "939.92", "935.73", "931.43", "927.02", "922.50", "917.87", "913.13", "908.27", "903.30", "898.21", "893.00", "887.67", "882.20", "876.61", "870.87", "865.00", "852.79", "9.7870", "9.4871", "9.2165", "8.9689", "8.7404", "8.5281", "8.3296", "8.1433", "7.9677", "7.8016", "7.6440", "7.4942", "7.3514", "7.2150", "7.0845", "6.9594", "6.8394", "6.7241", "6.6131", "6.5062", "6.4031", "6.3037", "6.2075", "6.1146", "6.0247", "5.9376", "5.8533", "5.7714", "5.6921", "5.5401", "5.3966", "5.2608", "5.1320", "5.0097", "4.8933", "4.7824", "4.6767", "4.5756", "4.4790", "4.3866", "4.2979", "4.2129", "4.1313", "4.0528", "3.9773", "3.9047", "3.8347", "3.7672", "3.7021", "3.6392", "3.5785", "3.5198", "3.4630", "3.4081", "3.1578", "2.9421", "2.7542", "2.5890", "2.4426", "2.3119", "2.0886", "1.9047" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "1.99", "23.01", "43.97", "64.89", "85.79", "106.68", "127.55", "148.43", "169.30", "190.17", "211.06", "231.94", "252.84", "273.75", "294.68", "315.61", "336.57", "357.54", "378.53", "399.55", "420.59", "441.66", "462.77", "483.90", "505.08", "526.29", "547.55", "568.86", "590.22", "611.64", "633.12", "654.67", "676.28", "697.97", "719.74", "741.60", "763.56", "785.61", "807.77", "830.05", "852.45", "897.66", "2821.6", "2850.2", "2877.2", "2903.2", "2928.5", "2953.1", "2977.1", "3000.8", "3024.2", "3047.3", "3070.1", "3092.8", "3115.3", "3137.7", "3159.9", "3182.1", "3204.2", "3226.3", "3248.3", "3270.3", "3292.3", "3314.3", "3336.3", "3358.2", "3380.2", "3402.2", "3424.2", "3446.2", "3468.2", "3512.4", "3556.7", "3601.2", "3645.9", "3690.7", "3735.8", "3781.0", "3826.5", "3872.2", "3918.2", "3964.3", "4010.8", "4057.4", "4104.3", "4151.5", "4198.9", "4246.6", "4294.5", "4342.7", "4391.1", "4439.8", "4488.7", "4537.9", "4587.4", "4637.0", "4889.1", "5147.0", "5410.3", "5678.8", "5951.9", "6229.5", "6796.2", "7376.5" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00003", "0.07622", "0.15091", "0.22416", "0.29607", "0.36671", "0.43615", "0.50444", "0.57163", "0.63776", "0.70289", "0.76704", "0.83024", "0.89254", "0.95396", "1.0145", "1.0743", "1.1333", "1.1915", "1.2490", "1.3057", "1.3618", "1.4173", "1.4721", "1.5263", "1.5799", "1.6330", "1.6855", "1.7375", "1.7890", "1.8401", "1.8907", "1.9409", "1.9907", "2.0401", "2.0892", "2.1379", "2.1863", "2.2344", "2.2822", "2.3298", "2.4244", "6.3867", "6.4440", "6.4973", "6.5475", "6.5952", "6.6409", "6.6849", "6.7273", "6.7684", "6.8083", "6.8472", "6.8851", "6.9221", "6.9583", "6.9937", "7.0285", "7.0627", "7.0962", "7.1292", "7.1616", "7.1935", "7.2250", "7.2560", "7.2866", "7.3168", "7.3466", "7.3760", "7.4050", "7.4337", "7.4901", "7.5453", "7.5994", "7.6523", "7.7043", "7.7553", "7.8054", "7.8547", "7.9032", "7.9509", "7.9978", "8.0441", "8.0897", "8.1347", "8.1790", "8.2228", "8.2660", "8.3087", "8.3509", "8.3925", "8.4336", "8.4743", "8.5145", "8.5543", "8.5936", "8.7842", "8.9654", "9.1384", "9.3038", "9.4624", "9.6146", "9.9020", "10.169" ); "specific volume" = ( "cm3/g@L3/M", "0.99919", "0.99910", "0.99939", "1.00001", "1.00093", "1.00210", "1.00352", "1.00516", "1.00700", "1.00904", "1.01126", "1.01366", "1.01623", "1.01897", "1.02187", "1.02492", "1.02813", "1.03149", "1.03501", "1.03867", "1.04249", "1.04647", "1.05059", "1.05487", "1.05931", "1.06392", "1.06868", "1.07362", "1.07872", "1.08401", "1.08948", "1.09513", "1.10099", "1.10705", "1.11332", "1.11982", "1.12655", "1.13353", "1.14076", "1.14827", "1.15607", "1.17262", "102.18", "105.41", "108.50", "111.50", "114.41", "117.26", "120.05", "122.80", "125.51", "128.18", "130.82", "133.44", "136.03", "138.60", "141.15", "143.69", "146.21", "148.72", "151.21", "153.70", "156.17", "158.64", "161.09", "163.54", "165.98", "168.42", "170.85", "173.27", "175.68", "180.50", "185.30", "190.09", "194.86", "199.61", "204.36", "209.10", "213.83", "218.55", "223.26", "227.97", "232.67", "237.37", "242.06", "246.74", "251.42", "256.10", "260.78", "265.45", "270.12", "274.78", "279.44", "284.11", "288.76", "293.42", "316.67", "339.89", "363.08", "386.25", "409.40", "432.54", "478.79", "525.01" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1000.91", "1001.00", "1000.70", "1000.08", "999.17", "997.99", "996.58", "994.96", "993.14", "991.13", "988.95", "986.61", "984.11", "981.47", "978.69", "975.77", "972.73", "969.56", "966.27", "962.86", "959.33", "955.69", "951.94", "948.08", "944.11", "940.02", "935.84", "931.54", "927.13", "922.61", "917.98", "913.25", "908.39", "903.42", "898.34", "893.13", "887.80", "882.34", "876.75", "871.02", "865.15", "852.96", "10.919", "10.563", "10.247", "9.9596", "9.6964", "9.4530", "9.2265", "9.0146", "8.8155", "8.6277", "8.4500", "8.2813", "8.1208", "7.9678", "7.8215", "7.6816", "7.5475", "7.4187", "7.2949", "7.1758", "7.0610", "6.9503", "6.8434", "6.7401", "6.6402", "6.5435", "6.4499", "6.3592", "6.2711", "6.1028", "5.9439", "5.7935", "5.6511", "5.5158", "5.3872", "5.2648", "5.1480", "5.0364", "4.9298", "4.8278", "4.7300", "4.6362", "4.5462", "4.4597", "4.3765", "4.2964", "4.2193", "4.1449", "4.0732", "4.0040", "3.9371", "3.8724", "3.8099", "3.7494", "3.4738", "3.2364", "3.0296", "2.8478", "2.6867", "2.5430", "2.2973", "2.0950" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "2.20", "23.21", "44.16", "65.08", "85.98", "106.86", "127.74", "148.60", "169.48", "190.35", "211.23", "232.11", "253.01", "273.92", "294.84", "315.77", "336.73", "357.70", "378.69", "399.70", "420.74", "441.81", "462.91", "484.05", "505.22", "526.43", "547.69", "569.00", "590.35", "611.77", "633.24", "654.79", "676.40", "698.08", "719.85", "741.71", "763.66", "785.71", "807.86", "830.14", "852.53", "897.73", "2809.0", "2839.2", "2867.5", "2894.5", "2920.5", "2945.8", "2970.5", "2994.6", "3018.4", "3041.9", "3065.1", "3088.0", "3110.8", "3133.4", "3155.9", "3178.3", "3200.6", "3222.9", "3245.1", "3267.2", "3289.3", "3311.4", "3333.5", "3355.6", "3377.6", "3399.7", "3421.8", "3443.9", "3466.0", "3510.4", "3554.8", "3599.4", "3644.2", "3689.2", "3734.3", "3779.6", "3825.2", "3871.0", "3917.0", "3963.2", "4009.7", "4056.4", "4103.4", "4150.6", "4198.1", "4245.8", "4293.7", "4341.9", "4390.4", "4439.1", "4488.1", "4537.3", "4586.8", "4636.5", "4888.6", "5146.6", "5410.0", "5678.5", "5951.7", "6229.3", "6796.1", "7376.5" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00001", "0.07621", "0.15089", "0.22413", "0.29603", "0.36666", "0.43608", "0.50437", "0.57155", "0.63768", "0.70280", "0.76694", "0.83013", "0.89243", "0.95384", "1.0144", "1.0742", "1.1331", "1.1913", "1.2488", "1.3056", "1.3617", "1.4171", "1.4719", "1.5261", "1.5797", "1.6328", "1.6853", "1.7373", "1.7888", "1.8399", "1.8905", "1.9407", "1.9905", "2.0399", "2.0889", "2.1376", "2.1860", "2.2341", "2.2819", "2.3295", "2.4240", "6.3218", "6.3826", "6.4383", "6.4903", "6.5396", "6.5866", "6.6316", "6.6749", "6.7167", "6.7573", "6.7967", "6.8351", "6.8726", "6.9092", "6.9450", "6.9801", "7.0145", "7.0483", "7.0815", "7.1142", "7.1463", "7.1780", "7.2091", "7.2399", "7.2702", "7.3001", "7.3296", "7.3588", "7.3876", "7.4442", "7.4996", "7.5538", "7.6069", "7.6589", "7.7100", "7.7603", "7.8096", "7.8581", "7.9059", "7.9529", "7.9993", "8.0449", "8.0900", "8.1344", "8.1782", "8.2214", "8.2641", "8.3063", "8.3480", "8.3892", "8.4299", "8.4701", "8.5099", "8.5492", "8.7399", "8.9212", "9.0942", "9.2596", "9.4182", "9.5705", "9.8580", "10.125" ); "specific volume" = ( "cm3/g@L3/M", "0.99909", "0.99900", "0.99930", "0.99992", "1.00083", "1.00201", "1.00343", "1.00507", "1.00691", "1.00895", "1.01117", "1.01357", "1.01614", "1.01888", "1.02177", "1.02483", "1.02804", "1.03140", "1.03491", "1.03857", "1.04239", "1.04636", "1.05049", "1.05477", "1.05920", "1.06380", "1.06856", "1.07349", "1.07860", "1.08388", "1.08934", "1.09500", "1.10085", "1.10690", "1.11317", "1.11966", "1.12638", "1.13335", "1.14058", "1.14808", "1.15587", "1.17239", "91.585", "94.667", "97.592", "100.41", "103.13", "105.79", "108.38", "110.93", "113.44", "115.91", "118.34", "120.75", "123.14", "125.51", "127.85", "130.18", "132.49", "134.79", "137.08", "139.36", "141.62", "143.88", "146.13", "148.37", "150.60", "152.82", "155.04", "157.25", "159.46", "163.86", "168.24", "172.61", "176.96", "181.30", "185.62", "189.94", "194.25", "198.55", "202.85", "207.13", "211.42", "215.69", "219.96", "224.23", "228.49", "232.75", "237.01", "241.26", "245.51", "249.75", "254.00", "258.24", "262.47", "266.71", "287.87", "308.98", "330.08", "351.15", "372.20", "393.24", "435.30", "477.33" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1001.06", "1001.14", "1000.85", "1000.22", "999.30", "998.13", "996.72", "995.09", "993.27", "991.26", "989.08", "986.74", "984.24", "981.60", "978.82", "975.91", "972.86", "969.69", "966.40", "963.00", "959.47", "955.83", "952.08", "948.22", "944.26", "940.18", "935.99", "931.70", "927.29", "922.78", "918.15", "913.42", "908.57", "903.61", "898.53", "893.32", "888.00", "882.54", "876.96", "871.24", "865.38", "853.20", "840.38", "12.240", "11.842", "11.487", "11.165", "10.871", "10.598", "10.344", "10.107", "9.8848", "9.6749", "9.4763", "9.2879", "9.1087", "8.9378", "8.7746", "8.6184", "8.4687", "8.3251", "8.1870", "8.0541", "7.9260", "7.8025", "7.6833", "7.5681", "7.4567", "7.3489", "7.2445", "7.1433", "6.9498", "6.7674", "6.5950", "6.4318", "6.2769", "6.1297", "5.9897", "5.8562", "5.7288", "5.6070", "5.4905", "5.3789", "5.2719", "5.1693", "5.0706", "4.9758", "4.8845", "4.7966", "4.7119", "4.6302", "4.5513", "4.4752", "4.4015", "4.3303", "4.2615", "3.9479", "3.6778", "3.4426", "3.2360", "3.0528", "2.8894", "2.6102", "2.3804" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "2.50", "23.50", "44.46", "65.37", "86.26", "107.14", "128.01", "148.87", "169.74", "190.61", "211.49", "232.37", "253.26", "274.17", "295.08", "316.02", "336.96", "357.93", "378.92", "399.93", "420.97", "442.03", "463.13", "484.26", "505.43", "526.64", "547.89", "569.20", "590.55", "611.96", "633.43", "654.97", "676.57", "698.25", "720.02", "741.87", "763.81", "785.85", "808.00", "830.27", "852.65", "897.83", "943.63", "2821.8", "2852.3", "2880.9", "2908.2", "2934.6", "2960.1", "2985.1", "3009.6", "3033.6", "3057.4", "3080.8", "3104.0", "3127.0", "3149.8", "3172.5", "3195.1", "3217.7", "3240.1", "3262.5", "3284.8", "3307.1", "3329.3", "3351.6", "3373.8", "3396.0", "3418.3", "3440.5", "3462.7", "3507.3", "3552.0", "3596.8", "3641.7", "3686.8", "3732.1", "3777.5", "3823.2", "3869.1", "3915.2", "3961.5", "4008.1", "4054.9", "4101.9", "4149.2", "4196.7", "4244.5", "4292.5", "4340.8", "4389.3", "4438.1", "4487.1", "4536.3", "4585.8", "4635.6", "4887.9", "5146.0", "5409.5", "5678.1", "5951.4", "6229.1", "6796.0", "7376.4" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00000", "0.07621", "0.15086", "0.22408", "0.29596", "0.36658", "0.43599", "0.50426", "0.57143", "0.63755", "0.70266", "0.76679", "0.82998", "0.89226", "0.95366", "1.0142", "1.0740", "1.1329", "1.1911", "1.2486", "1.3053", "1.3614", "1.4168", "1.4716", "1.5258", "1.5794", "1.6325", "1.6850", "1.7370", "1.7885", "1.8395", "1.8901", "1.9403", "1.9901", "2.0395", "2.0885", "2.1372", "2.1856", "2.2337", "2.2815", "2.3290", "2.4235", "2.5173", "6.2955", "6.3555", "6.4107", "6.4625", "6.5114", "6.5581", "6.6028", "6.6459", "6.6875", "6.7278", "6.7670", "6.8052", "6.8424", "6.8788", "6.9143", "6.9492", "6.9834", "7.0170", "7.0500", "7.0824", "7.1143", "7.1458", "7.1767", "7.2073", "7.2374", "7.2671", "7.2964", "7.3254", "7.3823", "7.4379", "7.4923", "7.5456", "7.5979", "7.6491", "7.6995", "7.7490", "7.7976", "7.8455", "7.8926", "7.9390", "7.9848", "8.0299", "8.0743", "8.1182", "8.1615", "8.2043", "8.2465", "8.2882", "8.3294", "8.3702", "8.4104", "8.4503", "8.4896", "8.6804", "8.8618", "9.0349", "9.2004", "9.3590", "9.5113", "9.7988", "10.066" ); "specific volume" = ( "cm3/g@L3/M", "0.99894", "0.99886", "0.99915", "0.99978", "1.00070", "1.00188", "1.00329", "1.00493", "1.00678", "1.00882", "1.01104", "1.01344", "1.01601", "1.01874", "1.02164", "1.02469", "1.02789", "1.03125", "1.03476", "1.03843", "1.04224", "1.04621", "1.05033", "1.05460", "1.05904", "1.06363", "1.06839", "1.07331", "1.07841", "1.08368", "1.08914", "1.09479", "1.10063", "1.10668", "1.11293", "1.11942", "1.12613", "1.13309", "1.14030", "1.14779", "1.15556", "1.17205", "1.18994", "81.702", "84.445", "87.053", "89.562", "91.992", "94.358", "96.670", "98.937", "101.17", "103.36", "105.53", "107.67", "109.79", "111.88", "113.97", "116.03", "118.08", "120.12", "122.15", "124.16", "126.17", "128.16", "130.15", "132.13", "134.11", "136.07", "138.04", "139.99", "143.89", "147.77", "151.63", "155.48", "159.31", "163.14", "166.95", "170.76", "174.56", "178.35", "182.13", "185.91", "189.68", "193.45", "197.21", "200.97", "204.73", "208.48", "212.23", "215.97", "219.72", "223.46", "227.19", "230.93", "234.66", "253.30", "271.90", "290.47", "309.03", "327.57", "346.09", "383.11", "420.11" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1001.31", "1001.39", "1001.08", "1000.45", "999.53", "998.35", "996.94", "995.31", "993.48", "991.48", "989.30", "986.95", "984.46", "981.82", "979.04", "976.13", "973.09", "969.92", "966.63", "963.23", "959.71", "956.07", "952.32", "948.47", "944.50", "940.43", "936.25", "931.96", "927.56", "923.05", "918.44", "913.71", "908.87", "903.91", "898.84", "893.65", "888.33", "882.89", "877.31", "871.61", "865.76", "853.61", "840.82", "827.32", "14.656", "14.159", "13.718", "13.322", "12.960", "12.627", "12.318", "12.031", "11.762", "11.508", "11.269", "11.043", "10.828", "10.623", "10.428", "10.241", "10.062", "9.8911", "9.7265", "9.5682", "9.4159", "9.2690", "9.1273", "8.9904", "8.8581", "8.7301", "8.6062", "8.3697", "8.1471", "7.9371", "7.7385", "7.5503", "7.3716", "7.2017", "7.0399", "6.8856", "6.7383", "6.5974", "6.4625", "6.3333", "6.2093", "6.0903", "5.9759", "5.8658", "5.7599", "5.6578", "5.5593", "5.4643", "5.3726", "5.2840", "5.1983", "5.1154", "4.7382", "4.4136", "4.1310", "3.8828", "3.6629", "3.4667", "3.1316", "2.8558" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "3.01", "24.00", "44.94", "65.85", "86.73", "107.60", "128.46", "149.32", "170.18", "191.05", "211.92", "232.79", "253.68", "274.58", "295.49", "316.42", "337.36", "358.32", "379.31", "400.31", "421.34", "442.40", "463.50", "484.62", "505.78", "526.99", "548.23", "569.53", "590.87", "612.28", "633.74", "655.27", "676.87", "698.54", "720.29", "742.13", "764.06", "786.09", "808.23", "830.48", "852.86", "898.01", "943.76", "990.23", "2824.5", "2856.5", "2886.4", "2914.9", "2942.2", "2968.6", "2994.3", "3019.5", "3044.2", "3068.4", "3092.4", "3116.1", "3139.5", "3162.8", "3185.9", "3208.8", "3231.7", "3254.4", "3277.1", "3299.7", "3322.3", "3344.8", "3367.3", "3389.8", "3412.3", "3434.8", "3457.2", "3502.2", "3547.2", "3592.3", "3637.5", "3682.8", "3728.3", "3774.0", "3819.9", "3866.0", "3912.2", "3958.7", "4005.4", "4052.4", "4099.5", "4146.9", "4194.6", "4242.4", "4290.5", "4338.9", "4387.5", "4436.3", "4485.4", "4534.8", "4584.3", "4634.1", "4886.7", "5145.0", "5408.8", "5677.5", "5950.9", "6228.7", "6795.8", "7376.3" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00003", "0.07619", "0.15081", "0.22400", "0.29586", "0.36645", "0.43584", "0.50409", "0.57124", "0.63734", "0.70243", "0.76654", "0.82971", "0.89198", "0.95336", "1.0139", "1.0736", "1.1326", "1.1908", "1.2482", "1.3050", "1.3610", "1.4164", "1.4712", "1.5254", "1.5790", "1.6320", "1.6845", "1.7365", "1.7880", "1.8390", "1.8896", "1.9397", "1.9895", "2.0388", "2.0878", "2.1365", "2.1849", "2.2329", "2.2807", "2.3282", "2.4227", "2.5164", "2.6097", "6.2274", "6.2893", "6.3459", "6.3987", "6.4486", "6.4959", "6.5412", "6.5847", "6.6266", "6.6672", "6.7066", "6.7449", "6.7823", "6.8187", "6.8544", "6.8892", "6.9234", "6.9570", "6.9900", "7.0224", "7.0542", "7.0856", "7.1165", "7.1470", "7.1770", "7.2066", "7.2359", "7.2933", "7.3493", "7.4041", "7.4577", "7.5103", "7.5618", "7.6124", "7.6621", "7.7109", "7.7590", "7.8062", "7.8528", "7.8987", "7.9439", "7.9885", "8.0325", "8.0759", "8.1187", "8.1610", "8.2028", "8.2441", "8.2849", "8.3252", "8.3651", "8.4045", "8.5955", "8.7770", "8.9502", "9.1158", "9.2745", "9.4269", "9.7145", "9.9818" ); "specific volume" = ( "cm3/g@L3/M", "0.99869", "0.99861", "0.99892", "0.99955", "1.00047", "1.00165", "1.00307", "1.00471", "1.00656", "1.00860", "1.01082", "1.01322", "1.01579", "1.01852", "1.02141", "1.02446", "1.02766", "1.03101", "1.03452", "1.03818", "1.04199", "1.04595", "1.05006", "1.05433", "1.05876", "1.06334", "1.06809", "1.07301", "1.07810", "1.08336", "1.08881", "1.09444", "1.10027", "1.10630", "1.11255", "1.11901", "1.12571", "1.13265", "1.13984", "1.14731", "1.15506", "1.17149", "1.18931", "1.20873", "68.230", "70.627", "72.895", "75.066", "77.162", "79.196", "81.179", "83.119", "85.022", "86.893", "88.737", "90.556", "92.355", "94.134", "95.897", "97.645", "99.379", "101.10", "102.81", "104.51", "106.20", "107.89", "109.56", "111.23", "112.89", "114.55", "116.20", "119.48", "122.74", "125.99", "129.22", "132.45", "135.66", "138.86", "142.05", "145.23", "148.41", "151.57", "154.74", "157.90", "161.05", "164.20", "167.34", "170.48", "173.62", "176.75", "179.88", "183.01", "186.13", "189.25", "192.37", "195.49", "211.05", "226.57", "242.07", "257.55", "273.01", "288.46", "319.32", "350.17" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1001.57", "1001.63", "1001.32", "1000.68", "999.76", "998.58", "997.16", "995.53", "993.70", "991.69", "989.51", "987.17", "984.68", "982.04", "979.26", "976.35", "973.31", "970.14", "966.86", "963.46", "959.94", "956.31", "952.56", "948.71", "944.75", "940.68", "936.51", "932.22", "927.83", "923.33", "918.72", "914.00", "909.16", "904.21", "899.15", "893.97", "888.66", "883.23", "877.67", "871.97", "866.13", "854.02", "841.26", "827.80", "813.53", "17.019", "16.424", "15.899", "15.428", "15.001", "14.609", "14.246", "13.909", "13.595", "13.299", "13.020", "12.757", "12.507", "12.269", "12.043", "11.826", "11.620", "11.421", "11.231", "11.048", "10.872", "10.703", "10.539", "10.381", "10.229", "10.081", "9.8001", "9.5360", "9.2871", "9.0521", "8.8297", "8.6189", "8.4185", "8.2279", "8.0463", "7.8729", "7.7073", "7.5488", "7.3970", "7.2515", "7.1118", "6.9776", "6.8486", "6.7244", "6.6048", "6.4895", "6.3782", "6.2708", "6.1671", "6.0668", "5.9698", "5.5288", "5.1494", "4.8193", "4.5294", "4.2728", "4.0438", "3.6528", "3.3310" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "3.51", "24.50", "45.43", "66.32", "87.20", "108.06", "128.92", "149.77", "170.63", "191.48", "212.35", "233.22", "254.10", "275.00", "295.90", "316.82", "337.76", "358.72", "379.69", "400.69", "421.72", "442.77", "463.86", "484.98", "506.14", "527.33", "548.57", "569.86", "591.20", "612.60", "634.05", "655.57", "677.16", "698.82", "720.57", "742.40", "764.32", "786.34", "808.46", "830.70", "853.06", "898.18", "943.90", "990.32", "1037.6", "2829.7", "2862.9", "2893.8", "2923.2", "2951.3", "2978.4", "3004.8", "3030.5", "3055.7", "3080.4", "3104.8", "3128.9", "3152.8", "3176.4", "3199.9", "3223.2", "3246.3", "3269.4", "3292.3", "3315.2", "3338.0", "3360.8", "3383.6", "3406.3", "3429.0", "3451.6", "3497.0", "3542.3", "3587.7", "3633.2", "3678.9", "3724.6", "3770.5", "3816.6", "3862.8", "3909.3", "3955.9", "4002.8", "4049.8", "4097.1", "4144.6", "4192.4", "4240.3", "4288.6", "4337.0", "4385.7", "4434.6", "4483.8", "4533.2", "4582.8", "4632.7", "4885.6", "5144.1", "5408.0", "5676.9", "5950.4", "6228.3", "6795.5", "7376.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00006", "0.07618", "0.15076", "0.22392", "0.29575", "0.36632", "0.43569", "0.50391", "0.57104", "0.63713", "0.70219", "0.76629", "0.82945", "0.89169", "0.95307", "1.0136", "1.0733", "1.1322", "1.1904", "1.2478", "1.3046", "1.3606", "1.4160", "1.4708", "1.5249", "1.5785", "1.6315", "1.6840", "1.7360", "1.7874", "1.8384", "1.8890", "1.9391", "1.9889", "2.0382", "2.0872", "2.1358", "2.1842", "2.2322", "2.2799", "2.3275", "2.4218", "2.5155", "2.6087", "2.7016", "6.1764", "6.2393", "6.2968", "6.3503", "6.4006", "6.4484", "6.4940", "6.5377", "6.5799", "6.6206", "6.6601", "6.6984", "6.7358", "6.7723", "6.8079", "6.8427", "6.8769", "6.9104", "6.9433", "6.9756", "7.0074", "7.0387", "7.0695", "7.0998", "7.1298", "7.1593", "7.2172", "7.2737", "7.3288", "7.3828", "7.4356", "7.4874", "7.5383", "7.5882", "7.6372", "7.6854", "7.7329", "7.7796", "7.8256", "7.8709", "7.9156", "7.9597", "8.0032", "8.0461", "8.0885", "8.1303", "8.1717", "8.2126", "8.2529", "8.2929", "8.3324", "8.5235", "8.7053", "8.8785", "9.0443", "9.2030", "9.3555", "9.6431", "9.9105" ); "specific volume" = ( "cm3/g@L3/M", "0.99844", "0.99837", "0.99868", "0.99932", "1.00024", "1.00143", "1.00285", "1.00449", "1.00634", "1.00838", "1.01060", "1.01300", "1.01556", "1.01829", "1.02118", "1.02423", "1.02742", "1.03078", "1.03428", "1.03793", "1.04173", "1.04569", "1.04980", "1.05406", "1.05848", "1.06306", "1.06780", "1.07271", "1.07778", "1.08304", "1.08847", "1.09410", "1.09991", "1.10593", "1.11216", "1.11861", "1.12529", "1.13221", "1.13938", "1.14683", "1.15456", "1.17094", "1.18869", "1.20803", "1.22921", "58.757", "60.888", "62.898", "64.817", "66.664", "68.453", "70.194", "71.894", "73.559", "75.194", "76.804", "78.390", "79.956", "81.505", "83.038", "84.556", "86.062", "87.556", "89.039", "90.513", "91.978", "93.435", "94.885", "96.328", "97.764", "99.195", "102.04", "104.87", "107.68", "110.47", "113.25", "116.02", "118.79", "121.54", "124.28", "127.02", "129.75", "132.47", "135.19", "137.90", "140.61", "143.32", "146.02", "148.71", "151.41", "154.10", "156.78", "159.47", "162.15", "164.83", "167.51", "180.87", "194.20", "207.50", "220.78", "234.04", "247.29", "273.76", "300.21" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1001.82", "1001.88", "1001.56", "1000.92", "999.99", "998.80", "997.38", "995.75", "993.92", "991.91", "989.73", "987.39", "984.89", "982.26", "979.48", "976.57", "973.53", "970.37", "967.09", "963.69", "960.17", "956.54", "952.80", "948.96", "945.00", "940.93", "936.76", "932.48", "928.10", "923.60", "919.00", "914.28", "909.46", "904.52", "899.46", "894.29", "888.99", "883.57", "878.02", "872.33", "866.51", "854.42", "841.70", "828.28", "814.06", "798.92", "19.314", "18.624", "18.019", "17.477", "16.987", "16.538", "16.123", "15.739", "15.380", "15.044", "14.727", "14.428", "14.144", "13.875", "13.618", "13.373", "13.139", "12.915", "12.700", "12.493", "12.295", "12.103", "11.919", "11.741", "11.568", "11.241", "10.934", "10.645", "10.373", "10.115", "9.8716", "9.6402", "9.4202", "9.2107", "9.0109", "8.8202", "8.6377", "8.4631", "8.2958", "8.1352", "7.9811", "7.8328", "7.6903", "7.5530", "7.4206", "7.2930", "7.1699", "7.0509", "6.9360", "6.8248", "6.3195", "5.8852", "5.5075", "5.1760", "4.8825", "4.6207", "4.1738", "3.8060" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "4.02", "24.99", "45.91", "66.80", "87.67", "108.52", "129.37", "150.22", "171.07", "191.92", "212.78", "233.64", "254.52", "275.41", "296.31", "317.23", "338.16", "359.11", "380.08", "401.08", "422.10", "443.15", "464.22", "485.34", "506.49", "527.68", "548.91", "570.19", "591.53", "612.91", "634.36", "655.87", "677.45", "699.11", "720.84", "742.66", "764.57", "786.58", "808.69", "830.92", "853.27", "898.35", "944.04", "990.42", "1037.6", "1085.8", "2837.1", "2871.2", "2902.9", "2933.0", "2961.7", "2989.4", "3016.3", "3042.5", "3068.1", "3093.3", "3118.1", "3142.6", "3166.8", "3190.7", "3214.5", "3238.1", "3261.5", "3284.8", "3308.0", "3331.2", "3354.2", "3377.2", "3400.2", "3423.1", "3446.0", "3491.8", "3537.5", "3583.2", "3629.0", "3674.9", "3720.9", "3767.0", "3813.2", "3859.7", "3906.3", "3953.1", "4000.1", "4047.3", "4094.7", "4142.3", "4190.2", "4238.3", "4286.6", "4335.1", "4383.9", "4432.9", "4482.1", "4531.6", "4581.3", "4631.2", "4884.4", "5143.1", "5407.2", "5676.3", "5949.9", "6227.9", "6795.3", "7376.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00009", "0.07617", "0.15072", "0.22385", "0.29564", "0.36619", "0.43553", "0.50374", "0.57085", "0.63691", "0.70196", "0.76604", "0.82918", "0.89141", "0.95277", "1.0133", "1.0730", "1.1319", "1.1900", "1.2475", "1.3042", "1.3602", "1.4156", "1.4703", "1.5245", "1.5780", "1.6310", "1.6835", "1.7354", "1.7869", "1.8379", "1.8884", "1.9385", "1.9882", "2.0376", "2.0865", "2.1352", "2.1835", "2.2315", "2.2792", "2.3267", "2.4210", "2.5146", "2.6077", "2.7005", "2.7935", "6.1383", "6.2016", "6.2595", "6.3133", "6.3639", "6.4118", "6.4576", "6.5014", "6.5435", "6.5843", "6.6238", "6.6621", "6.6994", "6.7358", "6.7714", "6.8061", "6.8402", "6.8736", "6.9064", "6.9386", "6.9703", "7.0015", "7.0321", "7.0624", "7.0922", "7.1506", "7.2075", "7.2631", "7.3174", "7.3705", "7.4226", "7.4737", "7.5238", "7.5730", "7.6214", "7.6690", "7.7159", "7.7620", "7.8074", "7.8523", "7.8964", "7.9400", "7.9830", "8.0255", "8.0674", "8.1088", "8.1498", "8.1902", "8.2302", "8.2697", "8.4611", "8.6430", "8.8164", "8.9822", "9.1411", "9.2935", "9.5813", "9.8487" ); "specific volume" = ( "cm3/g@L3/M", "0.99819", "0.99813", "0.99844", "0.99909", "1.00001", "1.00120", "1.00263", "1.00427", "1.00612", "1.00816", "1.01038", "1.01277", "1.01534", "1.01807", "1.02095", "1.02399", "1.02719", "1.03054", "1.03403", "1.03768", "1.04148", "1.04543", "1.04953", "1.05379", "1.05820", "1.06277", "1.06751", "1.07240", "1.07747", "1.08272", "1.08814", "1.09375", "1.09956", "1.10556", "1.11178", "1.11821", "1.12487", "1.13177", "1.13893", "1.14635", "1.15405", "1.17038", "1.18807", "1.20733", "1.22842", "1.25169", "51.777", "53.693", "55.497", "57.217", "58.870", "60.468", "62.021", "63.536", "65.019", "66.473", "67.903", "69.311", "70.701", "72.073", "73.431", "74.776", "76.108", "77.429", "78.741", "80.043", "81.337", "82.623", "83.902", "85.175", "86.442", "88.959", "91.457", "93.938", "96.405", "98.859", "101.30", "103.73", "106.16", "108.57", "110.98", "113.38", "115.77", "118.16", "120.54", "122.92", "125.30", "127.67", "130.03", "132.40", "134.76", "137.12", "139.47", "141.83", "144.18", "146.52", "158.24", "169.92", "181.57", "193.20", "204.81", "216.42", "239.59", "262.74" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1002.07", "1002.12", "1001.79", "1001.15", "1000.21", "999.02", "997.60", "995.97", "994.14", "992.13", "989.95", "987.60", "985.11", "982.47", "979.70", "976.79", "973.75", "970.59", "967.31", "963.91", "960.40", "956.78", "953.04", "949.20", "945.25", "941.19", "937.02", "932.75", "928.36", "923.88", "919.28", "914.57", "909.75", "904.82", "899.77", "894.61", "889.32", "883.91", "878.37", "872.70", "866.89", "854.83", "842.14", "828.75", "814.58", "799.51", "22.435", "21.528", "20.753", "20.072", "19.464", "18.913", "18.410", "17.947", "17.517", "17.117", "16.741", "16.388", "16.054", "15.739", "15.439", "15.153", "14.881", "14.621", "14.372", "14.133", "13.904", "13.683", "13.471", "13.266", "13.068", "12.693", "12.342", "12.012", "11.701", "11.407", "11.130", "10.867", "10.617", "10.379", "10.152", "9.9360", "9.7294", "9.5316", "9.3422", "9.1605", "8.9861", "8.8186", "8.6574", "8.5023", "8.3528", "8.2087", "8.0697", "7.9355", "7.8057", "7.6803", "7.1106", "6.6211", "6.1957", "5.8224", "5.4920", "5.1974", "4.6945", "4.2808" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "4.53", "25.49", "46.40", "67.28", "88.14", "108.99", "129.83", "150.67", "171.51", "192.36", "213.21", "234.07", "254.94", "275.82", "296.72", "317.63", "338.56", "359.50", "380.47", "401.46", "422.47", "443.52", "464.59", "485.70", "506.84", "528.02", "549.25", "570.53", "591.85", "613.23", "634.67", "656.18", "677.75", "699.39", "721.12", "742.93", "764.83", "786.83", "808.93", "831.14", "853.47", "898.53", "944.18", "990.52", "1037.7", "1085.8", "2808.6", "2846.7", "2881.3", "2913.6", "2944.2", "2973.4", "3001.6", "3028.9", "3055.5", "3081.5", "3107.0", "3132.1", "3156.9", "3181.4", "3205.6", "3229.7", "3253.5", "3277.2", "3300.8", "3324.2", "3347.6", "3370.9", "3394.1", "3417.2", "3440.4", "3486.5", "3532.6", "3578.6", "3624.7", "3670.9", "3717.1", "3763.4", "3809.9", "3856.5", "3903.3", "3950.2", "3997.4", "4044.7", "4092.3", "4140.0", "4188.0", "4236.2", "4284.6", "4333.2", "4382.1", "4431.1", "4480.5", "4530.0", "4579.8", "4629.8", "4883.2", "5142.2", "5406.4", "5675.6", "5949.4", "6227.5", "6795.0", "7375.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00011", "0.07615", "0.15067", "0.22377", "0.29554", "0.36605", "0.43538", "0.50356", "0.57066", "0.63670", "0.70173", "0.76579", "0.82892", "0.89113", "0.95247", "1.0130", "1.0727", "1.1315", "1.1897", "1.2471", "1.3038", "1.3598", "1.4152", "1.4699", "1.5240", "1.5776", "1.6305", "1.6830", "1.7349", "1.7864", "1.8373", "1.8879", "1.9379", "1.9876", "2.0369", "2.0859", "2.1345", "2.1827", "2.2307", "2.2784", "2.3259", "2.4201", "2.5136", "2.6067", "2.6994", "2.7922", "6.0397", "6.1105", "6.1737", "6.2316", "6.2854", "6.3359", "6.3838", "6.4295", "6.4732", "6.5153", "6.5560", "6.5953", "6.6336", "6.6708", "6.7070", "6.7425", "6.7771", "6.8111", "6.8443", "6.8770", "6.9091", "6.9406", "6.9716", "7.0022", "7.0323", "7.0912", "7.1486", "7.2046", "7.2592", "7.3127", "7.3650", "7.4163", "7.4666", "7.5161", "7.5646", "7.6124", "7.6594", "7.7057", "7.7512", "7.7962", "7.8404", "7.8841", "7.9272", "7.9698", "8.0118", "8.0533", "8.0942", "8.1348", "8.1748", "8.2144", "8.4060", "8.5880", "8.7615", "8.9274", "9.0863", "9.2389", "9.5267", "9.7942" ); "specific volume" = ( "cm3/g@L3/M", "0.99793", "0.99789", "0.99821", "0.99885", "0.99979", "1.00098", "1.00240", "1.00405", "1.00590", "1.00794", "1.01016", "1.01255", "1.01511", "1.01784", "1.02072", "1.02376", "1.02696", "1.03030", "1.03379", "1.03744", "1.04123", "1.04517", "1.04927", "1.05352", "1.05793", "1.06249", "1.06721", "1.07210", "1.07716", "1.08240", "1.08781", "1.09341", "1.09920", "1.10519", "1.11139", "1.11781", "1.12445", "1.13134", "1.13847", "1.14587", "1.15355", "1.16983", "1.18745", "1.20663", "1.22763", "1.25077", "44.572", "46.451", "48.186", "49.821", "51.378", "52.873", "54.317", "55.720", "57.087", "58.423", "59.733", "61.021", "62.288", "63.538", "64.772", "65.991", "67.199", "68.394", "69.580", "70.756", "71.924", "73.083", "74.236", "75.381", "76.521", "78.784", "81.027", "83.253", "85.464", "87.662", "89.848", "92.024", "94.191", "96.349", "98.500", "100.64", "102.78", "104.91", "107.04", "109.16", "111.28", "113.40", "115.51", "117.62", "119.72", "121.82", "123.92", "126.02", "128.11", "130.20", "140.64", "151.03", "161.40", "171.75", "182.08", "192.40", "213.01", "233.60" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1002.32", "1002.36", "1002.03", "1001.38", "1000.44", "999.25", "997.82", "996.19", "994.36", "992.34", "990.16", "987.82", "985.33", "982.69", "979.92", "977.01", "973.97", "970.82", "967.54", "964.14", "960.63", "957.01", "953.28", "949.44", "945.49", "941.44", "937.28", "933.01", "928.63", "924.15", "919.56", "914.86", "910.05", "905.12", "900.08", "894.93", "889.65", "884.25", "878.72", "873.06", "867.26", "855.23", "842.58", "829.23", "815.10", "800.09", "784.03", "24.651", "23.655", "22.802", "22.053", "21.383", "20.777", "20.224", "19.714", "19.242", "18.802", "18.390", "18.002", "17.636", "17.290", "16.961", "16.648", "16.350", "16.065", "15.792", "15.530", "15.279", "15.038", "14.805", "14.581", "14.156", "13.759", "13.386", "13.036", "12.706", "12.394", "12.098", "11.818", "11.551", "11.297", "11.055", "10.824", "10.602", "10.391", "10.188", "9.9929", "9.8058", "9.6259", "9.4528", "9.2861", "9.1254", "8.9703", "8.8207", "8.6761", "8.5364", "7.9018", "7.3571", "6.8838", "6.4687", "6.1014", "5.7739", "5.2151", "4.7554" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "5.03", "25.98", "46.88", "67.75", "88.61", "109.45", "130.28", "151.12", "171.95", "192.79", "213.64", "234.49", "255.36", "276.24", "297.13", "318.03", "338.95", "359.90", "380.86", "401.84", "422.85", "443.89", "464.95", "486.06", "507.19", "528.37", "549.59", "570.86", "592.18", "613.55", "634.98", "656.48", "678.04", "699.68", "721.40", "743.19", "765.08", "787.07", "809.16", "831.36", "853.68", "898.71", "944.32", "990.62", "1037.7", "1085.7", "1134.9", "2819.8", "2858.1", "2893.0", "2925.7", "2956.6", "2986.2", "3014.7", "3042.4", "3069.3", "3095.6", "3121.5", "3146.9", "3171.9", "3196.7", "3221.2", "3245.4", "3269.5", "3293.4", "3317.2", "3340.9", "3364.4", "3387.9", "3411.3", "3434.7", "3481.2", "3527.7", "3574.1", "3620.4", "3666.8", "3713.3", "3759.9", "3806.5", "3853.3", "3900.3", "3947.4", "3994.7", "4042.2", "4089.8", "4137.7", "4185.8", "4234.1", "4282.6", "4331.3", "4380.2", "4429.4", "4478.8", "4528.4", "4578.3", "4628.3", "4882.0", "5141.2", "5405.7", "5675.0", "5948.9", "6227.1", "6794.8", "7375.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00014", "0.07614", "0.15062", "0.22369", "0.29543", "0.36592", "0.43522", "0.50339", "0.57046", "0.63649", "0.70150", "0.76555", "0.82865", "0.89085", "0.95218", "1.0127", "1.0723", "1.1312", "1.1893", "1.2467", "1.3034", "1.3594", "1.4147", "1.4695", "1.5236", "1.5771", "1.6301", "1.6825", "1.7344", "1.7858", "1.8368", "1.8873", "1.9374", "1.9870", "2.0363", "2.0852", "2.1338", "2.1821", "2.2300", "2.2777", "2.3251", "2.4193", "2.5127", "2.6057", "2.6983", "2.7910", "2.8841", "6.0211", "6.0909", "6.1536", "6.2110", "6.2646", "6.3149", "6.3626", "6.4080", "6.4516", "6.4935", "6.5340", "6.5732", "6.6112", "6.6483", "6.6844", "6.7196", "6.7541", "6.7879", "6.8210", "6.8535", "6.8854", "6.9168", "6.9477", "6.9781", "7.0375", "7.0954", "7.1517", "7.2067", "7.2605", "7.3131", "7.3647", "7.4152", "7.4649", "7.5136", "7.5615", "7.6087", "7.6551", "7.7008", "7.7458", "7.7902", "7.8340", "7.8771", "7.9198", "7.9618", "8.0034", "8.0445", "8.0850", "8.1251", "8.1648", "8.3566", "8.5388", "8.7124", "8.8784", "9.0374", "9.1900", "9.4779", "9.7454" ); "specific volume" = ( "cm3/g@L3/M", "0.99768", "0.99764", "0.99797", "0.99862", "0.99956", "1.00075", "1.00218", "1.00383", "1.00568", "1.00772", "1.00994", "1.01233", "1.01489", "1.01762", "1.02050", "1.02353", "1.02672", "1.03006", "1.03355", "1.03719", "1.04098", "1.04492", "1.04901", "1.05325", "1.05765", "1.06220", "1.06692", "1.07180", "1.07685", "1.08208", "1.08748", "1.09307", "1.09885", "1.10482", "1.11101", "1.11741", "1.12404", "1.13091", "1.13802", "1.14540", "1.15306", "1.16928", "1.18684", "1.20594", "1.22684", "1.24987", "1.27547", "40.567", "42.274", "43.856", "45.346", "46.766", "48.130", "49.446", "50.724", "51.969", "53.186", "54.378", "55.549", "56.702", "57.837", "58.958", "60.066", "61.162", "62.248", "63.323", "64.390", "65.449", "66.500", "67.545", "68.583", "70.642", "72.681", "74.703", "76.710", "78.704", "80.685", "82.657", "84.619", "86.572", "88.518", "90.457", "92.390", "94.318", "96.240", "98.158", "100.07", "101.98", "103.89", "105.79", "107.69", "109.58", "111.48", "113.37", "115.26", "117.15", "126.55", "135.92", "145.27", "154.59", "163.90", "173.19", "191.75", "210.29" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1002.57", "1002.61", "1002.27", "1001.61", "1000.67", "999.47", "998.04", "996.40", "994.57", "992.56", "990.38", "988.04", "985.54", "982.91", "980.13", "977.23", "974.19", "971.04", "967.76", "964.37", "960.87", "957.25", "953.52", "949.68", "945.74", "941.69", "937.53", "933.27", "928.90", "924.42", "919.84", "915.14", "910.34", "905.42", "900.39", "895.24", "889.98", "884.58", "879.07", "873.42", "867.63", "855.63", "843.01", "829.70", "815.62", "800.66", "784.67", "28.052", "26.762", "25.691", "24.769", "23.958", "23.233", "22.576", "21.977", "21.425", "20.913", "20.436", "19.989", "19.569", "19.173", "18.797", "18.441", "18.102", "17.779", "17.471", "17.175", "16.892", "16.620", "16.358", "16.107", "15.630", "15.185", "14.769", "14.379", "14.011", "13.663", "13.335", "13.023", "12.727", "12.445", "12.177", "11.921", "11.676", "11.441", "11.217", "11.001", "10.795", "10.596", "10.404", "10.220", "10.043", "9.8718", "9.7066", "9.5471", "9.3930", "8.6933", "8.0931", "7.5719", "7.1148", "6.7106", "6.3502", "5.7354", "5.2298" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "5.54", "26.48", "47.37", "68.23", "89.08", "109.91", "130.74", "151.56", "172.39", "193.23", "214.07", "234.92", "255.78", "276.65", "297.54", "318.44", "339.35", "360.29", "381.24", "402.22", "423.23", "444.26", "465.32", "486.41", "507.55", "528.72", "549.93", "571.19", "592.50", "613.87", "635.29", "656.78", "678.34", "699.97", "721.67", "743.46", "765.34", "787.32", "809.39", "831.58", "853.89", "898.88", "944.46", "990.72", "1037.8", "1085.7", "1134.8", "2789.9", "2832.9", "2871.1", "2906.2", "2939.1", "2970.3", "3000.1", "3028.9", "3056.8", "3084.0", "3110.5", "3136.6", "3162.3", "3187.5", "3212.5", "3237.2", "3261.7", "3286.0", "3310.1", "3334.1", "3357.9", "3381.7", "3405.3", "3428.9", "3475.9", "3522.7", "3569.4", "3616.1", "3662.8", "3709.5", "3756.3", "3803.2", "3850.2", "3897.3", "3944.6", "3992.0", "4039.6", "4087.4", "4135.4", "4183.6", "4232.0", "4280.6", "4329.4", "4378.4", "4427.7", "4477.1", "4526.8", "4576.7", "4626.9", "4880.9", "5140.3", "5404.9", "5674.4", "5948.4", "6226.7", "6794.5", "7375.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00016", "0.07612", "0.15057", "0.22361", "0.29532", "0.36579", "0.43507", "0.50321", "0.57027", "0.63627", "0.70127", "0.76530", "0.82839", "0.89057", "0.95188", "1.0123", "1.0720", "1.1309", "1.1890", "1.2463", "1.3030", "1.3590", "1.4143", "1.4690", "1.5231", "1.5766", "1.6296", "1.6820", "1.7339", "1.7853", "1.8362", "1.8867", "1.9368", "1.9864", "2.0357", "2.0846", "2.1331", "2.1814", "2.2293", "2.2769", "2.3243", "2.4184", "2.5118", "2.6047", "2.6972", "2.7898", "2.8828", "5.9310", "6.0095", "6.0779", "6.1397", "6.1966", "6.2496", "6.2995", "6.3468", "6.3920", "6.4352", "6.4769", "6.5171", "6.5561", "6.5939", "6.6307", "6.6666", "6.7017", "6.7360", "6.7696", "6.8025", "6.8348", "6.8666", "6.8978", "6.9285", "6.9885", "7.0468", "7.1035", "7.1589", "7.2130", "7.2659", "7.3177", "7.3685", "7.4183", "7.4672", "7.5153", "7.5626", "7.6091", "7.6549", "7.7001", "7.7446", "7.7884", "7.8317", "7.8744", "7.9166", "7.9582", "7.9993", "8.0399", "8.0801", "8.1198", "8.3118", "8.4941", "8.6679", "8.8340", "8.9930", "9.1457", "9.4337", "9.7012" ); "specific volume" = ( "cm3/g@L3/M", "0.99743", "0.99740", "0.99774", "0.99839", "0.99933", "1.00053", "1.00196", "1.00361", "1.00546", "1.00750", "1.00972", "1.01211", "1.01467", "1.01739", "1.02027", "1.02330", "1.02649", "1.02982", "1.03331", "1.03694", "1.04073", "1.04466", "1.04875", "1.05298", "1.05737", "1.06192", "1.06663", "1.07150", "1.07654", "1.08176", "1.08715", "1.09273", "1.09849", "1.10446", "1.11063", "1.11701", "1.12363", "1.13047", "1.13757", "1.14493", "1.15256", "1.16873", "1.18623", "1.20525", "1.22606", "1.24897", "1.27442", "35.648", "37.367", "38.925", "40.373", "41.740", "43.043", "44.294", "45.502", "46.675", "47.817", "48.934", "50.027", "51.101", "52.158", "53.199", "54.226", "55.241", "56.245", "57.239", "58.224", "59.200", "60.169", "61.131", "62.086", "63.979", "65.852", "67.708", "69.548", "71.374", "73.188", "74.992", "76.787", "78.573", "80.351", "82.123", "83.888", "85.648", "87.403", "89.152", "90.898", "92.640", "94.378", "96.112", "97.844", "99.573", "101.30", "103.02", "104.74", "106.46", "115.03", "123.56", "132.07", "140.55", "149.02", "157.47", "174.36", "191.21" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1002.82", "1002.85", "1002.50", "1001.84", "1000.89", "999.69", "998.26", "996.62", "994.79", "992.78", "990.59", "988.25", "985.76", "983.12", "980.35", "977.45", "974.42", "971.26", "967.99", "964.60", "961.10", "957.48", "953.76", "949.93", "945.99", "941.94", "937.79", "933.53", "929.16", "924.69", "920.11", "915.43", "910.63", "905.72", "900.70", "895.56", "890.30", "884.92", "879.41", "873.78", "868.00", "856.03", "843.44", "830.17", "816.14", "801.23", "785.32", "768.19", "30.121", "28.767", "27.632", "26.652", "25.786", "25.012", "24.310", "23.668", "23.077", "22.529", "22.018", "21.539", "21.088", "20.663", "20.261", "19.879", "19.516", "19.170", "18.839", "18.522", "18.218", "17.926", "17.646", "17.116", "16.622", "16.161", "15.729", "15.322", "14.939", "14.576", "14.233", "13.907", "13.597", "13.302", "13.020", "12.751", "12.494", "12.248", "12.011", "11.785", "11.567", "11.357", "11.156", "10.961", "10.774", "10.593", "10.419", "10.250", "9.4850", "8.8291", "8.2599", "7.7609", "7.3196", "6.9264", "6.2555", "5.7040" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "6.04", "26.97", "47.85", "68.71", "89.54", "110.37", "131.19", "152.01", "172.84", "193.66", "214.50", "235.34", "256.20", "277.07", "297.95", "318.84", "339.75", "360.68", "381.63", "402.60", "423.60", "444.63", "465.68", "486.77", "507.90", "529.06", "550.27", "571.53", "592.83", "614.19", "635.61", "657.09", "678.63", "700.25", "721.95", "743.73", "765.60", "787.56", "809.63", "831.80", "854.09", "899.06", "944.61", "990.82", "1037.8", "1085.7", "1134.7", "1185.1", "2805.3", "2847.5", "2885.5", "2920.6", "2953.6", "2984.9", "3014.9", "3043.9", "3072.0", "3099.4", "3126.1", "3152.4", "3178.2", "3203.7", "3228.9", "3253.8", "3278.4", "3302.9", "3327.2", "3351.4", "3375.4", "3399.3", "3423.1", "3470.5", "3517.7", "3564.8", "3611.8", "3658.7", "3705.7", "3752.7", "3799.8", "3847.0", "3894.3", "3941.7", "3989.3", "4037.0", "4085.0", "4133.1", "4181.4", "4229.9", "4278.6", "4327.5", "4376.6", "4425.9", "4475.5", "4525.2", "4575.2", "4625.4", "4879.7", "5139.3", "5404.1", "5673.7", "5947.9", "6226.3", "6794.3", "7375.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00019", "0.07611", "0.15052", "0.22353", "0.29522", "0.36566", "0.43492", "0.50304", "0.57007", "0.63606", "0.70104", "0.76505", "0.82812", "0.89029", "0.95159", "1.0120", "1.0717", "1.1305", "1.1886", "1.2460", "1.3026", "1.3586", "1.4139", "1.4686", "1.5227", "1.5762", "1.6291", "1.6815", "1.7334", "1.7848", "1.8357", "1.8862", "1.9362", "1.9858", "2.0351", "2.0839", "2.1325", "2.1807", "2.2286", "2.2762", "2.3235", "2.4176", "2.5109", "2.6037", "2.6961", "2.7886", "2.8814", "2.9750", "5.9277", "6.0034", "6.0703", "6.1310", "6.1871", "6.2395", "6.2888", "6.3357", "6.3804", "6.4233", "6.4646", "6.5045", "6.5432", "6.5807", "6.6173", "6.6530", "6.6878", "6.7219", "6.7552", "6.7880", "6.8201", "6.8516", "6.8826", "6.9432", "7.0020", "7.0591", "7.1149", "7.1693", "7.2224", "7.2745", "7.3255", "7.3755", "7.4246", "7.4729", "7.5203", "7.5670", "7.6129", "7.6582", "7.7028", "7.7467", "7.7901", "7.8329", "7.8751", "7.9168", "7.9580", "7.9987", "8.0389", "8.0786", "8.2709", "8.4534", "8.6272", "8.7934", "8.9525", "9.1052", "9.3933", "9.6609" ); "specific volume" = ( "cm3/g@L3/M", "0.99718", "0.99716", "0.99750", "0.99816", "0.99911", "1.00031", "1.00174", "1.00339", "1.00524", "1.00728", "1.00950", "1.01189", "1.01445", "1.01717", "1.02004", "1.02307", "1.02626", "1.02959", "1.03307", "1.03670", "1.04048", "1.04441", "1.04848", "1.05271", "1.05710", "1.06164", "1.06634", "1.07120", "1.07624", "1.08144", "1.08682", "1.09239", "1.09814", "1.10409", "1.11025", "1.11662", "1.12321", "1.13004", "1.13712", "1.14446", "1.15207", "1.16818", "1.18562", "1.20457", "1.22528", "1.24807", "1.27337", "1.30177", "33.199", "34.762", "36.189", "37.521", "38.780", "39.981", "41.135", "42.251", "43.333", "44.388", "45.418", "46.428", "47.419", "48.395", "49.355", "50.303", "51.240", "52.166", "53.083", "53.991", "54.891", "55.784", "56.671", "58.426", "60.161", "61.877", "63.578", "65.265", "66.941", "68.605", "70.260", "71.907", "73.545", "75.177", "76.803", "78.423", "80.038", "81.648", "83.254", "84.856", "86.454", "88.049", "89.641", "91.230", "92.816", "94.400", "95.981", "97.560", "105.43", "113.26", "121.07", "128.85", "136.62", "144.38", "159.86", "175.32" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1003.07", "1003.09", "1002.74", "1002.07", "1001.12", "999.91", "998.48", "996.84", "995.01", "992.99", "990.81", "988.47", "985.97", "983.34", "980.57", "977.67", "974.64", "971.48", "968.21", "964.83", "961.33", "957.72", "954.00", "950.17", "946.23", "942.19", "938.04", "933.79", "929.43", "924.96", "920.39", "915.71", "910.92", "906.02", "901.01", "895.88", "890.63", "885.26", "879.76", "874.13", "868.37", "856.43", "843.87", "830.64", "816.65", "801.80", "785.95", "768.91", "750.41", "32.072", "30.668", "29.481", "28.450", "27.538", "26.720", "25.978", "25.298", "24.672", "24.090", "23.547", "23.039", "22.561", "22.109", "21.682", "21.276", "20.890", "20.521", "20.169", "19.832", "19.509", "19.199", "18.613", "18.069", "17.561", "17.086", "16.640", "16.220", "15.823", "15.447", "15.091", "14.752", "14.430", "14.123", "13.829", "13.549", "13.281", "13.023", "12.776", "12.539", "12.311", "12.092", "11.881", "11.677", "11.481", "11.291", "11.108", "10.277", "9.5652", "8.9478", "8.4068", "7.9284", "7.5023", "6.7754", "6.1779" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "6.55", "27.46", "48.34", "69.18", "90.01", "110.83", "131.64", "152.46", "173.28", "194.10", "214.93", "235.77", "256.62", "277.48", "298.35", "319.24", "340.15", "361.07", "382.02", "402.99", "423.98", "445.00", "466.05", "487.13", "508.25", "529.41", "550.61", "571.86", "593.16", "614.51", "635.92", "657.39", "678.93", "700.54", "722.23", "744.00", "765.86", "787.81", "809.86", "832.03", "854.30", "899.24", "944.75", "990.93", "1037.9", "1085.7", "1134.7", "1184.9", "1236.8", "2822.0", "2863.5", "2901.2", "2936.2", "2969.1", "3000.5", "3030.6", "3059.7", "3087.9", "3115.4", "3142.4", "3168.8", "3194.8", "3220.4", "3245.8", "3270.8", "3295.6", "3320.3", "3344.7", "3369.0", "3393.2", "3417.3", "3465.1", "3512.7", "3560.2", "3607.4", "3654.7", "3701.9", "3749.1", "3796.4", "3843.8", "3891.3", "3938.9", "3986.6", "4034.5", "4082.5", "4130.8", "4179.2", "4227.8", "4276.6", "4325.6", "4374.8", "4424.2", "4473.8", "4523.6", "4573.7", "4624.0", "4878.5", "5138.4", "5403.3", "5673.1", "5947.4", "6225.9", "6794.1", "7375.4" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00021", "0.07609", "0.15047", "0.22345", "0.29511", "0.36553", "0.43476", "0.50286", "0.56988", "0.63585", "0.70081", "0.76480", "0.82786", "0.89001", "0.95129", "1.0117", "1.0713", "1.1302", "1.1883", "1.2456", "1.3022", "1.3582", "1.4135", "1.4682", "1.5222", "1.5757", "1.6286", "1.6810", "1.7329", "1.7842", "1.8351", "1.8856", "1.9356", "1.9852", "2.0344", "2.0833", "2.1318", "2.1800", "2.2278", "2.2754", "2.3228", "2.4168", "2.5100", "2.6027", "2.6951", "2.7874", "2.8801", "2.9735", "3.0682", "5.9289", "6.0019", "6.0671", "6.1266", "6.1817", "6.2333", "6.2820", "6.3283", "6.3725", "6.4150", "6.4559", "6.4954", "6.5338", "6.5710", "6.6073", "6.6427", "6.6773", "6.7111", "6.7442", "6.7767", "6.8086", "6.8399", "6.9011", "6.9603", "7.0179", "7.0740", "7.1288", "7.1822", "7.2345", "7.2858", "7.3360", "7.3853", "7.4337", "7.4813", "7.5281", "7.5741", "7.6195", "7.6642", "7.7083", "7.7517", "7.7946", "7.8369", "7.8786", "7.9199", "7.9606", "8.0009", "8.0407", "8.2331", "8.4158", "8.5898", "8.7560", "8.9152", "9.0680", "9.3562", "9.6238" ); "specific volume" = ( "cm3/g@L3/M", "0.99694", "0.99692", "0.99727", "0.99793", "0.99888", "1.00009", "1.00152", "1.00317", "1.00502", "1.00706", "1.00928", "1.01167", "1.01422", "1.01694", "1.01982", "1.02284", "1.02602", "1.02935", "1.03283", "1.03645", "1.04023", "1.04415", "1.04822", "1.05245", "1.05682", "1.06136", "1.06605", "1.07091", "1.07593", "1.08112", "1.08649", "1.09205", "1.09779", "1.10373", "1.10987", "1.11623", "1.12280", "1.12962", "1.13667", "1.14399", "1.15158", "1.16764", "1.18501", "1.20389", "1.22451", "1.24719", "1.27234", "1.30054", "1.33260", "31.180", "32.607", "33.920", "35.149", "36.313", "37.425", "38.494", "39.528", "40.532", "41.511", "42.467", "43.404", "44.325", "45.230", "46.122", "47.002", "47.871", "48.730", "49.581", "50.423", "51.259", "52.087", "53.726", "55.344", "56.943", "58.526", "60.096", "61.653", "63.200", "64.737", "66.266", "67.786", "69.300", "70.808", "72.310", "73.806", "75.298", "76.786", "78.269", "79.749", "81.226", "82.699", "84.170", "85.638", "87.103", "88.566", "90.027", "97.305", "104.55", "111.76", "118.95", "126.13", "133.29", "147.59", "161.87" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1003.32", "1003.33", "1002.98", "1002.30", "1001.34", "1000.14", "998.70", "997.06", "995.22", "993.21", "991.02", "988.68", "986.19", "983.56", "980.79", "977.88", "974.86", "971.71", "968.44", "965.05", "961.56", "957.95", "954.23", "950.41", "946.48", "942.44", "938.30", "934.05", "929.69", "925.24", "920.67", "916.00", "911.21", "906.32", "901.31", "896.19", "890.95", "885.59", "880.11", "874.49", "868.74", "856.82", "844.30", "831.11", "817.16", "802.37", "786.59", "769.63", "751.25", "35.659", "33.907", "32.466", "31.238", "30.166", "29.215", "28.359", "27.581", "26.868", "26.209", "25.597", "25.026", "24.491", "23.987", "23.510", "23.060", "22.631", "22.224", "21.835", "21.463", "21.107", "20.765", "20.122", "19.526", "18.971", "18.452", "17.965", "17.507", "17.074", "16.666", "16.279", "15.911", "15.561", "15.228", "14.910", "14.606", "14.315", "14.037", "13.770", "13.513", "13.267", "13.029", "12.801", "12.581", "12.369", "12.164", "11.966", "11.069", "10.301", "9.6357", "9.0525", "8.5371", "8.0780", "7.2951", "6.6517" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "7.05", "27.96", "48.82", "69.66", "90.48", "111.29", "132.10", "152.91", "173.72", "194.54", "215.36", "236.19", "257.04", "277.89", "298.76", "319.65", "340.55", "361.47", "382.41", "403.37", "424.36", "445.37", "466.41", "487.49", "508.61", "529.76", "550.95", "572.19", "593.48", "614.83", "636.23", "657.69", "679.22", "700.83", "722.51", "744.27", "766.11", "788.06", "810.10", "832.25", "854.51", "899.42", "944.90", "991.04", "1037.9", "1085.7", "1134.6", "1184.8", "1236.6", "2794.1", "2839.9", "2880.6", "2917.9", "2952.7", "2985.6", "3016.9", "3047.0", "3076.2", "3104.5", "3132.1", "3159.2", "3185.7", "3211.8", "3237.6", "3263.1", "3288.3", "3313.3", "3338.0", "3362.6", "3387.1", "3411.4", "3459.7", "3507.7", "3555.5", "3603.1", "3650.6", "3698.1", "3745.5", "3793.0", "3840.6", "3888.2", "3936.0", "3983.9", "4031.9", "4080.1", "4128.4", "4177.0", "4225.7", "4274.6", "4323.7", "4373.0", "4422.4", "4472.1", "4522.1", "4572.2", "4622.5", "4877.3", "5137.4", "5402.6", "5672.5", "5946.9", "6225.5", "6793.8", "7375.3" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00023", "0.07607", "0.15041", "0.22336", "0.29500", "0.36540", "0.43461", "0.50269", "0.56968", "0.63563", "0.70058", "0.76456", "0.82760", "0.88973", "0.95100", "1.0114", "1.0710", "1.1298", "1.1879", "1.2452", "1.3019", "1.3578", "1.4131", "1.4677", "1.5218", "1.5753", "1.6282", "1.6805", "1.7324", "1.7837", "1.8346", "1.8850", "1.9350", "1.9846", "2.0338", "2.0826", "2.1311", "2.1793", "2.2271", "2.2747", "2.3220", "2.4159", "2.5091", "2.6017", "2.6940", "2.7862", "2.8788", "2.9720", "3.0665", "5.8529", "5.9337", "6.0041", "6.0675", "6.1257", "6.1797", "6.2304", "6.2784", "6.3241", "6.3677", "6.4097", "6.4502", "6.4894", "6.5273", "6.5643", "6.6002", "6.6353", "6.6696", "6.7032", "6.7360", "6.7683", "6.8000", "6.8617", "6.9214", "6.9794", "7.0359", "7.0910", "7.1447", "7.1973", "7.2487", "7.2992", "7.3486", "7.3972", "7.4450", "7.4919", "7.5381", "7.5836", "7.6284", "7.6725", "7.7160", "7.7590", "7.8014", "7.8432", "7.8845", "7.9253", "7.9656", "8.0055", "8.1981", "8.3810", "8.5551", "8.7214", "8.8807", "9.0335", "9.3217", "9.5895" ); "specific volume" = ( "cm3/g@L3/M", "0.99669", "0.99668", "0.99703", "0.99771", "0.99866", "0.99986", "1.00130", "1.00295", "1.00480", "1.00684", "1.00906", "1.01145", "1.01400", "1.01672", "1.01959", "1.02262", "1.02579", "1.02912", "1.03259", "1.03621", "1.03998", "1.04390", "1.04796", "1.05218", "1.05655", "1.06108", "1.06576", "1.07061", "1.07562", "1.08081", "1.08617", "1.09171", "1.09744", "1.10336", "1.10949", "1.11583", "1.12239", "1.12919", "1.13623", "1.14352", "1.15109", "1.16710", "1.18441", "1.20321", "1.22374", "1.24631", "1.27131", "1.29932", "1.33112", "28.043", "29.492", "30.801", "32.012", "33.149", "34.229", "35.262", "36.257", "37.219", "38.155", "39.067", "39.958", "40.832", "41.690", "42.534", "43.366", "44.187", "44.997", "45.799", "46.592", "47.378", "48.157", "49.696", "51.214", "52.713", "54.196", "55.665", "57.121", "58.567", "60.003", "61.431", "62.850", "64.263", "65.669", "67.070", "68.465", "69.855", "71.242", "72.624", "74.003", "75.378", "76.750", "78.119", "79.485", "80.849", "82.211", "83.571", "90.341", "97.074", "103.78", "110.47", "117.14", "123.79", "137.08", "150.34" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1003.57", "1003.57", "1003.21", "1002.53", "1001.57", "1000.36", "998.92", "997.28", "995.44", "993.42", "991.24", "988.90", "986.41", "983.77", "981.00", "978.10", "975.08", "971.93", "968.66", "965.28", "961.79", "958.18", "954.47", "950.65", "946.72", "942.69", "938.55", "934.31", "929.96", "925.51", "920.95", "916.28", "911.50", "906.62", "901.62", "896.51", "891.28", "885.93", "880.45", "874.85", "869.11", "857.22", "844.73", "831.57", "817.67", "802.93", "787.22", "770.35", "752.07", "732.02", "37.394", "35.634", "34.167", "32.907", "31.802", "30.818", "29.930", "29.121", "28.378", "27.691", "27.052", "26.455", "25.894", "25.367", "24.868", "24.395", "23.946", "23.519", "23.110", "22.720", "22.347", "21.644", "20.993", "20.389", "19.825", "19.296", "18.799", "18.331", "17.889", "17.470", "17.073", "16.695", "16.336", "15.993", "15.665", "15.352", "15.052", "14.764", "14.488", "14.223", "13.968", "13.722", "13.486", "13.257", "13.037", "12.825", "11.862", "11.038", "10.323", "9.6981", "9.1456", "8.6535", "7.8145", "7.1252" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "7.56", "28.45", "49.30", "70.13", "90.95", "111.75", "132.55", "153.35", "174.16", "194.97", "215.79", "236.62", "257.46", "278.31", "299.17", "320.05", "340.95", "361.86", "382.79", "403.75", "424.73", "445.74", "466.78", "487.85", "508.96", "530.11", "551.29", "572.53", "593.81", "615.15", "636.54", "658.00", "679.52", "701.11", "722.78", "744.54", "766.37", "788.30", "810.34", "832.47", "854.73", "899.61", "945.05", "991.14", "1038.0", "1085.7", "1134.5", "1184.6", "1236.3", "1290.0", "2814.4", "2858.8", "2898.7", "2935.5", "2970.1", "3002.8", "3034.0", "3064.1", "3093.3", "3121.7", "3149.4", "3176.5", "3203.1", "3229.4", "3255.3", "3280.9", "3306.2", "3331.3", "3356.2", "3380.9", "3405.5", "3454.2", "3502.6", "3550.8", "3598.7", "3646.5", "3694.2", "3741.9", "3789.6", "3837.4", "3885.2", "3933.1", "3981.2", "4029.3", "4077.7", "4126.1", "4174.8", "4223.6", "4272.6", "4321.7", "4371.1", "4420.7", "4470.5", "4520.5", "4570.7", "4621.1", "4876.2", "5136.5", "5401.8", "5671.9", "5946.4", "6225.1", "6793.6", "7375.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00025", "0.07605", "0.15036", "0.22328", "0.29489", "0.36526", "0.43445", "0.50251", "0.56949", "0.63542", "0.70035", "0.76431", "0.82733", "0.88945", "0.95070", "1.0111", "1.0707", "1.1295", "1.1876", "1.2449", "1.3015", "1.3574", "1.4127", "1.4673", "1.5213", "1.5748", "1.6277", "1.6800", "1.7319", "1.7832", "1.8341", "1.8845", "1.9344", "1.9840", "2.0332", "2.0820", "2.1304", "2.1786", "2.2264", "2.2739", "2.3212", "2.4151", "2.5082", "2.6007", "2.6929", "2.7851", "2.8775", "2.9705", "3.0648", "3.1610", "5.8646", "5.9414", "6.0093", "6.0709", "6.1277", "6.1806", "6.2304", "6.2776", "6.3225", "6.3656", "6.4071", "6.4471", "6.4858", "6.5234", "6.5600", "6.5956", "6.6304", "6.6644", "6.6977", "6.7303", "6.7623", "6.8246", "6.8848", "6.9433", "7.0001", "7.0555", "7.1096", "7.1624", "7.2141", "7.2647", "7.3144", "7.3631", "7.4110", "7.4581", "7.5044", "7.5500", "7.5949", "7.6391", "7.6828", "7.7258", "7.7682", "7.8101", "7.8515", "7.8924", "7.9327", "7.9726", "8.1655", "8.3485", "8.5227", "8.6891", "8.8485", "9.0014", "9.2897", "9.5575" ); "specific volume" = ( "cm3/g@L3/M", "0.99644", "0.99644", "0.99680", "0.99748", "0.99843", "0.99964", "1.00108", "1.00273", "1.00458", "1.00662", "1.00884", "1.01123", "1.01378", "1.01650", "1.01937", "1.02239", "1.02556", "1.02888", "1.03235", "1.03597", "1.03973", "1.04364", "1.04770", "1.05191", "1.05628", "1.06080", "1.06547", "1.07031", "1.07532", "1.08049", "1.08584", "1.09137", "1.09709", "1.10300", "1.10911", "1.11544", "1.12199", "1.12876", "1.13578", "1.14306", "1.15060", "1.16656", "1.18381", "1.20254", "1.22298", "1.24543", "1.27030", "1.29812", "1.32967", "1.36609", "26.742", "28.063", "29.268", "30.388", "31.444", "32.449", "33.412", "34.340", "35.239", "36.113", "36.966", "37.801", "38.619", "39.422", "40.212", "40.992", "41.760", "42.520", "43.270", "44.014", "44.750", "46.203", "47.634", "49.046", "50.442", "51.824", "53.193", "54.552", "55.900", "57.240", "58.572", "59.897", "61.215", "62.528", "63.836", "65.138", "66.437", "67.731", "69.022", "70.309", "71.593", "72.875", "74.153", "75.430", "76.703", "77.975", "84.306", "90.600", "96.866", "103.11", "109.34", "115.56", "127.97", "140.35" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1003.82", "1003.82", "1003.45", "1002.76", "1001.80", "1000.58", "999.14", "997.49", "995.65", "993.64", "991.45", "989.11", "986.62", "983.99", "981.22", "978.32", "975.30", "972.15", "968.89", "965.51", "962.02", "958.42", "954.71", "950.89", "946.97", "942.94", "938.80", "934.57", "930.22", "925.78", "921.22", "916.56", "911.79", "906.92", "901.93", "896.82", "891.60", "886.26", "880.79", "875.20", "869.48", "857.61", "845.15", "832.03", "818.18", "803.49", "787.84", "771.05", "752.88", "732.98", "41.188", "39.016", "37.258", "35.775", "34.493", "33.361", "32.350", "31.434", "30.599", "29.830", "29.117", "28.454", "27.834", "27.251", "26.702", "26.182", "25.690", "25.222", "24.776", "24.350", "23.942", "23.177", "22.471", "21.816", "21.205", "20.634", "20.098", "19.593", "19.117", "18.666", "18.239", "17.833", "17.446", "17.078", "16.727", "16.390", "16.069", "15.760", "15.465", "15.180", "14.907", "14.644", "14.391", "14.147", "13.911", "13.684", "12.654", "11.774", "11.011", "10.344", "9.7539", "9.2288", "8.3338", "7.5986" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "8.06", "28.94", "49.79", "70.61", "91.41", "112.21", "133.01", "153.80", "174.60", "195.41", "216.22", "237.04", "257.88", "278.72", "299.58", "320.45", "341.34", "362.25", "383.18", "404.13", "425.11", "446.11", "467.15", "488.21", "509.31", "530.45", "551.63", "572.86", "594.14", "615.47", "636.86", "658.30", "679.82", "701.40", "723.06", "744.80", "766.63", "788.55", "810.57", "832.70", "854.94", "899.79", "945.20", "991.25", "1038.1", "1085.7", "1134.5", "1184.5", "1236.0", "1289.6", "2786.5", "2835.4", "2878.4", "2917.6", "2953.9", "2988.1", "3020.6", "3051.8", "3081.8", "3111.0", "3139.4", "3167.1", "3194.3", "3221.0", "3247.3", "3273.3", "3299.0", "3324.4", "3349.6", "3374.7", "3399.5", "3448.7", "3497.6", "3546.0", "3594.3", "3642.4", "3690.4", "3738.3", "3786.2", "3834.2", "3882.2", "3930.3", "3978.5", "4026.8", "4075.2", "4123.8", "4172.5", "4221.5", "4270.6", "4319.8", "4369.3", "4419.0", "4468.8", "4518.9", "4569.1", "4619.6", "4875.0", "5135.5", "5401.0", "5671.2", "5945.9", "6224.7", "6793.4", "7375.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00027", "0.07603", "0.15031", "0.22320", "0.29478", "0.36513", "0.43430", "0.50234", "0.56929", "0.63521", "0.70012", "0.76406", "0.82707", "0.88917", "0.95041", "1.0108", "1.0704", "1.1292", "1.1872", "1.2445", "1.3011", "1.3570", "1.4123", "1.4669", "1.5209", "1.5743", "1.6272", "1.6795", "1.7313", "1.7827", "1.8335", "1.8839", "1.9339", "1.9834", "2.0326", "2.0813", "2.1298", "2.1779", "2.2257", "2.2732", "2.3205", "2.4143", "2.5073", "2.5997", "2.6919", "2.7839", "2.8761", "2.9690", "3.0631", "3.1590", "5.7937", "5.8783", "5.9515", "6.0170", "6.0768", "6.1321", "6.1838", "6.2327", "6.2790", "6.3233", "6.3658", "6.4067", "6.4462", "6.4845", "6.5217", "6.5579", "6.5931", "6.6276", "6.6613", "6.6942", "6.7266", "6.7895", "6.8503", "6.9092", "6.9664", "7.0221", "7.0764", "7.1295", "7.1814", "7.2323", "7.2821", "7.3310", "7.3791", "7.4263", "7.4727", "7.5184", "7.5635", "7.6078", "7.6515", "7.6946", "7.7371", "7.7791", "7.8206", "7.8615", "7.9019", "7.9419", "8.1350", "8.3181", "8.4924", "8.6589", "8.8184", "8.9713", "9.2597", "9.5275" ); "specific volume" = ( "cm3/g@L3/M", "0.99619", "0.99620", "0.99657", "0.99725", "0.99821", "0.99942", "1.00086", "1.00251", "1.00437", "1.00640", "1.00862", "1.01101", "1.01356", "1.01627", "1.01914", "1.02216", "1.02533", "1.02865", "1.03211", "1.03572", "1.03948", "1.04339", "1.04744", "1.05165", "1.05600", "1.06052", "1.06519", "1.07002", "1.07501", "1.08017", "1.08551", "1.09103", "1.09674", "1.10264", "1.10874", "1.11505", "1.12158", "1.12834", "1.13534", "1.14259", "1.15011", "1.16603", "1.18322", "1.20187", "1.22222", "1.24457", "1.26929", "1.29693", "1.32823", "1.36430", "24.279", "25.630", "26.840", "27.952", "28.992", "29.975", "30.912", "31.812", "32.681", "33.524", "34.344", "35.144", "35.928", "36.696", "37.451", "38.194", "38.926", "39.648", "40.362", "41.068", "41.767", "43.145", "44.501", "45.838", "47.158", "48.463", "49.756", "51.038", "52.310", "53.573", "54.828", "56.077", "57.318", "58.554", "59.785", "61.011", "62.233", "63.450", "64.664", "65.874", "67.082", "68.286", "69.488", "70.687", "71.884", "73.079", "79.025", "84.934", "90.816", "96.678", "102.52", "108.36", "119.99", "131.60" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1004.32", "1004.30", "1003.91", "1003.22", "1002.25", "1001.02", "999.58", "997.93", "996.08", "994.07", "991.88", "989.54", "987.05", "984.42", "981.65", "978.76", "975.74", "972.59", "969.34", "965.96", "962.48", "958.88", "955.18", "951.37", "947.45", "943.43", "939.31", "935.08", "930.75", "926.31", "921.77", "917.13", "912.37", "907.51", "902.53", "897.45", "892.24", "886.92", "881.48", "875.91", "870.21", "858.40", "846.00", "832.95", "819.19", "804.60", "789.08", "772.45", "754.49", "734.86", "713.07", "46.625", "44.036", "41.962", "40.228", "38.736", "37.428", "36.263", "35.212", "34.256", "33.378", "32.567", "31.813", "31.110", "30.450", "29.829", "29.243", "28.687", "28.160", "27.658", "27.179", "26.283", "25.460", "24.698", "23.991", "23.331", "22.713", "22.133", "21.586", "21.070", "20.581", "20.117", "19.676", "19.256", "18.856", "18.473", "18.108", "17.757", "17.421", "17.099", "16.789", "16.491", "16.204", "15.928", "15.661", "15.404", "14.240", "13.246", "12.387", "11.634", "10.970", "10.379", "9.3716", "8.5446" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "9.06", "29.93", "50.75", "71.56", "92.35", "113.13", "133.91", "154.70", "175.48", "196.28", "217.08", "237.89", "258.71", "279.55", "300.40", "321.26", "342.14", "363.04", "383.96", "404.90", "425.86", "446.85", "467.88", "488.93", "510.02", "531.15", "552.32", "573.53", "594.79", "616.11", "637.48", "658.92", "680.41", "701.98", "723.62", "745.35", "767.15", "789.05", "811.05", "833.15", "855.37", "900.16", "945.50", "991.48", "1038.2", "1085.8", "1134.4", "1184.2", "1235.5", "1288.8", "1344.5", "2782.7", "2834.0", "2879.0", "2919.7", "2957.3", "2992.6", "3026.1", "3058.1", "3089.0", "3118.8", "3147.9", "3176.2", "3203.9", "3231.2", "3258.0", "3284.5", "3310.6", "3336.4", "3362.0", "3387.4", "3437.6", "3487.3", "3536.5", "3585.4", "3634.1", "3682.6", "3731.0", "3779.4", "3827.7", "3876.1", "3924.5", "3973.0", "4021.6", "4070.3", "4119.1", "4168.1", "4217.3", "4266.5", "4316.0", "4365.7", "4415.5", "4465.5", "4515.7", "4566.1", "4616.7", "4872.7", "5133.6", "5399.5", "5670.0", "5944.9", "6223.9", "6792.9", "7374.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00031", "0.07599", "0.15020", "0.22303", "0.29457", "0.36486", "0.43399", "0.50199", "0.56890", "0.63478", "0.69966", "0.76357", "0.82654", "0.88862", "0.94982", "1.0102", "1.0697", "1.1285", "1.1865", "1.2438", "1.3003", "1.3562", "1.4114", "1.4660", "1.5200", "1.5734", "1.6263", "1.6786", "1.7303", "1.7816", "1.8324", "1.8828", "1.9327", "1.9822", "2.0313", "2.0801", "2.1285", "2.1765", "2.2243", "2.2717", "2.3189", "2.4126", "2.5055", "2.5978", "2.6897", "2.7815", "2.8736", "2.9661", "3.0598", "3.1552", "3.2533", "5.7478", "5.8350", "5.9101", "5.9771", "6.0380", "6.0942", "6.1467", "6.1961", "6.2429", "6.2876", "6.3304", "6.3716", "6.4114", "6.4499", "6.4872", "6.5235", "6.5589", "6.5935", "6.6272", "6.6603", "6.7244", "6.7862", "6.8461", "6.9041", "6.9605", "7.0154", "7.0690", "7.1214", "7.1726", "7.2229", "7.2721", "7.3205", "7.3680", "7.4147", "7.4606", "7.5058", "7.5503", "7.5942", "7.6375", "7.6802", "7.7223", "7.7639", "7.8049", "7.8454", "7.8855", "8.0790", "8.2625", "8.4370", "8.6037", "8.7633", "8.9163", "9.2049", "9.4729" ); "specific volume" = ( "cm3/g@L3/M", "0.99569", "0.99572", "0.99610", "0.99679", "0.99776", "0.99898", "1.00042", "1.00208", "1.00393", "1.00597", "1.00819", "1.01057", "1.01312", "1.01583", "1.01869", "1.02170", "1.02487", "1.02818", "1.03163", "1.03524", "1.03899", "1.04288", "1.04693", "1.05112", "1.05546", "1.05996", "1.06461", "1.06942", "1.07440", "1.07955", "1.08487", "1.09036", "1.09604", "1.10192", "1.10799", "1.11427", "1.12077", "1.12749", "1.13446", "1.14167", "1.14915", "1.16496", "1.18203", "1.20055", "1.22072", "1.24285", "1.26730", "1.29458", "1.32540", "1.36080", "1.40239", "21.448", "22.708", "23.831", "24.859", "25.816", "26.718", "27.577", "28.399", "29.192", "29.960", "30.706", "31.433", "32.144", "32.841", "33.524", "34.197", "34.859", "35.512", "36.156", "36.793", "38.047", "39.278", "40.488", "41.682", "42.861", "44.027", "45.181", "46.326", "47.461", "48.589", "49.709", "50.823", "51.931", "53.034", "54.132", "55.226", "56.315", "57.401", "58.483", "59.562", "60.639", "61.712", "62.783", "63.852", "64.918", "70.224", "75.492", "80.733", "85.954", "91.158", "96.350", "106.71", "117.03" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1004.82", "1004.78", "1004.38", "1003.68", "1002.69", "1001.47", "1000.02", "998.36", "996.52", "994.49", "992.31", "989.97", "987.48", "984.85", "982.08", "979.19", "976.17", "973.04", "969.78", "966.41", "962.93", "959.34", "955.65", "951.85", "947.94", "943.93", "939.81", "935.60", "931.28", "926.85", "922.32", "917.69", "912.95", "908.10", "903.14", "898.07", "892.88", "887.58", "882.16", "876.61", "870.94", "859.18", "846.84", "833.87", "820.18", "805.70", "790.30", "773.83", "756.07", "736.71", "715.29", "691.04", "51.894", "48.913", "46.539", "44.564", "42.873", "41.394", "40.081", "38.900", "37.827", "36.844", "35.937", "35.096", "34.312", "33.578", "32.887", "32.236", "31.619", "31.034", "30.478", "29.441", "28.493", "27.619", "26.809", "26.057", "25.353", "24.694", "24.074", "23.490", "22.937", "22.414", "21.917", "21.444", "20.994", "20.564", "20.153", "19.760", "19.383", "19.022", "18.675", "18.342", "18.021", "17.712", "17.414", "17.126", "15.827", "14.719", "13.761", "12.924", "12.185", "11.528", "10.409", "9.4897" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "10.07", "30.91", "51.72", "72.51", "93.28", "114.05", "134.82", "155.59", "176.36", "197.15", "217.94", "238.74", "259.55", "280.38", "301.21", "322.07", "342.94", "363.82", "384.73", "405.66", "426.62", "447.60", "468.61", "489.65", "510.73", "531.84", "553.00", "574.20", "595.45", "616.75", "638.11", "659.53", "681.01", "702.56", "724.18", "745.89", "767.68", "789.55", "811.53", "833.61", "855.80", "900.53", "945.81", "991.71", "1038.3", "1085.8", "1134.3", "1183.9", "1235.0", "1288.0", "1343.3", "1402.0", "2782.8", "2835.8", "2882.1", "2924.0", "2962.7", "2998.9", "3033.2", "3065.9", "3097.4", "3127.9", "3157.5", "3186.4", "3214.6", "3242.3", "3269.6", "3296.5", "3323.0", "3349.2", "3375.1", "3426.4", "3476.9", "3526.9", "3576.5", "3625.8", "3674.8", "3723.7", "3772.5", "3821.3", "3870.0", "3918.7", "3967.6", "4016.4", "4065.4", "4114.5", "4163.7", "4213.0", "4262.5", "4312.2", "4362.0", "4412.0", "4462.2", "4512.5", "4563.0", "4613.8", "4870.3", "5131.7", "5397.9", "5668.7", "5943.9", "6223.1", "6792.4", "7374.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00034", "0.07595", "0.15009", "0.22287", "0.29435", "0.36460", "0.43368", "0.50163", "0.56851", "0.63436", "0.69920", "0.76307", "0.82602", "0.88806", "0.94923", "1.0096", "1.0691", "1.1278", "1.1858", "1.2430", "1.2996", "1.3554", "1.4106", "1.4652", "1.5191", "1.5725", "1.6253", "1.6776", "1.7293", "1.7806", "1.8313", "1.8817", "1.9315", "1.9810", "2.0301", "2.0788", "2.1271", "2.1752", "2.2229", "2.2703", "2.3174", "2.4110", "2.5037", "2.5959", "2.6876", "2.7792", "2.8710", "2.9633", "3.0565", "3.1514", "3.2488", "3.3502", "5.7133", "5.8019", "5.8782", "5.9459", "6.0075", "6.0642", "6.1172", "6.1669", "6.2141", "6.2590", "6.3020", "6.3434", "6.3833", "6.4219", "6.4593", "6.4957", "6.5311", "6.5657", "6.5995", "6.6649", "6.7278", "6.7886", "6.8474", "6.9045", "6.9600", "7.0142", "7.0670", "7.1187", "7.1693", "7.2189", "7.2676", "7.3153", "7.3623", "7.4085", "7.4539", "7.4986", "7.5427", "7.5861", "7.6290", "7.6712", "7.7129", "7.7541", "7.7947", "7.8349", "8.0288", "8.2126", "8.3874", "8.5543", "8.7140", "8.8671", "9.1559", "9.4239" ); "specific volume" = ( "cm3/g@L3/M", "0.99520", "0.99524", "0.99564", "0.99634", "0.99731", "0.99854", "0.99998", "1.00164", "1.00350", "1.00554", "1.00775", "1.01014", "1.01268", "1.01539", "1.01824", "1.02125", "1.02441", "1.02771", "1.03116", "1.03475", "1.03849", "1.04238", "1.04641", "1.05059", "1.05492", "1.05940", "1.06404", "1.06884", "1.07380", "1.07892", "1.08422", "1.08970", "1.09535", "1.10120", "1.10725", "1.11350", "1.11997", "1.12666", "1.13358", "1.14076", "1.14819", "1.16390", "1.18086", "1.19923", "1.21924", "1.24115", "1.26533", "1.29227", "1.32263", "1.35739", "1.39804", "1.44709", "19.270", "20.444", "21.487", "22.440", "23.325", "24.158", "24.950", "25.707", "26.436", "27.142", "27.826", "28.493", "29.144", "29.782", "30.407", "31.022", "31.626", "32.223", "32.811", "33.966", "35.097", "36.207", "37.300", "38.378", "39.442", "40.495", "41.538", "42.572", "43.597", "44.615", "45.627", "46.633", "47.633", "48.629", "49.620", "50.607", "51.590", "52.570", "53.547", "54.521", "55.492", "56.460", "57.426", "58.390", "63.183", "67.938", "72.667", "77.374", "82.066", "86.745", "96.074", "105.38" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1005.32", "1005.26", "1004.85", "1004.13", "1003.14", "1001.91", "1000.45", "998.79", "996.94", "994.92", "992.73", "990.39", "987.90", "985.28", "982.51", "979.62", "976.61", "973.48", "970.23", "966.86", "963.39", "959.81", "956.12", "952.32", "948.42", "944.42", "940.32", "936.11", "931.80", "927.38", "922.87", "918.25", "913.52", "908.69", "903.74", "898.69", "893.52", "888.24", "882.84", "877.31", "871.66", "859.95", "847.67", "834.77", "821.17", "806.79", "791.51", "775.19", "757.62", "738.52", "717.45", "693.72", "61.447", "56.931", "53.602", "50.955", "48.758", "46.881", "45.243", "43.790", "42.486", "41.302", "40.219", "39.221", "38.297", "37.435", "36.629", "35.872", "35.158", "34.482", "33.842", "32.654", "31.571", "30.578", "29.661", "28.811", "28.018", "27.277", "26.581", "25.926", "25.308", "24.723", "24.169", "23.642", "23.140", "22.662", "22.206", "21.769", "21.351", "20.950", "20.565", "20.196", "19.840", "19.498", "19.168", "18.850", "17.415", "16.192", "15.136", "14.214", "13.400", "12.676", "11.445", "10.434" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "11.07", "31.89", "52.68", "73.45", "94.21", "114.97", "135.72", "156.48", "177.25", "198.02", "218.80", "239.59", "260.39", "281.20", "302.03", "322.87", "343.73", "364.61", "385.51", "406.43", "427.37", "448.34", "469.34", "490.37", "511.44", "532.54", "553.68", "574.87", "596.11", "617.40", "638.74", "660.14", "681.61", "703.14", "724.75", "746.43", "768.20", "790.06", "812.01", "834.07", "856.23", "900.91", "946.13", "991.95", "1038.5", "1085.8", "1134.2", "1183.7", "1234.6", "1287.3", "1342.2", "1400.3", "2721.1", "2786.5", "2840.6", "2887.9", "2930.6", "2970.0", "3006.9", "3041.9", "3075.2", "3107.2", "3138.2", "3168.3", "3197.6", "3226.3", "3254.4", "3282.0", "3309.3", "3336.1", "3362.7", "3415.0", "3466.4", "3517.2", "3567.5", "3617.4", "3667.0", "3716.4", "3765.6", "3814.8", "3863.9", "3913.0", "3962.1", "4011.2", "4060.5", "4109.8", "4159.3", "4208.8", "4258.5", "4308.3", "4358.3", "4408.5", "4458.8", "4509.3", "4560.0", "4610.9", "4868.0", "5129.8", "5396.4", "5667.5", "5942.9", "6222.3", "6791.9", "7374.4" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00037", "0.07590", "0.14998", "0.22270", "0.29412", "0.36433", "0.43337", "0.50128", "0.56812", "0.63393", "0.69874", "0.76258", "0.82549", "0.88750", "0.94865", "1.0089", "1.0684", "1.1271", "1.1851", "1.2423", "1.2988", "1.3546", "1.4098", "1.4643", "1.5183", "1.5716", "1.6244", "1.6766", "1.7283", "1.7795", "1.8303", "1.8806", "1.9304", "1.9798", "2.0289", "2.0775", "2.1258", "2.1738", "2.2215", "2.2688", "2.3159", "2.4094", "2.5020", "2.5940", "2.6855", "2.7769", "2.8685", "2.9604", "3.0533", "3.1477", "3.2444", "3.3449", "5.5793", "5.6888", "5.7777", "5.8542", "5.9223", "5.9840", "6.0410", "6.0941", "6.1440", "6.1912", "6.2362", "6.2793", "6.3207", "6.3607", "6.3993", "6.4367", "6.4731", "6.5085", "6.5431", "6.6099", "6.6739", "6.7356", "6.7953", "6.8531", "6.9092", "6.9639", "7.0173", "7.0694", "7.1204", "7.1703", "7.2193", "7.2673", "7.3146", "7.3610", "7.4066", "7.4515", "7.4958", "7.5394", "7.5824", "7.6247", "7.6666", "7.7079", "7.7486", "7.7889", "7.9833", "8.1673", "8.3424", "8.5095", "8.6693", "8.8226", "9.1115", "9.3796" ); "specific volume" = ( "cm3/g@L3/M", "0.99471", "0.99477", "0.99517", "0.99588", "0.99687", "0.99810", "0.99955", "1.00121", "1.00306", "1.00510", "1.00732", "1.00970", "1.01224", "1.01494", "1.01780", "1.02080", "1.02395", "1.02725", "1.03069", "1.03427", "1.03800", "1.04188", "1.04590", "1.05006", "1.05438", "1.05885", "1.06347", "1.06825", "1.07319", "1.07830", "1.08358", "1.08903", "1.09467", "1.10049", "1.10651", "1.11273", "1.11917", "1.12582", "1.13271", "1.13985", "1.14724", "1.16286", "1.17970", "1.19794", "1.21777", "1.23948", "1.26340", "1.29000", "1.31992", "1.35407", "1.39383", "1.44149", "16.274", "17.565", "18.656", "19.625", "20.509", "21.331", "22.103", "22.836", "23.537", "24.212", "24.864", "25.496", "26.112", "26.713", "27.301", "27.877", "28.443", "29.000", "29.549", "30.624", "31.674", "32.703", "33.714", "34.709", "35.691", "36.661", "37.621", "38.571", "39.513", "40.448", "41.376", "42.298", "43.215", "44.126", "45.034", "45.937", "46.837", "47.733", "48.625", "49.515", "50.402", "51.287", "52.169", "53.049", "57.422", "61.758", "66.067", "70.355", "74.627", "78.886", "87.377", "95.840" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1005.81", "1005.74", "1005.32", "1004.59", "1003.59", "1002.35", "1000.89", "999.22", "997.37", "995.35", "993.16", "990.82", "988.33", "985.70", "982.94", "980.06", "977.05", "973.92", "970.67", "967.31", "963.84", "960.27", "956.59", "952.80", "948.91", "944.91", "940.82", "936.62", "932.32", "927.92", "923.41", "918.80", "914.09", "909.27", "904.34", "899.31", "894.16", "888.89", "883.51", "878.00", "872.37", "860.72", "848.50", "835.67", "822.15", "807.86", "792.71", "776.53", "759.15", "740.28", "719.55", "696.31", "669.50", "66.572", "61.690", "58.068", "55.185", "52.791", "50.746", "48.961", "47.380", "45.961", "44.674", "43.497", "42.413", "41.410", "40.475", "39.601", "38.780", "38.006", "37.275", "35.923", "34.697", "33.577", "32.547", "31.594", "30.708", "29.882", "29.107", "28.379", "27.694", "27.046", "26.432", "25.849", "25.296", "24.768", "24.265", "23.784", "23.324", "22.883", "22.460", "22.054", "21.663", "21.287", "20.925", "20.577", "19.003", "17.665", "16.511", "15.503", "14.614", "13.824", "12.480", "11.378" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "12.07", "32.87", "53.64", "74.40", "95.14", "115.89", "136.63", "157.37", "178.13", "198.89", "219.66", "240.44", "261.23", "282.03", "302.85", "323.68", "344.53", "365.40", "386.28", "407.19", "428.12", "449.08", "470.07", "491.09", "512.15", "533.24", "554.37", "575.55", "596.77", "618.04", "639.37", "660.76", "682.21", "703.72", "725.31", "746.98", "768.73", "790.57", "812.50", "834.53", "856.67", "901.29", "946.44", "992.20", "1038.6", "1085.9", "1134.1", "1183.4", "1234.1", "1286.6", "1341.2", "1398.7", "1460.5", "2728.2", "2793.6", "2848.1", "2895.9", "2939.2", "2979.2", "3016.6", "3052.0", "3085.8", "3118.3", "3149.7", "3180.1", "3209.8", "3238.9", "3267.3", "3295.3", "3322.8", "3350.0", "3403.4", "3455.8", "3507.4", "3558.4", "3608.9", "3659.1", "3709.0", "3758.7", "3808.2", "3857.7", "3907.2", "3956.6", "4006.0", "4055.6", "4105.1", "4154.8", "4204.6", "4254.5", "4304.5", "4354.7", "4405.0", "4455.5", "4506.1", "4557.0", "4608.0", "4865.6", "5127.9", "5394.9", "5666.3", "5941.9", "6221.5", "6791.5", "7374.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00039", "0.07585", "0.14987", "0.22252", "0.29390", "0.36406", "0.43305", "0.50093", "0.56773", "0.63350", "0.69828", "0.76209", "0.82497", "0.88695", "0.94806", "1.0083", "1.0678", "1.1265", "1.1844", "1.2416", "1.2980", "1.3538", "1.4090", "1.4635", "1.5174", "1.5707", "1.6234", "1.6756", "1.7273", "1.7785", "1.8292", "1.8794", "1.9293", "1.9786", "2.0276", "2.0763", "2.1245", "2.1724", "2.2201", "2.2674", "2.3144", "2.4077", "2.5002", "2.5921", "2.6835", "2.7747", "2.8660", "2.9576", "3.0501", "3.1440", "3.2401", "3.3397", "3.4447", "5.5651", "5.6727", "5.7609", "5.8371", "5.9049", "5.9665", "6.0234", "6.0764", "6.1262", "6.1734", "6.2184", "6.2614", "6.3028", "6.3427", "6.3812", "6.4186", "6.4549", "6.4903", "6.5585", "6.6237", "6.6864", "6.7469", "6.8054", "6.8622", "6.9175", "6.9713", "7.0239", "7.0753", "7.1256", "7.1748", "7.2232", "7.2706", "7.3173", "7.3631", "7.4083", "7.4527", "7.4965", "7.5396", "7.5821", "7.6241", "7.6655", "7.7064", "7.7467", "7.9416", "8.1259", "8.3012", "8.4685", "8.6284", "8.7818", "9.0709", "9.3392" ); "specific volume" = ( "cm3/g@L3/M", "0.99422", "0.99429", "0.99471", "0.99543", "0.99642", "0.99766", "0.99911", "1.00078", "1.00263", "1.00467", "1.00689", "1.00927", "1.01181", "1.01450", "1.01735", "1.02035", "1.02349", "1.02678", "1.03021", "1.03379", "1.03751", "1.04138", "1.04538", "1.04954", "1.05384", "1.05830", "1.06291", "1.06767", "1.07259", "1.07768", "1.08294", "1.08837", "1.09398", "1.09978", "1.10577", "1.11197", "1.11837", "1.12500", "1.13185", "1.13895", "1.14630", "1.16182", "1.17855", "1.19665", "1.21633", "1.23783", "1.26150", "1.28778", "1.31727", "1.35083", "1.38976", "1.43613", "1.49366", "15.021", "16.210", "17.221", "18.121", "18.943", "19.706", "20.424", "21.106", "21.758", "22.385", "22.990", "23.577", "24.149", "24.707", "25.252", "25.787", "26.312", "26.828", "27.837", "28.821", "29.782", "30.725", "31.651", "32.564", "33.465", "34.356", "35.237", "36.109", "36.975", "37.833", "38.685", "39.532", "40.375", "41.212", "42.045", "42.875", "43.701", "44.524", "45.344", "46.161", "46.976", "47.789", "48.599", "52.622", "56.608", "60.567", "64.505", "68.428", "72.337", "80.129", "87.892" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1006.31", "1006.22", "1005.78", "1005.04", "1004.04", "1002.79", "1001.32", "999.65", "997.80", "995.77", "993.58", "991.24", "988.76", "986.13", "983.37", "980.49", "977.48", "974.36", "971.11", "967.76", "964.30", "960.73", "957.05", "953.27", "949.39", "945.40", "941.32", "937.13", "932.84", "928.45", "923.95", "919.36", "914.66", "909.85", "904.94", "899.92", "894.79", "889.54", "884.18", "878.69", "873.09", "861.48", "849.32", "836.55", "823.12", "808.93", "793.89", "777.85", "760.65", "742.02", "721.60", "698.82", "672.72", "641.40", "71.282", "66.144", "62.292", "59.212", "56.649", "54.455", "52.540", "50.843", "49.318", "47.936", "46.672", "45.509", "44.431", "43.428", "42.489", "41.609", "40.779", "39.251", "37.873", "36.618", "35.468", "34.408", "33.424", "32.509", "31.653", "30.850", "30.094", "29.381", "28.707", "28.067", "27.460", "26.882", "26.331", "25.805", "25.302", "24.820", "24.358", "23.915", "23.489", "23.079", "22.685", "22.305", "20.593", "19.139", "17.885", "16.791", "15.827", "14.971", "13.514", "12.320" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "13.07", "33.85", "54.61", "75.34", "96.07", "116.80", "137.53", "158.27", "179.01", "199.76", "220.51", "241.28", "262.06", "282.86", "303.66", "324.49", "345.32", "366.18", "387.06", "407.96", "428.88", "449.83", "470.81", "491.81", "512.86", "533.94", "555.06", "576.22", "597.43", "618.69", "640.00", "661.37", "682.81", "704.31", "725.88", "747.53", "769.26", "791.07", "812.98", "834.99", "857.11", "901.68", "946.77", "992.45", "1038.8", "1086.0", "1134.0", "1183.2", "1233.7", "1285.9", "1340.2", "1397.2", "1458.2", "1525.4", "2739.0", "2803.7", "2858.1", "2906.2", "2949.7", "2990.0", "3027.7", "3063.5", "3097.6", "3130.4", "3162.2", "3193.0", "3223.0", "3252.3", "3281.1", "3309.3", "3337.1", "3391.7", "3445.0", "3497.5", "3549.2", "3600.4", "3651.1", "3701.5", "3751.7", "3801.7", "3851.5", "3901.3", "3951.1", "4000.8", "4050.6", "4100.4", "4150.4", "4200.3", "4250.5", "4300.7", "4351.0", "4401.5", "4452.2", "4503.0", "4553.9", "4605.0", "4863.3", "5126.0", "5393.3", "5665.0", "5940.9", "6220.7", "6791.0", "7373.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00041", "0.07580", "0.14975", "0.22235", "0.29368", "0.36379", "0.43274", "0.50058", "0.56734", "0.63308", "0.69782", "0.76160", "0.82444", "0.88639", "0.94748", "1.0077", "1.0671", "1.1258", "1.1837", "1.2408", "1.2973", "1.3531", "1.4082", "1.4626", "1.5165", "1.5698", "1.6225", "1.6747", "1.7263", "1.7775", "1.8281", "1.8783", "1.9281", "1.9775", "2.0264", "2.0750", "2.1232", "2.1711", "2.2187", "2.2659", "2.3129", "2.4061", "2.4985", "2.5902", "2.6814", "2.7724", "2.8635", "2.9549", "3.0470", "3.1405", "3.2360", "3.3346", "3.4383", "3.5506", "5.5591", "5.6638", "5.7504", "5.8257", "5.8929", "5.9541", "6.0106", "6.0633", "6.1129", "6.1599", "6.2047", "6.2476", "6.2888", "6.3286", "6.3670", "6.4043", "6.4405", "6.5101", "6.5766", "6.6403", "6.7016", "6.7609", "6.8184", "6.8742", "6.9286", "6.9816", "7.0333", "7.0840", "7.1336", "7.1822", "7.2299", "7.2768", "7.3229", "7.3682", "7.4128", "7.4567", "7.5000", "7.5427", "7.5848", "7.6263", "7.6673", "7.7078", "7.9030", "8.0877", "8.2633", "8.4307", "8.5908", "8.7443", "9.0335", "9.3019" ); "specific volume" = ( "cm3/g@L3/M", "0.99373", "0.99382", "0.99425", "0.99498", "0.99598", "0.99722", "0.99868", "1.00035", "1.00220", "1.00424", "1.00646", "1.00883", "1.01137", "1.01406", "1.01691", "1.01990", "1.02304", "1.02632", "1.02975", "1.03331", "1.03702", "1.04088", "1.04488", "1.04902", "1.05331", "1.05775", "1.06234", "1.06709", "1.07200", "1.07707", "1.08231", "1.08772", "1.09330", "1.09908", "1.10504", "1.11121", "1.11758", "1.12417", "1.13099", "1.13805", "1.14536", "1.16079", "1.17741", "1.19538", "1.21489", "1.23620", "1.25963", "1.28559", "1.31467", "1.34768", "1.38581", "1.43098", "1.48650", "1.55909", "14.029", "15.119", "16.053", "16.888", "17.653", "18.364", "19.033", "19.669", "20.276", "20.861", "21.426", "21.974", "22.507", "23.027", "23.535", "24.034", "24.523", "25.477", "26.404", "27.309", "28.194", "29.063", "29.918", "30.761", "31.593", "32.415", "33.229", "34.036", "34.835", "35.629", "36.417", "37.200", "37.978", "38.753", "39.523", "40.290", "41.054", "41.815", "42.573", "43.329", "44.082", "44.833", "48.560", "52.251", "55.914", "59.556", "63.182", "66.796", "73.996", "81.168" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1006.80", "1006.70", "1006.25", "1005.50", "1004.48", "1003.23", "1001.75", "1000.08", "998.23", "996.20", "994.01", "991.67", "989.18", "986.56", "983.80", "980.92", "977.91", "974.79", "971.56", "968.21", "964.75", "961.19", "957.52", "953.74", "949.87", "945.89", "941.81", "937.63", "933.36", "928.98", "924.49", "919.91", "915.22", "910.43", "905.54", "900.53", "895.42", "890.19", "884.84", "879.38", "873.80", "862.24", "850.14", "837.44", "824.08", "809.98", "795.05", "779.16", "762.12", "743.72", "723.60", "701.25", "675.80", "645.65", "83.356", "75.577", "70.284", "66.264", "63.028", "60.323", "58.003", "55.974", "54.173", "52.554", "51.086", "49.743", "48.505", "47.359", "46.292", "45.294", "44.357", "42.640", "41.098", "39.701", "38.425", "37.252", "36.166", "35.158", "34.218", "33.337", "32.509", "31.729", "30.993", "30.295", "29.633", "29.003", "28.404", "27.831", "27.285", "26.762", "26.261", "25.780", "25.318", "24.874", "24.447", "24.035", "22.183", "20.612", "19.259", "18.079", "17.040", "16.117", "14.548", "13.262" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "14.07", "34.83", "55.57", "76.29", "97.00", "117.72", "138.44", "159.16", "179.89", "200.62", "221.37", "242.13", "262.90", "283.68", "304.48", "325.29", "346.12", "366.97", "387.83", "408.72", "429.63", "450.57", "471.54", "492.54", "513.57", "534.63", "555.74", "576.89", "598.09", "619.33", "640.63", "661.99", "683.41", "704.89", "726.45", "748.08", "769.79", "791.59", "813.47", "835.46", "857.55", "902.07", "947.10", "992.71", "1039.0", "1086.0", "1134.0", "1183.0", "1233.4", "1285.3", "1339.2", "1395.8", "1456.0", "1521.9", "2672.3", "2753.1", "2816.5", "2870.4", "2918.3", "2961.9", "3002.3", "3040.3", "3076.2", "3110.6", "3143.7", "3175.7", "3206.7", "3237.0", "3266.6", "3295.6", "3324.1", "3379.8", "3434.2", "3487.5", "3539.9", "3591.8", "3643.1", "3694.0", "3744.7", "3795.1", "3845.3", "3895.5", "3945.6", "3995.6", "4045.7", "4095.8", "4145.9", "4196.1", "4246.4", "4296.8", "4347.4", "4398.0", "4448.8", "4499.8", "4550.9", "4602.1", "4860.9", "5124.2", "5391.8", "5663.8", "5939.9", "6219.9", "6790.5", "7373.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00043", "0.07574", "0.14963", "0.22218", "0.29345", "0.36352", "0.43243", "0.50022", "0.56695", "0.63265", "0.69736", "0.76110", "0.82392", "0.88584", "0.94689", "1.0071", "1.0665", "1.1251", "1.1830", "1.2401", "1.2965", "1.3523", "1.4073", "1.4618", "1.5156", "1.5689", "1.6216", "1.6737", "1.7253", "1.7764", "1.8271", "1.8772", "1.9270", "1.9763", "2.0252", "2.0738", "2.1219", "2.1698", "2.2173", "2.2645", "2.3114", "2.4045", "2.4968", "2.5883", "2.6794", "2.7702", "2.8610", "2.9521", "3.0440", "3.1370", "3.2319", "3.3297", "3.4322", "3.5423", "5.4290", "5.5598", "5.6607", "5.7453", "5.8192", "5.8855", "5.9459", "6.0019", "6.0542", "6.1034", "6.1501", "6.1946", "6.2373", "6.2783", "6.3178", "6.3561", "6.3932", "6.4643", "6.5320", "6.5968", "6.6591", "6.7191", "6.7772", "6.8336", "6.8885", "6.9419", "6.9941", "7.0451", "7.0950", "7.1440", "7.1920", "7.2391", "7.2854", "7.3309", "7.3757", "7.4198", "7.4632", "7.5060", "7.5483", "7.5899", "7.6310", "7.6716", "7.8673", "8.0523", "8.2280", "8.3956", "8.5559", "8.7095", "8.9989", "9.2674" ); "specific volume" = ( "cm3/g@L3/M", "0.99325", "0.99335", "0.99379", "0.99453", "0.99554", "0.99678", "0.99825", "0.99992", "1.00178", "1.00382", "1.00603", "1.00840", "1.01094", "1.01363", "1.01647", "1.01945", "1.02258", "1.02586", "1.02928", "1.03284", "1.03654", "1.04038", "1.04437", "1.04850", "1.05278", "1.05720", "1.06178", "1.06651", "1.07140", "1.07646", "1.08167", "1.08706", "1.09263", "1.09838", "1.10432", "1.11046", "1.11680", "1.12336", "1.13014", "1.13716", "1.14443", "1.15977", "1.17628", "1.19412", "1.21348", "1.23459", "1.25778", "1.28344", "1.31212", "1.34460", "1.38198", "1.42603", "1.47972", "1.54883", "11.997", "13.232", "14.228", "15.091", "15.866", "16.577", "17.240", "17.865", "18.459", "19.028", "19.575", "20.104", "20.616", "21.115", "21.602", "22.078", "22.544", "23.452", "24.332", "25.188", "26.025", "26.845", "27.650", "28.443", "29.225", "29.997", "30.761", "31.517", "32.266", "33.009", "33.746", "34.479", "35.207", "35.931", "36.650", "37.367", "38.080", "38.790", "39.498", "40.203", "40.905", "41.605", "45.079", "48.516", "51.925", "55.314", "58.687", "62.047", "68.739", "75.404" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1007.29", "1007.17", "1006.71", "1005.95", "1004.93", "1003.66", "1002.19", "1000.51", "998.65", "996.62", "994.43", "992.09", "989.60", "986.98", "984.23", "981.35", "978.35", "975.23", "972.00", "968.65", "965.20", "961.64", "957.98", "954.21", "950.35", "946.38", "942.31", "938.14", "933.87", "929.50", "925.03", "920.46", "915.79", "911.01", "906.13", "901.14", "896.04", "890.83", "885.51", "880.06", "874.50", "862.99", "850.95", "838.31", "825.03", "811.03", "796.20", "780.44", "763.58", "745.39", "725.55", "703.60", "678.77", "649.64", "613.07", "87.100", "79.476", "74.115", "69.984", "66.630", "63.812", "61.387", "59.260", "57.368", "55.666", "54.121", "52.706", "51.402", "50.193", "49.067", "48.014", "46.092", "44.376", "42.828", "41.419", "40.127", "38.935", "37.831", "36.802", "35.841", "34.939", "34.091", "33.290", "32.533", "31.815", "31.132", "30.483", "29.864", "29.273", "28.708", "28.167", "27.648", "27.150", "26.671", "26.211", "25.768", "23.774", "22.085", "20.632", "19.366", "18.251", "17.262", "15.580", "14.203" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "15.07", "35.81", "56.53", "77.23", "97.93", "118.63", "139.34", "160.05", "180.77", "201.49", "222.23", "242.98", "263.74", "284.51", "305.30", "326.10", "346.92", "367.75", "388.61", "409.49", "430.39", "451.32", "472.27", "493.26", "514.28", "535.33", "556.43", "577.57", "598.75", "619.98", "641.27", "662.61", "684.01", "705.48", "727.02", "748.63", "770.32", "792.10", "813.97", "835.93", "857.99", "902.46", "947.43", "992.97", "1039.2", "1086.1", "1134.0", "1182.9", "1233.0", "1284.7", "1338.3", "1394.4", "1454.0", "1518.8", "1592.4", "2693.1", "2769.7", "2831.4", "2884.7", "2932.2", "2975.7", "3016.1", "3054.0", "3090.1", "3124.7", "3157.9", "3190.1", "3221.3", "3251.8", "3281.6", "3310.8", "3367.8", "3423.2", "3477.4", "3530.6", "3583.1", "3635.1", "3686.5", "3737.6", "3788.5", "3839.1", "3889.6", "3940.0", "3990.4", "4040.7", "4091.1", "4141.4", "4191.9", "4242.4", "4293.0", "4343.7", "4394.5", "4445.5", "4496.6", "4547.8", "4599.2", "4858.6", "5122.3", "5390.3", "5662.5", "5938.9", "6219.1", "6790.0", "7373.5" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00045", "0.07569", "0.14951", "0.22200", "0.29323", "0.36325", "0.43211", "0.49987", "0.56656", "0.63223", "0.69690", "0.76061", "0.82340", "0.88529", "0.94631", "1.0065", "1.0659", "1.1245", "1.1823", "1.2394", "1.2958", "1.3515", "1.4065", "1.4610", "1.5148", "1.5680", "1.6206", "1.6727", "1.7243", "1.7754", "1.8260", "1.8762", "1.9259", "1.9751", "2.0240", "2.0725", "2.1206", "2.1684", "2.2159", "2.2631", "2.3100", "2.4030", "2.4951", "2.5865", "2.6774", "2.7680", "2.8586", "2.9495", "3.0409", "3.1335", "3.2279", "3.3250", "3.4263", "3.5345", "3.6555", "5.4437", "5.5657", "5.6625", "5.7446", "5.8168", "5.8819", "5.9415", "5.9967", "6.0484", "6.0971", "6.1434", "6.1876", "6.2299", "6.2706", "6.3099", "6.3480", "6.4207", "6.4897", "6.5556", "6.6187", "6.6796", "6.7384", "6.7954", "6.8508", "6.9047", "6.9572", "7.0086", "7.0589", "7.1081", "7.1563", "7.2037", "7.2502", "7.2959", "7.3409", "7.3852", "7.4288", "7.4717", "7.5141", "7.5559", "7.5971", "7.6378", "7.8339", "8.0192", "8.1952", "8.3630", "8.5234", "8.6771", "8.9666", "9.2353" ); "specific volume" = ( "cm3/g@L3/M", "0.99276", "0.99288", "0.99334", "0.99409", "0.99510", "0.99635", "0.99782", "0.99949", "1.00135", "1.00339", "1.00560", "1.00797", "1.01051", "1.01319", "1.01603", "1.01901", "1.02213", "1.02540", "1.02881", "1.03236", "1.03605", "1.03989", "1.04386", "1.04798", "1.05225", "1.05666", "1.06122", "1.06594", "1.07081", "1.07585", "1.08104", "1.08641", "1.09196", "1.09768", "1.10360", "1.10971", "1.11602", "1.12255", "1.12930", "1.13628", "1.14351", "1.15876", "1.17516", "1.19287", "1.21208", "1.23301", "1.25596", "1.28133", "1.30963", "1.34159", "1.37826", "1.42125", "1.47326", "1.53932", "1.63113", "11.481", "12.582", "13.493", "14.289", "15.008", "15.671", "16.290", "16.875", "17.431", "17.964", "18.477", "18.973", "19.455", "19.923", "20.380", "20.827", "21.696", "22.534", "23.349", "24.144", "24.921", "25.684", "26.433", "27.172", "27.901", "28.621", "29.334", "30.039", "30.738", "31.432", "32.121", "32.805", "33.485", "34.161", "34.833", "35.503", "36.169", "36.832", "37.493", "38.152", "38.808", "42.062", "45.279", "48.468", "51.637", "54.790", "57.931", "64.183", "70.408" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1007.78", "1007.65", "1007.17", "1006.40", "1005.37", "1004.10", "1002.62", "1000.94", "999.08", "997.04", "994.85", "992.51", "990.03", "987.40", "984.65", "981.78", "978.78", "975.66", "972.44", "969.10", "965.65", "962.10", "958.44", "954.68", "950.82", "946.86", "942.80", "938.64", "934.38", "930.03", "925.57", "921.01", "916.35", "911.58", "906.72", "901.74", "896.66", "891.47", "886.17", "880.74", "875.20", "863.74", "851.75", "839.18", "825.97", "812.06", "797.34", "781.71", "765.01", "747.02", "727.46", "705.89", "681.61", "653.41", "618.70", "102.40", "90.407", "83.012", "77.652", "73.457", "70.021", "67.117", "64.606", "62.398", "60.429", "58.654", "57.040", "55.561", "54.197", "52.931", "51.752", "49.610", "47.708", "45.999", "44.450", "43.034", "41.731", "40.527", "39.407", "38.363", "37.385", "36.465", "35.599", "34.780", "34.005", "33.269", "32.570", "31.903", "31.267", "30.659", "30.078", "29.520", "28.985", "28.472", "27.978", "27.502", "25.366", "23.559", "22.005", "20.652", "19.462", "18.406", "16.612", "15.143" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "16.06", "36.78", "57.48", "78.18", "98.86", "119.55", "140.24", "160.94", "181.65", "202.36", "223.09", "243.82", "264.57", "285.34", "306.11", "326.91", "347.71", "368.54", "389.39", "410.25", "431.14", "452.06", "473.01", "493.98", "514.99", "536.03", "557.12", "578.24", "599.41", "620.63", "641.90", "663.23", "684.62", "706.07", "727.59", "749.18", "770.86", "792.61", "814.46", "836.40", "858.44", "902.86", "947.77", "993.24", "1039.4", "1086.2", "1133.9", "1182.7", "1232.7", "1284.1", "1337.4", "1393.2", "1452.1", "1515.8", "1587.4", "2617.0", "2715.8", "2788.4", "2848.3", "2900.6", "2947.6", "2990.7", "3031.0", "3069.0", "3105.1", "3139.7", "3173.0", "3205.3", "3236.7", "3267.3", "3297.3", "3355.6", "3412.1", "3467.2", "3521.2", "3574.4", "3627.0", "3679.0", "3730.6", "3781.9", "3832.9", "3883.8", "3934.5", "3985.1", "4035.7", "4086.3", "4137.0", "4187.6", "4238.3", "4289.1", "4340.0", "4391.0", "4442.2", "4493.4", "4544.8", "4596.3", "4856.3", "5120.4", "5388.7", "5661.3", "5937.9", "6218.3", "6789.6", "7373.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00046", "0.07563", "0.14939", "0.22182", "0.29300", "0.36297", "0.43180", "0.49952", "0.56617", "0.63180", "0.69644", "0.76012", "0.82288", "0.88474", "0.94573", "1.0059", "1.0652", "1.1238", "1.1816", "1.2387", "1.2950", "1.3507", "1.4057", "1.4601", "1.5139", "1.5671", "1.6197", "1.6718", "1.7233", "1.7744", "1.8250", "1.8751", "1.9247", "1.9740", "2.0228", "2.0713", "2.1194", "2.1671", "2.2145", "2.2617", "2.3085", "2.4014", "2.4934", "2.5847", "2.6754", "2.7658", "2.8562", "2.9468", "3.0380", "3.1302", "3.2240", "3.3204", "3.4206", "3.5271", "3.6447", "5.3045", "5.4619", "5.5756", "5.6681", "5.7476", "5.8179", "5.8816", "5.9401", "5.9945", "6.0455", "6.0937", "6.1395", "6.1832", "6.2252", "6.2656", "6.3046", "6.3790", "6.4493", "6.5163", "6.5804", "6.6421", "6.7016", "6.7591", "6.8150", "6.8694", "6.9224", "6.9741", "7.0247", "7.0742", "7.1227", "7.1703", "7.2171", "7.2630", "7.3082", "7.3526", "7.3964", "7.4395", "7.4819", "7.5238", "7.5652", "7.6060", "7.8025", "7.9882", "8.1644", "8.3323", "8.4929", "8.6467", "8.9364", "9.2052" ); "specific volume" = ( "cm3/g@L3/M", "0.99228", "0.99241", "0.99288", "0.99364", "0.99466", "0.99592", "0.99739", "0.99906", "1.00092", "1.00296", "1.00517", "1.00755", "1.01007", "1.01276", "1.01559", "1.01856", "1.02168", "1.02494", "1.02835", "1.03189", "1.03557", "1.03939", "1.04336", "1.04747", "1.05172", "1.05612", "1.06067", "1.06537", "1.07022", "1.07524", "1.08042", "1.08577", "1.09129", "1.09699", "1.10288", "1.10896", "1.11525", "1.12174", "1.12846", "1.13540", "1.14259", "1.15775", "1.17405", "1.19164", "1.21069", "1.23144", "1.25417", "1.27925", "1.30718", "1.33865", "1.37464", "1.41665", "1.46711", "1.53044", "1.61630", "9.7658", "11.061", "12.046", "12.878", "13.613", "14.281", "14.899", "15.478", "16.026", "16.548", "17.049", "17.531", "17.998", "18.451", "18.892", "19.323", "20.157", "20.961", "21.739", "22.497", "23.238", "23.963", "24.675", "25.376", "26.067", "26.749", "27.423", "28.091", "28.752", "29.407", "30.058", "30.703", "31.345", "31.983", "32.617", "33.247", "33.875", "34.500", "35.123", "35.743", "36.361", "39.422", "42.447", "45.444", "48.420", "51.381", "54.329", "60.197", "66.037" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1008.27", "1008.12", "1007.63", "1006.85", "1005.81", "1004.54", "1003.05", "1001.37", "999.50", "997.47", "995.27", "992.93", "990.45", "987.83", "985.08", "982.20", "979.21", "976.10", "972.87", "969.54", "966.10", "962.55", "958.90", "955.15", "951.30", "947.35", "943.30", "939.15", "934.90", "930.55", "926.10", "921.55", "916.91", "912.16", "907.30", "902.35", "897.28", "892.11", "886.82", "881.42", "875.90", "864.49", "852.55", "840.04", "826.91", "813.08", "798.47", "782.96", "766.42", "748.63", "729.33", "708.12", "684.36", "656.98", "623.85", "579.05", "104.12", "93.345", "86.222", "80.914", "76.697", "73.209", "70.241", "67.664", "65.389", "63.356", "61.519", "59.846", "58.310", "56.892", "55.575", "53.197", "51.096", "49.217", "47.519", "45.973", "44.555", "43.246", "42.033", "40.902", "39.845", "38.853", "37.919", "37.038", "36.205", "35.414", "34.663", "33.948", "33.266", "32.615", "31.992", "31.396", "30.823", "30.274", "29.746", "29.238", "26.959", "25.033", "23.378", "21.938", "20.673", "19.550", "17.643", "16.082" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "17.06", "37.76", "58.44", "79.12", "99.79", "120.46", "141.14", "161.83", "182.52", "203.23", "223.94", "244.67", "265.41", "286.16", "306.93", "327.71", "348.51", "369.33", "390.16", "411.02", "431.90", "452.81", "473.74", "494.70", "515.70", "536.73", "557.80", "578.92", "600.07", "621.28", "642.54", "663.85", "685.22", "706.66", "728.16", "749.74", "771.39", "793.13", "814.96", "836.88", "858.90", "903.26", "948.11", "993.51", "1039.5", "1086.3", "1133.9", "1182.5", "1232.3", "1283.6", "1336.6", "1391.9", "1450.3", "1513.1", "1582.9", "1666.6", "2651.1", "2739.9", "2808.7", "2866.7", "2917.9", "2964.2", "3007.0", "3047.1", "3084.9", "3121.0", "3155.6", "3189.0", "3221.4", "3252.9", "3283.6", "3343.2", "3400.8", "3456.9", "3511.7", "3565.7", "3618.8", "3671.4", "3723.5", "3775.2", "3826.6", "3877.9", "3928.9", "3979.9", "4030.8", "4081.6", "4132.5", "4183.4", "4234.3", "4285.3", "4336.4", "4387.5", "4438.8", "4490.2", "4541.7", "4593.4", "4853.9", "5118.5", "5387.2", "5660.1", "5936.9", "6217.5", "6789.1", "7373.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00047", "0.07556", "0.14926", "0.22164", "0.29277", "0.36270", "0.43148", "0.49916", "0.56578", "0.63138", "0.69598", "0.75963", "0.82236", "0.88419", "0.94515", "1.0053", "1.0646", "1.1231", "1.1809", "1.2379", "1.2943", "1.3499", "1.4049", "1.4593", "1.5130", "1.5662", "1.6188", "1.6708", "1.7224", "1.7734", "1.8239", "1.8740", "1.9236", "1.9728", "2.0216", "2.0700", "2.1181", "2.1658", "2.2132", "2.2602", "2.3070", "2.3998", "2.4917", "2.5828", "2.6734", "2.7637", "2.8538", "2.9442", "3.0350", "3.1268", "3.2202", "3.3158", "3.4151", "3.5201", "3.6347", "3.7702", "5.3434", "5.4826", "5.5888", "5.6770", "5.7536", "5.8219", "5.8841", "5.9414", "5.9949", "6.0451", "6.0927", "6.1379", "6.1812", "6.2227", "6.2628", "6.3389", "6.4106", "6.4787", "6.5438", "6.6063", "6.6665", "6.7247", "6.7811", "6.8360", "6.8894", "6.9415", "6.9924", "7.0422", "7.0910", "7.1388", "7.1858", "7.2319", "7.2772", "7.3218", "7.3658", "7.4090", "7.4516", "7.4936", "7.5351", "7.5760", "7.7730", "7.9589", "8.1354", "8.3035", "8.4642", "8.6182", "8.9080", "9.1769" ); "specific volume" = ( "cm3/g@L3/M", "0.99179", "0.99194", "0.99242", "0.99319", "0.99422", "0.99548", "0.99696", "0.99864", "1.00050", "1.00254", "1.00475", "1.00712", "1.00964", "1.01232", "1.01515", "1.01812", "1.02123", "1.02449", "1.02788", "1.03142", "1.03509", "1.03890", "1.04286", "1.04695", "1.05119", "1.05558", "1.06011", "1.06480", "1.06964", "1.07464", "1.07980", "1.08512", "1.09062", "1.09630", "1.10217", "1.10822", "1.11448", "1.12094", "1.12762", "1.13453", "1.14168", "1.15676", "1.17295", "1.19042", "1.20932", "1.22989", "1.25240", "1.27720", "1.30477", "1.33577", "1.37112", "1.41219", "1.46122", "1.52211", "1.60296", "1.72698", "9.6038", "10.713", "11.598", "12.359", "13.038", "13.660", "14.237", "14.779", "15.293", "15.784", "16.255", "16.710", "17.150", "17.577", "17.994", "18.798", "19.571", "20.318", "21.044", "21.752", "22.444", "23.123", "23.791", "24.449", "25.097", "25.738", "26.372", "26.999", "27.621", "28.237", "28.849", "29.457", "30.061", "30.661", "31.258", "31.852", "32.443", "33.031", "33.618", "34.202", "37.093", "39.948", "42.775", "45.582", "48.373", "51.151", "56.679", "62.181" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1008.76", "1008.59", "1008.09", "1007.30", "1006.25", "1004.97", "1003.48", "1001.79", "999.92", "997.89", "995.69", "993.35", "990.87", "988.25", "985.50", "982.63", "979.64", "976.53", "973.31", "969.98", "966.55", "963.01", "959.36", "955.62", "951.77", "947.83", "943.79", "939.65", "935.41", "931.07", "926.63", "922.10", "917.46", "912.73", "907.89", "902.95", "897.90", "892.74", "887.47", "882.09", "876.59", "865.23", "853.34", "840.90", "827.84", "814.09", "799.58", "784.20", "767.81", "750.21", "731.16", "710.29", "687.01", "660.39", "628.61", "587.20", "123.29", "105.78", "95.974", "89.143", "83.924", "79.716", "76.202", "73.193", "70.566", "68.239", "66.152", "64.263", "62.538", "60.953", "59.488", "56.854", "54.541", "52.481", "50.628", "48.945", "47.406", "45.989", "44.678", "43.459", "42.321", "41.254", "40.251", "39.306", "38.413", "37.566", "36.763", "35.999", "35.270", "34.575", "33.911", "33.274", "32.665", "32.080", "31.517", "30.977", "28.553", "26.506", "24.750", "23.224", "21.882", "20.693", "18.673", "17.021" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "18.05", "38.73", "59.40", "80.06", "100.72", "121.38", "142.04", "162.72", "183.40", "204.10", "224.80", "245.52", "266.25", "286.99", "307.75", "328.52", "349.31", "370.11", "390.94", "411.79", "432.66", "453.55", "474.47", "495.43", "516.41", "537.43", "558.49", "579.59", "600.74", "621.93", "643.17", "664.47", "685.83", "707.25", "728.74", "750.30", "771.93", "793.65", "815.46", "837.35", "859.35", "903.66", "948.46", "993.79", "1039.7", "1086.4", "1133.9", "1182.4", "1232.0", "1283.1", "1335.8", "1390.8", "1448.6", "1510.6", "1578.8", "1658.7", "2566.1", "2683.9", "2764.9", "2830.3", "2886.4", "2936.4", "2982.0", "3024.4", "3064.1", "3101.8", "3137.7", "3172.3", "3205.7", "3238.1", "3269.7", "3330.7", "3389.5", "3446.5", "3502.2", "3556.8", "3610.6", "3663.8", "3716.3", "3768.5", "3820.4", "3872.0", "3923.4", "3974.6", "4025.8", "4076.9", "4128.0", "4179.1", "4230.3", "4281.4", "4332.7", "4384.0", "4435.5", "4487.0", "4538.7", "4590.5", "4851.6", "5116.6", "5385.7", "5658.8", "5935.9", "6216.7", "6788.6", "7372.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00047", "0.07550", "0.14914", "0.22146", "0.29254", "0.36242", "0.43117", "0.49881", "0.56539", "0.63095", "0.69553", "0.75914", "0.82184", "0.88364", "0.94457", "1.0047", "1.0640", "1.1225", "1.1802", "1.2372", "1.2935", "1.3492", "1.4041", "1.4585", "1.5122", "1.5653", "1.6179", "1.6699", "1.7214", "1.7724", "1.8229", "1.8729", "1.9225", "1.9717", "2.0204", "2.0688", "2.1168", "2.1645", "2.2118", "2.2588", "2.3056", "2.3983", "2.4900", "2.5810", "2.6715", "2.7615", "2.8515", "2.9416", "3.0321", "3.1236", "3.2164", "3.3114", "3.4098", "3.5133", "3.6255", "3.7547", "5.1952", "5.3799", "5.5050", "5.6042", "5.6883", "5.7620", "5.8283", "5.8890", "5.9451", "5.9975", "6.0469", "6.0938", "6.1384", "6.1812", "6.2223", "6.3002", "6.3734", "6.4427", "6.5087", "6.5720", "6.6329", "6.6918", "6.7487", "6.8041", "6.8579", "6.9104", "6.9616", "7.0117", "7.0608", "7.1089", "7.1560", "7.2024", "7.2479", "7.2927", "7.3368", "7.3801", "7.4229", "7.4650", "7.5066", "7.5476", "7.7450", "7.9313", "8.1080", "8.2763", "8.4372", "8.5912", "8.8813", "9.1502" ); "specific volume" = ( "cm3/g@L3/M", "0.99131", "0.99148", "0.99197", "0.99275", "0.99378", "0.99505", "0.99653", "0.99821", "1.00008", "1.00212", "1.00432", "1.00669", "1.00922", "1.01189", "1.01471", "1.01768", "1.02079", "1.02403", "1.02742", "1.03095", "1.03461", "1.03841", "1.04236", "1.04644", "1.05067", "1.05504", "1.05956", "1.06423", "1.06905", "1.07403", "1.07918", "1.08448", "1.08996", "1.09562", "1.10146", "1.10749", "1.11371", "1.12015", "1.12680", "1.13367", "1.14078", "1.15577", "1.17186", "1.18921", "1.20797", "1.22836", "1.25065", "1.27518", "1.30241", "1.33296", "1.36769", "1.40789", "1.45558", "1.51426", "1.59081", "1.70299", "8.1112", "9.4535", "10.419", "11.218", "11.916", "12.545", "13.123", "13.663", "14.171", "14.654", "15.117", "15.561", "15.990", "16.406", "16.810", "17.589", "18.335", "19.054", "19.752", "20.431", "21.094", "21.744", "22.382", "23.010", "23.629", "24.240", "24.844", "25.441", "26.033", "26.619", "27.201", "27.779", "28.352", "28.923", "29.489", "30.053", "30.614", "31.173", "31.729", "32.282", "35.023", "37.727", "40.403", "43.059", "45.699", "48.327", "53.553", "58.753" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1009.25", "1009.07", "1008.55", "1007.75", "1006.69", "1005.41", "1003.91", "1002.22", "1000.35", "998.31", "996.11", "993.77", "991.29", "988.67", "985.92", "983.05", "980.07", "976.96", "973.75", "970.42", "966.99", "963.46", "959.82", "956.08", "952.25", "948.31", "944.28", "940.14", "935.91", "931.59", "927.16", "922.64", "918.02", "913.29", "908.47", "903.54", "898.51", "893.37", "888.12", "882.76", "877.28", "865.96", "854.13", "841.75", "828.76", "815.10", "800.68", "785.42", "769.17", "751.77", "732.95", "712.40", "689.58", "663.64", "633.06", "594.30", "533.69", "121.66", "107.34", "98.345", "91.810", "86.704", "82.531", "79.013", "75.979", "73.318", "70.950", "68.821", "66.889", "65.121", "63.494", "60.585", "58.044", "55.794", "53.777", "51.951", "50.286", "48.757", "47.344", "46.034", "44.812", "43.668", "42.595", "41.584", "40.630", "39.727", "38.870", "38.055", "37.280", "36.540", "35.833", "35.157", "34.509", "33.887", "33.291", "32.717", "30.147", "27.980", "26.122", "24.509", "23.091", "21.834", "19.702", "17.958" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "19.04", "39.70", "60.35", "81.00", "101.64", "122.29", "142.94", "163.61", "184.28", "204.96", "225.66", "246.36", "267.08", "287.81", "308.56", "329.32", "350.10", "370.90", "391.72", "412.55", "433.41", "454.30", "475.21", "496.15", "517.13", "538.13", "559.18", "580.27", "601.40", "622.58", "643.81", "665.10", "686.44", "707.84", "729.31", "750.86", "772.48", "794.17", "815.96", "837.83", "859.81", "904.07", "948.81", "994.08", "1040.0", "1086.5", "1133.9", "1182.3", "1231.8", "1282.6", "1335.1", "1389.7", "1447.0", "1508.2", "1575.0", "1651.9", "1755.2", "2616.3", "2715.9", "2790.7", "2852.8", "2907.1", "2956.0", "3000.8", "3042.6", "3082.0", "3119.4", "3155.3", "3189.8", "3223.1", "3255.5", "3318.0", "3378.0", "3436.0", "3492.6", "3548.0", "3602.4", "3656.1", "3709.2", "3761.8", "3814.1", "3866.0", "3917.8", "3969.3", "4020.8", "4072.2", "4123.5", "4174.9", "4226.2", "4277.6", "4329.0", "4380.6", "4432.2", "4483.9", "4535.7", "4587.6", "4849.3", "5114.7", "5384.2", "5657.6", "5934.9", "6215.9", "6788.2", "7372.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00047", "0.07543", "0.14901", "0.22128", "0.29231", "0.36215", "0.43085", "0.49845", "0.56500", "0.63053", "0.69507", "0.75865", "0.82132", "0.88309", "0.94399", "1.0041", "1.0633", "1.1218", "1.1795", "1.2365", "1.2928", "1.3484", "1.4033", "1.4576", "1.5113", "1.5644", "1.6169", "1.6689", "1.7204", "1.7713", "1.8218", "1.8718", "1.9214", "1.9705", "2.0192", "2.0676", "2.1156", "2.1632", "2.2105", "2.2574", "2.3041", "2.3967", "2.4884", "2.5792", "2.6695", "2.7594", "2.8492", "2.9390", "3.0293", "3.1203", "3.2127", "3.3071", "3.4046", "3.5068", "3.6168", "3.7412", "3.9054", "5.2610", "5.4147", "5.5284", "5.6215", "5.7015", "5.7725", "5.8368", "5.8958", "5.9506", "6.0020", "6.0506", "6.0967", "6.1407", "6.1829", "6.2627", "6.3374", "6.4079", "6.4750", "6.5391", "6.6008", "6.6603", "6.7178", "6.7736", "6.8278", "6.8807", "6.9323", "6.9827", "7.0320", "7.0803", "7.1277", "7.1743", "7.2200", "7.2649", "7.3092", "7.3527", "7.3956", "7.4379", "7.4796", "7.5207", "7.7185", "7.9051", "8.0820", "8.2505", "8.4115", "8.5657", "8.8559", "9.1249" ); "specific volume" = ( "cm3/g@L3/M", "0.99084", "0.99102", "0.99152", "0.99231", "0.99335", "0.99462", "0.99611", "0.99779", "0.99965", "1.00169", "1.00390", "1.00627", "1.00879", "1.01146", "1.01428", "1.01724", "1.02034", "1.02358", "1.02696", "1.03048", "1.03413", "1.03793", "1.04186", "1.04593", "1.05015", "1.05451", "1.05901", "1.06367", "1.06847", "1.07344", "1.07856", "1.08385", "1.08930", "1.09494", "1.10075", "1.10675", "1.11295", "1.11936", "1.12597", "1.13281", "1.13989", "1.15479", "1.17078", "1.18801", "1.20663", "1.22685", "1.24893", "1.27320", "1.30010", "1.33020", "1.36434", "1.40371", "1.45017", "1.50683", "1.57964", "1.68265", "1.87374", "8.2199", "9.3160", "10.168", "10.892", "11.533", "12.117", "12.656", "13.162", "13.639", "14.094", "14.530", "14.950", "15.356", "15.750", "16.506", "17.228", "17.923", "18.595", "19.249", "19.886", "20.510", "21.122", "21.723", "22.316", "22.900", "23.477", "24.048", "24.612", "25.172", "25.727", "26.278", "26.824", "27.367", "27.907", "28.444", "28.978", "29.509", "30.038", "30.565", "33.171", "35.740", "38.281", "40.802", "43.307", "45.799", "50.756", "55.685" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1009.74", "1009.54", "1009.01", "1008.20", "1007.13", "1005.84", "1004.34", "1002.64", "1000.77", "998.73", "996.53", "994.19", "991.71", "989.09", "986.35", "983.48", "980.49", "977.39", "974.18", "970.86", "967.44", "963.91", "960.28", "956.55", "952.72", "948.79", "944.76", "940.64", "936.42", "932.10", "927.69", "923.18", "918.57", "913.86", "909.05", "904.14", "899.12", "894.00", "888.77", "883.42", "877.97", "866.69", "854.91", "842.59", "829.67", "816.09", "801.78", "786.63", "770.52", "753.29", "734.71", "714.46", "692.06", "666.76", "637.23", "600.64", "548.01", "144.44", "121.07", "108.81", "100.50", "94.255", "89.278", "85.158", "81.652", "78.609", "75.926", "73.530", "71.368", "69.401", "67.598", "64.392", "61.609", "59.156", "56.966", "54.991", "53.194", "51.548", "50.032", "48.626", "47.318", "46.096", "44.950", "43.873", "42.856", "41.895", "40.983", "40.118", "39.294", "38.509", "37.759", "37.043", "36.356", "35.698", "35.066", "34.459", "31.742", "29.454", "27.494", "25.793", "24.299", "22.975", "20.730", "18.895" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "20.03", "40.68", "61.31", "81.94", "102.57", "123.20", "143.84", "164.49", "185.16", "205.83", "226.51", "247.21", "267.92", "288.64", "309.38", "330.13", "350.90", "371.69", "392.49", "413.32", "434.17", "455.04", "475.94", "496.88", "517.84", "538.84", "559.87", "580.95", "602.07", "623.23", "644.45", "665.72", "687.05", "708.44", "729.89", "751.42", "773.02", "794.70", "816.46", "838.32", "860.27", "904.48", "949.16", "994.37", "1040.2", "1086.7", "1134.0", "1182.2", "1231.5", "1282.1", "1334.4", "1388.6", "1445.5", "1505.9", "1571.6", "1646.0", "1740.1", "2526.5", "2659.4", "2747.2", "2816.9", "2876.2", "2928.7", "2976.4", "3020.4", "3061.7", "3100.7", "3137.8", "3173.5", "3207.9", "3241.2", "3305.2", "3366.4", "3425.4", "3482.9", "3539.0", "3594.1", "3648.4", "3702.0", "3755.1", "3807.8", "3860.1", "3912.2", "3964.1", "4015.8", "4067.5", "4119.0", "4170.6", "4222.2", "4273.7", "4325.4", "4377.1", "4428.8", "4480.7", "4532.6", "4584.7", "4846.9", "5112.8", "5382.6", "5656.4", "5933.9", "6215.1", "6787.7", "7372.3" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00047", "0.07536", "0.14888", "0.22109", "0.29207", "0.36187", "0.43053", "0.49810", "0.56461", "0.63010", "0.69461", "0.75817", "0.82080", "0.88254", "0.94341", "1.0035", "1.0627", "1.1211", "1.1788", "1.2358", "1.2920", "1.3476", "1.4025", "1.4568", "1.5105", "1.5635", "1.6160", "1.6680", "1.7194", "1.7703", "1.8208", "1.8707", "1.9203", "1.9694", "2.0181", "2.0664", "2.1143", "2.1619", "2.2091", "2.2561", "2.3027", "2.3952", "2.4867", "2.5774", "2.6676", "2.7573", "2.8469", "2.9365", "3.0265", "3.1172", "3.2091", "3.3029", "3.3996", "3.5006", "3.6086", "3.7290", "3.8787", "5.1097", "5.3149", "5.4483", "5.5525", "5.6400", "5.7163", "5.7847", "5.8469", "5.9043", "5.9579", "6.0082", "6.0559", "6.1012", "6.1446", "6.2263", "6.3025", "6.3743", "6.4424", "6.5075", "6.5699", "6.6300", "6.6881", "6.7443", "6.7990", "6.8523", "6.9042", "6.9549", "7.0045", "7.0531", "7.1007", "7.1475", "7.1934", "7.2385", "7.2829", "7.3266", "7.3696", "7.4120", "7.4538", "7.4950", "7.6933", "7.8802", "8.0574", "8.2260", "8.3871", "8.5414", "8.8318", "9.1010" ); "specific volume" = ( "cm3/g@L3/M", "0.99036", "0.99055", "0.99107", "0.99187", "0.99292", "0.99419", "0.99568", "0.99737", "0.99923", "1.00127", "1.00348", "1.00585", "1.00836", "1.01103", "1.01384", "1.01680", "1.01989", "1.02313", "1.02650", "1.03001", "1.03366", "1.03744", "1.04136", "1.04543", "1.04963", "1.05398", "1.05847", "1.06311", "1.06790", "1.07284", "1.07795", "1.08321", "1.08865", "1.09426", "1.10005", "1.10603", "1.11220", "1.11857", "1.12516", "1.13196", "1.13900", "1.15381", "1.16971", "1.18682", "1.20530", "1.22536", "1.24723", "1.27125", "1.29782", "1.32750", "1.36108", "1.39966", "1.44496", "1.49978", "1.56929", "1.66490", "1.82479", "6.9234", "8.2599", "9.1906", "9.9503", "10.610", "11.201", "11.743", "12.247", "12.721", "13.171", "13.600", "14.012", "14.409", "14.793", "15.530", "16.231", "16.904", "17.554", "18.185", "18.799", "19.399", "19.987", "20.565", "21.133", "21.694", "22.247", "22.793", "23.334", "23.869", "24.400", "24.927", "25.449", "25.968", "26.483", "26.996", "27.506", "28.013", "28.518", "29.020", "31.504", "33.952", "36.371", "38.771", "41.154", "43.525", "48.238", "52.925" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1010.71", "1010.48", "1009.93", "1009.09", "1008.01", "1006.70", "1005.19", "1003.49", "1001.61", "999.56", "997.37", "995.02", "992.54", "989.93", "987.19", "984.32", "981.35", "978.25", "975.05", "971.74", "968.32", "964.81", "961.19", "957.47", "953.66", "949.74", "945.73", "941.63", "937.43", "933.13", "928.74", "924.25", "919.67", "914.98", "910.20", "905.32", "900.33", "895.24", "890.05", "884.74", "879.32", "868.14", "856.46", "844.25", "831.47", "818.05", "803.92", "789.00", "773.17", "756.28", "738.13", "718.44", "696.82", "672.65", "644.91", "611.67", "568.14", "492.96", "163.31", "135.52", "121.13", "111.48", "104.28", "98.582", "93.886", "89.907", "86.465", "83.439", "80.744", "78.319", "76.116", "72.245", "68.929", "66.034", "63.471", "61.175", "59.099", "57.206", "55.469", "53.865", "52.378", "50.992", "49.696", "48.479", "47.334", "46.253", "45.230", "44.260", "43.339", "42.461", "41.624", "40.824", "40.059", "39.326", "38.623", "37.948", "34.934", "32.401", "30.236", "28.359", "26.713", "25.255", "22.784", "20.765" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "22.01", "42.61", "63.21", "83.81", "104.41", "125.02", "145.64", "166.27", "186.91", "207.56", "228.22", "248.90", "269.59", "290.29", "311.01", "331.74", "352.49", "373.26", "394.05", "414.85", "435.68", "456.54", "477.42", "498.33", "519.27", "540.24", "561.25", "582.31", "603.40", "624.54", "645.73", "666.97", "688.27", "709.63", "731.05", "752.54", "774.11", "795.75", "817.48", "839.29", "861.20", "905.31", "949.88", "994.96", "1040.6", "1086.9", "1134.0", "1182.0", "1231.0", "1281.3", "1333.0", "1386.7", "1442.7", "1501.8", "1565.4", "1635.9", "1719.4", "1842.5", "2504.5", "2643.9", "2735.8", "2808.4", "2870.0", "2924.5", "2973.7", "3019.2", "3061.7", "3101.8", "3140.0", "3176.5", "3211.8", "3279.0", "3342.8", "3404.0", "3463.3", "3521.0", "3577.4", "3632.9", "3687.6", "3741.6", "3795.1", "3848.2", "3901.0", "3953.5", "4005.8", "4058.0", "4110.1", "4162.1", "4214.1", "4266.0", "4318.0", "4370.1", "4422.2", "4474.3", "4526.6", "4578.9", "4842.3", "5109.1", "5379.6", "5653.9", "5932.0", "6213.6", "6786.8", "7371.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00046", "0.07521", "0.14861", "0.22072", "0.29161", "0.36132", "0.42990", "0.49739", "0.56383", "0.62925", "0.69370", "0.75719", "0.81976", "0.88144", "0.94226", "1.0022", "1.0614", "1.1198", "1.1775", "1.2344", "1.2906", "1.3461", "1.4009", "1.4551", "1.5088", "1.5618", "1.6142", "1.6661", "1.7175", "1.7683", "1.8187", "1.8686", "1.9181", "1.9671", "2.0157", "2.0639", "2.1118", "2.1593", "2.2065", "2.2533", "2.2999", "2.3921", "2.4834", "2.5739", "2.6638", "2.7532", "2.8423", "2.9315", "3.0209", "3.1110", "3.2021", "3.2948", "3.3900", "3.4889", "3.5934", "3.7075", "3.8404", "4.0332", "5.0555", "5.2675", "5.4051", "5.5122", "5.6018", "5.6798", "5.7494", "5.8127", "5.8710", "5.9254", "5.9764", "6.0246", "6.0705", "6.1563", "6.2358", "6.3102", "6.3805", "6.4473", "6.5113", "6.5727", "6.6319", "6.6892", "6.7447", "6.7988", "6.8514", "6.9027", "6.9529", "7.0020", "7.0500", "7.0972", "7.1435", "7.1889", "7.2336", "7.2776", "7.3209", "7.3636", "7.4056", "7.4470", "7.6462", "7.8337", "8.0113", "8.1804", "8.3418", "8.4963", "8.7870", "9.0564" ); "specific volume" = ( "cm3/g@L3/M", "0.98941", "0.98963", "0.99017", "0.99099", "0.99205", "0.99334", "0.99484", "0.99653", "0.99840", "1.00044", "1.00264", "1.00500", "1.00752", "1.01018", "1.01298", "1.01593", "1.01901", "1.02223", "1.02559", "1.02908", "1.03271", "1.03648", "1.04038", "1.04442", "1.04860", "1.05292", "1.05738", "1.06199", "1.06675", "1.07166", "1.07673", "1.08196", "1.08735", "1.09292", "1.09866", "1.10458", "1.11070", "1.11701", "1.12354", "1.13027", "1.13724", "1.15189", "1.16759", "1.18448", "1.20269", "1.22242", "1.24390", "1.26743", "1.29338", "1.32227", "1.35478", "1.39190", "1.43509", "1.48666", "1.55060", "1.63487", "1.76012", "2.0286", "6.1234", "7.3787", "8.2556", "8.9702", "9.5893", "10.144", "10.651", "11.123", "11.565", "11.985", "12.385", "12.768", "13.138", "13.842", "14.508", "15.144", "15.755", "16.347", "16.921", "17.481", "18.028", "18.565", "19.092", "19.611", "20.122", "20.627", "21.126", "21.620", "22.109", "22.594", "23.074", "23.551", "24.025", "24.495", "24.963", "25.428", "25.891", "26.352", "28.626", "30.863", "33.073", "35.262", "37.435", "39.596", "43.890", "48.157" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1012.15", "1011.88", "1011.29", "1010.43", "1009.32", "1007.99", "1006.46", "1004.75", "1002.86", "1000.81", "998.61", "996.27", "993.79", "991.17", "988.44", "985.59", "982.61", "979.53", "976.34", "973.05", "969.65", "966.14", "962.54", "958.85", "955.05", "951.16", "947.18", "943.10", "938.93", "934.66", "930.30", "925.85", "921.30", "916.65", "911.91", "907.07", "902.13", "897.09", "891.94", "886.69", "881.33", "870.28", "858.75", "846.71", "834.12", "820.92", "807.06", "792.46", "777.01", "760.59", "743.02", "724.09", "703.49", "680.74", "655.13", "625.45", "589.31", "540.46", "450.82", "215.18", "166.54", "145.28", "131.94", "122.36", "114.96", "108.98", "103.98", "99.701", "95.976", "92.686", "89.744", "84.670", "80.411", "76.752", "73.555", "70.720", "68.180", "65.881", "63.785", "61.861", "60.084", "58.437", "56.901", "55.465", "54.117", "52.848", "51.651", "50.518", "49.443", "48.421", "47.449", "46.521", "45.635", "44.787", "43.975", "43.196", "39.726", "36.822", "34.346", "32.204", "30.327", "28.668", "25.858", "23.565" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "24.96", "45.51", "66.06", "86.62", "107.18", "127.75", "148.33", "168.93", "189.53", "210.15", "230.79", "251.43", "272.09", "292.77", "313.46", "334.16", "354.88", "375.62", "396.38", "417.15", "437.95", "458.78", "479.63", "500.50", "521.41", "542.35", "563.33", "584.35", "605.41", "626.51", "647.66", "668.86", "690.11", "711.43", "732.80", "754.25", "775.76", "797.35", "819.02", "840.77", "862.61", "906.59", "951.00", "995.89", "1041.3", "1087.4", "1134.2", "1181.9", "1230.5", "1280.2", "1331.3", "1384.1", "1438.9", "1496.4", "1557.5", "1623.9", "1698.6", "1789.8", "1935.7", "2395.7", "2578.6", "2687.1", "2769.4", "2837.8", "2897.3", "2950.6", "2999.4", "3044.6", "3087.2", "3127.5", "3165.9", "3238.4", "3306.5", "3371.2", "3433.3", "3493.5", "3552.1", "3609.4", "3665.7", "3721.2", "3776.0", "3830.2", "3884.1", "3937.6", "3990.8", "4043.8", "4096.6", "4149.3", "4201.9", "4254.5", "4307.1", "4359.6", "4412.2", "4464.8", "4517.5", "4570.2", "4835.4", "5103.5", "5375.1", "5650.3", "5929.0", "6211.2", "6785.4", "7371.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00041", "0.07496", "0.14819", "0.22015", "0.29089", "0.36047", "0.42894", "0.49632", "0.56265", "0.62798", "0.69233", "0.75573", "0.81821", "0.87981", "0.94054", "1.0004", "1.0595", "1.1178", "1.1754", "1.2322", "1.2883", "1.3438", "1.3986", "1.4527", "1.5062", "1.5591", "1.6115", "1.6633", "1.7146", "1.7654", "1.8156", "1.8654", "1.9148", "1.9637", "2.0122", "2.0604", "2.1081", "2.1555", "2.2025", "2.2492", "2.2956", "2.3876", "2.4786", "2.5687", "2.6582", "2.7471", "2.8357", "2.9242", "3.0129", "3.1020", "3.1919", "3.2832", "3.3764", "3.4726", "3.5731", "3.6804", "3.7993", "3.9423", "4.1671", "4.8660", "5.1400", "5.3000", "5.4197", "5.5176", "5.6016", "5.6759", "5.7428", "5.8042", "5.8610", "5.9142", "5.9642", "6.0569", "6.1416", "6.2202", "6.2940", "6.3637", "6.4300", "6.4935", "6.5545", "6.6133", "6.6702", "6.7254", "6.7791", "6.8313", "6.8823", "6.9322", "6.9810", "7.0287", "7.0756", "7.1216", "7.1668", "7.2112", "7.2549", "7.2979", "7.3403", "7.3820", "7.5825", "7.7710", "7.9493", "8.1189", "8.2807", "8.4356", "8.7267", "8.9965" ); "specific volume" = ( "cm3/g@L3/M", "0.98800", "0.98826", "0.98884", "0.98968", "0.99077", "0.99207", "0.99358", "0.99527", "0.99715", "0.99919", "1.00139", "1.00375", "1.00625", "1.00890", "1.01170", "1.01463", "1.01769", "1.02090", "1.02423", "1.02770", "1.03130", "1.03504", "1.03891", "1.04292", "1.04706", "1.05134", "1.05577", "1.06033", "1.06505", "1.06991", "1.07492", "1.08009", "1.08543", "1.09093", "1.09660", "1.10245", "1.10849", "1.11472", "1.12115", "1.12778", "1.13464", "1.14906", "1.16449", "1.18104", "1.19887", "1.21814", "1.23906", "1.26190", "1.28699", "1.31478", "1.3459", "1.3810", "1.4215", "1.4690", "1.5264", "1.5988", "1.6969", "1.8503", "2.2182", "4.6474", "6.0047", "6.8833", "7.5792", "8.1725", "8.6986", "9.1763", "9.6176", "10.030", "10.419", "10.789", "11.143", "11.811", "12.436", "13.029", "13.595", "14.140", "14.667", "15.179", "15.678", "16.165", "16.643", "17.113", "17.574", "18.029", "18.478", "18.922", "19.361", "19.795", "20.225", "20.652", "21.075", "21.496", "21.913", "22.328", "22.740", "23.150", "25.172", "27.157", "29.115", "31.052", "32.974", "34.883", "38.672", "42.436" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1014.54", "1014.19", "1013.54", "1012.63", "1011.48", "1010.12", "1008.57", "1006.83", "1004.93", "1002.87", "1000.67", "998.32", "995.84", "993.24", "990.51", "987.67", "984.71", "981.65", "978.47", "975.20", "971.82", "968.35", "964.78", "961.11", "957.35", "953.50", "949.56", "945.52", "941.39", "937.17", "932.86", "928.46", "923.97", "919.39", "914.71", "909.94", "905.07", "900.11", "895.05", "889.88", "884.62", "873.76", "862.46", "850.69", "838.40", "825.56", "812.10", "797.98", "783.10", "767.37", "750.66", "732.80", "713.58", "692.69", "669.70", "643.95", "614.39", "579.09", "533.93", "468.81", "357.43", "251.20", "203.24", "177.41", "160.60", "148.43", "139.02", "131.44", "125.12", "119.74", "115.07", "107.30", "101.01", "95.763", "91.279", "87.377", "83.931", "80.854", "78.078", "75.553", "73.242", "71.112", "69.141", "67.307", "65.594", "63.990", "62.481", "61.058", "59.714", "58.440", "57.230", "56.079", "54.982", "53.935", "52.934", "51.976", "47.725", "44.189", "41.187", "38.598", "36.335", "34.338", "30.964", "28.214" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "29.86", "50.32", "70.79", "91.28", "111.77", "132.28", "152.81", "173.35", "193.90", "214.47", "235.05", "255.65", "276.26", "296.89", "317.53", "338.19", "358.86", "379.55", "400.26", "420.99", "441.74", "462.52", "483.32", "504.14", "525.00", "545.88", "566.81", "587.76", "608.76", "629.80", "650.89", "672.02", "693.21", "714.45", "735.75", "757.11", "778.54", "800.05", "821.62", "843.28", "865.02", "908.77", "952.93", "997.54", "1042.7", "1088.4", "1134.7", "1181.8", "1229.8", "1278.7", "1328.9", "1380.4", "1433.7", "1489.1", "1547.1", "1608.8", "1675.6", "1750.1", "1838.2", "1955.3", "2152.8", "2395.4", "2552.9", "2662.8", "2748.9", "2821.0", "2884.0", "2940.4", "2992.0", "3039.9", "3084.7", "3167.6", "3243.6", "3314.7", "3382.2", "3446.7", "3509.1", "3569.7", "3628.8", "3686.8", "3743.9", "3800.2", "3855.8", "3910.9", "3965.7", "4020.0", "4074.1", "4128.0", "4181.7", "4235.3", "4288.8", "4342.2", "4395.6", "4449.0", "4502.4", "4555.8", "4823.8", "5094.2", "5367.6", "5644.2", "5924.2", "6207.4", "6783.1", "7370.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00027", "0.07450", "0.14745", "0.21916", "0.28968", "0.35905", "0.42732", "0.49452", "0.56069", "0.62586", "0.69005", "0.75330", "0.81564", "0.87710", "0.93769", "0.99746", "1.0564", "1.1146", "1.1720", "1.2287", "1.2847", "1.3400", "1.3946", "1.4486", "1.5020", "1.5548", "1.6070", "1.6587", "1.7098", "1.7605", "1.8106", "1.8602", "1.9094", "1.9582", "2.0065", "2.0545", "2.1020", "2.1492", "2.1961", "2.2426", "2.2888", "2.3803", "2.4707", "2.5603", "2.6491", "2.7373", "2.8250", "2.9126", "3.0001", "3.0878", "3.1760", "3.2652", "3.3557", "3.4483", "3.5438", "3.6436", "3.7498", "3.8666", "4.0025", "4.1804", "4.4757", "4.8336", "5.0627", "5.2200", "5.3416", "5.4421", "5.5286", "5.6051", "5.6741", "5.7372", "5.7956", "5.9014", "5.9961", "6.0825", "6.1625", "6.2373", "6.3079", "6.3750", "6.4391", "6.5006", "6.5598", "6.6171", "6.6726", "6.7264", "6.7789", "6.8300", "6.8800", "6.9288", "6.9766", "7.0235", "7.0695", "7.1147", "7.1591", "7.2027", "7.2457", "7.2880", "7.4906", "7.6807", "7.8602", "8.0307", "8.1932", "8.3485", "8.6405", "8.9108" ); "specific volume" = ( "cm3/g@L3/M", "0.98567", "0.98601", "0.98664", "0.98753", "0.98865", "0.98998", "0.99150", "0.99321", "0.99509", "0.99714", "0.99933", "1.00168", "1.00417", "1.00681", "1.00958", "1.01249", "1.01553", "1.01870", "1.02200", "1.02543", "1.02899", "1.03268", "1.03651", "1.04046", "1.04455", "1.04877", "1.05312", "1.05762", "1.06226", "1.06704", "1.07197", "1.07705", "1.08228", "1.08768", "1.09324", "1.09897", "1.10488", "1.11098", "1.11726", "1.12374", "1.13043", "1.14447", "1.15947", "1.17552", "1.19275", "1.21131", "1.23137", "1.25317", "1.27698", "1.30315", "1.3322", "1.3646", "1.4014", "1.4436", "1.4932", "1.5529", "1.6276", "1.7268", "1.8729", "2.1331", "2.7978", "3.9809", "4.9203", "5.6366", "6.2267", "6.7373", "7.1931", "7.6083", "7.9923", "8.3515", "8.6904", "9.3200", "9.9000", "10.442", "10.955", "11.445", "11.914", "12.368", "12.808", "13.236", "13.653", "14.062", "14.463", "14.857", "15.245", "15.628", "16.005", "16.378", "16.747", "17.112", "17.473", "17.832", "18.188", "18.541", "18.891", "19.240", "20.953", "22.630", "24.279", "25.908", "27.521", "29.122", "32.296", "35.443" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1016.90", "1016.48", "1015.77", "1014.81", "1013.63", "1012.23", "1010.65", "1008.90", "1006.98", "1004.91", "1002.70", "1000.35", "997.88", "995.28", "992.56", "989.73", "986.78", "983.73", "980.58", "977.33", "973.97", "970.53", "966.98", "963.35", "959.62", "955.80", "951.90", "947.90", "943.82", "939.64", "935.38", "931.04", "926.60", "922.07", "917.46", "912.75", "907.95", "903.06", "898.08", "893.00", "887.82", "877.15", "866.07", "854.54", "842.53", "830.00", "816.92", "803.23", "788.85", "773.73", "757.74", "740.78", "722.67", "703.22", "682.13", "659.01", "633.29", "604.08", "569.94", "528.27", "474.97", "404.09", "324.28", "264.55", "226.65", "201.73", "184.04", "170.68", "160.13", "151.49", "144.25", "132.64", "123.62", "116.31", "110.21", "105.00", "100.48", "96.480", "92.916", "89.704", "86.786", "84.118", "81.662", "79.391", "77.280", "75.310", "73.466", "71.733", "70.100", "68.557", "67.097", "65.710", "64.392", "63.136", "61.937", "60.792", "55.734", "51.552", "48.015", "44.974", "42.322", "39.986", "36.046", "32.841" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "34.72", "55.10", "75.50", "95.91", "116.34", "136.80", "157.27", "177.75", "198.26", "218.78", "239.31", "259.86", "280.43", "301.01", "321.60", "342.21", "362.84", "383.49", "404.15", "424.83", "445.54", "466.26", "487.01", "507.79", "528.59", "549.43", "570.29", "591.20", "612.14", "633.12", "654.14", "675.21", "696.33", "717.50", "738.73", "760.02", "781.37", "802.79", "824.28", "845.84", "867.48", "911.02", "954.94", "999.28", "1044.1", "1089.4", "1135.4", "1182.0", "1229.4", "1277.7", "1327.0", "1377.6", "1429.5", "1483.2", "1539.1", "1597.6", "1659.6", "1726.5", "1800.4", "1885.4", "1988.6", "2123.9", "2291.9", "2447.6", "2571.8", "2671.0", "2753.6", "2824.8", "2888.1", "2945.3", "2997.9", "3092.9", "3178.1", "3256.4", "3329.6", "3398.9", "3465.3", "3529.4", "3591.5", "3652.2", "3711.6", "3769.9", "3827.4", "3884.3", "3940.5", "3996.3", "4051.7", "4106.7", "4161.5", "4216.1", "4270.6", "4324.9", "4379.1", "4433.3", "4487.4", "4541.5", "4812.4", "5085.0", "5360.1", "5638.2", "5919.4", "6203.6", "6780.9", "7369.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00005", "0.07398", "0.14666", "0.21813", "0.28844", "0.35761", "0.42570", "0.49272", "0.55873", "0.62374", "0.68778", "0.75089", "0.81308", "0.87440", "0.93486", "0.99450", "1.0533", "1.1114", "1.1687", "1.2252", "1.2811", "1.3363", "1.3908", "1.4447", "1.4979", "1.5506", "1.6027", "1.6542", "1.7052", "1.7557", "1.8056", "1.8551", "1.9042", "1.9528", "2.0009", "2.0487", "2.0961", "2.1431", "2.1897", "2.2361", "2.2820", "2.3731", "2.4631", "2.5521", "2.6403", "2.7278", "2.8148", "2.9014", "2.9879", "3.0744", "3.1612", "3.2486", "3.3370", "3.4268", "3.5186", "3.6132", "3.7120", "3.8168", "3.9308", "4.0599", "4.2143", "4.4138", "4.6579", "4.8809", "5.0564", "5.1945", "5.3080", "5.4046", "5.4891", "5.5646", "5.6331", "5.7544", "5.8605", "5.9556", "6.0425", "6.1228", "6.1980", "6.2689", "6.3363", "6.4006", "6.4622", "6.5216", "6.5789", "6.6345", "6.6884", "6.7409", "6.7920", "6.8419", "6.8907", "6.9385", "6.9853", "7.0312", "7.0763", "7.1205", "7.1641", "7.2069", "7.4118", "7.6034", "7.7841", "7.9554", "8.1186", "8.2746", "8.5673", "8.8382" ); "specific volume" = ( "cm3/g@L3/M", "0.98338", "0.98379", "0.98447", "0.98540", "0.98656", "0.98791", "0.98946", "0.99118", "0.99307", "0.99511", "0.99731", "0.99965", "1.00213", "1.00475", "1.00750", "1.01038", "1.01339", "1.01654", "1.01980", "1.02320", "1.02672", "1.03037", "1.03414", "1.03805", "1.04208", "1.04624", "1.05053", "1.05496", "1.05953", "1.06423", "1.06908", "1.07407", "1.07922", "1.08451", "1.08997", "1.09559", "1.10138", "1.10734", "1.11349", "1.11983", "1.12636", "1.14005", "1.15464", "1.17022", "1.18690", "1.20481", "1.22411", "1.24498", "1.26766", "1.29245", "1.3197", "1.3499", "1.3837", "1.4220", "1.4660", "1.5174", "1.5791", "1.6554", "1.7546", "1.8930", "2.1054", "2.4747", "3.0838", "3.7800", "4.4120", "4.9572", "5.4336", "5.8588", "6.2450", "6.6009", "6.9325", "7.5392", "8.0893", "8.5974", "9.0732", "9.5234", "9.9527", "10.365", "10.762", "11.148", "11.523", "11.888", "12.246", "12.596", "12.940", "13.278", "13.612", "13.941", "14.265", "14.586", "14.904", "15.218", "15.530", "15.839", "16.145", "16.450", "17.942", "19.398", "20.827", "22.235", "23.628", "25.009", "27.742", "30.450" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1019.23", "1018.74", "1017.98", "1016.97", "1015.75", "1014.32", "1012.72", "1010.94", "1009.01", "1006.93", "1004.72", "1002.37", "999.89", "997.30", "994.58", "991.76", "988.83", "985.80", "982.66", "979.43", "976.10", "972.68", "969.16", "965.55", "961.86", "958.07", "954.20", "950.25", "946.20", "942.08", "937.86", "933.56", "929.18", "924.71", "920.15", "915.51", "910.77", "905.95", "901.04", "896.04", "890.94", "880.46", "869.57", "858.27", "846.52", "834.29", "821.54", "808.23", "794.31", "779.72", "764.36", "748.16", "730.98", "712.68", "693.06", "671.86", "648.73", "623.20", "594.56", "561.77", "523.34", "477.69", "423.72", "364.47", "311.60", "270.89", "241.08", "219.00", "202.11", "188.73", "177.84", "160.99", "148.39", "138.49", "130.40", "123.62", "117.82", "112.76", "108.29", "104.30", "100.71", "97.442", "94.454", "91.705", "89.162", "86.799", "84.595", "82.531", "80.592", "78.765", "77.040", "75.407", "73.857", "72.383", "70.979", "69.640", "63.750", "58.907", "54.827", "51.330", "48.288", "45.611", "41.105", "37.446" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "39.55", "59.85", "80.18", "100.53", "120.90", "141.29", "161.71", "182.15", "202.60", "223.07", "243.56", "264.06", "284.58", "305.12", "325.67", "346.24", "366.82", "387.42", "408.04", "428.68", "449.33", "470.01", "490.72", "511.44", "532.20", "552.98", "573.79", "594.64", "615.53", "636.45", "657.42", "678.42", "699.48", "720.58", "741.74", "762.96", "784.23", "805.57", "826.97", "848.45", "870.00", "913.34", "957.04", "1001.1", "1045.7", "1090.7", "1136.3", "1182.4", "1229.3", "1277.0", "1325.6", "1375.3", "1426.2", "1478.5", "1532.6", "1588.8", "1647.7", "1709.9", "1776.6", "1849.6", "1931.4", "2025.5", "2136.4", "2264.5", "2394.2", "2511.8", "2613.4", "2700.8", "2777.1", "2845.0", "2906.5", "3015.1", "3110.4", "3196.5", "3275.9", "3350.4", "3421.0", "3488.7", "3554.0", "3617.4", "3679.1", "3739.6", "3799.1", "3857.6", "3915.4", "3972.6", "4029.3", "4085.6", "4141.5", "4197.1", "4252.5", "4307.7", "4362.7", "4417.7", "4472.5", "4527.3", "4801.1", "5075.9", "5352.8", "5632.3", "5914.6", "6199.9", "6778.7", "7368.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00024", "0.07340", "0.14582", "0.21707", "0.28716", "0.35615", "0.42405", "0.49091", "0.55676", "0.62161", "0.68551", "0.74848", "0.81054", "0.87172", "0.93205", "0.99156", "1.0503", "1.1082", "1.1654", "1.2218", "1.2775", "1.3326", "1.3870", "1.4407", "1.4938", "1.5464", "1.5983", "1.6497", "1.7006", "1.7509", "1.8008", "1.8501", "1.8990", "1.9474", "1.9955", "2.0431", "2.0903", "2.1371", "2.1836", "2.2297", "2.2755", "2.3661", "2.4556", "2.5442", "2.6318", "2.7187", "2.8050", "2.8908", "2.9764", "3.0618", "3.1473", "3.2332", "3.3198", "3.4073", "3.4962", "3.5871", "3.6808", "3.7783", "3.8813", "3.9921", "4.1145", "4.2533", "4.4144", "4.5979", "4.7810", "4.9448", "5.0844", "5.2028", "5.3048", "5.3944", "5.4744", "5.6132", "5.7319", "5.8365", "5.9307", "6.0170", "6.0970", "6.1719", "6.2427", "6.3098", "6.3740", "6.4355", "6.4948", "6.5520", "6.6074", "6.6612", "6.7136", "6.7646", "6.8144", "6.8630", "6.9106", "6.9573", "7.0030", "7.0480", "7.0921", "7.1355", "7.3425", "7.5357", "7.7175", "7.8897", "8.0536", "8.2101", "8.5037", "8.7750" ); "specific volume" = ( "cm3/g@L3/M", "0.98113", "0.98160", "0.98234", "0.98331", "0.98450", "0.98588", "0.98744", "0.98917", "0.99107", "0.99311", "0.99531", "0.99764", "1.00011", "1.00271", "1.00545", "1.00831", "1.01129", "1.01441", "1.01764", "1.02100", "1.02449", "1.02809", "1.03182", "1.03568", "1.03965", "1.04376", "1.04799", "1.05236", "1.05685", "1.06149", "1.06626", "1.07117", "1.07622", "1.08142", "1.08678", "1.09229", "1.09797", "1.10381", "1.10983", "1.11603", "1.12241", "1.13578", "1.14999", "1.16514", "1.18131", "1.19863", "1.21723", "1.23727", "1.25895", "1.28252", "1.3083", "1.3366", "1.3680", "1.4032", "1.4429", "1.4884", "1.5415", "1.6046", "1.6819", "1.7801", "1.9108", "2.0934", "2.3601", "2.7437", "3.2092", "3.6915", "4.1480", "4.5662", "4.9479", "5.2985", "5.6231", "6.2116", "6.7388", "7.2209", "7.6685", "8.0891", "8.4878", "8.8686", "9.2344", "9.5875", "9.9297", "10.263", "10.587", "10.905", "11.216", "11.521", "11.821", "12.117", "12.408", "12.696", "12.980", "13.261", "13.540", "13.815", "14.089", "14.360", "15.686", "16.976", "18.239", "19.482", "20.709", "21.925", "24.328", "26.705" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1021.54", "1020.98", "1020.16", "1019.11", "1017.85", "1016.39", "1014.76", "1012.97", "1011.02", "1008.93", "1006.71", "1004.36", "1001.88", "999.29", "996.59", "993.77", "990.86", "987.84", "984.72", "981.50", "978.20", "974.80", "971.31", "967.73", "964.06", "960.31", "956.48", "952.56", "948.55", "944.47", "940.30", "936.05", "931.71", "927.29", "922.79", "918.21", "913.54", "908.78", "903.94", "899.01", "893.99", "883.67", "872.98", "861.89", "850.38", "838.42", "825.98", "813.03", "799.51", "785.39", "770.59", "755.04", "738.65", "721.30", "702.86", "683.14", "661.92", "638.91", "613.71", "585.80", "554.49", "519.03", "478.95", "434.49", "387.47", "343.00", "305.12", "274.61", "250.49", "231.32", "215.84", "192.39", "175.36", "162.29", "151.83", "143.22", "135.93", "129.66", "124.18", "119.33", "114.99", "111.06", "107.50", "104.23", "101.23", "98.443", "95.855", "93.441", "91.179", "89.054", "87.052", "85.161", "83.369", "81.669", "80.053", "78.513", "71.769", "66.251", "61.623", "57.665", "54.229", "51.212", "46.141", "42.030" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "44.35", "64.58", "84.83", "105.12", "125.44", "145.78", "166.14", "186.53", "206.93", "227.36", "247.80", "268.26", "288.74", "309.23", "329.74", "350.26", "370.80", "391.36", "411.93", "432.52", "453.14", "473.77", "494.42", "515.10", "535.81", "556.54", "577.31", "598.10", "618.93", "639.80", "660.71", "681.66", "702.65", "723.69", "744.78", "765.93", "787.13", "808.39", "829.72", "851.11", "872.57", "915.72", "959.21", "1003.1", "1047.3", "1092.0", "1137.3", "1183.1", "1229.5", "1276.7", "1324.6", "1373.5", "1423.5", "1474.7", "1527.4", "1581.8", "1638.3", "1697.3", "1759.6", "1825.9", "1897.7", "1976.4", "2063.7", "2161.1", "2267.9", "2377.6", "2482.7", "2579.0", "2665.5", "2743.1", "2813.2", "2935.7", "3041.5", "3135.8", "3221.7", "3301.5", "3376.5", "3447.9", "3516.4", "3582.5", "3646.8", "3709.4", "3770.8", "3831.1", "3890.5", "3949.1", "4007.1", "4064.6", "4121.6", "4178.2", "4234.6", "4290.7", "4346.5", "4402.2", "4457.8", "4513.3", "4789.9", "5066.9", "5345.6", "5626.5", "5910.0", "6196.2", "6776.6", "7367.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00060", "0.07276", "0.14494", "0.21597", "0.28586", "0.35466", "0.42240", "0.48910", "0.55479", "0.61950", "0.68325", "0.74608", "0.80801", "0.86906", "0.92927", "0.98865", "1.0472", "1.1050", "1.1621", "1.2184", "1.2740", "1.3289", "1.3832", "1.4368", "1.4898", "1.5422", "1.5941", "1.6453", "1.6960", "1.7462", "1.7960", "1.8452", "1.8939", "1.9422", "1.9901", "2.0375", "2.0846", "2.1312", "2.1775", "2.2235", "2.2691", "2.3593", "2.4484", "2.5364", "2.6236", "2.7099", "2.7955", "2.8806", "2.9653", "3.0498", "3.1342", "3.2188", "3.3038", "3.3894", "3.4760", "3.5640", "3.6539", "3.7464", "3.8425", "3.9433", "4.0507", "4.1667", "4.2937", "4.4331", "4.5839", "4.7367", "4.8810", "5.0115", "5.1272", "5.2295", "5.3207", "5.4773", "5.6091", "5.7236", "5.8255", "5.9179", "6.0029", "6.0820", "6.1562", "6.2263", "6.2930", "6.3568", "6.4179", "6.4769", "6.5338", "6.5889", "6.6425", "6.6946", "6.7454", "6.7949", "6.8433", "6.8907", "6.9372", "6.9827", "7.0274", "7.0713", "7.2805", "7.4753", "7.6583", "7.8314", "7.9959", "8.1529", "8.4473", "8.7192" ); "specific volume" = ( "cm3/g@L3/M", "0.97892", "0.97945", "0.98024", "0.98125", "0.98247", "0.98387", "0.98545", "0.98720", "0.98910", "0.99114", "0.99333", "0.99566", "0.99812", "1.00071", "1.00342", "1.00626", "1.00923", "1.01231", "1.01552", "1.01884", "1.02229", "1.02585", "1.02954", "1.03335", "1.03728", "1.04133", "1.04550", "1.04981", "1.05424", "1.05880", "1.06349", "1.06832", "1.07329", "1.07841", "1.08367", "1.08908", "1.09465", "1.10037", "1.10627", "1.11234", "1.11858", "1.13164", "1.14550", "1.16024", "1.17595", "1.19272", "1.21068", "1.22997", "1.25076", "1.27325", "1.2977", "1.3244", "1.3538", "1.3864", "1.4228", "1.4638", "1.5108", "1.5652", "1.6294", "1.7071", "1.8034", "1.9267", "2.0879", "2.3016", "2.5808", "2.9154", "3.2774", "3.6415", "3.9922", "4.3229", "4.6330", "5.1978", "5.7027", "6.1620", "6.5861", "6.9825", "7.3565", "7.7122", "8.0527", "8.3802", "8.6967", "9.0037", "9.3025", "9.5939", "9.8789", "10.158", "10.432", "10.702", "10.967", "11.229", "11.487", "11.743", "11.995", "12.244", "12.492", "12.737", "13.934", "15.094", "16.228", "17.342", "18.440", "19.527", "21.673", "23.793" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1023.82", "1023.20", "1022.32", "1021.22", "1019.92", "1018.44", "1016.79", "1014.97", "1013.01", "1010.92", "1008.69", "1006.33", "1003.86", "1001.27", "998.57", "995.77", "992.86", "989.85", "986.75", "983.56", "980.27", "976.89", "973.43", "969.88", "966.24", "962.52", "958.72", "954.83", "950.87", "946.82", "942.70", "938.49", "934.20", "929.83", "925.39", "920.86", "916.25", "911.55", "906.78", "901.92", "896.97", "886.82", "876.30", "865.41", "854.12", "842.41", "830.26", "817.63", "804.48", "790.78", "776.48", "761.50", "745.79", "729.25", "711.78", "693.25", "673.51", "652.36", "629.57", "604.83", "577.79", "548.02", "515.23", "479.47", "441.31", "402.04", "364.24", "330.34", "301.33", "277.13", "257.07", "226.41", "204.30", "187.59", "174.43", "163.72", "154.78", "147.16", "140.55", "134.75", "129.59", "124.96", "120.77", "116.95", "113.45", "110.22", "107.23", "104.45", "101.85", "99.412", "97.121", "94.962", "92.921", "90.987", "89.151", "87.405", "79.785", "73.583", "68.399", "63.977", "60.147", "56.788", "51.153", "46.590" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "49.13", "69.28", "89.47", "109.69", "129.95", "150.24", "170.56", "190.89", "211.25", "231.63", "252.03", "272.45", "292.88", "313.33", "333.80", "354.28", "374.78", "395.29", "415.82", "436.37", "456.94", "477.53", "498.14", "518.77", "539.43", "560.12", "580.83", "601.58", "622.36", "643.17", "664.02", "684.91", "705.84", "726.82", "747.85", "768.93", "790.06", "811.25", "832.50", "853.81", "875.19", "918.16", "961.45", "1005.1", "1049.1", "1093.5", "1138.4", "1183.9", "1229.9", "1276.6", "1324.0", "1372.2", "1421.4", "1471.6", "1523.1", "1576.1", "1630.7", "1687.4", "1746.5", "1808.6", "1874.4", "1944.7", "2020.5", "2102.5", "2190.8", "2284.7", "2380.7", "2474.8", "2563.8", "2646.5", "2722.6", "2857.0", "2972.8", "3075.0", "3167.4", "3252.5", "3332.0", "3407.2", "3478.9", "3547.9", "3614.6", "3679.4", "3742.7", "3804.8", "3865.7", "3925.8", "3985.1", "4043.8", "4101.9", "4159.5", "4216.8", "4273.8", "4330.5", "4387.0", "4443.2", "4499.4", "4778.9", "5058.1", "5338.4", "5620.8", "5905.4", "6192.6", "6774.5", "7366.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00103", "0.07207", "0.14402", "0.21483", "0.28454", "0.35316", "0.42073", "0.48727", "0.55281", "0.61738", "0.68100", "0.74369", "0.80549", "0.86642", "0.92650", "0.98575", "1.0442", "1.1019", "1.1588", "1.2150", "1.2705", "1.3253", "1.3795", "1.4330", "1.4859", "1.5381", "1.5898", "1.6410", "1.6916", "1.7417", "1.7912", "1.8403", "1.8889", "1.9371", "1.9848", "2.0321", "2.0790", "2.1255", "2.1716", "2.2174", "2.2628", "2.3527", "2.4414", "2.5289", "2.6156", "2.7013", "2.7864", "2.8708", "2.9547", "3.0383", "3.1218", "3.2052", "3.2888", "3.3728", "3.4575", "3.5431", "3.6301", "3.7189", "3.8101", "3.9045", "4.0029", "4.1066", "4.2168", "4.3342", "4.4589", "4.5896", "4.7215", "4.8489", "4.9680", "5.0771", "5.1762", "5.3479", "5.4920", "5.6163", "5.7259", "5.8245", "5.9145", "5.9978", "6.0755", "6.1486", "6.2178", "6.2838", "6.3469", "6.4076", "6.4660", "6.5225", "6.5773", "6.6304", "6.6822", "6.7326", "6.7819", "6.8300", "6.8772", "6.9233", "6.9686", "7.0131", "7.2244", "7.4207", "7.6048", "7.7788", "7.9440", "8.1015", "8.3967", "8.6691" ); "specific volume" = ( "cm3/g@L3/M", "0.97673", "0.97733", "0.97816", "0.97922", "0.98047", "0.98189", "0.98349", "0.98525", "0.98715", "0.98920", "0.99139", "0.99371", "0.99616", "0.99873", "1.00143", "1.00425", "1.00719", "1.01025", "1.01343", "1.01672", "1.02013", "1.02365", "1.02730", "1.03106", "1.03494", "1.03894", "1.04306", "1.04730", "1.05167", "1.05616", "1.06079", "1.06554", "1.07043", "1.07546", "1.08063", "1.08594", "1.09141", "1.09703", "1.10281", "1.10875", "1.11486", "1.12763", "1.14116", "1.15553", "1.17080", "1.18707", "1.20444", "1.22305", "1.24303", "1.26457", "1.2879", "1.3132", "1.3409", "1.3713", "1.4049", "1.4425", "1.4848", "1.5329", "1.5884", "1.6534", "1.7307", "1.8247", "1.9409", "2.0856", "2.2660", "2.4873", "2.7454", "3.0272", "3.3186", "3.6085", "3.8900", "4.4168", "4.8947", "5.3308", "5.7331", "6.1081", "6.4610", "6.7956", "7.1149", "7.4213", "7.7166", "8.0025", "8.2801", "8.5504", "8.8143", "9.0724", "9.3255", "9.5741", "9.8185", "10.059", "10.296", "10.531", "10.762", "10.991", "11.217", "11.441", "12.534", "13.590", "14.620", "15.631", "16.626", "17.609", "19.549", "21.464" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1028.30", "1027.56", "1026.58", "1025.39", "1024.02", "1022.48", "1020.77", "1018.92", "1016.94", "1014.82", "1012.58", "1010.22", "1007.74", "1005.16", "1002.48", "999.69", "996.80", "993.82", "990.75", "987.59", "984.34", "981.01", "977.59", "974.09", "970.51", "966.85", "963.11", "959.29", "955.40", "951.43", "947.38", "943.26", "939.06", "934.79", "930.44", "926.02", "921.52", "916.94", "912.29", "907.56", "902.74", "892.88", "882.69", "872.17", "861.28", "850.03", "838.38", "826.32", "813.83", "800.86", "787.39", "773.38", "758.78", "743.54", "727.60", "710.88", "693.31", "674.80", "655.22", "634.47", "612.42", "588.91", "563.83", "537.13", "508.91", "479.51", "449.46", "419.48", "390.48", "363.36", "338.73", "297.47", "265.79", "241.42", "222.29", "206.91", "194.24", "183.59", "174.48", "166.57", "159.62", "153.44", "147.89", "142.87", "138.31", "134.12", "130.27", "126.70", "123.38", "120.29", "117.39", "114.67", "112.10", "109.68", "107.39", "105.22", "95.794", "88.195", "81.884", "76.528", "71.906", "67.864", "61.103", "55.644" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "58.58", "78.60", "98.67", "118.78", "138.94", "159.13", "179.35", "199.59", "219.86", "240.16", "260.47", "280.81", "301.16", "321.53", "341.91", "362.31", "382.73", "403.16", "423.61", "444.08", "464.56", "485.06", "505.59", "526.13", "546.70", "567.29", "587.91", "608.56", "629.24", "649.95", "670.69", "691.47", "712.29", "733.16", "754.06", "775.01", "796.01", "817.06", "838.17", "859.33", "880.55", "923.19", "966.10", "1009.3", "1052.9", "1096.8", "1141.1", "1185.9", "1231.2", "1277.0", "1323.5", "1370.6", "1418.4", "1467.1", "1516.8", "1567.5", "1619.4", "1672.7", "1727.6", "1784.3", "1843.2", "1904.5", "1968.6", "2035.9", "2106.4", "2180.2", "2256.8", "2335.5", "2415.0", "2493.7", "2570.3", "2713.9", "2842.7", "2957.9", "3061.8", "3156.8", "3244.8", "3327.2", "3405.3", "3479.7", "3551.3", "3620.4", "3687.5", "3753.0", "3817.1", "3880.0", "3941.9", "4002.9", "4063.2", "4122.9", "4182.0", "4240.7", "4299.0", "4357.0", "4414.7", "4472.2", "4757.3", "5040.8", "5324.5", "5609.6", "5896.5", "6185.6", "6770.5", "7364.4" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00208", "0.07053", "0.14204", "0.21246", "0.28180", "0.35009", "0.41734", "0.48359", "0.54885", "0.61314", "0.67650", "0.73894", "0.80049", "0.86117", "0.92101", "0.98004", "1.0383", "1.0957", "1.1524", "1.2084", "1.2637", "1.3182", "1.3721", "1.4254", "1.4781", "1.5301", "1.5816", "1.6325", "1.6828", "1.7327", "1.7820", "1.8308", "1.8792", "1.9270", "1.9745", "2.0215", "2.0681", "2.1143", "2.1601", "2.2056", "2.2507", "2.3398", "2.4277", "2.5145", "2.6002", "2.6850", "2.7690", "2.8522", "2.9348", "3.0169", "3.0986", "3.1801", "3.2615", "3.3429", "3.4245", "3.5065", "3.5892", "3.6727", "3.7574", "3.8436", "3.9317", "4.0221", "4.1153", "4.2116", "4.3112", "4.4140", "4.5191", "4.6257", "4.7320", "4.8358", "4.9356", "5.1189", "5.2794", "5.4193", "5.5426", "5.6527", "5.7524", "5.8437", "5.9282", "6.0071", "6.0814", "6.1518", "6.2187", "6.2827", "6.3441", "6.4033", "6.4604", "6.5158", "6.5694", "6.6217", "6.6725", "6.7221", "6.7706", "6.8180", "6.8644", "6.9099", "7.1255", "7.3248", "7.5111", "7.6868", "7.8533", "8.0119", "8.3086", "8.5820" ); "specific volume" = ( "cm3/g@L3/M", "0.97247", "0.97318", "0.97411", "0.97524", "0.97654", "0.97802", "0.97965", "0.98143", "0.98334", "0.98540", "0.98758", "0.98989", "0.99232", "0.99486", "0.99753", "1.00031", "1.00321", "1.00621", "1.00933", "1.01257", "1.01591", "1.01936", "1.02292", "1.02660", "1.03039", "1.03429", "1.03830", "1.04243", "1.04668", "1.05105", "1.05554", "1.06015", "1.06489", "1.06976", "1.07476", "1.07989", "1.08517", "1.09058", "1.09615", "1.10186", "1.10773", "1.11997", "1.13289", "1.14657", "1.16106", "1.17643", "1.19277", "1.21018", "1.22876", "1.24866", "1.2700", "1.2930", "1.3179", "1.3449", "1.3744", "1.4067", "1.4423", "1.4819", "1.5262", "1.5761", "1.6329", "1.6981", "1.7736", "1.8618", "1.9650", "2.0855", "2.2249", "2.3839", "2.5610", "2.7521", "2.9522", "3.3617", "3.7624", "4.1422", "4.4986", "4.8330", "5.1482", "5.4468", "5.7312", "6.0033", "6.2649", "6.5174", "6.7618", "6.9992", "7.2304", "7.4560", "7.6766", "7.8928", "8.1050", "8.3136", "8.5188", "8.7210", "8.9204", "9.1173", "9.3119", "9.5043", "10.439", "11.339", "12.212", "13.067", "13.907", "14.735", "16.366", "17.971" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1032.69", "1031.82", "1030.75", "1029.48", "1028.03", "1026.43", "1024.69", "1022.80", "1020.79", "1018.65", "1016.39", "1014.03", "1011.55", "1008.98", "1006.30", "1003.53", "1000.66", "997.71", "994.66", "991.54", "988.32", "985.03", "981.65", "978.20", "974.67", "971.07", "967.39", "963.63", "959.80", "955.90", "951.93", "947.89", "943.77", "939.59", "935.33", "931.00", "926.60", "922.13", "917.59", "912.97", "908.29", "898.69", "888.80", "878.59", "868.06", "857.21", "846.00", "834.44", "822.49", "810.14", "797.36", "784.13", "770.42", "756.19", "741.41", "726.03", "710.01", "693.29", "675.83", "657.55", "638.41", "618.35", "597.32", "575.30", "552.30", "528.42", "503.89", "478.99", "454.10", "429.62", "405.97", "362.69", "326.02", "295.95", "271.52", "251.58", "235.09", "221.25", "209.46", "199.29", "190.39", "182.53", "175.53", "169.23", "163.52", "158.31", "153.54", "149.14", "145.06", "141.28", "137.74", "134.43", "131.32", "128.40", "125.63", "123.01", "111.74", "102.72", "95.266", "88.970", "83.556", "78.832", "70.953", "64.606" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "67.93", "87.83", "107.78", "127.80", "147.85", "167.95", "188.08", "208.24", "228.43", "248.65", "268.88", "289.14", "309.41", "329.70", "350.01", "370.33", "390.67", "411.03", "431.40", "451.78", "472.19", "492.61", "513.05", "533.51", "553.99", "574.50", "595.03", "615.58", "636.17", "656.78", "677.43", "698.10", "718.82", "739.57", "760.36", "781.19", "802.07", "823.00", "843.97", "864.99", "886.07", "928.40", "970.98", "1013.8", "1057.0", "1100.5", "1144.3", "1188.5", "1233.2", "1278.3", "1323.9", "1370.1", "1416.9", "1464.3", "1512.6", "1561.6", "1611.6", "1662.6", "1714.7", "1768.1", "1822.9", "1879.3", "1937.5", "1997.5", "2059.6", "2123.7", "2189.7", "2257.5", "2326.4", "2396.2", "2466.1", "2603.3", "2733.3", "2854.0", "2965.1", "3067.4", "3162.3", "3251.1", "3334.8", "3414.3", "3490.3", "3563.5", "3634.3", "3703.0", "3770.1", "3835.7", "3900.1", "3963.4", "4025.8", "4087.4", "4148.3", "4208.7", "4268.6", "4328.0", "4387.1", "4445.9", "4736.4", "5024.0", "5311.1", "5598.8", "5887.9", "6178.9", "6766.7", "7362.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00338", "0.06879", "0.13990", "0.20996", "0.27897", "0.34694", "0.41391", "0.47987", "0.54487", "0.60890", "0.67201", "0.73422", "0.79553", "0.85599", "0.91560", "0.97440", "1.0324", "1.0896", "1.1461", "1.2019", "1.2569", "1.3113", "1.3650", "1.4180", "1.4705", "1.5223", "1.5735", "1.6242", "1.6743", "1.7239", "1.7730", "1.8216", "1.8697", "1.9173", "1.9645", "2.0113", "2.0576", "2.1035", "2.1490", "2.1942", "2.2390", "2.3275", "2.4147", "2.5008", "2.5857", "2.6696", "2.7526", "2.8348", "2.9162", "2.9970", "3.0773", "3.1572", "3.2368", "3.3162", "3.3954", "3.4748", "3.5543", "3.6342", "3.7147", "3.7958", "3.8779", "3.9610", "4.0455", "4.1315", "4.2192", "4.3084", "4.3991", "4.4909", "4.5831", "4.6751", "4.7660", "4.9412", "5.1032", "5.2499", "5.3816", "5.5002", "5.6077", "5.7060", "5.7966", "5.8809", "5.9599", "6.0343", "6.1049", "6.1721", "6.2364", "6.2981", "6.3576", "6.4150", "6.4705", "6.5244", "6.5768", "6.6279", "6.6776", "6.7262", "6.7737", "6.8203", "7.0399", "7.2421", "7.4307", "7.6080", "7.7758", "7.9354", "8.2336", "8.5081" ); "specific volume" = ( "cm3/g@L3/M", "0.96834", "0.96916", "0.97017", "0.97137", "0.97273", "0.97425", "0.97591", "0.97771", "0.97964", "0.98169", "0.98387", "0.98617", "0.98858", "0.99110", "0.99374", "0.99648", "0.99934", "1.00230", "1.00536", "1.00854", "1.01181", "1.01520", "1.01869", "1.02228", "1.02599", "1.02980", "1.03371", "1.03774", "1.04188", "1.04613", "1.05050", "1.05498", "1.05958", "1.06430", "1.06914", "1.07411", "1.07921", "1.08444", "1.08981", "1.09532", "1.10097", "1.11273", "1.12512", "1.13819", "1.15199", "1.16658", "1.18203", "1.19841", "1.21582", "1.23436", "1.2541", "1.2753", "1.2980", "1.3224", "1.3488", "1.3774", "1.4084", "1.4424", "1.4797", "1.5208", "1.5664", "1.6172", "1.6741", "1.7382", "1.8106", "1.8924", "1.9846", "2.0877", "2.2022", "2.3277", "2.4632", "2.7572", "3.0673", "3.3790", "3.6829", "3.9749", "4.2538", "4.5198", "4.7742", "5.0179", "5.2523", "5.4784", "5.6971", "5.9093", "6.1156", "6.3167", "6.5130", "6.7052", "6.8935", "7.0783", "7.2599", "7.4387", "7.6148", "7.7884", "7.9598", "8.1291", "8.9494", "9.7356", "10.497", "11.240", "11.968", "12.685", "14.094", "15.478" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1036.98", "1036.00", "1034.83", "1033.48", "1031.97", "1030.32", "1028.53", "1026.61", "1024.56", "1022.41", "1020.14", "1017.77", "1015.29", "1012.72", "1010.05", "1007.29", "1004.45", "1001.51", "998.50", "995.40", "992.22", "988.96", "985.63", "982.22", "978.73", "975.18", "971.55", "967.86", "964.09", "960.25", "956.35", "952.38", "948.34", "944.24", "940.06", "935.82", "931.52", "927.14", "922.70", "918.20", "913.62", "904.27", "894.64", "884.72", "874.52", "864.01", "853.19", "842.06", "830.58", "818.76", "806.57", "793.99", "781.01", "767.60", "753.73", "739.39", "724.54", "709.16", "693.21", "676.66", "659.49", "641.66", "623.17", "604.01", "584.18", "563.74", "542.77", "521.40", "499.84", "478.30", "457.04", "416.25", "379.14", "346.66", "318.94", "295.53", "275.77", "259.01", "244.66", "232.25", "221.41", "211.85", "203.36", "195.73", "188.85", "182.60", "176.88", "171.62", "166.77", "162.27", "158.08", "154.17", "150.50", "147.06", "143.81", "140.74", "127.58", "117.12", "108.53", "101.29", "95.087", "89.687", "80.698", "73.475" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "77.18", "96.96", "116.82", "136.73", "156.70", "176.72", "196.77", "216.85", "236.96", "257.10", "277.26", "297.44", "317.64", "337.86", "358.09", "378.34", "398.61", "418.89", "439.18", "459.50", "479.82", "500.17", "520.53", "540.91", "561.31", "581.73", "602.18", "622.65", "643.14", "663.66", "684.21", "704.80", "725.41", "746.06", "766.74", "787.47", "808.23", "829.04", "849.89", "870.78", "891.73", "933.78", "976.05", "1018.6", "1061.4", "1104.4", "1147.8", "1191.5", "1235.6", "1280.1", "1325.1", "1370.5", "1416.4", "1462.9", "1510.0", "1557.7", "1606.2", "1655.5", "1705.6", "1756.7", "1808.8", "1862.0", "1916.5", "1972.2", "2029.3", "2087.8", "2147.6", "2208.7", "2270.9", "2333.9", "2397.4", "2524.6", "2649.3", "2768.9", "2882.0", "2988.1", "3087.5", "3180.8", "3269.0", "3352.8", "3432.7", "3509.5", "3583.6", "3655.3", "3725.1", "3793.3", "3860.0", "3925.4", "3989.8", "4053.3", "4115.9", "4177.9", "4239.3", "4300.1", "4360.5", "4420.5", "4716.2", "5007.9", "5298.1", "5588.4", "5879.7", "6172.5", "6763.2", "7361.4" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00489", "0.06686", "0.13761", "0.20733", "0.27604", "0.34373", "0.41042", "0.47613", "0.54087", "0.60467", "0.66755", "0.72952", "0.79061", "0.85085", "0.91025", "0.96884", "1.0266", "1.0837", "1.1399", "1.1955", "1.2503", "1.3045", "1.3580", "1.4108", "1.4630", "1.5147", "1.5657", "1.6162", "1.6661", "1.7154", "1.7643", "1.8126", "1.8605", "1.9079", "1.9549", "2.0014", "2.0474", "2.0931", "2.1384", "2.1832", "2.2277", "2.3157", "2.4023", "2.4876", "2.5718", "2.6550", "2.7371", "2.8184", "2.8988", "2.9785", "3.0576", "3.1362", "3.2142", "3.2919", "3.3694", "3.4466", "3.5238", "3.6010", "3.6784", "3.7560", "3.8340", "3.9125", "3.9916", "4.0714", "4.1520", "4.2335", "4.3156", "4.3984", "4.4815", "4.5647", "4.6473", "4.8097", "4.9650", "5.1104", "5.2445", "5.3674", "5.4800", "5.5834", "5.6789", "5.7677", "5.8507", "5.9288", "6.0027", "6.0728", "6.1397", "6.2038", "6.2654", "6.3248", "6.3821", "6.4376", "6.4915", "6.5439", "6.5949", "6.6446", "6.6932", "6.7407", "6.9643", "7.1693", "7.3600", "7.5389", "7.7080", "7.8686", "8.1682", "8.4436" ); "specific volume" = ( "cm3/g@L3/M", "0.96434", "0.96525", "0.96634", "0.96760", "0.96902", "0.97057", "0.97226", "0.97408", "0.97602", "0.97808", "0.98026", "0.98254", "0.98494", "0.98744", "0.99005", "0.99276", "0.99557", "0.99849", "1.00151", "1.00463", "1.00784", "1.01116", "1.01458", "1.01810", "1.02173", "1.02545", "1.02928", "1.03321", "1.03725", "1.04139", "1.04564", "1.05000", "1.05447", "1.05906", "1.06376", "1.06858", "1.07352", "1.07858", "1.08377", "1.08909", "1.09454", "1.10587", "1.11777", "1.13030", "1.14349", "1.15739", "1.17207", "1.18757", "1.20397", "1.22136", "1.2398", "1.2595", "1.2804", "1.3028", "1.3267", "1.3525", "1.3802", "1.4101", "1.4426", "1.4778", "1.5163", "1.5584", "1.6047", "1.6556", "1.7118", "1.7739", "1.8424", "1.9179", "2.0006", "2.0907", "2.1880", "2.4024", "2.6376", "2.8846", "3.1354", "3.3838", "3.6262", "3.8609", "4.0874", "4.3058", "4.5165", "4.7202", "4.9175", "5.1089", "5.2951", "5.4765", "5.6536", "5.8267", "5.9963", "6.1625", "6.3258", "6.4864", "6.6444", "6.8001", "6.9537", "7.1053", "7.8381", "8.5381", "9.2143", "9.8724", "10.517", "11.150", "12.392", "13.610" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1041.17", "1040.09", "1038.83", "1037.41", "1035.84", "1034.13", "1032.30", "1030.34", "1028.27", "1026.10", "1023.82", "1021.44", "1018.96", "1016.39", "1013.73", "1010.99", "1008.15", "1005.24", "1002.25", "999.18", "996.03", "992.81", "989.51", "986.14", "982.70", "979.20", "975.62", "971.98", "968.27", "964.49", "960.65", "956.75", "952.78", "948.75", "944.66", "940.50", "936.28", "931.99", "927.65", "923.24", "918.77", "909.63", "900.24", "890.59", "880.67", "870.48", "860.01", "849.25", "838.19", "826.83", "815.14", "803.12", "790.75", "778.02", "764.90", "751.40", "737.48", "723.14", "708.34", "693.08", "677.35", "661.13", "644.41", "627.20", "609.51", "591.38", "572.83", "553.96", "534.86", "515.67", "496.53", "459.05", "423.60", "391.13", "362.16", "336.78", "314.76", "295.70", "279.17", "264.77", "252.13", "240.96", "231.02", "222.11", "214.07", "206.77", "200.11", "194.00", "188.37", "183.15", "178.31", "173.79", "169.56", "165.59", "161.86", "158.34", "143.29", "131.39", "121.65", "113.48", "106.49", "100.42", "90.337", "82.249" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "86.34", "106.01", "125.78", "145.60", "165.49", "185.42", "205.40", "225.41", "245.45", "265.51", "285.61", "305.72", "325.85", "346.00", "366.16", "386.34", "406.54", "426.75", "446.97", "467.21", "487.46", "507.73", "528.02", "548.33", "568.65", "588.99", "609.36", "629.74", "650.15", "670.59", "691.05", "711.54", "732.06", "752.61", "773.20", "793.82", "814.47", "835.17", "855.91", "876.69", "897.51", "939.30", "981.29", "1023.5", "1066.0", "1108.7", "1151.6", "1194.9", "1238.5", "1282.5", "1326.8", "1371.6", "1416.8", "1462.4", "1508.6", "1555.3", "1602.6", "1650.5", "1699.1", "1748.5", "1798.6", "1849.6", "1901.5", "1954.3", "2008.1", "2062.9", "2118.7", "2175.4", "2233.0", "2291.4", "2350.3", "2468.8", "2586.9", "2702.5", "2814.1", "2920.7", "3022.0", "3118.1", "3209.3", "3296.2", "3379.3", "3459.1", "3535.9", "3610.4", "3682.6", "3753.0", "3821.9", "3889.3", "3955.5", "4020.7", "4085.0", "4148.5", "4211.2", "4273.4", "4335.0", "4396.2", "4696.9", "4992.4", "5285.7", "5578.5", "5871.9", "6166.4", "6759.9", "7360.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00661", "0.06477", "0.13518", "0.20460", "0.27302", "0.34045", "0.40688", "0.47235", "0.53686", "0.60044", "0.66309", "0.72485", "0.78574", "0.84577", "0.90496", "0.96335", "1.0209", "1.0778", "1.1338", "1.1892", "1.2438", "1.2978", "1.3511", "1.4038", "1.4558", "1.5072", "1.5580", "1.6083", "1.6580", "1.7071", "1.7558", "1.8039", "1.8516", "1.8988", "1.9455", "1.9917", "2.0376", "2.0830", "2.1280", "2.1726", "2.2169", "2.3043", "2.3903", "2.4750", "2.5586", "2.6410", "2.7224", "2.8028", "2.8824", "2.9612", "3.0392", "3.1166", "3.1934", "3.2697", "3.3456", "3.4212", "3.4965", "3.5716", "3.6466", "3.7216", "3.7966", "3.8718", "3.9472", "4.0228", "4.0988", "4.1751", "4.2517", "4.3286", "4.4056", "4.4826", "4.5592", "4.7106", "4.8576", "4.9981", "5.1304", "5.2540", "5.3687", "5.4751", "5.5740", "5.6661", "5.7524", "5.8335", "5.9102", "5.9829", "6.0522", "6.1184", "6.1820", "6.2431", "6.3021", "6.3591", "6.4144", "6.4680", "6.5202", "6.5710", "6.6206", "6.6690", "6.8964", "7.1042", "7.2968", "7.4773", "7.6476", "7.8091", "8.1101", "8.3865" ); "specific volume" = ( "cm3/g@L3/M", "0.96045", "0.96145", "0.96262", "0.96394", "0.96540", "0.96700", "0.96871", "0.97055", "0.97250", "0.97457", "0.97674", "0.97901", "0.98139", "0.98387", "0.98645", "0.98913", "0.99191", "0.99479", "0.99776", "1.00082", "1.00399", "1.00725", "1.01060", "1.01405", "1.01760", "1.02125", "1.02499", "1.02883", "1.03277", "1.03681", "1.04096", "1.04521", "1.04956", "1.05402", "1.05859", "1.06327", "1.06806", "1.07297", "1.07799", "1.08314", "1.08841", "1.09934", "1.11081", "1.12285", "1.13550", "1.14879", "1.16278", "1.17751", "1.19304", "1.20944", "1.2268", "1.2451", "1.2646", "1.2853", "1.3074", "1.3308", "1.3560", "1.3829", "1.4117", "1.4428", "1.4763", "1.5126", "1.5518", "1.5944", "1.6407", "1.6910", "1.7457", "1.8052", "1.8696", "1.9392", "2.0140", "2.1784", "2.3607", "2.5567", "2.7612", "2.9693", "3.1770", "3.3818", "3.5820", "3.7769", "3.9662", "4.1500", "4.3286", "4.5022", "4.6713", "4.8362", "4.9972", "5.1546", "5.3088", "5.4599", "5.6083", "5.7542", "5.8976", "6.0390", "6.1782", "6.3157", "6.9789", "7.6110", "8.2201", "8.8119", "9.3902", "9.9580", "11.070", "12.158" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1045.28", "1044.10", "1042.75", "1041.26", "1039.63", "1037.87", "1036.00", "1034.01", "1031.92", "1029.72", "1027.43", "1025.04", "1022.56", "1020.00", "1017.34", "1014.61", "1011.79", "1008.90", "1005.93", "1002.88", "999.76", "996.57", "993.31", "989.98", "986.58", "983.12", "979.59", "976.00", "972.34", "968.63", "964.85", "961.00", "957.10", "953.14", "949.12", "945.04", "940.90", "936.70", "932.44", "928.12", "923.74", "914.81", "905.64", "896.22", "886.57", "876.66", "866.50", "856.08", "845.39", "834.42", "823.17", "811.63", "799.79", "787.63", "775.15", "762.34", "749.18", "735.67", "721.80", "707.56", "692.93", "677.92", "662.53", "646.77", "630.63", "614.16", "597.37", "580.32", "563.06", "545.68", "528.28", "493.80", "460.51", "429.16", "400.29", "374.21", "350.95", "330.38", "312.23", "296.21", "282.04", "269.44", "258.18", "248.07", "238.94", "230.64", "223.07", "216.12", "209.73", "203.81", "198.32", "193.20", "188.42", "183.93", "179.72", "175.75", "158.82", "145.50", "134.63", "125.53", "117.77", "111.03", "99.867", "90.926" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "95.40", "114.99", "134.66", "154.41", "174.22", "194.08", "213.98", "233.92", "253.90", "273.90", "293.92", "313.97", "334.03", "354.11", "374.21", "394.33", "414.45", "434.60", "454.75", "474.92", "495.11", "515.31", "535.53", "555.76", "576.01", "596.27", "616.56", "636.87", "657.20", "677.55", "697.93", "718.33", "738.76", "759.23", "779.72", "800.24", "820.80", "841.39", "862.02", "882.69", "903.40", "944.94", "986.68", "1028.6", "1070.8", "1113.1", "1155.8", "1198.6", "1241.8", "1285.3", "1329.1", "1373.3", "1417.8", "1462.8", "1508.2", "1554.0", "1600.3", "1647.1", "1694.5", "1742.5", "1791.1", "1840.4", "1890.4", "1941.1", "1992.5", "2044.7", "2097.7", "2151.4", "2205.7", "2260.7", "2316.2", "2428.1", "2540.2", "2651.2", "2759.8", "2865.1", "2966.4", "3063.5", "3156.4", "3245.3", "3330.7", "3412.7", "3491.9", "3568.5", "3642.8", "3715.3", "3786.0", "3855.2", "3923.1", "3989.9", "4055.6", "4120.5", "4184.5", "4247.9", "4310.7", "4373.0", "4678.4", "4977.6", "5273.8", "5569.1", "5864.4", "6160.6", "6756.8", "7359.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.00851", "0.06252", "0.13263", "0.20176", "0.26992", "0.33710", "0.40331", "0.46855", "0.53284", "0.59620", "0.65865", "0.72021", "0.78089", "0.84073", "0.89973", "0.95792", "1.0153", "1.0720", "1.1279", "1.1830", "1.2375", "1.2913", "1.3444", "1.3968", "1.4487", "1.4999", "1.5505", "1.6006", "1.6501", "1.6991", "1.7475", "1.7954", "1.8429", "1.8898", "1.9364", "1.9824", "2.0280", "2.0732", "2.1180", "2.1624", "2.2064", "2.2933", "2.3788", "2.4629", "2.5459", "2.6277", "2.7084", "2.7881", "2.8669", "2.9448", "3.0219", "3.0983", "3.1740", "3.2492", "3.3238", "3.3979", "3.4717", "3.5451", "3.6182", "3.6911", "3.7639", "3.8365", "3.9091", "3.9818", "4.0544", "4.1271", "4.1998", "4.2725", "4.3452", "4.4177", "4.4900", "4.6329", "4.7724", "4.9073", "5.0361", "5.1581", "5.2728", "5.3803", "5.4810", "5.5753", "5.6639", "5.7474", "5.8263", "5.9012", "5.9725", "6.0406", "6.1059", "6.1686", "6.2291", "6.2875", "6.3440", "6.3988", "6.4521", "6.5039", "6.5545", "6.6038", "6.8347", "7.0450", "7.2396", "7.4216", "7.5930", "7.7555", "8.0579", "8.3352" ); "specific volume" = ( "cm3/g@L3/M", "0.95668", "0.95776", "0.95900", "0.96037", "0.96188", "0.96351", "0.96525", "0.96711", "0.96907", "0.97114", "0.97330", "0.97557", "0.97794", "0.98040", "0.98295", "0.98560", "0.98835", "0.99118", "0.99411", "0.99713", "1.00024", "1.00344", "1.00673", "1.01012", "1.01360", "1.01717", "1.02083", "1.02459", "1.02844", "1.03239", "1.03643", "1.04058", "1.04482", "1.04916", "1.05361", "1.05816", "1.06282", "1.06758", "1.07246", "1.07745", "1.08256", "1.09313", "1.10420", "1.11579", "1.12795", "1.14069", "1.15407", "1.16812", "1.18289", "1.19844", "1.2148", "1.2321", "1.2503", "1.2696", "1.2901", "1.3118", "1.3348", "1.3593", "1.3854", "1.4133", "1.4431", "1.4751", "1.5094", "1.5462", "1.5857", "1.6282", "1.6740", "1.7232", "1.7760", "1.8326", "1.8930", "2.0251", "2.1715", "2.3301", "2.4982", "2.6723", "2.8494", "3.0269", "3.2028", "3.3760", "3.5456", "3.7114", "3.8732", "4.0311", "4.1852", "4.3358", "4.4829", "4.6270", "4.7681", "4.9065", "5.0424", "5.1760", "5.3074", "5.4368", "5.5642", "5.6900", "6.2963", "6.8730", "7.4278", "7.9660", "8.4913", "9.0064", "10.013", "10.998" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1053.22", "1051.87", "1050.37", "1048.75", "1047.00", "1045.15", "1043.20", "1041.15", "1039.01", "1036.78", "1034.46", "1032.06", "1029.58", "1027.01", "1024.37", "1021.66", "1018.87", "1016.01", "1013.08", "1010.08", "1007.01", "1003.88", "1000.68", "997.42", "994.10", "990.72", "987.28", "983.77", "980.22", "976.60", "972.93", "969.20", "965.42", "961.58", "957.69", "953.74", "949.74", "945.69", "941.59", "937.43", "933.22", "924.65", "915.86", "906.87", "897.67", "888.26", "878.63", "868.78", "858.72", "848.43", "837.91", "827.16", "816.18", "804.95", "793.48", "781.77", "769.80", "757.57", "745.09", "732.35", "719.35", "706.10", "692.59", "678.84", "664.85", "650.64", "636.23", "621.65", "606.92", "592.08", "577.19", "547.42", "518.08", "489.65", "462.55", "437.09", "413.47", "391.78", "372.01", "354.07", "337.84", "323.15", "309.84", "297.76", "286.77", "276.73", "267.54", "259.08", "251.28", "244.06", "237.35", "231.10", "225.26", "219.79", "214.66", "209.82", "189.26", "173.15", "160.08", "149.17", "139.89", "131.86", "118.59", "107.99" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "113.29", "132.70", "152.22", "171.83", "191.51", "211.24", "231.01", "250.83", "270.68", "290.56", "310.46", "330.39", "350.33", "370.29", "390.27", "410.26", "430.26", "450.28", "470.31", "490.35", "510.41", "530.47", "550.56", "570.65", "590.77", "610.89", "631.04", "651.20", "671.38", "691.58", "711.80", "732.05", "752.31", "772.61", "792.92", "813.27", "833.64", "854.05", "874.48", "894.95", "915.46", "956.57", "997.83", "1039.3", "1080.9", "1122.7", "1164.7", "1206.9", "1249.3", "1292.0", "1334.9", "1378.1", "1421.6", "1465.4", "1509.5", "1554.0", "1598.8", "1644.0", "1689.5", "1735.5", "1781.9", "1828.7", "1876.0", "1923.8", "1972.0", "2020.7", "2069.9", "2119.6", "2169.7", "2220.2", "2271.0", "2373.7", "2476.9", "2580.0", "2682.2", "2782.9", "2881.5", "2977.5", "3070.7", "3161.0", "3248.4", "3333.0", "3415.1", "3494.7", "3572.1", "3647.6", "3721.3", "3793.4", "3864.1", "3933.5", "4001.8", "4069.0", "4135.4", "4201.0", "4265.9", "4330.1", "4644.1", "4950.0", "5251.8", "5551.6", "5850.7", "6150.1", "6751.4", "7357.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.01282", "0.05761", "0.12717", "0.19581", "0.26350", "0.33024", "0.39602", "0.46086", "0.52476", "0.58773", "0.64980", "0.71099", "0.77131", "0.83078", "0.88942", "0.94726", "1.0043", "1.0606", "1.1161", "1.1709", "1.2251", "1.2785", "1.3312", "1.3833", "1.4348", "1.4857", "1.5360", "1.5857", "1.6348", "1.6834", "1.7315", "1.7791", "1.8261", "1.8727", "1.9188", "1.9645", "2.0097", "2.0545", "2.0988", "2.1428", "2.1863", "2.2723", "2.3569", "2.4400", "2.5219", "2.6026", "2.6821", "2.7605", "2.8380", "2.9144", "2.9900", "3.0647", "3.1387", "3.2119", "3.2845", "3.3564", "3.4277", "3.4985", "3.5688", "3.6386", "3.7081", "3.7771", "3.8458", "3.9142", "3.9823", "4.0502", "4.1177", "4.1850", "4.2520", "4.3186", "4.3848", "4.5159", "4.6444", "4.7697", "4.8909", "5.0076", "5.1192", "5.2255", "5.3265", "5.4222", "5.5130", "5.5991", "5.6809", "5.7587", "5.8329", "5.9039", "5.9720", "6.0373", "6.1003", "6.1610", "6.2197", "6.2766", "6.3317", "6.3854", "6.4375", "6.4884", "6.7258", "6.9409", "7.1391", "7.3239", "7.4975", "7.6618", "7.9668", "8.2459" ); "specific volume" = ( "cm3/g@L3/M", "0.94947", "0.95069", "0.95204", "0.95352", "0.95511", "0.95680", "0.95859", "0.96047", "0.96245", "0.96453", "0.96669", "0.96894", "0.97127", "0.97370", "0.97621", "0.97880", "0.98148", "0.98425", "0.98709", "0.99002", "0.99304", "0.99614", "0.99932", "1.00259", "1.00594", "1.00937", "1.01289", "1.01649", "1.02018", "1.02396", "1.02783", "1.03178", "1.03582", "1.03996", "1.04418", "1.04850", "1.05292", "1.05743", "1.06204", "1.06675", "1.07156", "1.08149", "1.09186", "1.10269", "1.11399", "1.12580", "1.13814", "1.15104", "1.16453", "1.17865", "1.1934", "1.2090", "1.2252", "1.2423", "1.2603", "1.2792", "1.2990", "1.3200", "1.3421", "1.3655", "1.3901", "1.4162", "1.4439", "1.4731", "1.5041", "1.5370", "1.5718", "1.6086", "1.6477", "1.6890", "1.7325", "1.8267", "1.9302", "2.0423", "2.1619", "2.2879", "2.4185", "2.5524", "2.6881", "2.8243", "2.9600", "3.0946", "3.2275", "3.3584", "3.4871", "3.6136", "3.7378", "3.8598", "3.9796", "4.0974", "4.2132", "4.3271", "4.4392", "4.5497", "4.6586", "4.7660", "5.2837", "5.7752", "6.2470", "6.7037", "7.1484", "7.5836", "8.4325", "9.2603" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1060.84", "1059.33", "1057.70", "1055.96", "1054.12", "1052.18", "1050.16", "1048.06", "1045.87", "1043.60", "1041.26", "1038.84", "1036.35", "1033.79", "1031.16", "1028.46", "1025.70", "1022.86", "1019.97", "1017.01", "1013.99", "1010.91", "1007.77", "1004.57", "1001.32", "998.00", "994.64", "991.22", "987.75", "984.22", "980.64", "977.01", "973.34", "969.61", "965.83", "962.00", "958.13", "954.21", "950.24", "946.22", "942.16", "933.90", "925.45", "916.81", "908.00", "899.00", "889.81", "880.45", "870.89", "861.16", "851.23", "841.11", "830.81", "820.31", "809.62", "798.73", "787.65", "776.38", "764.92", "753.26", "741.41", "729.38", "717.17", "704.79", "692.24", "679.53", "666.69", "653.72", "640.65", "627.50", "614.30", "587.85", "561.58", "535.78", "510.76", "486.77", "464.01", "442.61", "422.65", "404.12", "386.99", "371.22", "356.70", "343.35", "331.06", "319.74", "309.29", "299.62", "290.67", "282.34", "274.59", "267.35", "260.58", "254.23", "248.25", "242.62", "218.70", "199.96", "184.78", "172.15", "161.42", "152.15", "136.85", "124.65" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "130.88", "150.15", "169.54", "189.02", "208.58", "228.20", "247.87", "267.58", "287.32", "307.09", "326.89", "346.70", "366.54", "386.39", "406.25", "426.13", "446.02", "465.93", "485.84", "505.77", "525.70", "545.65", "565.61", "585.58", "605.57", "625.57", "645.58", "665.61", "685.66", "705.72", "725.80", "745.90", "766.02", "786.16", "806.32", "826.51", "846.72", "866.96", "887.22", "907.51", "927.83", "968.56", "1009.4", "1050.4", "1091.6", "1132.9", "1174.3", "1216.0", "1257.8", "1299.8", "1342.0", "1384.5", "1427.1", "1470.0", "1513.2", "1556.6", "1600.2", "1644.2", "1688.4", "1732.9", "1777.7", "1822.8", "1868.3", "1914.1", "1960.2", "2006.6", "2053.4", "2100.5", "2147.9", "2195.6", "2243.5", "2340.1", "2437.3", "2534.6", "2631.7", "2727.9", "2822.9", "2916.4", "3007.9", "3097.5", "3184.9", "3270.1", "3353.3", "3434.3", "3513.5", "3590.8", "3666.4", "3740.5", "3813.1", "3884.5", "3954.7", "4023.9", "4092.1", "4159.5", "4226.1", "4292.0", "4613.3", "4925.3", "5232.0", "5535.9", "5838.6", "6140.9", "6747.0", "7356.9" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.01768", "0.05222", "0.12131", "0.18952", "0.25682", "0.32318", "0.38860", "0.45308", "0.51663", "0.57927", "0.64100", "0.70186", "0.76184", "0.82099", "0.87930", "0.93682", "0.99354", "1.0495", "1.1047", "1.1592", "1.2130", "1.2661", "1.3186", "1.3703", "1.4215", "1.4721", "1.5220", "1.5714", "1.6202", "1.6685", "1.7162", "1.7634", "1.8101", "1.8564", "1.9021", "1.9474", "1.9923", "2.0367", "2.0807", "2.1243", "2.1674", "2.2526", "2.3363", "2.4186", "2.4996", "2.5793", "2.6578", "2.7352", "2.8115", "2.8868", "2.9611", "3.0345", "3.1070", "3.1787", "3.2497", "3.3199", "3.3894", "3.4582", "3.5265", "3.5941", "3.6612", "3.7277", "3.7938", "3.8594", "3.9245", "3.9892", "4.0534", "4.1172", "4.1805", "4.2434", "4.3059", "4.4292", "4.5502", "4.6685", "4.7835", "4.8951", "5.0026", "5.1061", "5.2053", "5.3003", "5.3910", "5.4778", "5.5606", "5.6399", "5.7157", "5.7884", "5.8582", "5.9254", "5.9901", "6.0525", "6.1129", "6.1714", "6.2281", "6.2832", "6.3367", "6.3889", "6.6319", "6.8513", "7.0527", "7.2400", "7.4157", "7.5816", "7.8890", "8.1699" ); "specific volume" = ( "cm3/g@L3/M", "0.94265", "0.94399", "0.94545", "0.94701", "0.94866", "0.95040", "0.95223", "0.95415", "0.95614", "0.95822", "0.96037", "0.96261", "0.96492", "0.96731", "0.96978", "0.97233", "0.97495", "0.97765", "0.98042", "0.98327", "0.98620", "0.98921", "0.99229", "0.99545", "0.99869", "1.00200", "1.00539", "1.00886", "1.01241", "1.01603", "1.01974", "1.02353", "1.02740", "1.03135", "1.03538", "1.03950", "1.04370", "1.04799", "1.05237", "1.05683", "1.06139", "1.07078", "1.08056", "1.09074", "1.10133", "1.11235", "1.12383", "1.13579", "1.14824", "1.16123", "1.1748", "1.1889", "1.2037", "1.2191", "1.2352", "1.2520", "1.2696", "1.2880", "1.3073", "1.3276", "1.3488", "1.3710", "1.3944", "1.4189", "1.4446", "1.4716", "1.4999", "1.5297", "1.5609", "1.5936", "1.6279", "1.7011", "1.7807", "1.8664", "1.9579", "2.0544", "2.1551", "2.2593", "2.3661", "2.4745", "2.5840", "2.6938", "2.8035", "2.9125", "3.0206", "3.1276", "3.2332", "3.3375", "3.4404", "3.5418", "3.6418", "3.7404", "3.8376", "3.9335", "4.0282", "4.1216", "4.5725", "5.0009", "5.4117", "5.8088", "6.1950", "6.5724", "7.3072", "8.0223" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1068.15", "1066.51", "1064.76", "1062.92", "1060.99", "1058.98", "1056.89", "1054.73", "1052.50", "1050.21", "1047.84", "1045.41", "1042.91", "1040.35", "1037.73", "1035.04", "1032.30", "1029.49", "1026.63", "1023.70", "1020.72", "1017.69", "1014.60", "1011.46", "1008.26", "1005.01", "1001.72", "998.37", "994.97", "991.52", "988.03", "984.49", "980.91", "977.28", "973.60", "969.88", "966.12", "962.31", "958.46", "954.56", "950.63", "942.64", "934.48", "926.15", "917.67", "909.02", "900.22", "891.26", "882.14", "872.86", "863.42", "853.82", "844.07", "834.16", "824.09", "813.87", "803.49", "792.96", "782.28", "771.45", "760.48", "749.37", "738.12", "726.74", "715.24", "703.63", "691.91", "680.11", "668.23", "656.28", "644.29", "620.27", "596.33", "572.67", "549.51", "527.03", "505.42", "484.79", "465.24", "446.82", "429.54", "413.38", "398.31", "384.28", "371.22", "359.07", "347.76", "337.22", "327.40", "318.22", "309.63", "301.59", "294.03", "286.93", "280.24", "273.92", "246.98", "225.83", "208.69", "194.43", "182.33", "171.87", "154.64", "140.92" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "148.21", "167.35", "186.63", "206.01", "225.47", "244.99", "264.57", "284.18", "303.83", "323.50", "343.20", "362.92", "382.66", "402.41", "422.18", "441.95", "461.74", "481.54", "501.35", "521.17", "540.99", "560.83", "580.68", "600.54", "620.41", "640.29", "660.19", "680.09", "700.01", "719.95", "739.90", "759.87", "779.86", "799.86", "819.88", "839.92", "859.99", "880.07", "900.18", "920.31", "940.47", "980.86", "1021.4", "1062.0", "1102.7", "1143.6", "1184.6", "1225.7", "1267.0", "1308.5", "1350.1", "1391.9", "1433.9", "1476.1", "1518.4", "1561.0", "1603.7", "1646.7", "1689.9", "1733.3", "1777.0", "1820.8", "1864.9", "1909.3", "1953.9", "1998.7", "2043.7", "2089.0", "2134.5", "2180.3", "2226.2", "2318.5", "2411.4", "2504.5", "2597.5", "2690.1", "2782.0", "2872.8", "2962.3", "3050.4", "3136.9", "3221.7", "3304.8", "3386.2", "3466.0", "3544.2", "3620.8", "3696.1", "3770.1", "3842.8", "3914.4", "3985.0", "4054.6", "4123.3", "4191.3", "4258.5", "4586.0", "4903.2", "5214.4", "5522.1", "5827.9", "6133.0", "6743.6", "7357.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.02302", "0.04642", "0.11511", "0.18296", "0.24991", "0.31595", "0.38105", "0.44523", "0.50847", "0.57081", "0.63224", "0.69280", "0.75249", "0.81134", "0.86936", "0.92658", "0.98301", "1.0387", "1.0936", "1.1478", "1.2013", "1.2541", "1.3063", "1.3578", "1.4086", "1.4589", "1.5085", "1.5576", "1.6061", "1.6541", "1.7015", "1.7484", "1.7948", "1.8407", "1.8862", "1.9312", "1.9757", "2.0198", "2.0634", "2.1067", "2.1495", "2.2340", "2.3169", "2.3985", "2.4786", "2.5575", "2.6352", "2.7116", "2.7870", "2.8613", "2.9345", "3.0068", "3.0782", "3.1487", "3.2183", "3.2872", "3.3553", "3.4226", "3.4892", "3.5552", "3.6205", "3.6852", "3.7493", "3.8128", "3.8758", "3.9382", "4.0001", "4.0614", "4.1222", "4.1826", "4.2423", "4.3603", "4.4759", "4.5890", "4.6993", "4.8066", "4.9106", "5.0112", "5.1082", "5.2016", "5.2913", "5.3776", "5.4605", "5.5400", "5.6165", "5.6901", "5.7609", "5.8291", "5.8950", "5.9586", "6.0202", "6.0798", "6.1377", "6.1939", "6.2485", "6.3018", "6.5494", "6.7725", "6.9769", "7.1665", "7.3440", "7.5114", "7.8211", "8.1036" ); "specific volume" = ( "cm3/g@L3/M", "0.93620", "0.93764", "0.93918", "0.94081", "0.94252", "0.94431", "0.94617", "0.94811", "0.95012", "0.95219", "0.95434", "0.95656", "0.95885", "0.96121", "0.96364", "0.96614", "0.96871", "0.97135", "0.97406", "0.97685", "0.97970", "0.98262", "0.98561", "0.98867", "0.99181", "0.99501", "0.99829", "1.00164", "1.00506", "1.00855", "1.01211", "1.01575", "1.01946", "1.02325", "1.02712", "1.03106", "1.03507", "1.03917", "1.04334", "1.04760", "1.05193", "1.06086", "1.07012", "1.07974", "1.08972", "1.10008", "1.11084", "1.12201", "1.13361", "1.14566", "1.1582", "1.1712", "1.1847", "1.1988", "1.2135", "1.2287", "1.2446", "1.2611", "1.2783", "1.2963", "1.3150", "1.3345", "1.3548", "1.3760", "1.3981", "1.4212", "1.4453", "1.4704", "1.4965", "1.5237", "1.5521", "1.6122", "1.6769", "1.7462", "1.8198", "1.8974", "1.9786", "2.0627", "2.1494", "2.2380", "2.3281", "2.4191", "2.5106", "2.6023", "2.6938", "2.7850", "2.8756", "2.9654", "3.0544", "3.1425", "3.2296", "3.3158", "3.4010", "3.4852", "3.5684", "3.6507", "4.0489", "4.4280", "4.7918", "5.1432", "5.4847", "5.8182", "6.4665", "7.0964" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1075.18", "1073.42", "1071.57", "1069.63", "1067.62", "1065.55", "1063.40", "1061.20", "1058.93", "1056.60", "1054.22", "1051.77", "1049.27", "1046.71", "1044.09", "1041.42", "1038.69", "1035.90", "1033.07", "1030.18", "1027.23", "1024.24", "1021.20", "1018.10", "1014.96", "1011.77", "1008.53", "1005.25", "1001.92", "998.55", "995.13", "991.67", "988.17", "984.62", "981.04", "977.41", "973.75", "970.04", "966.29", "962.51", "958.69", "950.93", "943.03", "934.98", "926.78", "918.45", "909.97", "901.36", "892.60", "883.71", "874.69", "865.53", "856.24", "846.82", "837.27", "827.59", "817.78", "807.85", "797.80", "787.63", "777.35", "766.96", "756.46", "745.86", "735.17", "724.40", "713.54", "702.62", "691.64", "680.61", "669.55", "647.39", "625.26", "603.33", "581.73", "560.62", "540.14", "520.40", "501.49", "483.47", "466.39", "450.24", "435.02", "420.71", "407.26", "394.64", "382.81", "371.70", "361.27", "351.48", "342.27", "333.60", "325.43", "317.73", "310.45", "303.56", "274.02", "250.70", "231.76", "215.99", "202.59", "191.03", "171.96", "156.78" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "165.31", "184.34", "203.52", "222.81", "242.18", "261.62", "281.11", "300.64", "320.21", "339.80", "359.42", "379.05", "398.70", "418.36", "438.03", "457.72", "477.41", "497.11", "516.83", "536.55", "556.27", "576.01", "595.75", "615.51", "635.27", "655.05", "674.83", "694.63", "714.43", "734.25", "754.09", "773.93", "793.80", "813.67", "833.57", "853.48", "873.41", "893.36", "913.33", "933.32", "953.33", "993.41", "1033.6", "1073.9", "1114.2", "1154.7", "1195.3", "1236.1", "1276.9", "1317.9", "1359.0", "1400.3", "1441.7", "1483.3", "1525.0", "1566.8", "1608.9", "1651.0", "1693.4", "1735.9", "1778.6", "1821.5", "1864.6", "1907.8", "1951.2", "1994.8", "2038.6", "2082.6", "2126.7", "2170.9", "2215.3", "2304.6", "2394.2", "2484.0", "2573.9", "2663.6", "2752.8", "2841.3", "2928.8", "3015.3", "3100.6", "3184.5", "3267.1", "3348.3", "3428.1", "3506.6", "3583.8", "3659.6", "3734.3", "3807.9", "3880.4", "3952.0", "4022.6", "4092.3", "4161.3", "4229.6", "4562.1", "4883.8", "5198.9", "5510.0", "5818.7", "6126.4", "6741.1", "7357.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.02874", "0.04029", "0.10863", "0.17616", "0.24282", "0.30857", "0.37341", "0.43731", "0.50029", "0.56236", "0.62353", "0.68382", "0.74324", "0.80182", "0.85958", "0.91653", "0.97269", "1.0281", "1.0828", "1.1367", "1.1899", "1.2424", "1.2943", "1.3455", "1.3961", "1.4461", "1.4955", "1.5443", "1.5925", "1.6402", "1.6874", "1.7340", "1.7801", "1.8257", "1.8709", "1.9156", "1.9598", "2.0036", "2.0469", "2.0899", "2.1324", "2.2162", "2.2985", "2.3794", "2.4588", "2.5370", "2.6139", "2.6896", "2.7641", "2.8375", "2.9099", "2.9813", "3.0517", "3.1211", "3.1897", "3.2575", "3.3244", "3.3905", "3.4558", "3.5205", "3.5844", "3.6476", "3.7102", "3.7721", "3.8334", "3.8941", "3.9543", "4.0138", "4.0727", "4.1311", "4.1890", "4.3029", "4.4145", "4.5236", "4.6302", "4.7341", "4.8351", "4.9331", "5.0280", "5.1197", "5.2082", "5.2936", "5.3759", "5.4553", "5.5318", "5.6056", "5.6769", "5.7457", "5.8122", "5.8765", "5.9389", "5.9993", "6.0580", "6.1151", "6.1706", "6.2246", "6.4761", "6.7023", "6.9093", "7.1010", "7.2802", "7.4490", "7.7608", "8.0447" ); "specific volume" = ( "cm3/g@L3/M", "0.93008", "0.93160", "0.93321", "0.93490", "0.93666", "0.93849", "0.94038", "0.94233", "0.94435", "0.94643", "0.94857", "0.95078", "0.95304", "0.95538", "0.95777", "0.96023", "0.96275", "0.96534", "0.96799", "0.97071", "0.97349", "0.97633", "0.97924", "0.98222", "0.98526", "0.98837", "0.99154", "0.99478", "0.99808", "1.00145", "1.00489", "1.00840", "1.01197", "1.01562", "1.01933", "1.02311", "1.02696", "1.03089", "1.03488", "1.03895", "1.04309", "1.05160", "1.06041", "1.06954", "1.07900", "1.08879", "1.09894", "1.10944", "1.12032", "1.13159", "1.1433", "1.1554", "1.1679", "1.1809", "1.1944", "1.2083", "1.2228", "1.2379", "1.2534", "1.2696", "1.2864", "1.3039", "1.3219", "1.3407", "1.3602", "1.3805", "1.4015", "1.4232", "1.4458", "1.4693", "1.4935", "1.5447", "1.5993", "1.6575", "1.7190", "1.7837", "1.8514", "1.9216", "1.9941", "2.0684", "2.1441", "2.2210", "2.2987", "2.3770", "2.4554", "2.5339", "2.6123", "2.6904", "2.7680", "2.8451", "2.9217", "2.9976", "3.0728", "3.1473", "3.2212", "3.2943", "3.6494", "3.9888", "4.3148", "4.6299", "4.9361", "5.2349", "5.8152", "6.3784" ); t = ( "C@O", 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1081.9", "1078.1", "1074.0", "1071.9", "1069.7", "1065.2", "1060.4", "1055.4", "1050.3", "1044.9", "1039.3", "1033.5", "1027.6", "1021.4", "1015.1", "1008.6", "1002.0", "995.15", "988.18", "981.06", "973.79", "966.39", "958.84", "951.16", "943.35", "935.41", "927.35", "919.16", "910.85", "902.41", "893.86", "885.19", "867.51", "849.39", "830.83", "811.87", "792.53", "772.83", "752.82", "732.55", "712.06", "691.43", "639.79", "589.36", "541.84", "498.59", "460.23", "426.73", "372.48", "331.46", "274.53", "236.80", "209.60", "188.81", "172.24" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "182.21", "220.22", "258.73", "278.10", "297.52", "336.47", "375.53", "414.65", "453.82", "493.03", "532.27", "571.54", "610.83", "650.15", "689.51", "728.90", "768.34", "807.82", "847.37", "886.97", "926.63", "966.37", "1006.2", "1046.1", "1086.0", "1126.1", "1166.3", "1206.5", "1246.9", "1287.3", "1327.9", "1368.6", "1450.3", "1532.5", "1615.2", "1698.4", "1782.2", "1866.5", "1951.3", "2036.7", "2122.6", "2209.0", "2426.6", "2644.9", "2861.3", "3073.1", "3278.5", "3476.6", "3852.2", "4204.9", "4867.0", "5499.5", "6121.0", "6739.6", "7359.2" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.03477", "0.10191", "0.23557", "0.30108", "0.36567", "0.49209", "0.61486", "0.73409", "0.84994", "0.96257", "1.0721", "1.1788", "1.2827", "1.3840", "1.4829", "1.5794", "1.6737", "1.7659", "1.8562", "1.9446", "2.0311", "2.1160", "2.1993", "2.2810", "2.3612", "2.4401", "2.5176", "2.5938", "2.6688", "2.7426", "2.8153", "2.8869", "3.0270", "3.1633", "3.2961", "3.4255", "3.5518", "3.6752", "3.7959", "3.9140", "4.0296", "4.1428", "4.4154", "4.6729", "4.9139", "5.1374", "5.3432", "5.5323", "5.8671", "6.1558", "6.6391", "7.0419", "7.3928", "7.7066", "7.9919" ); "specific volume" = ( "cm3/g@L3/M", "0.92426", "0.92752", "0.93106", "0.93292", "0.93483", "0.93882", "0.94304", "0.94748", "0.95214", "0.95704", "0.96218", "0.96755", "0.97316", "0.97902", "0.98511", "0.99145", "0.99804", "1.0049", "1.0120", "1.0193", "1.0269", "1.0348", "1.0429", "1.0513", "1.0600", "1.0690", "1.0783", "1.0880", "1.0979", "1.1081", "1.1187", "1.1297", "1.1527", "1.1773", "1.2036", "1.2317", "1.2618", "1.2939", "1.3283", "1.3651", "1.4044", "1.4463", "1.5630", "1.6968", "1.8456", "2.0056", "2.1728", "2.3434", "2.6847", "3.0169", "3.6426", "4.2230", "4.7710", "5.2964", "5.8057" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1097.8", "1093.7", "1089.3", "1087.0", "1084.7", "1080.0", "1075.1", "1070.1", "1064.9", "1059.6", "1054.1", "1048.5", "1042.7", "1036.7", "1030.7", "1024.4", "1018.0", "1011.5", "1004.9", "998.15", "991.27", "984.28", "977.18", "969.97", "962.66", "955.25", "947.74", "940.13", "932.43", "924.64", "916.77", "908.81", "892.64", "876.17", "859.41", "842.38", "825.11", "807.62", "789.95", "772.13", "754.20", "736.20", "691.20", "646.91", "604.30", "564.30", "527.56", "494.38", "438.28", "393.85", "329.51", "285.59", "253.53", "228.89", "209.20" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "223.68", "261.29", "299.49", "318.72", "338.00", "376.66", "415.41", "454.21", "493.03", "531.87", "570.73", "609.59", "648.47", "687.37", "726.28", "765.22", "804.19", "843.18", "882.22", "921.30", "960.42", "999.59", "1038.8", "1078.1", "1117.4", "1156.8", "1196.3", "1235.8", "1275.4", "1315.1", "1354.8", "1394.6", "1474.4", "1554.5", "1634.9", "1715.7", "1796.7", "1878.0", "1959.6", "2041.5", "2123.6", "2206.0", "2412.7", "2619.9", "2826.3", "3030.4", "3230.7", "3426.2", "3802.1", "4159.5", "4834.9", "5480.3", "6112.2", "6739.3", "7365.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.05087", "0.08435", "0.21694", "0.28196", "0.34608", "0.47156", "0.59337", "0.71161", "0.82643", "0.93801", "1.0465", "1.1521", "1.2549", "1.3551", "1.4529", "1.5483", "1.6414", "1.7325", "1.8216", "1.9088", "1.9942", "2.0779", "2.1599", "2.2404", "2.3194", "2.3969", "2.4731", "2.5479", "2.6215", "2.6938", "2.7650", "2.8350", "2.9719", "3.1048", "3.2338", "3.3594", "3.4815", "3.6006", "3.7166", "3.8299", "3.9404", "4.0483", "4.3074", "4.5518", "4.7817", "4.9970", "5.1977", "5.3843", "5.7193", "6.0118", "6.5049", "6.9158", "7.2726", "7.5907", "7.8791" ); "specific volume" = ( "cm3/g@L3/M", "0.91089", "0.91437", "0.91806", "0.91997", "0.92192", "0.92595", "0.93013", "0.93449", "0.93902", "0.94374", "0.94865", "0.95375", "0.95905", "0.96456", "0.97026", "0.97616", "0.98228", "0.98859", "0.99512", "1.0019", "1.0088", "1.0160", "1.0234", "1.0310", "1.0388", "1.0468", "1.0551", "1.0637", "1.0725", "1.0815", "1.0908", "1.1003", "1.1203", "1.1413", "1.1636", "1.1871", "1.2120", "1.2382", "1.2659", "1.2951", "1.3259", "1.3583", "1.4468", "1.5458", "1.6548", "1.7721", "1.8955", "2.0227", "2.2816", "2.5391", "3.0348", "3.5016", "3.9443", "4.3690", "4.7802" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1112.4", "1108.0", "1103.4", "1101.0", "1098.7", "1093.8", "1088.9", "1083.8", "1078.7", "1073.4", "1068.0", "1062.4", "1056.8", "1051.0", "1045.1", "1039.1", "1032.9", "1026.7", "1020.3", "1013.8", "1007.3", "1000.6", "993.85", "987.01", "980.09", "973.09", "966.01", "958.85", "951.63", "944.33", "936.97", "929.54", "914.51", "899.25", "883.78", "868.14", "852.34", "836.40", "820.34", "804.21", "788.01", "771.79", "731.32", "691.40", "652.63", "615.61", "580.87", "548.76", "492.80", "446.94", "378.23", "329.87", "293.99", "266.16", "243.79" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "264.27", "301.54", "339.50", "358.62", "377.79", "416.25", "454.77", "493.31", "531.86", "570.41", "608.95", "647.49", "686.02", "724.56", "763.11", "801.66", "840.23", "878.82", "917.44", "956.08", "994.76", "1033.5", "1072.2", "1111.0", "1149.8", "1188.7", "1227.6", "1266.5", "1305.5", "1344.6", "1383.7", "1422.8", "1501.2", "1579.8", "1658.5", "1737.5", "1816.6", "1895.9", "1975.3", "2054.8", "2134.5", "2214.2", "2414.0", "2613.8", "2813.1", "3011.1", "3206.8", "3399.3", "3773.2", "4132.3", "4815.4", "5469.7", "6109.8", "6743.7", "7375.8" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.06791", "0.06608", "0.19783", "0.26251", "0.32629", "0.45108", "0.57217", "0.68964", "0.80366", "0.91439", "1.0220", "1.1267", "1.2286", "1.3279", "1.4247", "1.5192", "1.6114", "1.7016", "1.7897", "1.8759", "1.9603", "2.0430", "2.1241", "2.2035", "2.2814", "2.3579", "2.4330", "2.5068", "2.5792", "2.6505", "2.7205", "2.7894", "2.9238", "3.0541", "3.1805", "3.3033", "3.4226", "3.5386", "3.6516", "3.7616", "3.8688", "3.9733", "4.2236", "4.4593", "4.6813", "4.8902", "5.0862", "5.2700", "5.6032", "5.8970", "6.3957", "6.8123", "7.1737", "7.4953", "7.7864" ); "specific volume" = ( "cm3/g@L3/M", "0.89892", "0.90252", "0.90630", "0.90824", "0.91021", "0.91423", "0.91838", "0.92265", "0.92707", "0.93163", "0.93635", "0.94123", "0.94627", "0.95148", "0.95686", "0.96241", "0.96814", "0.97404", "0.98011", "0.98636", "0.99279", "0.99940", "1.0062", "1.0132", "1.0203", "1.0277", "1.0352", "1.0429", "1.0508", "1.0590", "1.0673", "1.0758", "1.0935", "1.1120", "1.1315", "1.1519", "1.1732", "1.1956", "1.2190", "1.2435", "1.2690", "1.2957", "1.3674", "1.4463", "1.5323", "1.6244", "1.7216", "1.8223", "2.0292", "2.2374", "2.6439", "3.0315", "3.4015", "3.7572", "4.1018" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1126.0", "1121.4", "1116.6", "1114.2", "1111.7", "1106.8", "1101.8", "1096.7", "1091.6", "1086.3", "1081.0", "1075.5", "1070.0", "1064.3", "1058.6", "1052.7", "1046.8", "1040.7", "1034.6", "1028.4", "1022.0", "1015.7", "1009.2", "1002.7", "996.05", "989.38", "982.64", "975.85", "969.00", "962.09", "955.13", "948.13", "933.98", "919.66", "905.20", "890.60", "875.90", "861.12", "846.27", "831.37", "816.45", "801.53", "764.39", "727.74", "692.00", "657.54", "624.76", "593.97", "538.99", "492.70", "421.42", "369.97", "331.18", "300.77", "276.17" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "304.15", "341.11", "378.88", "397.92", "417.02", "455.31", "493.66", "532.01", "570.35", "608.66", "646.94", "685.20", "723.45", "761.68", "799.91", "838.14", "876.38", "914.63", "952.89", "991.16", "1029.5", "1067.8", "1106.1", "1144.5", "1182.9", "1221.3", "1259.8", "1298.3", "1336.8", "1375.3", "1413.9", "1452.5", "1529.8", "1607.2", "1684.7", "1762.3", "1840.0", "1917.7", "1995.6", "2073.4", "2151.3", "2229.2", "2424.1", "2618.7", "2812.9", "3006.1", "3197.8", "3387.4", "3758.6", "4117.9", "4805.8", "5466.5", "6112.8", "6752.4", "7389.3" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.08545", "0.04742", "0.17851", "0.24292", "0.30644", "0.43073", "0.55128", "0.66816", "0.78154", "0.89158", "0.99848", "1.1024", "1.2036", "1.3021", "1.3981", "1.4918", "1.5832", "1.6725", "1.7599", "1.8453", "1.9289", "2.0107", "2.0909", "2.1696", "2.2466", "2.3223", "2.3965", "2.4694", "2.5409", "2.6113", "2.6804", "2.7483", "2.8809", "3.0092", "3.1336", "3.2543", "3.3714", "3.4852", "3.5959", "3.7036", "3.8084", "3.9105", "4.1547", "4.3843", "4.6005", "4.8043", "4.9964", "5.1774", "5.5081", "5.8021", "6.3043", "6.7250", "7.0900", "7.4144", "7.7077" ); "specific volume" = ( "cm3/g@L3/M", "0.88809", "0.89174", "0.89556", "0.89751", "0.89948", "0.90349", "0.90759", "0.91179", "0.91609", "0.92052", "0.92507", "0.92976", "0.93458", "0.93955", "0.94466", "0.94992", "0.95532", "0.96088", "0.96658", "0.97243", "0.97843", "0.98459", "0.99089", "0.99735", "1.0040", "1.0107", "1.0177", "1.0247", "1.0320", "1.0394", "1.0470", "1.0547", "1.0707", "1.0874", "1.1047", "1.1228", "1.1417", "1.1613", "1.1817", "1.2028", "1.2248", "1.2476", "1.3082", "1.3741", "1.4451", "1.5208", "1.6006", "1.6836", "1.8553", "2.0296", "2.3729", "2.7029", "3.0195", "3.3248", "3.6209" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1138.7", "1134.0", "1129.1", "1126.6", "1124.1", "1119.1", "1114.0", "1109.0", "1103.8", "1098.6", "1093.3", "1087.9", "1082.5", "1076.9", "1071.3", "1065.6", "1059.8", "1053.9", "1047.9", "1041.9", "1035.8", "1029.7", "1023.4", "1017.2", "1010.8", "1004.4", "997.97", "991.47", "984.93", "978.34", "971.72", "965.05", "951.61", "938.05", "924.38", "910.63", "896.80", "882.92", "869.00", "855.06", "841.13", "827.22", "792.62", "758.53", "725.20", "692.92", "661.94", "632.51", "578.96", "532.80", "460.01", "406.38", "365.39", "332.93", "306.47" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "343.44", "380.12", "417.72", "436.70", "455.74", "493.92", "532.14", "570.34", "608.50", "646.62", "684.69", "722.72", "760.72", "798.70", "836.66", "874.61", "912.56", "950.51", "988.47", "1026.4", "1064.4", "1102.4", "1140.4", "1178.4", "1216.5", "1254.6", "1292.6", "1330.7", "1368.9", "1407.0", "1445.2", "1483.3", "1559.7", "1636.2", "1712.7", "1789.2", "1865.8", "1942.4", "2019.0", "2095.6", "2172.1", "2248.7", "2439.9", "2630.7", "2820.9", "3010.4", "3198.8", "3385.7", "3753.7", "4112.6", "4803.7", "5469.3", "6120.6", "6764.7", "7405.6" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.10324", "0.02861", "0.15913", "0.22332", "0.28666", "0.41057", "0.53071", "0.64714", "0.76000", "0.86948", "0.97579", "1.0791", "1.1796", "1.2774", "1.3728", "1.4658", "1.5565", "1.6452", "1.7318", "1.8165", "1.8994", "1.9806", "2.0601", "2.1380", "2.2144", "2.2893", "2.3628", "2.4349", "2.5058", "2.5753", "2.6437", "2.7109", "2.8419", "2.9687", "3.0915", "3.2105", "3.3260", "3.4381", "3.5470", "3.6529", "3.7560", "3.8563", "4.0959", "4.3210", "4.5328", "4.7327", "4.9215", "5.0998", "5.4278", "5.7214", "6.2259", "6.6497", "7.0174", "7.3442", "7.6393" ); "specific volume" = ( "cm3/g@L3/M", "0.87819", "0.88187", "0.88569", "0.88764", "0.88961", "0.89358", "0.89763", "0.90175", "0.90596", "0.91026", "0.91467", "0.91918", "0.92382", "0.92858", "0.93346", "0.93846", "0.94360", "0.94886", "0.95424", "0.95976", "0.96541", "0.97119", "0.97709", "0.98313", "0.98930", "0.99560", "1.0020", "1.0086", "1.0153", "1.0221", "1.0291", "1.0362", "1.0508", "1.0660", "1.0818", "1.0981", "1.1151", "1.1326", "1.1507", "1.1695", "1.1889", "1.2089", "1.2616", "1.3183", "1.3789", "1.4432", "1.5107", "1.5810", "1.7272", "1.8769", "2.1739", "2.4607", "2.7368", "3.0037", "3.2629" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1150.6", "1145.8", "1140.8", "1138.3", "1135.8", "1130.7", "1125.6", "1120.5", "1115.4", "1110.2", "1105.0", "1099.7", "1094.3", "1088.8", "1083.3", "1077.7", "1072.1", "1066.3", "1060.5", "1054.7", "1048.8", "1042.8", "1036.8", "1030.7", "1024.6", "1018.4", "1012.2", "1006.0", "999.68", "993.37", "987.01", "980.63", "967.79", "954.85", "941.84", "928.76", "915.64", "902.49", "889.33", "876.16", "863.02", "849.90", "817.35", "785.30", "753.95", "723.50", "694.12", "666.00", "614.09", "568.44", "494.83", "439.61", "396.92", "362.82", "334.85" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "382.24", "418.65", "456.11", "475.04", "494.03", "532.13", "570.25", "608.33", "646.36", "684.31", "722.20", "760.04", "797.84", "835.59", "873.32", "911.04", "948.74", "986.43", "1024.1", "1061.8", "1099.5", "1137.2", "1175.0", "1212.7", "1250.4", "1288.2", "1325.9", "1363.7", "1401.5", "1439.3", "1477.1", "1514.9", "1590.6", "1666.3", "1742.0", "1817.6", "1893.3", "1969.0", "2044.6", "2120.2", "2195.8", "2271.3", "2459.7", "2647.5", "2834.8", "3021.2", "3206.8", "3391.4", "3756.2", "4114.0", "4807.2", "5476.9", "6132.3", "6780.2", "7424.5" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.12111", "0.00979", "0.13980", "0.20382", "0.26701", "0.39064", "0.51047", "0.62654", "0.73899", "0.84802", "0.95383", "1.0566", "1.1566", "1.2538", "1.3486", "1.4410", "1.5312", "1.6192", "1.7053", "1.7894", "1.8717", "1.9522", "2.0311", "2.1084", "2.1842", "2.2585", "2.3314", "2.4029", "2.4731", "2.5421", "2.6098", "2.6764", "2.8061", "2.9316", "3.0531", "3.1708", "3.2849", "3.3957", "3.5032", "3.6078", "3.7095", "3.8084", "4.0445", "4.2661", "4.4746", "4.6713", "4.8573", "5.0334", "5.3585", "5.6512", "6.1572", "6.5836", "6.9536", "7.2823", "7.5790" ); "specific volume" = ( "cm3/g@L3/M", "0.86908", "0.87276", "0.87657", "0.87850", "0.88045", "0.88439", "0.88838", "0.89242", "0.89654", "0.90073", "0.90501", "0.90938", "0.91385", "0.91842", "0.92310", "0.92789", "0.93279", "0.93780", "0.94292", "0.94815", "0.95350", "0.95895", "0.96452", "0.97021", "0.97600", "0.98191", "0.98793", "0.99407", "1.0003", "1.0067", "1.0132", "1.0197", "1.0333", "1.0473", "1.0618", "1.0767", "1.0921", "1.1080", "1.1244", "1.1413", "1.1587", "1.1766", "1.2235", "1.2734", "1.3263", "1.3822", "1.4407", "1.5015", "1.6284", "1.7592", "2.0209", "2.2747", "2.5194", "2.7562", "2.9864" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1161.9", "1157.0", "1152.0", "1149.4", "1146.9", "1141.8", "1136.7", "1131.6", "1126.4", "1121.3", "1116.1", "1110.8", "1105.5", "1100.1", "1094.7", "1089.2", "1083.7", "1078.1", "1072.4", "1066.7", "1061.0", "1055.2", "1049.3", "1043.5", "1037.5", "1031.6", "1025.6", "1019.5", "1013.5", "1007.4", "1001.3", "995.11", "982.77", "970.36", "957.89", "945.39", "932.85", "920.31", "907.77", "895.25", "882.75", "870.30", "839.41", "809.04", "779.33", "750.43", "722.46", "695.55", "645.36", "600.48", "526.57", "470.15", "426.11", "390.69", "361.47" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "420.60", "456.76", "494.10", "512.98", "531.94", "569.97", "608.02", "646.01", "683.92", "721.75", "759.49", "797.17", "834.78", "872.35", "909.88", "947.39", "984.87", "1022.3", "1059.8", "1097.3", "1134.7", "1172.2", "1209.7", "1247.1", "1284.6", "1322.1", "1359.6", "1397.1", "1434.6", "1472.1", "1509.6", "1547.1", "1622.2", "1697.2", "1772.2", "1847.2", "1922.1", "1997.1", "2071.9", "2146.7", "2221.4", "2296.1", "2482.3", "2667.8", "2852.7", "3036.8", "3220.1", "3402.5", "3764.2", "4120.6", "4815.0", "5488.1", "6147.1", "6798.3", "7445.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.13897", "-0.00896", "0.12060", "0.18448", "0.24755", "0.37097", "0.49056", "0.60635", "0.71848", "0.82713", "0.93253", "1.0349", "1.1344", "1.2311", "1.3254", "1.4173", "1.5070", "1.5945", "1.6800", "1.7636", "1.8454", "1.9254", "2.0037", "2.0805", "2.1558", "2.2295", "2.3019", "2.3729", "2.4426", "2.5110", "2.5782", "2.6442", "2.7729", "2.8973", "3.0177", "3.1343", "3.2474", "3.3570", "3.4635", "3.5669", "3.6675", "3.7653", "3.9986", "4.2175", "4.4234", "4.6176", "4.8013", "4.9754", "5.2977", "5.5892", "6.0960", "6.5246", "6.8967", "7.2270", "7.5252" ); "specific volume" = ( "cm3/g@L3/M", "0.86064", "0.86430", "0.86808", "0.87000", "0.87193", "0.87582", "0.87975", "0.88372", "0.88775", "0.89184", "0.89600", "0.90024", "0.90456", "0.90897", "0.91347", "0.91807", "0.92277", "0.92756", "0.93244", "0.93743", "0.94252", "0.94770", "0.95298", "0.95836", "0.96383", "0.96941", "0.97508", "0.98085", "0.98672", "0.99269", "0.99875", "1.0049", "1.0175", "1.0305", "1.0440", "1.0578", "1.0720", "1.0866", "1.1016", "1.1170", "1.1328", "1.1490", "1.1913", "1.2360", "1.2832", "1.3326", "1.3842", "1.4377", "1.5495", "1.6653", "1.8991", "2.1270", "2.3468", "2.5596", "2.7665" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1182.9", "1177.8", "1172.7", "1170.1", "1167.6", "1162.4", "1157.3", "1152.2", "1147.1", "1142.0", "1136.8", "1131.7", "1126.5", "1121.3", "1116.0", "1110.7", "1105.4", "1100.0", "1094.6", "1089.1", "1083.6", "1078.1", "1072.5", "1066.9", "1061.3", "1055.7", "1050.0", "1044.3", "1038.6", "1032.9", "1027.2", "1021.4", "1009.9", "998.31", "986.72", "975.12", "963.53", "951.94", "940.38", "928.85", "917.37", "905.94", "877.65", "849.88", "822.73", "796.29", "770.63", "745.81", "698.93", "656.02", "582.74", "524.77", "478.68", "441.23", "410.06" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "496.19", "531.91", "569.03", "587.84", "606.75", "644.69", "682.64", "720.51", "758.27", "795.90", "833.42", "870.84", "908.17", "945.43", "982.64", "1019.8", "1056.9", "1094.0", "1131.1", "1168.2", "1205.3", "1242.3", "1279.4", "1316.4", "1353.5", "1390.5", "1427.6", "1464.6", "1501.7", "1538.7", "1575.7", "1612.8", "1686.8", "1760.8", "1834.8", "1908.7", "1982.5", "2056.3", "2129.9", "2203.5", "2277.0", "2350.4", "2533.3", "2715.5", "2896.9", "3077.5", "3257.4", "3436.6", "3792.7", "4145.7", "4840.1", "5518.3", "6183.6", "6840.8", "7493.3" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.17446", "-0.04604", "0.08276", "0.14641", "0.20931", "0.33244", "0.45173", "0.56715", "0.67881", "0.78691", "0.89167", "0.99331", "1.0920", "1.1881", "1.2815", "1.3726", "1.4614", "1.5480", "1.6327", "1.7154", "1.7963", "1.8755", "1.9530", "2.0289", "2.1033", "2.1762", "2.2477", "2.3178", "2.3867", "2.4542", "2.5206", "2.5858", "2.7127", "2.8355", "2.9541", "3.0691", "3.1804", "3.2884", "3.3931", "3.4949", "3.5938", "3.6899", "3.9192", "4.1341", "4.3361", "4.5267", "4.7069", "4.8779", "5.1952", "5.4840", "5.9907", "6.4225", "6.7982", "7.1316", "7.4321" ); "specific volume" = ( "cm3/g@L3/M", "0.84540", "0.84901", "0.85272", "0.85459", "0.85648", "0.86026", "0.86407", "0.86790", "0.87177", "0.87567", "0.87963", "0.88363", "0.88771", "0.89184", "0.89605", "0.90033", "0.90468", "0.90911", "0.91361", "0.91819", "0.92284", "0.92758", "0.93238", "0.93727", "0.94223", "0.94726", "0.95237", "0.95755", "0.96281", "0.96815", "0.97355", "0.97903", "0.99022", "1.0017", "1.0135", "1.0255", "1.0379", "1.0505", "1.0634", "1.0766", "1.0901", "1.1038", "1.1394", "1.1766", "1.2155", "1.2558", "1.2976", "1.3408", "1.4308", "1.5243", "1.7160", "1.9056", "2.0891", "2.2664", "2.4387" ); t = ( "C@O", 0, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1196.9", "1191.7", "1189.2", "1186.6", "1181.4", "1176.3", "1171.2", "1166.1", "1161.0", "1156.0", "1150.9", "1145.8", "1140.7", "1135.6", "1130.4", "1125.2", "1120.0", "1114.8", "1109.5", "1104.2", "1098.9", "1093.6", "1088.2", "1082.9", "1077.5", "1072.1", "1066.7", "1061.3", "1055.8", "1050.4", "1044.9", "1034.0", "1023.1", "1012.2", "1001.3", "990.41", "979.55", "968.73", "957.96", "947.24", "936.58", "910.23", "884.40", "859.16", "834.58", "810.70", "787.55", "743.57", "702.79", "631.24", "572.69", "525.17", "486.16", "453.50" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "605.83", "642.77", "661.54", "680.41", "718.30", "756.21", "794.01", "831.66", "869.17", "906.53", "943.76", "980.88", "1017.9", "1054.9", "1091.8", "1128.6", "1165.5", "1202.2", "1239.0", "1275.8", "1312.5", "1349.2", "1386.0", "1422.7", "1459.4", "1496.1", "1532.8", "1569.5", "1606.2", "1642.8", "1679.5", "1752.8", "1826.0", "1899.2", "1972.3", "2045.3", "2118.2", "2191.0", "2263.7", "2336.3", "2408.8", "2589.4", "2769.3", "2948.3", "3126.6", "3304.1", "3481.0", "3832.9", "4182.5", "4874.7", "5555.8", "6226.3", "6888.7", "7546.0" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "-0.08239", "0.04581", "0.10929", "0.17207", "0.29504", "0.41418", "0.52938", "0.64075", "0.74849", "0.85281", "0.95395", "1.0521", "1.1475", "1.2404", "1.3308", "1.4189", "1.5049", "1.5889", "1.6710", "1.7512", "1.8297", "1.9065", "1.9817", "2.0554", "2.1277", "2.1985", "2.2680", "2.3362", "2.4031", "2.4688", "2.5333", "2.6590", "2.7805", "2.8979", "3.0115", "3.1216", "3.2284", "3.3319", "3.4325", "3.5302", "3.6251", "3.8516", "4.0637", "4.2631", "4.4511", "4.6290", "4.7978", "5.1113", "5.3974", "5.9024", "6.3361", "6.7146", "7.0507", "7.3534" ); "specific volume" = ( "cm3/g@L3/M", "0.83548", "0.83910", "0.84093", "0.84276", "0.84644", "0.85013", "0.85383", "0.85755", "0.86129", "0.86507", "0.86888", "0.87275", "0.87666", "0.88062", "0.88464", "0.88871", "0.89285", "0.89704", "0.90130", "0.90561", "0.90999", "0.91442", "0.91892", "0.92347", "0.92808", "0.93276", "0.93749", "0.94228", "0.94713", "0.95203", "0.95699", "0.96709", "0.97741", "0.98795", "0.99871", "1.0097", "1.0209", "1.0323", "1.0439", "1.0557", "1.0677", "1.0986", "1.1307", "1.1639", "1.1982", "1.2335", "1.2698", "1.3449", "1.4229", "1.5842", "1.7462", "1.9041", "2.0569", "2.2051" ); t = ( "C@O", 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1209.3", "1206.7", "1204.2", "1199.0", "1193.9", "1188.8", "1183.8", "1178.7", "1173.7", "1168.7", "1163.7", "1158.7", "1153.7", "1148.6", "1143.6", "1138.5", "1133.4", "1128.3", "1123.2", "1118.1", "1113.0", "1107.8", "1102.6", "1097.5", "1092.3", "1087.1", "1081.9", "1076.7", "1071.5", "1066.3", "1055.9", "1045.5", "1035.1", "1024.8", "1014.5", "1004.2", "993.95", "983.77", "973.65", "963.59", "938.77", "914.45", "890.71", "867.58", "845.11", "823.30", "781.74", "742.95", "673.70", "615.39", "567.00", "526.77", "492.88" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "715.50", "734.24", "753.09", "790.96", "828.84", "866.61", "904.21", "941.63", "978.88", "1016.0", "1053.0", "1089.8", "1126.6", "1163.3", "1199.9", "1236.5", "1273.1", "1309.6", "1346.1", "1382.6", "1419.1", "1455.5", "1492.0", "1528.4", "1564.9", "1601.3", "1637.7", "1674.1", "1710.5", "1746.8", "1819.6", "1892.2", "1964.7", "2037.2", "2109.6", "2181.9", "2254.0", "2326.1", "2398.0", "2469.8", "2648.8", "2827.0", "3004.3", "3180.9", "3356.8", "3532.0", "3880.7", "4227.6", "4916.6", "5598.7", "6272.9", "6940.0", "7601.7" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.00978", "0.07316", "0.13588", "0.25878", "0.37786", "0.49296", "0.60416", "0.71166", "0.81568", "0.91646", "1.0142", "1.1092", "1.2016", "1.2915", "1.3791", "1.4646", "1.5480", "1.6295", "1.7092", "1.7872", "1.8634", "1.9381", "2.0113", "2.0830", "2.1533", "2.2223", "2.2900", "2.3564", "2.4216", "2.4856", "2.6103", "2.7307", "2.8472", "2.9599", "3.0690", "3.1748", "3.2775", "3.3771", "3.4739", "3.5680", "3.7923", "4.0025", "4.2000", "4.3863", "4.5625", "4.7297", "5.0404", "5.3241", "5.8269", "6.2611", "6.6418", "6.9802", "7.2849" ); "specific volume" = ( "cm3/g@L3/M", "0.82689", "0.82867", "0.83046", "0.83403", "0.83760", "0.84117", "0.84476", "0.84836", "0.85198", "0.85563", "0.85931", "0.86303", "0.86679", "0.87059", "0.87444", "0.87833", "0.88227", "0.88626", "0.89029", "0.89438", "0.89851", "0.90269", "0.90692", "0.91119", "0.91551", "0.91988", "0.92430", "0.92876", "0.93327", "0.93782", "0.94706", "0.95647", "0.96606", "0.97582", "0.98574", "0.99583", "1.0061", "1.0165", "1.0271", "1.0378", "1.0652", "1.0936", "1.1227", "1.1526", "1.1833", "1.2146", "1.2792", "1.3460", "1.4843", "1.6250", "1.7637", "1.8984", "2.0289" ); t = ( "C@O", 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1223.1", "1220.5", "1215.4", "1210.3", "1205.3", "1200.3", "1195.3", "1190.3", "1185.4", "1180.4", "1175.5", "1170.6", "1165.7", "1160.7", "1155.8", "1150.8", "1145.8", "1140.9", "1135.9", "1130.9", "1125.9", "1120.9", "1115.9", "1110.9", "1105.9", "1100.9", "1095.9", "1090.9", "1085.9", "1076.0", "1066.0", "1056.1", "1046.2", "1036.3", "1026.5", "1016.7", "1007.1", "997.42", "987.85", "964.26", "941.17", "918.63", "896.68", "875.35", "854.63", "815.10", "778.06", "711.24", "653.78", "605.06", "563.94", "529.02" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "806.06", "824.91", "862.78", "900.66", "938.42", "975.99", "1013.4", "1050.5", "1087.6", "1124.4", "1161.1", "1197.8", "1234.3", "1270.8", "1307.2", "1343.6", "1379.9", "1416.2", "1452.5", "1488.8", "1525.0", "1561.2", "1597.5", "1633.7", "1669.9", "1706.1", "1742.2", "1778.4", "1814.5", "1886.8", "1959.0", "2031.0", "2103.0", "2174.9", "2246.7", "2318.4", "2389.9", "2461.3", "2532.6", "2710.4", "2887.3", "3063.4", "3238.7", "3413.4", "3587.4", "3933.8", "4278.5", "4964.4", "5646.1", "6322.5", "6993.3", "7659.1" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.03801", "0.10070", "0.22360", "0.34269", "0.45776", "0.56889", "0.67624", "0.78006", "0.88058", "0.97806", "1.0727", "1.1647", "1.2542", "1.3414", "1.4265", "1.5095", "1.5906", "1.6698", "1.7474", "1.8232", "1.8975", "1.9702", "2.0415", "2.1114", "2.1799", "2.2472", "2.3132", "2.3780", "2.4416", "2.5655", "2.6851", "2.8008", "2.9128", "3.0212", "3.1263", "3.2282", "3.3271", "3.4233", "3.5167", "3.7394", "3.9481", "4.1442", "4.3292", "4.5042", "4.6703", "4.9789", "5.2609", "5.7613", "6.1952", "6.5772", "6.9174", "7.2241" ); "specific volume" = ( "cm3/g@L3/M", "0.81757", "0.81931", "0.82277", "0.82624", "0.82970", "0.83316", "0.83663", "0.84011", "0.84361", "0.84714", "0.85069", "0.85427", "0.85789", "0.86154", "0.86523", "0.86895", "0.87272", "0.87652", "0.88036", "0.88424", "0.88816", "0.89211", "0.89611", "0.90014", "0.90421", "0.90832", "0.91247", "0.91665", "0.92087", "0.92941", "0.93809", "0.94692", "0.95587", "0.96496", "0.97418", "0.98353", "0.99300", "1.0026", "1.0123", "1.0371", "1.0625", "1.0886", "1.1152", "1.1424", "1.1701", "1.2268", "1.2853", "1.4060", "1.5296", "1.6527", "1.7732", "1.8903" ); t = ( "C@O", 25, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); }, { density = ( "kg/m3@M/L3", "1235.9", "1230.8", "1225.7", "1220.7", "1215.7", "1210.8", "1205.9", "1201.0", "1196.1", "1191.3", "1186.4", "1181.6", "1176.8", "1171.9", "1167.1", "1162.2", "1157.4", "1152.5", "1147.7", "1142.8", "1138.0", "1133.1", "1128.3", "1123.5", "1118.6", "1113.8", "1109.0", "1104.1", "1094.5", "1084.9", "1075.4", "1065.8", "1056.4", "1047.0", "1037.6", "1028.3", "1019.1", "1009.9", "987.37", "965.30", "943.77", "922.79", "902.40", "882.59", "844.75", "809.23", "744.75", "688.50", "639.92", "598.26", "562.52" ); enthalpy = ( "kJ/kg@(M*L2/T2)/M", "895.96", "933.85", "971.75", "1009.5", "1047.1", "1084.4", "1121.6", "1158.5", "1195.3", "1231.9", "1268.4", "1304.8", "1341.2", "1377.4", "1413.7", "1449.9", "1486.0", "1522.1", "1558.2", "1594.3", "1630.4", "1666.4", "1702.5", "1738.5", "1774.5", "1810.5", "1846.5", "1882.4", "1954.3", "2026.1", "2097.8", "2169.4", "2240.9", "2312.3", "2383.5", "2454.7", "2525.7", "2596.6", "2773.4", "2949.3", "3124.5", "3298.9", "3472.6", "3645.8", "3990.5", "4333.5", "5016.7", "5697.2", "6374.7", "7048.2", "7717.5" ); entropy = ( "kJ/(kg*K)@L2/(T2*O)", "0.06652", "0.18948", "0.30862", "0.42372", "0.53482", "0.64210", "0.74580", "0.84615", "0.94340", "1.0378", "1.1295", "1.2187", "1.3056", "1.3903", "1.4730", "1.5538", "1.6327", "1.7098", "1.7853", "1.8593", "1.9317", "2.0026", "2.0721", "2.1404", "2.2073", "2.2729", "2.3374", "2.4007", "2.5239", "2.6430", "2.7580", "2.8694", "2.9772", "3.0817", "3.1831", "3.2815", "3.3771", "3.4700", "3.6915", "3.8990", "4.0941", "4.2781", "4.4522", "4.6174", "4.9245", "5.2052", "5.7036", "6.1368", "6.5193", "6.8609", "7.1691" ); "specific volume" = ( "cm3/g@L3/M", "0.80913", "0.81250", "0.81586", "0.81921", "0.82256", "0.82591", "0.82927", "0.83264", "0.83602", "0.83943", "0.84286", "0.84631", "0.84979", "0.85330", "0.85684", "0.86042", "0.86402", "0.86765", "0.87132", "0.87501", "0.87874", "0.88250", "0.88629", "0.89011", "0.89396", "0.89784", "0.90175", "0.90569", "0.91366", "0.92174", "0.92993", "0.93823", "0.94663", "0.95514", "0.96375", "0.97246", "0.98126", "0.99016", "1.0128", "1.0359", "1.0596", "1.0837", "1.1082", "1.1330", "1.1838", "1.2357", "1.3427", "1.4524", "1.5627", "1.6715", "1.7777" ); t = ( "C@O", 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 550, 600, 650, 700, 750, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000 ); } ); t = ( "C@O", <*R45.806>, <*R60.058>, <*R69.095>, <*R75.857>, <*R81.317>, <*R85.926>, <*R89.932>, <*R93.486>, <*R96.687>, <*R99.606>, <*R102.292>, <*R104.784>, <*R107.109>, <*R109.292>, <*R111.349>, <*R113.297>, <*R116.911>, <*R120.21>, <*R123.25>, <*R126.072>, <*R128.708>, <*R131.185>, <*R133.522>, <*R138.857>, <*R143.608>, <*R147.903>, <*R151.831>, <*R155.456>, <*R158.826>, <*R161.98>, <*R164.946>, <*R167.749>, <*R170.406>, <*R175.35>, <*R179.878>, <*R184.062>, <*R187.957>, <*R191.605>, <*R195.039>, <*R198.287>, <*R201.37>, <*R207.112>, <*R212.377>, <*R217.249>, <*R223.95>, <*R233.853>, <*R242.557>, <*R250.354>, <*R257.437>, <*R263.941>, <*R269.965>, <*R275.585>, <*R280.858>, <*R285.829>, <*R290.535>, <*R295.008>, <*R303.345>, <*R310.997>, <*R318.079>, <*R324.675>, <*R330.854>, <*R336.666>, <*R342.155>, <*R347.355>, <*R352.293>, <*R356.992>, <*R361.473>, <*R365.749>, <*R373.705>, "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---", "---" ); }trunk/Resources/Tables/water/saturation-pressure.plist0000777000076400007640000010712712734077054023207 0ustar germangerman{ "density-l" = ( "kg/m3@M/L3", "999.79", "999.89", "999.92", "999.91", "999.86", "999.68", "999.46", "999.20", "998.93", "998.64", "998.08", "997.51", "996.96", "996.43", "995.92", "995.30", "994.70", "994.13", "993.59", "993.06", "992.55", "992.06", "991.59", "991.13", "990.69", "990.25", "989.83", "989.03", "988.26", "987.53", "986.82", "985.50", "984.28", "983.13", "981.03", "979.13", "977.40", "975.80", "974.30", "972.56", "970.94", "969.42", "967.99", "966.63", "965.34", "964.11", "962.93", "961.79", "960.70", "959.65", "958.63", "956.69", "954.86", "953.13", "951.49", "949.92", "948.41", "946.97", "945.57", "944.23", "942.94", "941.68", "940.47", "939.28", "938.13", "937.02", "935.93", "934.86", "933.83", "932.81", "931.82", "930.85", "929.90", "928.96", "928.05", "927.15", "926.27", "925.40", "924.55", "923.71", "922.89", "921.28", "919.72", "918.20", "916.73", "915.29", "913.89", "912.52", "911.18", "909.87", "908.59", "907.34", "906.11", "904.91", "903.72", "902.56", "901.42", "900.30", "899.19", "898.10", "897.04", "895.98", "894.94", "893.92", "892.91", "891.92", "890.93", "889.96", "889.01", "888.06", "887.13", "884.84", "882.62", "880.46", "878.35", "876.29", "874.28", "872.31", "870.39", "868.50", "866.65", "864.84", "863.05", "861.30", "859.58", "857.89", "856.22", "854.58", "852.96", "851.37", "849.80", "846.72", "843.72", "840.79", "837.92", "835.12", "832.37", "829.68", "827.04", "824.45", "821.90", "819.39", "816.92", "814.49", "812.10", "809.74", "807.41", "805.10", "802.83", "800.59", "798.37", "796.17", "794.00", "791.85", "789.73", "787.62", "785.53", "783.47", "781.42", "779.38", "777.37", "775.37", "773.39", "771.42", "769.46", "767.52", "765.59", "763.67", "761.77", "759.88", "758.00", "756.13", "754.27", "752.42", "750.58", "748.75", "746.93", "745.11", "743.31", "741.51", "739.72", "737.94", "736.17", "734.40", "732.64", "730.88", "729.14", "727.39", "725.66", "723.92", "722.20", "720.47", "718.76", "717.04", "715.34", "713.63", "711.93", "710.23", "708.54", "706.85", "705.16", "703.48", "701.80", "700.12", "698.44", "696.77", "695.09", "693.42", "691.76", "690.09", "688.42", "685.10", "681.77", "678.45", "675.13", "671.81", "668.49", "665.17", "661.85", "658.52", "655.18", "651.84", "648.49", "645.13", "641.75", "638.37", "634.97", "631.56", "628.13", "624.69", "621.22", "617.73", "614.22", "610.68", "607.11", "603.52", "599.89", "596.23", "592.52", "588.78", "584.99", "581.15", "577.26", "573.31", "569.29", "565.21", "561.05", "556.81", "552.49", "548.06", "543.54", "538.90", "534.13", "529.24", "524.20", "519.00", "513.64", "508.09", "502.35", "496.39", "490.19", "483.71", "476.90", "469.67", "461.91", "453.41", "443.83", "432.62", "418.75", "400.26", "369.77", "322.00" ); 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"enthalpy-l" = ( "kJ/kg@(M*L2/T2)/M", "0.00", "7.89", "15.81", "22.89", "29.30", "40.57", "50.28", "58.83", "66.49", "73.43", "85.65", "96.19", "105.49", "113.83", "121.39", "129.96", "137.75", "144.88", "151.48", "157.61", "163.35", "168.75", "173.84", "178.67", "183.25", "187.63", "191.81", "199.65", "206.91", "213.67", "219.99", "231.57", "241.96", "251.42", "268.15", "282.66", "295.52", "307.09", "317.62", "329.62", "340.54", "350.59", "359.91", "368.60", "376.75", "384.44", "391.71", "398.62", "405.20", "411.48", "417.50", "428.84", "439.36", "449.19", "458.42", "467.13", "475.38", "483.22", "490.70", "497.85", "504.70", "511.29", "517.63", "523.74", "529.64", "535.34", "540.87", "546.24", "551.44", "556.50", "561.43", "566.22", "570.90", "575.46", "579.91", "584.26", "588.52", "592.68", "596.75", "600.74", "604.65", "612.25", "619.58", "626.64", "633.47", "640.09", "646.50", "652.72", "658.77", "664.65", "670.38", "675.96", "681.41", "686.73", "691.92", "697.00", "701.97", "706.84", "711.61", "716.28", "720.86", "725.36", "729.78", "734.11", "738.37", "742.56", "746.68", "750.73", "754.72", "758.65", "762.52", "771.94", "781.03", "789.82", "798.33", "806.58", "814.60", "822.39", "829.97", "837.35", "844.56", "851.59", "858.46", "865.17", "871.74", "878.17", "884.47", "890.65", "896.71", "902.66", "908.50", "919.87", "930.87", "941.53", "951.87", "961.91", "971.67", "981.18", "990.46", "999.51", "1008.3", "1017.0", "1025.4", "1033.7", "1041.8", "1049.8", "1057.6", "1065.3", "1072.8", "1080.2", "1087.5", "1094.7", "1101.7", "1108.7", "1115.5", "1122.2", "1128.9", "1135.5", "1141.9", "1148.3", "1154.6", "1160.9", "1167.0", "1173.1", "1179.1", "1185.1", "1191.0", "1196.8", "1202.6", "1208.3", "1213.9", "1219.5", "1225.1", "1230.5", "1236.0", "1241.4", "1246.7", "1252.0", "1257.3", "1262.5", "1267.7", "1272.8", "1277.9", "1282.9", "1287.9", "1292.9", "1297.9", "1302.8", "1307.7", "1312.5", "1317.3", "1322.1", "1326.8", "1331.6", "1336.3", "1340.9", "1345.6", "1350.2", "1354.8", "1359.3", "1363.9", "1368.4", "1372.9", "1377.4", "1381.8", "1386.2", "1390.6", "1395.0", "1399.4", "1403.7", "1408.1", "1416.7", "1425.2", "1433.7", "1442.1", "1450.4", "1458.7", "1467.0", "1475.2", "1483.3", "1491.5", "1499.5", "1507.6", "1515.6", "1523.6", "1531.5", "1539.4", "1547.3", "1555.2", "1563.1", "1571.0", "1578.8", "1586.7", "1594.5", "1602.3", "1610.2", "1618.1", "1625.9", "1633.8", "1641.7", "1649.7", "1657.7", "1665.7", "1673.7", "1681.9", "1690.0", "1698.3", "1706.6", "1715.0", "1723.5", "1732.1", "1740.8", "1749.7", "1758.7", "1767.8", "1777.2", "1786.7", "1796.4", "1806.4", "1816.7", "1827.2", "1838.1", "1849.5", "1861.4", "1874.0", "1887.6", "1902.6", "1919.7", "1940.4", "1967.4", "2011.3", "2084.3" ); "enthalpy-v" = ( "kJ/kg@(M*L2/T2)/M", "2500.9", "2504.3", "2507.8", "2510.9", "2513.7", "2518.6", "2522.8", "2526.5", "2529.9", "2532.9", "2538.2", "2542.8", "2546.8", "2550.4", "2553.7", "2557.4", "2560.7", "2563.8", "2566.6", "2569.3", "2571.7", "2574.0", "2576.2", "2578.3", "2580.2", "2582.1", "2583.9", "2587.2", "2590.3", "2593.1", "2595.8", "2600.6", "2605.0", "2608.9", "2615.9", "2621.8", "2627.1", "2631.8", "2636.1", "2640.9", "2645.2", "2649.2", "2652.9", "2656.3", "2659.4", "2662.4", "2665.2", "2667.8", "2670.3", "2672.7", "2674.9", "2679.2", "2683.1", "2686.6", "2690.0", "2693.1", "2696.0", "2698.8", "2701.4", "2703.9", "2706.2", "2708.5", "2710.6", "2712.7", "2714.6", "2716.5", "2718.3", "2720.0", "2721.7", "2723.3", "2724.9", "2726.4", "2727.8", "2729.3", "2730.6", "2732.0", "2733.2", "2734.5", "2735.7", "2736.9", "2738.1", "2740.3", "2742.4", "2744.4", "2746.3", "2748.1", "2749.9", "2751.5", "2753.1", "2754.7", "2756.1", "2757.6", "2758.9", "2760.3", "2761.5", "2762.8", "2763.9", "2765.1", "2766.2", "2767.3", "2768.3", "2769.3", "2770.3", "2771.2", "2772.1", "2773.0", "2773.9", "2774.7", "2775.5", "2776.3", "2777.1", "2778.9", "2780.6", "2782.2", "2783.7", "2785.1", "2786.5", "2787.7", "2788.8", "2789.9", "2791.0", "2791.9", "2792.8", "2793.7", "2794.5", "2795.2", "2795.9", "2796.6", "2797.2", "2797.8", "2798.3", "2799.3", "2800.1", "2800.8", "2801.4", "2801.9", "2802.3", "2802.7", "2802.9", "2803.1", "2803.2", "2803.2", "2803.1", "2803.0", "2802.9", "2802.6", "2802.4", "2802.1", "2801.7", "2801.3", "2800.8", "2800.3", "2799.8", "2799.2", "2798.6", "2797.9", "2797.3", "2796.5", "2795.8", "2795.0", "2794.2", "2793.4", "2792.5", "2791.6", "2790.7", "2789.7", "2788.7", "2787.7", "2786.7", "2785.7", "2784.6", "2783.5", "2782.4", "2781.2", "2780.1", "2778.9", "2777.7", "2776.4", "2775.2", "2773.9", "2772.6", "2771.3", "2770.0", "2768.6", "2767.3", "2765.9", "2764.5", "2763.1", "2761.6", "2760.2", "2758.7", "2757.2", "2755.7", "2754.1", "2752.6", "2751.0", "2749.4", "2747.8", "2746.2", "2744.6", "2742.9", "2741.3", "2739.6", "2737.9", "2736.2", "2734.4", "2732.7", "2730.9", "2729.1", "2727.3", "2725.5", "2721.8", "2718.0", "2714.2", "2710.3", "2706.3", "2702.3", "2698.2", "2694.0", "2689.8", "2685.4", "2681.0", "2676.6", "2672.0", "2667.4", "2662.7", "2657.9", "2653.0", "2648.0", "2643.0", "2637.9", "2632.6", "2627.3", "2621.9", "2616.3", "2610.7", "2605.0", "2599.1", "2593.1", "2587.0", "2580.8", "2574.4", "2567.9", "2561.3", "2554.5", "2547.5", "2540.4", "2533.0", "2525.5", "2517.8", "2509.8", "2501.6", "2493.2", "2484.4", "2475.4", "2466.0", "2456.2", "2446.1", "2435.4", "2424.2", "2412.3", "2399.8", "2386.3", "2371.9", "2356.1", "2338.6", "2318.9", "2296.1", "2268.6", "2232.9", "2173.1", "2084.3" ); "entropy-delta" = ( "kJ/(kg*K)@L2/(T2*O)", "9.1555", "9.0770", "8.9992", "8.9305", "8.8690", "8.7623", "8.6719", "8.5935", "8.5241", "8.4620", "8.3544", "8.2631", "8.1838", "8.1138", "8.0510", "7.9806", "7.9176", "7.8605", "7.8082", "7.7601", "7.7154", "7.6738", "7.6348", "7.5982", "7.5635", "7.5308", "7.4996", "7.4417", "7.3887", "7.3398", "7.2945", "7.2126", "7.1402", "7.0752", "6.9623", "6.8664", "6.7830", "6.7092", "6.6429", "6.5686", "6.5018", "6.4412", "6.3857", "6.3345", "6.2869", "6.2425", "6.2009", "6.1617", "6.1246", "6.0895", "6.0561", "5.9938", "5.9367", "5.8840", "5.8351", "5.7893", "5.7463", "5.7059", "5.6676", "5.6313", "5.5967", "5.5638", "5.5323", "5.5021", "5.4731", "5.4452", "5.4184", "5.3925", "5.3675", "5.3433", "5.3199", "5.2972", "5.2752", "5.2538", "5.2330", "5.2128", "5.1931", "5.1739", "5.1551", "5.1369", "5.1190", "5.0846", "5.0516", "5.0199", "4.9895", "4.9603", "4.9321", "4.9049", "4.8786", "4.8531", "4.8284", "4.8045", "4.7813", "4.7587", "4.7367", "4.7153", "4.6944", "4.6741", "4.6543", "4.6349", "4.6160", "4.5975", "4.5793", "4.5616", "4.5443", "4.5272", "4.5106", "4.4942", "4.4782", "4.4624", "4.4470", "4.4095", "4.3735", "4.3390", "4.3058", "4.2737", "4.2428", "4.2129", "4.1839", "4.1559", "4.1286", "4.1022", "4.0765", "4.0514", "4.0270", "4.0032", "3.9800", "3.9573", "3.9351", "3.9135", "3.8923", "3.8511", "3.8116", "3.7736", "3.7369", "3.7015", "3.6672", "3.6340", "3.6018", "3.5705", "3.5400", "3.5104", "3.4815", "3.4533", "3.4258", "3.3989", "3.3726", "3.3469", "3.3217", "3.2970", "3.2728", "3.2491", "3.2257", "3.2028", "3.1803", "3.1582", "3.1364", "3.1150", "3.0939", "3.0731", "3.0527", "3.0325", "3.0126", "2.9930", "2.9736", "2.9545", "2.9356", "2.9170", "2.8985", "2.8803", "2.8623", "2.8445", "2.8269", "2.8095", "2.7923", "2.7752", "2.7583", "2.7416", "2.7250", "2.7086", "2.6924", "2.6762", "2.6603", "2.6444", "2.6287", "2.6131", "2.5976", "2.5823", "2.5671", "2.5519", "2.5369", "2.5220", "2.5072", "2.4925", "2.4779", "2.4634", "2.4490", "2.4347", "2.4204", "2.4062", "2.3922", "2.3782", "2.3642", "2.3504", "2.3366", "2.3229", "2.3092", "2.2957", "2.2822", "2.2687", "2.2553", "2.2287", "2.2023", "2.1761", "2.1501", "2.1242", "2.0985", "2.0730", "2.0476", "2.0224", "1.9972", "1.9722", "1.9472", "1.9223", "1.8975", "1.8728", "1.8481", "1.8234", "1.7988", "1.7742", "1.7495", "1.7249", "1.7002", "1.6756", "1.6508", "1.6260", "1.6011", "1.5762", "1.5511", "1.5259", "1.5006", "1.4750", "1.4494", "1.4235", "1.3974", "1.3710", "1.3443", "1.3174", "1.2901", "1.2624", "1.2342", "1.2056", "1.1765", "1.1468", "1.1165", "1.0855", "1.0536", "1.0208", "0.9871", "0.9521", "0.9158", "0.8780", "0.8381", "0.7959", "0.7507", "0.7015", "0.6467", "0.5839", "0.5086", "0.4109", "0.2501", "0." ); "entropy-l" = ( "kJ/(kg*K)@L2/(T2*O)", "0.00000", "0.02878", "0.05748", "0.08297", "0.10591", "0.14595", "0.18015", "0.21004", "0.23662", "0.26056", "0.30239", "0.33816", "0.36945", "0.39729", "0.42239", "0.45069", "0.47620", "0.49945", "0.52082", "0.54060", "0.55903", "0.57627", "0.59249", "0.60780", "0.62230", "0.63607", "0.64920", "0.67372", "0.69628", "0.71717", "0.73664", "0.77201", "0.80355", "0.83202", "0.88191", "0.92472", "0.96228", "0.99579", "1.0261", "1.0603", "1.0912", "1.1194", "1.1454", "1.1696", "1.1921", "1.2132", "1.2330", "1.2518", "1.2696", "1.2866", "1.3028", "1.3330", "1.3609", "1.3868", "1.4110", "1.4337", "1.4551", "1.4753", "1.4945", "1.5127", "1.5302", "1.5469", "1.5628", "1.5782", "1.5930", "1.6072", "1.6210", "1.6343", "1.6471", "1.6596", "1.6717", "1.6835", "1.6949", "1.7060", "1.7168", "1.7274", "1.7377", "1.7477", "1.7575", "1.7671", "1.7765", "1.7946", "1.8120", "1.8287", "1.8448", "1.8604", "1.8754", "1.8899", "1.9040", "1.9176", "1.9308", "1.9437", "1.9562", "1.9684", "1.9802", "1.9918", "2.0031", "2.0141", "2.0248", "2.0354", "2.0457", "2.0557", "2.0656", "2.0753", "2.0847", "2.0940", "2.1032", "2.1121", "2.1209", "2.1296", "2.1381", "2.1587", "2.1785", "2.1976", "2.2159", "2.2337", "2.2508", "2.2674", "2.2835", "2.2992", "2.3143", "2.3291", "2.3435", "2.3575", "2.3711", "2.3845", "2.3975", "2.4102", "2.4227", "2.4348", "2.4468", "2.4699", "2.4921", "2.5136", "2.5343", "2.5543", "2.5736", "2.5924", "2.6106", "2.6283", "2.6455", "2.6623", "2.6787", "2.6946", "2.7102", "2.7254", "2.7403", "2.7549", "2.7691", "2.7831", "2.7968", "2.8102", "2.8234", "2.8363", "2.8490", "2.8615", "2.8738", "2.8859", "2.8978", "2.9095", "2.9210", "2.9323", "2.9435", "2.9546", "2.9654", "2.9762", "2.9868", "2.9972", "3.0075", "3.0177", "3.0278", "3.0377", "3.0476", "3.0573", "3.0669", "3.0764", "3.0858", "3.0951", "3.1043", "3.1134", "3.1224", "3.1313", "3.1402", "3.1489", "3.1576", "3.1662", "3.1747", "3.1832", "3.1915", "3.1998", "3.2081", "3.2162", "3.2243", "3.2324", "3.2403", "3.2483", "3.2561", "3.2639", "3.2717", "3.2793", "3.2870", "3.2946", "3.3021", "3.3096", "3.3170", "3.3244", "3.3317", "3.3390", "3.3463", "3.3535", "3.3606", "3.3749", "3.3889", "3.4028", "3.4166", "3.4303", "3.4438", "3.4572", "3.4705", "3.4836", "3.4967", "3.5097", "3.5226", "3.5354", "3.5481", "3.5608", "3.5734", "3.5859", "3.5984", "3.6108", "3.6232", "3.6355", "3.6478", "3.6601", "3.6723", "3.6846", "3.6968", "3.7090", "3.7212", "3.7335", "3.7457", "3.7580", "3.7704", "3.7827", "3.7952", "3.8077", "3.8203", "3.8330", "3.8458", "3.8587", "3.8718", "3.8851", "3.8985", "3.9121", "3.9260", "3.9401", "3.9545", "3.9692", "3.9843", "3.9997", "4.0156", "4.0320", "4.0491", "4.0670", "4.0860", "4.1064", "4.1291", "4.1550", "4.1864", "4.2274", "4.2945", "4.4070" ); "entropy-v" = ( "kJ/(kg*K)@L2/(T2*O)", "9.1555", "9.1058", "9.0567", "9.0135", "8.9749", "8.9082", "8.8521", "8.8035", "8.7608", "8.7226", "8.6567", "8.6012", "8.5533", "8.5110", "8.4734", "8.4313", "8.3938", "8.3599", "8.3290", "8.3007", "8.2745", "8.2501", "8.2273", "8.2060", "8.1858", "8.1668", "8.1488", "8.1154", "8.0849", "8.0570", "8.0311", "7.9846", "7.9437", "7.9072", "7.8442", "7.7912", "7.7453", "7.7050", "7.6690", "7.6288", "7.5930", "7.5606", "7.5311", "7.5040", "7.4790", "7.4557", "7.4339", "7.4135", "7.3943", "7.3761", "7.3588", "7.3269", "7.2977", "7.2709", "7.2461", "7.2230", "7.2014", "7.1812", "7.1621", "7.1440", "7.1269", "7.1106", "7.0951", "7.0803", "7.0661", "7.0524", "7.0394", "7.0268", "7.0146", "7.0029", "6.9916", "6.9807", "6.9701", "6.9598", "6.9498", "6.9401", "6.9307", "6.9216", "6.9126", "6.9040", "6.8955", "6.8791", "6.8636", "6.8487", "6.8344", "6.8207", "6.8075", "6.7948", "6.7825", "6.7707", "6.7592", "6.7482", "6.7374", "6.7270", "6.7169", "6.7071", "6.6975", "6.6882", "6.6791", "6.6703", "6.6616", "6.6532", "6.6449", "6.6369", "6.6290", "6.6213", "6.6137", "6.6063", "6.5991", "6.5920", "6.5850", "6.5681", "6.5520", "6.5365", "6.5217", "6.5074", "6.4936", "6.4803", "6.4675", "6.4550", "6.4430", "6.4313", "6.4199", "6.4089", "6.3981", "6.3877", "6.3775", "6.3675", "6.3578", "6.3483", "6.3390", "6.3210", "6.3038", "6.2872", "6.2712", "6.2558", "6.2409", "6.2264", "6.2124", "6.1988", "6.1856", "6.1727", "6.1602", "6.1479", "6.1360", "6.1243", "6.1129", "6.1018", "6.0908", "6.0801", "6.0696", "6.0592", "6.0491", "6.0391", "6.0293", "6.0197", "6.0102", "6.0009", "5.9917", "5.9826", "5.9737", "5.9648", "5.9561", "5.9475", "5.9391", "5.9307", "5.9224", "5.9142", "5.9061", "5.8981", "5.8901", "5.8823", "5.8745", "5.8668", "5.8592", "5.8516", "5.8441", "5.8367", "5.8293", "5.8220", "5.8148", "5.8076", "5.8004", "5.7933", "5.7863", "5.7793", "5.7723", "5.7654", "5.7586", "5.7518", "5.7450", "5.7383", "5.7316", "5.7249", "5.7183", "5.7117", "5.7051", "5.6986", "5.6921", "5.6856", "5.6791", "5.6727", "5.6663", "5.6599", "5.6536", "5.6473", "5.6410", "5.6347", "5.6284", "5.6222", "5.6160", "5.6035", "5.5912", "5.5789", "5.5667", "5.5545", "5.5423", "5.5302", "5.5181", "5.5060", "5.4939", "5.4819", "5.4698", "5.4577", "5.4457", "5.4336", "5.4215", "5.4093", "5.3972", "5.3850", "5.3727", "5.3604", "5.3481", "5.3356", "5.3231", "5.3106", "5.2979", "5.2852", "5.2723", "5.2594", "5.2463", "5.2331", "5.2197", "5.2062", "5.1925", "5.1787", "5.1646", "5.1504", "5.1359", "5.1211", "5.1061", "5.0907", "5.0750", "5.0590", "5.0425", "5.0256", "5.0081", "4.9901", "4.9713", "4.9518", "4.9314", "4.9100", "4.8872", "4.8629", "4.8367", "4.8079", "4.7758", "4.7390", "4.6950", "4.6383", "4.5446", "4.4070" ); p = ( "MPa@M/(T2*L)", "0.000611657", "0.0007", "0.0008", "0.0009", "0.0010", "0.0012", "0.0014", "0.0016", "0.0018", "0.0020", "0.0024", "0.0028", "0.0032", "0.0036", "0.0040", "0.0045", "0.0050", "0.0055", "0.0060", "0.0065", "0.0070", "0.0075", "0.0080", "0.0085", "0.0090", "0.0095", "0.010", "0.011", "0.012", "0.013", "0.014", "0.016", "0.018", "0.020", "0.024", "0.028", "0.032", "0.036", "0.040", "0.045", "0.050", "0.055", "0.060", "0.065", "0.070", "0.075", "0.080", "0.085", "0.090", "0.095", "0.10", "0.11", "0.12", "0.13", "0.14", "0.15", "0.16", "0.17", "0.18", "0.19", "0.20", "0.21", "0.22", "0.23", "0.24", "0.25", "0.26", "0.27", "0.28", "0.29", "0.30", "0.31", "0.32", "0.33", "0.34", "0.35", "0.36", "0.37", "0.38", "0.39", "0.40", "0.42", "0.44", "0.46", "0.48", "0.50", "0.52", "0.54", "0.56", "0.58", "0.60", "0.62", "0.64", "0.66", "0.68", "0.70", "0.72", "0.74", "0.76", "0.78", "0.80", "0.82", "0.84", "0.86", "0.88", "0.90", "0.92", "0.94", "0.96", "0.98", "1.00", "1.05", "1.10", "1.15", "1.20", "1.25", "1.30", "1.35", "1.40", "1.45", "1.50", "1.55", "1.60", "1.65", "1.70", "1.75", "1.80", "1.85", "1.90", "1.95", "2.0", "2.1", "2.2", "2.3", "2.4", "2.5", "2.6", "2.7", "2.8", "2.9", "3.0", "3.1", "3.2", "3.3", "3.4", "3.5", "3.6", "3.7", "3.8", "3.9", "4.0", "4.1", "4.2", "4.3", "4.4", "4.5", "4.6", "4.7", "4.8", "4.9", "5.0", "5.1", "5.2", "5.3", "5.4", "5.5", "5.6", "5.7", "5.8", "5.9", "6.0", "6.1", "6.2", "6.3", "6.4", "6.5", "6.6", "6.7", "6.8", "6.9", "7.0", "7.1", "7.2", "7.3", "7.4", "7.5", "7.6", "7.7", "7.8", "7.9", "8.0", "8.1", "8.2", "8.3", "8.4", "8.5", "8.6", "8.7", "8.8", "8.9", "9.0", "9.1", "9.2", "9.3", "9.4", "9.5", "9.6", "9.7", "9.8", "9.9", "10.0", "10.2", "10.4", "10.6", "10.8", "11.0", "11.2", "11.4", "11.6", "11.8", "12.0", "12.2", "12.4", "12.6", "12.8", "13.0", "13.2", "13.4", "13.6", "13.8", "14.0", "14.2", "14.4", "14.6", "14.8", "15.0", "15.2", "15.4", "15.6", "15.8", "16.0", "16.2", "16.4", "16.6", "16.8", "17.0", "17.2", "17.4", "17.6", "17.8", "18.0", "18.2", "18.4", "18.6", "18.8", "19.0", "19.2", "19.4", "19.6", "19.8", "20.0", "20.2", "20.4", "20.6", "20.8", "21.0", "21.2", "21.4", "21.6", "21.8", "22.0", "22.064" ); t = ( "C@O", "0.01", "1.881", "3.761", "5.444", "6.970", "9.654", "11.969", "14.010", "15.837", "17.495", "20.414", "22.935", "25.158", "27.152", "28.960", "31.012", "32.874", "34.581", "36.159", "37.627", "39.000", "40.290", "41.509", "42.663", "43.761", "44.807", "45.806", "47.683", "49.419", "51.034", "52.547", "55.313", "57.798", "60.058", "64.053", "67.518", "70.586", "73.345", "75.857", "78.715", "81.317", "83.709", "85.926", "87.993", "89.932", "91.758", "93.486", "95.125", "96.687", "98.178", "99.606", "102.292", "104.784", "107.109", "109.292", "111.349", "113.297", "115.148", "116.911", "118.596", "120.210", "121.759", "123.250", "124.686", "126.072", "127.411", "128.708", "129.965", "131.185", "132.370", "133.522", "134.644", "135.737", "136.802", "137.842", "138.857", "139.849", "140.819", "141.769", "142.698", "143.608", "145.375", "147.076", "148.716", "150.300", "151.831", "153.314", "154.753", "156.149", "157.506", "158.826", "160.112", "161.365", "162.587", "163.781", "164.946", "166.086", "167.200", "168.291", "169.360", "170.406", "171.433", "172.440", "173.428", "174.398", "175.350", "176.287", "177.207", "178.112", "179.002", "179.878", "182.009", "184.062", "186.043", "187.957", "189.809", "191.605", "193.347", "195.039", "196.685", "198.287", "199.848", "201.370", "202.856", "204.307", "205.725", "207.112", "208.469", "209.798", "211.101", "212.377", "214.858", "217.249", "219.557", "221.789", "223.950", "226.046", "228.080", "230.057", "231.980", "233.853", "235.679", "237.459", "239.198", "240.897", "242.557", "244.182", "245.772", "247.330", "248.857", "250.354", "251.823", "253.264", "254.680", "256.070", "257.437", "258.780", "260.101", "261.402", "262.681", "263.941", "265.181", "266.403", "267.608", "268.795", "269.965", "271.120", "272.258", "273.382", "274.490", "275.585", "276.666", "277.733", "278.787", "279.829", "280.858", "281.875", "282.880", "283.874", "284.857", "285.829", "286.790", "287.741", "288.682", "289.614", "290.535", "291.448", "292.351", "293.245", "294.131", "295.008", "295.876", "296.737", "297.589", "298.434", "299.271", "300.100", "300.922", "301.737", "302.544", "303.345", "304.139", "304.926", "305.707", "306.481", "307.249", "308.010", "308.766", "309.516", "310.259", "310.997", "312.456", "313.893", "315.308", "316.703", "318.079", "319.434", "320.771", "322.090", "323.391", "324.675", "325.942", "327.194", "328.429", "329.649", "330.854", "332.044", "333.220", "334.382", "335.531", "336.666", "337.789", "338.899", "339.996", "341.082", "342.155", "343.217", "344.268", "345.308", "346.337", "347.355", "348.362", "349.360", "350.347", "351.325", "352.293", "353.251", "354.200", "355.140", "356.071", "356.992", "357.906", "358.810", "359.706", "360.594", "361.473", "362.344", "363.208", "364.063", "364.910", "365.749", "366.581", "367.404", "368.220", "369.027", "369.827", "370.619", "371.402", "372.178", "372.946", "373.705", "373.946" ); 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"enthalpy-delta" = ( "kJ/kg@(M*L2/T2)/M", "2500.9", "2498.6", "2496.2", "2493.8", "2491.4", "2489.0", "2486.7", "2484.3", "2481.9", "2479.6", "2477.2", "2474.8", "2472.5", "2470.1", "2467.7", "2465.4", "2463.0", "2460.6", "2458.3", "2455.9", "2453.5", "2451.2", "2448.8", "2446.4", "2444.0", "2441.7", "2439.3", "2436.9", "2434.6", "2432.2", "2429.8", "2427.4", "2425.1", "2422.7", "2420.3", "2417.9", "2415.5", "2413.1", "2410.8", "2408.4", "2406.0", "2403.6", "2401.2", "2398.8", "2396.4", "2394.0", "2391.6", "2389.2", "2386.8", "2384.4", "2381.9", "2379.5", "2377.1", "2374.7", "2372.3", "2369.8", "2367.4", "2365.0", "2362.5", "2360.1", "2357.7", "2355.2", "2352.8", "2350.3", "2347.8", "2345.4", "2342.9", "2340.5", "2338.0", "2335.5", "2333.0", "2330.5", "2328.1", "2325.6", "2323.1", "2320.6", "2318.1", "2315.6", "2313.0", "2310.5", "2308.0", "2305.5", "2302.9", "2300.4", "2297.9", "2295.3", "2292.8", "2290.2", "2287.6", "2285.1", "2282.5", "2279.9", "2277.3", "2274.7", "2272.1", "2269.5", "2266.9", "2264.3", "2261.7", "2259.0", "2256.4", "2253.8", "2251.1", "2248.5", "2245.8", "2243.1", "2240.4", "2237.7", "2235.1", "2232.4", "2229.6", "2226.9", "2224.2", "2221.5", "2218.7", "2216.0", "2213.2", "2210.5", "2207.7", "2204.9", "2202.1", "2199.3", "2196.5", "2193.7", "2190.9", "2188.0", "2185.2", "2182.3", "2179.5", "2176.6", "2173.7", "2170.8", "2167.9", "2165.0", "2162.1", "2159.1", "2156.2", "2153.2", "2150.3", "2147.3", "2144.3", "2141.3", "2138.3", "2135.2", "2132.2", "2129.2", "2126.1", "2123.0", "2119.9", "2116.9", "2113.7", "2110.6", "2107.5", "2104.3", "2101.2", "2098.0", "2094.8", "2091.6", "2088.4", "2085.2", "2082.0", "2078.7", "2075.5", "2072.2", "2068.9", "2065.6", "2062.3", "2058.9", "2055.6", "2052.2", "2048.8", "2045.4", "2042.0", "2038.6", "2035.1", "2031.7", "2028.2", "2024.7", "2021.2", "2017.7", "2014.2", "2010.6", "2007.0", "2003.4", "1999.8", "1996.2", "1992.6", "1988.9", "1985.3", "1981.6", "1977.9", "1974.1", "1970.4", "1966.6", "1962.8", "1959.0", "1955.2", "1951.4", "1947.5", "1943.6", "1939.7", "1935.8", "1931.9", "1927.9", "1923.9", "1919.9", "1915.9", "1911.9", "1907.8", "1903.7", "1899.6", "1895.5", "1891.4", "1887.2", "1883.0", "1878.8", "1874.6", "1870.3", "1866.0", "1861.7", "1857.4", "1853.0", "1848.6", "1844.2", "1839.8", "1835.4", "1830.9", "1826.4", "1821.8", "1817.3", "1812.7", "1808.1", "1803.5", "1798.8", "1794.1", "1789.4", "1784.7", "1779.9", "1775.1", "1770.3", "1765.4", "1760.5", "1755.6", "1750.7", "1745.7", "1740.7", "1735.6", "1730.6", "1725.5", "1720.3", "1715.2", "1710.0", "1704.7", "1699.5", "1694.2", "1688.8", "1683.5", "1678.1", "1672.6", "1667.2", "1661.6", "1656.1", "1650.5", "1644.9", "1639.2", "1633.5", "1627.8", "1622.0", "1616.2", "1610.3", "1604.4", "1598.5", "1592.5", "1586.5", "1580.4", "1574.3", "1568.1", "1561.9", "1555.6", "1549.3", "1543.0", "1536.6", "1530.1", "1523.6", "1517.1", "1510.5", "1503.8", "1497.1", "1490.4", "1483.5", "1476.7", "1469.7", "1462.7", "1455.7", "1448.6", "1441.4", "1434.2", "1426.9", "1419.5", "1412.1", "1404.6", "1397.1", "1389.4", "1381.7", "1374.0", "1366.1", "1358.2", "1350.2", "1342.1", "1334.0", "1325.7", "1317.4", "1309.0", "1300.5", "1291.9", "1283.2", "1274.5", "1265.6", "1256.6", "1247.5", "1238.4", "1229.1", "1219.7", "1210.2", "1200.6", "1190.8", "1180.9", "1170.9", "1160.8", "1150.6", "1140.2", "1129.6", "1118.9", "1108.1", "1097.1", "1085.9", "1074.6", "1063.0", "1051.3", "1039.4", "1027.3", "1015.0", "1002.5", "989.7", "976.7", "963.4", "949.9", "936.1", "922.0", "907.5", "892.7", "877.6", "862.1", "846.2", "829.8", "812.9", "795.5", "777.6", "759.0", "739.8", "719.8", "699.0", "677.3", "654.5", "630.5", "605.2", "578.2", "549.2", "517.8", "483.1", "443.8", "397.7", "340.3", "260.1", "0." ); "enthalpy-l" = ( "kJ/kg@(M*L2/T2)/M", "0.00", "4.18", "8.39", "12.60", "16.81", "21.02", "25.22", "29.43", "33.63", "37.82", "42.02", "46.22", "50.41", "54.60", "58.79", "62.98", "67.17", "71.36", "75.54", "79.73", "83.91", "88.10", "92.28", "96.46", "100.65", "104.83", "109.01", "113.19", "117.37", "121.55", "125.73", "129.91", "134.09", "138.27", "142.45", "146.63", "150.81", "154.99", "159.17", "163.35", "167.53", "171.71", "175.89", "180.07", "184.25", "188.43", "192.62", "196.80", "200.98", "205.16", "209.34", "213.52", "217.71", "221.89", "226.07", "230.26", "234.44", "238.62", "242.81", "246.99", "251.18", "255.37", "259.55", "263.74", "267.93", "272.12", "276.30", "280.49", "284.68", "288.87", "293.07", "297.26", "301.45", "305.64", "309.84", "314.03", "318.22", "322.42", "326.62", "330.81", "335.01", "339.21", "343.41", "347.61", "351.81", "356.01", "360.22", "364.42", "368.63", "372.83", "377.04", "381.25", "385.46", "389.67", "393.88", "398.09", "402.30", "406.52", "410.73", "414.95", "419.17", "423.39", "427.61", "431.83", "436.05", "440.27", "444.50", "448.73", "452.95", "457.18", "461.42", "465.65", "469.88", "474.12", "478.35", "482.59", "486.83", "491.08", "495.32", "499.56", "503.81", "508.06", "512.31", "516.56", "520.82", "525.07", "529.33", "533.59", "537.85", "542.12", "546.38", "550.65", "554.92", "559.19", "563.47", "567.74", "572.02", "576.30", "580.59", "584.87", "589.16", "593.45", "597.74", "602.04", "606.34", "610.64", "614.94", "619.25", "623.56", "627.87", "632.18", "636.50", "640.81", "645.14", "649.46", "653.79", "658.12", "662.45", "666.79", "671.13", "675.47", "679.82", "684.17", "688.52", "692.88", "697.24", "701.60", "705.96", "710.33", "714.71", "719.08", "723.46", "727.85", "732.23", "736.63", "741.02", "745.42", "749.82", "754.23", "758.64", "763.05", "767.47", "771.90", "776.32", "780.75", "785.19", "789.63", "794.07", "798.52", "802.97", "807.43", "811.89", "816.36", "820.83", "825.31", "829.79", "834.28", "838.77", "843.26", "847.76", "852.27", "856.78", "861.30", "865.82", "870.35", "874.88", "879.42", "883.96", "888.51", "893.07", "897.63", "902.20", "906.77", "911.35", "915.94", "920.53", "925.12", "929.73", "934.34", "938.96", "943.58", "948.21", "952.85", "957.49", "962.14", "966.80", "971.46", "976.13", "980.81", "985.50", "990.19", "994.89", "999.60", "1004.3", "1009.0", "1013.8", "1018.5", "1023.3", "1028.0", "1032.8", "1037.6", "1042.3", "1047.1", "1051.9", "1056.7", "1061.5", "1066.4", "1071.2", "1076.1", "1080.9", "1085.8", "1090.6", "1095.5", "1100.4", "1105.3", "1110.2", "1115.2", "1120.1", "1125.0", "1130.0", "1135.0", "1139.9", "1144.9", "1149.9", "1154.9", "1160.0", "1165.0", "1170.0", "1175.1", "1180.2", "1185.3", "1190.4", "1195.5", "1200.6", "1205.7", "1210.9", "1216.1", "1221.3", "1226.4", "1231.7", "1236.9", "1242.1", "1247.4", "1252.7", "1257.9", "1263.2", "1268.6", "1273.9", "1279.3", "1284.6", "1290.0", "1295.4", "1300.9", "1306.3", "1311.8", "1317.3", "1322.8", "1328.3", "1333.8", "1339.4", "1345.0", "1350.6", "1356.3", "1361.9", "1367.6", "1373.3", "1379.0", "1384.8", "1390.6", "1396.4", "1402.2", "1408.1", "1414.0", "1419.9", "1425.8", "1431.8", "1437.8", "1443.9", "1450.0", "1456.1", "1462.2", "1468.4", "1474.6", "1480.9", "1487.2", "1493.5", "1499.9", "1506.3", "1512.8", "1519.3", "1525.9", "1532.5", "1539.1", "1545.9", "1552.6", "1559.5", "1566.3", "1573.3", "1580.3", "1587.4", "1594.5", "1601.8", "1609.1", "1616.4", "1623.9", "1631.5", "1639.1", "1646.9", "1654.8", "1662.8", "1670.9", "1679.1", "1687.5", "1696.1", "1704.8", "1713.7", "1722.8", "1732.2", "1741.7", "1751.5", "1761.7", "1772.1", "1782.9", "1794.1", "1805.7", "1817.8", "1830.5", "1843.8", "1858.1", "1873.5", "1890.7", "1910.6", "1935.3", "1969.7", "2084.3" ); "enthalpy-v" = ( "kJ/kg@(M*L2/T2)/M", "2500.9", "2502.7", "2504.6", "2506.4", "2508.2", "2510.1", "2511.9", "2513.7", "2515.6", "2517.4", "2519.2", "2521.0", "2522.9", "2524.7", "2526.5", "2528.3", "2530.2", "2532.0", "2533.8", "2535.6", "2537.4", "2539.3", "2541.1", "2542.9", "2544.7", "2546.5", "2548.3", "2550.1", "2551.9", "2553.7", "2555.5", "2557.3", "2559.2", "2561.0", "2562.8", "2564.5", "2566.3", "2568.1", "2569.9", "2571.7", "2573.5", "2575.3", "2577.1", "2578.9", "2580.6", "2582.4", "2584.2", "2586.0", "2587.8", "2589.5", "2591.3", "2593.1", "2594.8", "2596.6", "2598.3", "2600.1", "2601.8", "2603.6", "2605.3", "2607.1", "2608.8", "2610.6", "2612.3", "2614.0", "2615.8", "2617.5", "2619.2", "2621.0", "2622.7", "2624.4", "2626.1", "2627.8", "2629.5", "2631.2", "2632.9", "2634.6", "2636.3", "2638.0", "2639.7", "2641.3", "2643.0", "2644.7", "2646.4", "2648.0", "2649.7", "2651.3", "2653.0", "2654.6", "2656.3", "2657.9", "2659.5", "2661.2", "2662.8", "2664.4", "2666.0", "2667.6", "2669.2", "2670.8", "2672.4", "2674.0", "2675.6", "2677.1", "2678.7", "2680.3", "2681.8", "2683.4", "2684.9", "2686.5", "2688.0", "2689.5", "2691.1", "2692.6", "2694.1", "2695.6", "2697.1", "2698.6", "2700.1", "2701.5", "2703.0", "2704.5", "2705.9", "2707.4", "2708.8", "2710.3", "2711.7", "2713.1", "2714.5", "2715.9", "2717.3", "2718.7", "2720.1", "2721.5", "2722.8", "2724.2", "2725.5", "2726.9", "2728.2", "2729.5", "2730.8", "2732.1", "2733.4", "2734.7", "2736.0", "2737.3", "2738.5", "2739.8", "2741.0", "2742.3", "2743.5", "2744.7", "2745.9", "2747.1", "2748.3", "2749.5", "2750.7", "2751.8", "2753.0", "2754.1", "2755.2", "2756.3", "2757.4", "2758.5", "2759.6", "2760.7", "2761.8", "2762.8", "2763.9", "2764.9", "2765.9", "2766.9", "2767.9", "2768.9", "2769.9", "2770.8", "2771.8", "2772.7", "2773.6", "2774.5", "2775.4", "2776.3", "2777.2", "2778.1", "2778.9", "2779.8", "2780.6", "2781.4", "2782.2", "2783.0", "2783.8", "2784.5", "2785.3", "2786.0", "2786.7", "2787.4", "2788.1", "2788.8", "2789.5", "2790.1", "2790.8", "2791.4", "2792.0", "2792.6", "2793.2", "2793.7", "2794.3", "2794.8", "2795.3", "2795.9", "2796.3", "2796.8", "2797.3", "2797.7", "2798.1", "2798.5", "2798.9", "2799.3", "2799.7", "2800.0", "2800.3", "2800.7", "2800.9", "2801.2", "2801.5", "2801.7", "2801.9", "2802.1", "2802.3", "2802.5", "2802.7", "2802.8", "2802.9", "2803.0", "2803.1", "2803.1", "2803.2", "2803.2", "2803.2", "2803.1", "2803.1", "2803.0", "2803.0", "2802.9", "2802.7", "2802.6", "2802.4", "2802.2", "2802.0", "2801.8", "2801.5", "2801.2", "2800.9", "2800.6", "2800.3", "2799.9", "2799.5", "2799.1", "2798.6", "2798.2", "2797.7", "2797.1", "2796.6", "2796.0", "2795.4", "2794.8", "2794.2", "2793.5", "2792.8", "2792.1", "2791.3", "2790.5", "2789.7", "2788.8", "2788.0", "2787.1", "2786.1", "2785.2", "2784.2", "2783.1", "2782.1", "2781.0", "2779.9", "2778.7", "2777.5", "2776.3", "2775.0", "2773.7", "2772.4", "2771.0", "2769.6", "2768.2", "2766.7", "2765.2", "2763.6", "2762.0", "2760.4", "2758.7", "2757.0", "2755.2", "2753.4", "2751.5", "2749.6", "2747.7", "2745.7", "2743.7", "2741.6", "2739.4", "2737.2", "2735.0", "2732.7", "2730.4", "2727.9", "2725.5", "2723.0", "2720.4", "2717.8", "2715.1", "2712.3", "2709.5", "2706.6", "2703.6", "2700.6", "2697.5", "2694.3", "2691.1", "2687.7", "2684.3", "2680.8", "2677.3", "2673.6", "2669.9", "2666.0", "2662.1", "2658.1", "2653.9", "2649.7", "2645.4", "2640.9", "2636.3", "2631.6", "2626.8", "2621.8", "2616.8", "2611.5", "2606.1", "2600.6", "2594.9", "2589.0", "2583.0", "2576.7", "2570.3", "2563.6", "2556.8", "2549.6", "2542.3", "2534.6", "2526.6", "2518.4", "2509.8", "2500.8", "2491.4", "2481.5", "2471.1", "2460.2", "2448.6", "2436.2", "2422.9", "2408.7", "2393.1", "2375.9", "2356.6", "2334.5", "2308.3", "2275.5", "2229.8", "2084.3" ); "entropy-delta" = ( "kJ/(kg*K)@L2/(T2*O)", "9.1555", "9.1138", "9.0720", "9.0306", "8.9894", "8.9486", "8.9080", "8.8677", "8.8278", "8.7881", "8.7487", "8.7096", "8.6707", "8.6321", "8.5938", "8.5558", "8.5180", "8.4805", "8.4433", "8.4063", "8.3695", "8.3330", "8.2967", "8.2607", "8.2250", "8.1894", "8.1541", "8.1191", "8.0842", "8.0496", "8.0152", "7.9810", "7.9471", "7.9134", "7.8799", "7.8466", "7.8135", "7.7806", "7.7479", "7.7154", "7.6831", "7.6511", "7.6192", "7.5875", "7.5560", "7.5247", "7.4936", "7.4627", "7.4320", "7.4014", "7.3710", "7.3408", "7.3108", "7.2810", "7.2513", "7.2218", "7.1925", "7.1633", "7.1343", "7.1055", "7.0769", "7.0484", "7.0200", "6.9918", "6.9638", "6.9359", "6.9082", "6.8807", "6.8532", "6.8260", "6.7989", "6.7719", "6.7451", "6.7184", "6.6918", "6.6654", "6.6392", "6.6130", "6.5871", "6.5612", "6.5355", "6.5099", "6.4844", "6.4591", "6.4339", "6.4088", "6.3838", "6.3590", "6.3343", "6.3097", "6.2853", "6.2609", "6.2367", "6.2126", "6.1886", "6.1647", "6.1409", "6.1172", "6.0937", "6.0702", "6.0469", "6.0237", "6.0006", "5.9775", "5.9546", "5.9318", "5.9091", "5.8865", "5.8640", "5.8416", "5.8193", "5.7970", "5.7749", "5.7529", "5.7309", "5.7091", "5.6873", "5.6657", "5.6441", "5.6226", "5.6012", "5.5799", "5.5587", "5.5375", "5.5165", "5.4955", "5.4746", "5.4538", "5.4330", "5.4124", "5.3918", "5.3713", "5.3509", "5.3305", "5.3102", "5.2900", "5.2699", "5.2498", "5.2298", "5.2099", "5.1901", "5.1703", "5.1506", "5.1309", "5.1114", "5.0919", "5.0724", "5.0530", "5.0337", "5.0145", "4.9953", "4.9761", "4.9571", "4.9380", "4.9191", "4.9002", "4.8814", "4.8626", "4.8439", "4.8252", "4.8066", "4.7880", "4.7695", "4.7511", "4.7327", "4.7143", "4.6960", "4.6778", "4.6596", "4.6414", "4.6233", "4.6053", "4.5872", "4.5693", "4.5514", "4.5335", "4.5157", "4.4979", "4.4802", "4.4625", "4.4448", "4.4272", "4.4096", "4.3921", "4.3746", "4.3571", "4.3397", "4.3223", "4.3050", "4.2877", "4.2704", "4.2532", "4.2360", "4.2188", "4.2017", "4.1846", "4.1676", "4.1505", "4.1335", "4.1166", "4.0996", "4.0827", "4.0658", "4.0490", "4.0322", "4.0154", "3.9986", "3.9819", "3.9651", "3.9484", "3.9318", "3.9151", "3.8985", "3.8819", "3.8653", "3.8488", "3.8323", "3.8158", "3.7993", "3.7828", "3.7663", "3.7499", "3.7335", "3.7171", "3.7007", "3.6843", "3.6680", "3.6516", "3.6353", "3.6190", "3.6027", "3.5864", "3.5702", "3.5539", "3.5376", "3.5214", "3.5052", "3.4890", "3.4727", "3.4565", "3.4403", "3.4241", "3.4079", "3.3918", "3.3756", "3.3594", "3.3432", "3.3270", "3.3109", "3.2947", "3.2785", "3.2624", "3.2462", "3.2300", "3.2138", "3.1977", "3.1815", "3.1653", "3.1491", "3.1329", "3.1167", "3.1004", "3.0842", "3.0680", "3.0517", "3.0354", "3.0192", "3.0029", "2.9866", "2.9703", "2.9539", "2.9376", "2.9212", "2.9048", "2.8884", "2.8720", "2.8555", "2.8390", "2.8225", "2.8060", "2.7894", "2.7729", "2.7563", "2.7396", "2.7229", "2.7062", "2.6895", "2.6727", "2.6559", "2.6390", "2.6222", "2.6052", "2.5883", "2.5712", "2.5542", "2.5371", "2.5199", "2.5027", "2.4854", "2.4681", "2.4507", "2.4333", "2.4158", "2.3982", "2.3806", "2.3629", "2.3452", "2.3273", "2.3094", "2.2915", "2.2734", "2.2553", "2.2370", "2.2187", "2.2003", "2.1818", "2.1632", "2.1445", "2.1257", "2.1068", "2.0878", "2.0686", "2.0494", "2.0300", "2.0105", "1.9908", "1.9710", "1.9511", "1.9310", "1.9108", "1.8903", "1.8698", "1.8490", "1.8281", "1.8069", "1.7856", "1.7640", "1.7422", "1.7202", "1.6980", "1.6755", "1.6527", "1.6296", "1.6063", "1.5826", "1.5586", "1.5342", "1.5094", "1.4843", "1.4587", "1.4326", "1.4061", "1.3790", "1.3514", "1.3231", "1.2942", "1.2645", "1.2340", "1.2026", "1.1703", "1.1369", "1.1023", "1.0663", "1.0288", "0.9896", "0.9483", "0.9046", "0.8580", "0.8076", "0.7523", "0.6901", "0.6175", "0.5274", "0.4026", "0." ); "entropy-l" = ( "kJ/(kg*K)@L2/(T2*O)", "0.00000", "0.01526", "0.03061", "0.04589", "0.06110", "0.07625", "0.09134", "0.10637", "0.12133", "0.13624", "0.15109", "0.16587", "0.18061", "0.19528", "0.20990", "0.22446", "0.23897", "0.25343", "0.26783", "0.28218", "0.29648", "0.31073", "0.32493", "0.33908", "0.35318", "0.36722", "0.38123", "0.39518", "0.40908", "0.42294", "0.43675", "0.45052", "0.46424", "0.47792", "0.49155", "0.50513", "0.51867", "0.53217", "0.54562", "0.55903", "0.57240", "0.58573", "0.59901", "0.61225", "0.62545", "0.63861", "0.65173", "0.66481", "0.67785", "0.69085", "0.70381", "0.71673", "0.72961", "0.74245", "0.75526", "0.76802", "0.78075", "0.79344", "0.80610", "0.81871", "0.83129", "0.84384", "0.85634", "0.86882", "0.88125", "0.89365", "0.90602", "0.91835", "0.93064", "0.94291", "0.95513", "0.96733", "0.97949", "0.99161", "1.0037", "1.0158", "1.0278", "1.0398", "1.0517", "1.0637", "1.0756", "1.0874", "1.0993", "1.1111", "1.1229", "1.1346", "1.1463", "1.1580", "1.1696", "1.1813", "1.1929", "1.2044", "1.2160", "1.2275", "1.2389", "1.2504", "1.2618", "1.2732", "1.2846", "1.2959", "1.3072", "1.3185", "1.3297", "1.3410", "1.3522", "1.3633", "1.3745", "1.3856", "1.3967", "1.4078", "1.4188", "1.4298", "1.4408", "1.4518", "1.4628", "1.4737", "1.4846", "1.4954", "1.5063", "1.5171", "1.5279", "1.5387", "1.5494", "1.5602", "1.5709", "1.5816", "1.5922", "1.6029", "1.6135", "1.6241", "1.6346", "1.6452", "1.6557", "1.6662", "1.6767", "1.6872", "1.6976", "1.7081", "1.7185", "1.7289", "1.7392", "1.7496", "1.7599", "1.7702", "1.7805", "1.7907", "1.8010", "1.8112", "1.8214", "1.8316", "1.8418", "1.8520", "1.8621", "1.8722", "1.8823", "1.8924", "1.9025", "1.9125", "1.9225", "1.9326", "1.9426", "1.9525", "1.9625", "1.9725", "1.9824", "1.9923", "2.0022", "2.0121", "2.0220", "2.0318", "2.0417", "2.0515", "2.0613", "2.0711", "2.0809", "2.0906", "2.1004", "2.1101", "2.1198", "2.1296", "2.1392", "2.1489", "2.1586", "2.1683", "2.1779", "2.1875", "2.1971", "2.2067", "2.2163", "2.2259", "2.2355", "2.2450", "2.2546", "2.2641", "2.2736", "2.2832", "2.2926", "2.3021", "2.3116", "2.3211", "2.3305", "2.3400", "2.3494", "2.3588", "2.3683", "2.3777", "2.3871", "2.3964", "2.4058", "2.4152", "2.4245", "2.4339", "2.4432", "2.4526", "2.4619", "2.4712", "2.4805", "2.4898", "2.4991", "2.5084", "2.5177", "2.5269", "2.5362", "2.5455", "2.5547", "2.5640", "2.5732", "2.5824", "2.5917", "2.6009", "2.6101", "2.6193", "2.6285", "2.6377", "2.6469", "2.6561", "2.6653", "2.6745", "2.6836", "2.6928", "2.7020", "2.7111", "2.7203", "2.7295", "2.7386", "2.7478", "2.7569", "2.7661", "2.7752", "2.7844", "2.7935", "2.8027", "2.8118", "2.8210", "2.8301", "2.8392", "2.8484", "2.8575", "2.8667", "2.8758", "2.8849", "2.8941", "2.9032", "2.9124", "2.9215", "2.9307", "2.9398", "2.9490", "2.9582", "2.9673", "2.9765", "2.9857", "2.9948", "3.0040", "3.0132", "3.0224", "3.0316", "3.0408", "3.0500", "3.0592", "3.0685", "3.0777", "3.0869", "3.0962", "3.1054", "3.1147", "3.1240", "3.1333", "3.1426", "3.1519", "3.1612", "3.1705", "3.1799", "3.1892", "3.1986", "3.2080", "3.2174", "3.2268", "3.2362", "3.2457", "3.2552", "3.2647", "3.2742", "3.2837", "3.2932", "3.3028", "3.3124", "3.3220", "3.3316", "3.3413", "3.3510", "3.3607", "3.3704", "3.3802", "3.3900", "3.3998", "3.4097", "3.4195", "3.4295", "3.4394", "3.4494", "3.4595", "3.4695", "3.4797", "3.4898", "3.5000", "3.5103", "3.5206", "3.5309", "3.5413", "3.5518", "3.5623", "3.5729", "3.5835", "3.5943", "3.6050", "3.6159", "3.6268", "3.6378", "3.6489", "3.6601", "3.6714", "3.6828", "3.6943", "3.7059", "3.7176", "3.7295", "3.7414", "3.7536", "3.7659", "3.7784", "3.7910", "3.8039", "3.8170", "3.8303", "3.8439", "3.8577", "3.8719", "3.8864", "3.9014", "3.9167", "3.9325", "3.9488", "3.9656", "3.9831", "4.0014", "4.0205", "4.0406", "4.0621", "4.0853", "4.1112", "4.1412", "4.1785", "4.2308", "4.4070" ); "entropy-v" = ( "kJ/(kg*K)@L2/(T2*O)", "9.1555", "9.1291", "9.1027", "9.0765", "9.0505", "9.0248", "8.9993", "8.9741", "8.9491", "8.9243", "8.8998", "8.8754", "8.8513", "8.8274", "8.8037", "8.7803", "8.7570", "8.7339", "8.7111", "8.6884", "8.6660", "8.6437", "8.6217", "8.5998", "8.5781", "8.5566", "8.5353", "8.5142", "8.4933", "8.4725", "8.4520", "8.4316", "8.4113", "8.3913", "8.3714", "8.3517", "8.3321", "8.3127", "8.2935", "8.2745", "8.2555", "8.2368", "8.2182", "8.1998", "8.1815", "8.1633", "8.1453", "8.1275", "8.1098", "8.0922", "8.0748", "8.0576", "8.0404", "8.0234", "8.0066", "7.9898", "7.9732", "7.9568", "7.9404", "7.9242", "7.9081", "7.8922", "7.8764", "7.8607", "7.8451", "7.8296", "7.8142", "7.7990", "7.7839", "7.7689", "7.7540", "7.7392", "7.7246", "7.7100", "7.6955", "7.6812", "7.6670", "7.6528", "7.6388", "7.6249", "7.6111", "7.5973", "7.5837", "7.5702", "7.5567", "7.5434", "7.5302", "7.5170", "7.5040", "7.4910", "7.4781", "7.4653", "7.4526", "7.4400", "7.4275", "7.4151", "7.4027", "7.3904", "7.3783", "7.3661", "7.3541", "7.3422", "7.3303", "7.3185", "7.3068", "7.2952", "7.2836", "7.2721", "7.2607", "7.2493", "7.2381", "7.2269", "7.2157", "7.2047", "7.1937", "7.1828", "7.1719", "7.1611", "7.1504", "7.1397", "7.1291", "7.1186", "7.1081", "7.0977", "7.0873", "7.0770", "7.0668", "7.0566", "7.0465", "7.0364", "7.0264", "7.0165", "7.0066", "6.9967", "6.9869", "6.9772", "6.9675", "6.9579", "6.9483", "6.9388", "6.9293", "6.9199", "6.9105", "6.9011", "6.8919", "6.8826", "6.8734", "6.8643", "6.8552", "6.8461", "6.8371", "6.8281", "6.8192", "6.8103", "6.8014", "6.7926", "6.7838", "6.7751", "6.7664", "6.7578", "6.7491", "6.7406", "6.7320", "6.7235", "6.7150", "6.7066", "6.6982", "6.6898", "6.6815", "6.6732", "6.6650", "6.6567", "6.6485", "6.6404", "6.6322", "6.6241", "6.6161", "6.6080", "6.6000", "6.5920", "6.5840", "6.5761", "6.5682", "6.5603", "6.5525", "6.5447", "6.5369", "6.5291", "6.5213", "6.5136", "6.5059", "6.4982", "6.4906", "6.4830", "6.4754", "6.4678", "6.4602", "6.4527", "6.4451", "6.4376", "6.4302", "6.4227", "6.4152", "6.4078", "6.4004", "6.3930", "6.3856", "6.3783", "6.3710", "6.3636", "6.3563", "6.3490", "6.3417", "6.3345", "6.3272", "6.3200", "6.3128", "6.3056", "6.2984", "6.2912", "6.2840", "6.2768", "6.2697", "6.2625", "6.2554", "6.2483", "6.2412", "6.2341", "6.2270", "6.2199", "6.2128", "6.2057", "6.1987", "6.1916", "6.1845", "6.1775", "6.1704", "6.1634", "6.1564", "6.1493", "6.1423", "6.1353", "6.1282", "6.1212", "6.1142", "6.1072", "6.1002", "6.0931", "6.0861", "6.0791", "6.0721", "6.0650", "6.0580", "6.0510", "6.0439", "6.0369", "6.0298", "6.0228", "6.0157", "6.0087", "6.0016", "5.9945", "5.9874", "5.9804", "5.9732", "5.9661", "5.9590", "5.9519", "5.9447", "5.9376", "5.9304", "5.9232", "5.9160", "5.9088", "5.9016", "5.8944", "5.8871", "5.8798", "5.8725", "5.8652", "5.8579", "5.8506", "5.8432", "5.8358", "5.8284", "5.8209", "5.8135", "5.8060", "5.7985", "5.7909", "5.7834", "5.7758", "5.7681", "5.7605", "5.7528", "5.7451", "5.7373", "5.7295", "5.7217", "5.7138", "5.7059", "5.6979", "5.6899", "5.6819", "5.6738", "5.6657", "5.6575", "5.6493", "5.6411", "5.6327", "5.6244", "5.6159", "5.6074", "5.5989", "5.5903", "5.5816", "5.5729", "5.5641", "5.5552", "5.5462", "5.5372", "5.5281", "5.5189", "5.5096", "5.5003", "5.4908", "5.4813", "5.4717", "5.4619", "5.4521", "5.4422", "5.4321", "5.4219", "5.4116", "5.4012", "5.3906", "5.3799", "5.3691", "5.3581", "5.3469", "5.3356", "5.3241", "5.3124", "5.3005", "5.2885", "5.2762", "5.2636", "5.2509", "5.2379", "5.2246", "5.2110", "5.1971", "5.1829", "5.1683", "5.1534", "5.1380", "5.1222", "5.1059", "5.0891", "5.0717", "5.0536", "5.0347", "5.0151", "4.9945", "4.9727", "4.9497", "4.9251", "4.8986", "4.8697", "4.8376", "4.8012", "4.7586", "4.7059", "4.6334", "4.4070" ); p = ( "MPa@M/(T2*L)", "0.0006117", "0.0006571", "0.0007060", "0.0007581", "0.0008135", "0.0008726", "0.0009354", "0.0010021", "0.0010730", "0.0011483", "0.0012282", "0.0013130", "0.0014028", "0.0014981", "0.0015990", "0.0017058", "0.0018188", "0.0019384", "0.0020647", "0.0021983", "0.0023393", "0.0024882", "0.0026453", "0.0028111", "0.0029858", "0.0031699", "0.0033639", "0.0035681", "0.0037831", "0.0040092", "0.0042470", "0.0044969", "0.0047596", "0.0050354", "0.0053251", "0.0056290", "0.0059479", "0.0062823", "0.0066328", "0.0070002", "0.0073849", "0.0077878", "0.0082096", "0.0086508", "0.0091124", "0.0095950", "0.010099", "0.010627", "0.011177", "0.011752", "0.012352", "0.012978", "0.013631", "0.014312", "0.015022", "0.015762", "0.016533", "0.017336", "0.018171", "0.019041", "0.019946", "0.020888", "0.021867", "0.022885", "0.023943", "0.025042", "0.026183", "0.027368", "0.028599", "0.029876", "0.031201", "0.032575", "0.034000", "0.035478", "0.037009", "0.038595", "0.040239", "0.041941", "0.043703", "0.045527", "0.047414", "0.049367", "0.051387", "0.053476", "0.055635", "0.057867", "0.060173", "0.062556", "0.065017", "0.067558", "0.070182", "0.072890", "0.075684", "0.078568", "0.081541", "0.084608", "0.087771", "0.091030", "0.094390", "0.097852", "0.10142", "0.10509", "0.10887", "0.11277", "0.11678", "0.12090", "0.12515", "0.12952", "0.13401", "0.13863", "0.14338", "0.14826", "0.15328", "0.15844", "0.16374", "0.16918", "0.17477", "0.18052", "0.18641", "0.19246", "0.19867", "0.20505", "0.21159", "0.21830", "0.22518", "0.23224", "0.23947", "0.24689", "0.25450", "0.26229", "0.27028", "0.27846", "0.28685", "0.29543", "0.30423", "0.31323", "0.32245", "0.33188", "0.34154", "0.35143", "0.36154", "0.37189", "0.38247", "0.39329", "0.40437", "0.41568", "0.42726", "0.43909", "0.45118", "0.46354", "0.47616", "0.48907", "0.50225", "0.51571", "0.52946", "0.54350", "0.55784", "0.57247", "0.58742", "0.60267", "0.61823", "0.63412", "0.65033", "0.66686", "0.68373", "0.70093", "0.71848", "0.73638", "0.75462", "0.77322", "0.79219", "0.81152", "0.83122", "0.85130", "0.87176", "0.89260", "0.91384", "0.93547", "0.95751", "0.97995", "1.0028", "1.0261", "1.0498", "1.0739", "1.0985", "1.1235", "1.1489", "1.1748", "1.2011", "1.2280", "1.2552", "1.2830", "1.3112", "1.3399", "1.3691", "1.3988", "1.4290", "1.4597", "1.4909", "1.5227", "1.5549", "1.5877", "1.6210", "1.6549", "1.6893", "1.7243", "1.7598", "1.7959", "1.8326", "1.8698", "1.9077", "1.9461", "1.9851", "2.0247", "2.0650", "2.1058", "2.1473", "2.1894", "2.2322", "2.2756", "2.3196", "2.3643", "2.4096", "2.4556", "2.5023", "2.5497", "2.5978", "2.6466", "2.6960", "2.7462", "2.7971", "2.8487", "2.9010", "2.9541", "3.0080", "3.0625", "3.1179", "3.1740", "3.2308", "3.2885", "3.3469", "3.4062", "3.4662", "3.5270", "3.5887", "3.6512", "3.7145", "3.7786", "3.8436", "3.9095", "3.9762", "4.0438", "4.1122", "4.1815", "4.2518", "4.3229", "4.3949", "4.4679", "4.5417", "4.6165", "4.6923", "4.7689", "4.8466", "4.9252", "5.0047", "5.0853", "5.1668", "5.2494", "5.3329", "5.4174", "5.5030", "5.5896", "5.6772", "5.7659", "5.8556", "5.9464", "6.0383", "6.1312", "6.2252", "6.3203", "6.4166", "6.5139", "6.6124", "6.7120", "6.8128", "6.9147", "7.0177", "7.1220", "7.2274", "7.3340", "7.4418", "7.5508", "7.6610", "7.7725", "7.8852", "7.9991", "8.1143", "8.2308", "8.3485", "8.4676", "8.5879", "8.7095", "8.8325", "8.9568", "9.0824", "9.2094", "9.3378", "9.4675", "9.5986", "9.7311", "9.8651", "10.000", "10.137", "10.275", "10.415", "10.556", "10.699", "10.843", "10.989", "11.136", "11.284", "11.434", "11.586", "11.740", "11.895", "12.051", "12.209", "12.369", "12.530", "12.693", "12.858", "13.024", "13.193", "13.362", "13.534", "13.707", "13.882", "14.059", "14.238", "14.418", "14.601", "14.785", "14.971", "15.159", "15.349", "15.541", "15.734", "15.930", "16.128", "16.328", "16.529", "16.733", "16.939", "17.147", "17.358", "17.570", "17.785", "18.002", "18.221", "18.442", "18.666", "18.892", "19.121", "19.352", "19.585", "19.821", "20.060", "20.302", "20.546", "20.793", "21.044", "21.297", "21.554", "21.814", "22.064" ); t = ( "C@O", "0.01", 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, "373.946" ); 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6$$%@$6%>%(R/home/german/Proyectos/GSfisica/estRigida/solidoC.tifCreated with GIMPHHtrunk/English.lproj/staticRigidBodies.gorm/vigaDer.tif0000777000076400007640000002403013070110276022702 0ustar germangermanII*$        EEE_kkkEEE_スAAAн777]]]!!!.;;;~~~qqq```ώǟ͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍͍@@@@@@@@@@@@@@@@@@@@@@@@666 G 111DG{{{444Hd//////////////////// xxx***߽***zzz~~~###1~~~)))\\\~)))̽qqqGGGblll󱱱񰰰𰰰ﯯ묬ꫫ骪窪穩槧00$ Q$L%@$^%f%(RIn%/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/estArmaduras/vigaDer.tifCreated with GIMPHH8BIM Unnamed#2UT/_/_/_///8BIM Unnamed#1UTUTUTUU~UUUTUU1UU]1UU]1UU]UTUTUT3UU3UU3UU8BIMUnnamed{{{A{A{A{UTYUTYUTY|||ҪҪҪtrunk/English.lproj/staticRigidBodies.gorm/f_arriba.tif0000777000076400007640000002463613070110276023102 0ustar germangermanII*$` `S S  JJ@@<<""))xxzz2200$ 6$0%@$B%J%(RILR%/home/german/Proyectos/GSfisica/estatica/f_arriba.tifCreated with GIMPHH8BIM Sin nombre#7iUTiUTiUTUUUUUU!UUUT!UUUT!UUUT8BIM Sin nombre#6hUTUTUTUTUTUT8BIM Sin 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''''--001177;;;;AAGGIIIIN N}}W WxxQ Qk k_ _^ ^e ef fb bd d` `] ]m mS S>>xxxxM M` `CCxx>>p p>>X X@@??&&II::88p p_ _O O??//EE 00$$R&&&&&&JJ&&&&&&I&&& &&Pѱ % @A @2 @1 @1  @1 @1JPұ &%PӱPԱ&%ButtonPձ @H @HPֱ &Pױ @H @HII0I0Pر&$$II*$''DD%%  }}zzxxu uq qo om ml li ie eb b_ _] ][ [W WU UR RP PM MJJHHEEBB@@==::88552200--++((%%##!!    j j!!33V V 00$$R&&&&&&JJ&&&&&&I&&& &&Pٱ % ? @1 @1  @1 @1JPڱ &%P۱Pܱ&%ButtonPݱ @H @HPޱ &P߱ @H @HII0I0P&$$II*$k k  l l_ _n ni im mh hq qa af f[ [f fV Vt tU Uu uX Xp pZ Zh h^ ^k k^ ^{{] ]{{P Pn nU Ut tS SX XM MU UU ULLN NR RP PIIHHM MEE<<JJAAGGGGFF??DD>>BB@@@@;;::  ;;<<  ;;77;;f f@@@@@@@@@@@@@@Ϳ00 00$$R&&&&&&JJ&&&&&&I&&& &&P % @1  @1 @1  @1 @1JP &%PP&%ButtonP @H @HP &P @H @HII0I0P&$$II*$||  !!##&&))++..11446699<<>>AADDGGIILLO OQ QT TW WZ Z\ \_ _b bd dg gj jm mo o))r r..IIu uFF--66wwm myyZ ZU UAA 00$$R&&&&&&JJ&&&&&&I&&& &&PP&%Force&&&&&&JJ&&&&&& @ @%%P% @U @V @P @S  @P @SJP &P % @ @ @J @J  @J @JJP &  P%  @J @J  @J @JJP &%PP @X @XP &P @X @XII`I`P&II*MMDHMNNN9ccNND 'NNNNNNNBNNNNNID?/bbMNNN> 'NNNNNNN;NNNJ// kkMN8NJN= BNDN:NN6NL66(NN ii'N+GN> ?NBLLN:NN8NJ00.NLVV'N&}}CN@BNC@@N:NN5NK33 &&LKII(N%||BNff>NB @@N:NN8NI $$MM>>(N%{{& ?ND@@N:NN7NI ++(N%{{ ?NC@@N:::6NI//(N%zz >NC6NI22(N%yy =NC5NI22(N%yy <NH 5NH22)N$xx <NH 5NH22)N$ww <NH 5NH//)N$ww <NI !!6NH )))N$vv<NE7NH ##*N#uu;NE8NK00*N#uu:NF7NJ --*N#tt >NF $$5NI ,,*N#ss9NF ''7NH00*N#ss8NG %%6NH **+N"rr:NI ''7NG+N"qq8NG8NJ +++N"qq;NG ((6NG --+N"pp6NG --8NG..,N!oo7NI **7NG ,N!oo7NK..9NI **,N!nn9NH **7NG ,,,N!mm4NH119NG **,N!mm7NJ..8NK ,,,N!ll4NK449NG ++-N kk3NI557NG ++-N kk2NI77788 1 ""+N>*E CN.6NLMM ''KNUU@NJ??bbNL --22FNA0ND KN:@N4N@''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&+KNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNENG)''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&(FNF @N@ ;NCANB8NEBNB6NG "" @N jj$xxNH ))%||422!ll jjMD ZZMM jj4NUU<NDffMM!ll4NTT >NFddNNbb4NSS<NC XXMNff4NSS@NDXXMN"rr4NRR >NC__MN#tt5NQQ>ND]]MNee5NQQ=NCRRMN!oo5NPPBNDPPMN%zz5NOO >NCXXMN%||5NOO?NFLLLN!ll6NNN>NCRRMN'6NMM@NBKKMN,6NMM>NCHHLN(6NLL ?NBMMLN(7NKK?NGOOLN*7NJJ?NFGGLN,7NJJ>ND<<KN.7NII?NCJJMN07NHHANCHHMN07NHHBNCFFMN08NGGCNCEEMN18NFFCND66KN18NFFCNE99KN28NEEBNA  (;66::KN19NDDANB*N!nn6NMM<<LN0??9NDD(@NC0Ndd3NXX --JN/<<K<9NCC --FN`` @NA 5NQQ0N(KN4 **DND ))9NBBBBJN;BND<N>>,NLN1=NLOO9N*MN3 @NLN ++0NNG::::004NNCNNN(00@@@@KKDNN ''KNNNNNNN@@$vvMNNMaa:NNNNNN7K:AA@@@@@@@@@@OOKL__+::::;G  ``R&&&&&&JJ&&&&&&%%% @X @XP % @A @1 @1  @1 @1JP &% PP&%ButtonP @H @HP &P @H @HII0I0P&$$II*$B<=?ADFIJKNNNNNNNNNNKND;; ((  <NN=:NFN> :NVVFN> :N@@EN> :N@@EN>:N@@FN=:N@@CNA``' CN>EN? 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ButtonCell(2)W0̱&%TextFieldCell(5)u0ͱ &DD01,NSNibConnector0ϱ&% NSOwner0б,ɰ0ѱ,ǰɐ0ұ,ǐ0ӱ,ɐ0Ա,01-NSNibControlConnector0ֱ&%_popUpItemAction:0ױ,0ر,ɐ0ٱ,0ڱ,0۱,0ܱ,ưɐ0ݱ,ŰƐ0ޱ,ɐ0߱,Ȱ0,ɐ0,0,ɐ0,˰01.NSNibOutletConnector0&%delegate0,ɐ0,°0.0&%initialFirstResponder0,ϐ0.0& % substances0.0& % selectedTable0.0&%dataA0.0&%dataB0.0&%checkBox0-0& % selectTable:0-0&%getData:0-0&%selectSubstance:0.ϰ0&%propertiesWindow0.0&%textView0,ɐP,P,ɐP,P,ʰɐP,ʐP.P& % checkBoxTwoP.P&%qualityP .P &%labelP -P & % useQuality:P ,ɐP,̰P,ɐP,P,P,P,P.P&%tabviewP,P,P-P&%_popUpItemAction:P,P-P&%_popUpItemAction:P,P-P&%_popUpItemAction:P ,İP!,P",ðP#.P$&%typeAP%.P&& % nextKeyViewP'.P(& % nextKeyViewP).P*& % nextKeyViewP+.P,& % nextKeyViewP-+&trunk/English.lproj/firstLaunchPanel.gorm/data.info0000777000076400007640000000027012734077064022266 0ustar germangermanGNUstep archive000f4240:00000003:00000003:00000000:01GormFilePrefsManager1NSObject%01NSString&%Latest Version0& % Typed Streamtrunk/English.lproj/firstLaunchPanel.gorm/data.classes0000777000076400007640000000215112734077064022770 0ustar germangerman{ "## Comment" = "Do NOT change this file, Gorm maintains it"; AppController = { Actions = ( "showPrefPanel:", "showHelpPanel:", "showPropertiesWindow:", "selectModule:", "addToChalkboard:", "changeChalkboardWidth:", "changeChalkboardHeight:", "changeFontsizeTooltips:", "restoreDefaults:", "notShowAgain:" ); Outlets = ( elements, helpPanel, unitsSelector, system, chalkboard, staticRigidBodies, staticRigidBodiesView, dynamicsCircularParticles, dynamicsCircularParticlesView, thermodynamics, thermodynamicsView, widthLabel, heightLabel, fontsizeLabel, widthStepper, heightStepper, fontsizeStepper, firstLaunchPanel ); Super = NSObject; }; FirstResponder = { Actions = ( "addToChalkboard:", "changeChalkboardHeight:", "changeChalkboardWidth:", "changeFontsizeTooltips:", "notShowAgain:", "restoreDefaults:", "selectModule:", "showHelpPanel:", "showPrefPanel:", "showPropertiesWindow:" ); Super = NSObject; }; }trunk/English.lproj/firstLaunchPanel.gorm/COPYING.txt0000777000076400007640000000037112734077064022353 0ustar germangermanCopyright (C) 2015 German A. Arias Copying and distribution of .tiff file in this folder, with or without modification, are permitted in any medium without royalty. Provided the copyright notice and this notice are preserved. trunk/English.lproj/firstLaunchPanel.gorm/logoPanel.tiff0000777000076400007640000372060412734077064023307 0ustar germangermanII*^^ ^^^ ^^ ^ ^^ _^^ ^^ ^ _^^ ^ ^^ ^ ^_^^ _ ^ ^^ _ ^ _ ^ ^^^ ^^^_ _^^_^ _ ^^ ^ ^^^___^^^ ^ ^ ^^ ^^ ^_ ^^^_^ _ ^^_ ^ ^^^ ^ ^ ^ ^^ ^^_^ ^^^ ^ _ _ _ ^^^^^^^_ ^^ ^^ _ ^^ ^_ _ ^ ^ ^^^ ^^_ ^ _ ^ _ _^_ _ ^__ ^ ^ _ ^ ^ _ ^ ^_^^_ _ ^ ^^ ^ ^ ^^^^ ^^^_ ^ ^___ ^ ^^^ ^^^^^^_ __^^ ^_ _^^^^ ^ ^ ^^^ _^ _ ^ _^ ^ _^ _ ^ ^^^^_^^ ^ _ ^ _^ ^ _ _ ^ ^_^ ^ ^_ ^ _ ^ _^^^ ^ _^^ ^^^ ^^ ^ ^^^_^ _ _ ^^ ^_^ ^_^^_^^^_ _^^_ ^_ ^^ ^ ^_ ^^^ ^ ^^^ ^ ^^_ ^ _^ ^^ ^^ _^ ^ ^ ^_^^^__ _ ^_ _^ ^ ^_^_^^ _ ^_^^ ^_^ ^^^ ^_^^^_^^^ ^^__ ^^_ ^^ ^ _ ^_ _ _ ^ ^^ ^^^^ ^_^^^^ ^^_ ^ _ ^ ^ ^_^^ _^^^ ^ ^_^^^ _ ^ ^ _ ^_^^^^ ^_^ _^ ^_ _ ^^^ ^ _^ ^ ^^^^^ ^^^ _^_ ^_^ ^ _^^ ^ _ ^__ ^ ^ ^^^ __^^__^ ^ ^ ^ _^_ ^_^ ^ ^^ ^ ^_ ^ ^^^^ _^ _^^^ _^^^ ^ _^ __ ^^^ ^^ _ ^_ __^ ^ ^ ^ _^ ^_ ^^_^_ _^^ ^_ ^ ^ _^ ^ ^ ^^ ^_ ^^ ^^ ^^_ _ ^ _^ ^ ^ ^^^^^^__^^ _^_ ^^^ ^_ _ ^^ ^_^^_^^ 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PZNH[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTę/%" PZNH[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTę/%" OYOH[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTę/&# NWOH[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTę/'$ MVPH[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTę/'$ LUN3f TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTQ[TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTΞ0* PYdUUTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTΞ1* W[hWiTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTϟ2+ W[hWiTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTϟ2+ W[hWiTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTϟ3- VZiWiTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT*' X_|mmTTTTTTTTTTTTTTTTTTTTTTTTTTTT+( X^|mmTTTTTTTTTTTTTTTTTTTTTTTTTT,) W^}mmTTTTTTTTTTTTTTTTTTTTTTTϟ6/ SXkWiTTTTTTTTTTTTTTTTTTTTTϟ81 SWlWiTTTTTTTTTTTTTTTTTTTT.+ U\~mmTTTTTTTTTTTTTTTTTT.+ U[mmTTTTTTTTTTTTTTTT/, U[mmTTTTTTTTTTTTTϟ;3 RVlWiTTTTTTTTTTTϟ<4 QUmWiTTTTTTTTTT1.SZmmTTTTTTTT2.RYmmTTTTTT>6 OSnWiTTTT<5ORoWiTT), KQpWiT$(LTtHmbb UU00$ B$<%@$N%V%(RIf^%/home/german/Documentos/FisicaLab/Iconos/estRigida/solidoINED.tifCreated with GIMPHH8BIM Sin nombre#1|||URURURyyy8BIM Sin nombre UQ UQ UQUTUTUTtrunk/Spanish.lproj/staticRigidBodies.gorm/solidoEID.tif0000777000076400007640000002275413070114626023166 0ustar germangermanII*$TTTTTTTTTTTTTTTTTTTTTTTTTTT<<<TTTTTTTTTTTTTTTTTTTTTTTTTTT;<<TTTTTTTTTTTTTTTTTTTTTTTTTTT;<<TTTTTTTTTTTTTTTTTTTTTTTTTTT;<<TTTTTTTTTTTTTTTTTTTTTTTTTTT;<<TTTTTTTTTTTTTTTTTTTTTTTTTTT:<<TTTTTTTTTTTTTTTTTTTTTTTTTTT:<<TTTTTTTTTTTTTTTTTTTTTTTTTTT:<<TTTTTTTTTTTTTTTTTTTTTTTTTTT9<< TTTTTTTTTTTTTTTTTTTTTTTTTTT9<< TTTTTTTTTTTTTTTTTTTTTTTTTTT9<< TTTTTTTTTTTTTTTTTTTTTTTTTTT9<< TTTTTTTTTTTTTTTTTTTTTTTTTTT8<< TTTTTTTTTTTTTTTTTTTTTTTTTTT8<<TTTTTTTTTTTTTTTTTTTTTTTTTTT8<<TTTTTTTTTTTTTTTTTTTTTTTTTTT8<<TTTTTTTTTTTTTTTTTTTTTTTTTTT7<<TTTTTTTTTTTTTTTTTTTTTTTTTTT7<<TTTTTTTTTTTTTTTTTTTTTTTTTTT7<<TTTTTTTTTTTTTTTTTTTTTTTTTTT7<<TTTTTTTTTTTTTTTTTTTTTTTTTTT6<<TTTTTTTTTTTTTTTTTTTTTTTTTTT6<<TTTTTTTTTTTTTTTTTTTTTTTTTTT6<<TTTTTTTTTTTTTTTTTTTTTTTTTTT5<<TTTTTTTTTTTTTTTTTTTTTTTTTTT5<<TTTTTTTTTTTTTTTTTTTTTTTTTTT5<<TTTTTTTTTTTTTTTTTTTTTTTTTTT5<<TTTTTTTTTTTTTTTTTTTTTTTTTTT9<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<!!```````````````````````````````````````````````````````````` 00$ 8$2%@$D%L%(RIT%/home/german/Proyectos/GSfisica/estRigida/solidoEID.tifCreated with GIMPHH8BIM Sin nombreUTUTUTUUUUUUtrunk/Spanish.lproj/staticRigidBodies.gorm/solidoInfo.tif0000777000076400007640000002316013070114626023450 0ustar germangermanII*$ ``""""""""" ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާ ``ާާާާާާާާuuާާާާާާާާ~~ާާާާާާާާާ ާާާާާާާާާާާާާާާާާާާާާ MMާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާ ]]ާާާާާާާާާާާާާާާާާާ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާާ}} `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` TT00$ 9$4%@$F%N%(RIV%/home/german/Proyectos/GSfisica/estRigida/solidoInfo.tifCreated with GIMPHH8BIM Sin nombreUTUTUTUTUTUTUTUTUTtrunk/Spanish.lproj/staticRigidBodies.gorm/punto.tif0000777000076400007640000002607213070114626022515 0ustar germangermanII*$Y YY YY YY YY YY YY YY Y00$ 5$0%@$B%J%(RIR%/home/german/Proyectos/GSfisica/cinematica/punto.tifCreated with GIMPHH8BIM Sin nombre#11UTUTUTUUUTUUUTUUUT5UU5UU5UU8BIM Sin nombre#10!UU}UT!UU}UT!UU}UT""UT"9UUUT9UUUT9UUUT8BIM Sin nombre#9hMUUkMUUkMUUk&UT%UUUT#UT8BIM Sin nombre#8~~UUUUUU///8BIM Sin nombre#7}UT}UT}UTUTUTUT2228BIM Sin nombre#6hGiUTGiUTGiUT8BIM Sin nombre#5hFFFmUT֪nJqUT8BIM Sin nombre#4......KKK8BIM Sin nombre#33Ϊ3Ϊ3UT+UT+ª+UTUTUT8BIM Sin nombre#2)UU)UU)UUҪYUTYUTYUT9UUު9UUު9UUު8BIM Sin nombre#1&Ҫ&Ҫ&ҪWWW9UUUT9UUUT9UUUT8BIM Sin nombre&Ҫ&Ҫ&UTYUTYUTYUT9UU9UUު9UUUTtrunk/Spanish.lproj/staticRigidBodies.gorm/vigaNE.tif0000777000076400007640000002430613070114626022517 0ustar germangermanII*$````````````````````````TTT^^^ HHH ^^^ @@@ ۽{{{ ,OOO콽$LLL⽽}}}! 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germangermanII*$TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTe6''e6TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTF%F%TTTTTTTTTTTTTTTTTTTTTTTTTTTTTe6e6TTTTTTTTTTTTTTTTTTTTTTTTTTTT''TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT''TTTTTTTTTTTTTTTTTTTTTTTTTTTTe6e6TTTTTTTTTTTTTTTTTTTTTTTTTTTTTF%F%TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTe6''e6TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT00$ 6$$%@$6%>%(R/home/german/Proyectos/GSfisica/estRigida/solidoC.tifCreated with GIMPHHtrunk/Spanish.lproj/staticRigidBodies.gorm/vigaDer.tif0000777000076400007640000002403013070114626022721 0ustar germangermanII*$A'q)~)*zx*i2222222222222222222K{K ШՕՕՕՕՕՕՕՕՕՕՕՕՕՕՕՕՕՕՕ@@@@@@@@6q`;7A00$ Q$L%@$^%f%(RIn%/home/german/Documentos/FisicaLab-Info/FisicaLab/Iconos/estArmaduras/vigaDer.tifCreated with GIMPHH8BIM Unnamed#2UT/_/_/_///8BIM Unnamed#1UTUTUTUT~UTUTUT1UT]1UT]1UT]UTUTUT3UT3UT3UT8BIMUnnamed{{{A{A{A{UTYUTYUTY|||ҪҪҪtrunk/Spanish.lproj/staticRigidBodies.gorm/f_arriba.tif0000777000076400007640000002463613070114626023121 0ustar germangermanII*$` `S S  JJ@@<<""))xxzz2200$ 6$0%@$B%J%(RILR%/home/german/Proyectos/GSfisica/estatica/f_arriba.tifCreated with GIMPHH8BIM Sin nombre#7iUTiUTiUTUUUUUU!UUUT!UUUT!UUUT8BIM Sin nombre#6hUTUTUTUTUTUT8BIM Sin nombre#5⪩eUT⪩eUT⪩eUTUTUTUTUTUTUTUT8BIM Sin nombre#4hUTUTUTUTUTUT8BIM Sin nombre#3hUTUTUT8BIM Sin nombre#2hUTUTUTUTUTUTUTUTUT8BIM Sin 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``ާާާާާާާާާާާާާާާާާާާ677 ``ާާާާާާާާާާާާާާާާާާާ677 ``ާާާާާާާާާާާާާާާާާާާ677 UU67r65f65f65f65f65f65f65f65f65f65f65f65f65f65f65f65f65f65f65f67v7700$ :$(%@$:%B%(R/home/german/Proyectos/GSfisica/estRigida/cuerposInfo.tifCreated with GIMPHHtrunk/Spanish.lproj/staticRigidBodies.gorm/solidoINSI.tif0000777000076400007640000002325213070114626023321 0ustar germangermanII*$Q[LX'E\ ff-"H[ff-" aa׭TTH[ff-" ~h:ӻTTTH[ff-" ~hɻTTTTTTH[ff-" ~hɻTTTTTTTTH[ff-" ~hɻTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTTTTTTTH[ff-"iʻTTTTTTTTTTTTTTTTTTTTTTTTTTH[ff-"iʻTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[ff-" ~hɻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[ff-"iʻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[ff-"iʻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[co)$(iʻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTH[Mc # ztŻTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT3f 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3%%f]]]]]]]]]]]]]]]]]]]]]]]]rSS rSS]]]]]]]]]]]]]]]]]]]]]]qRR zYY]]]]]]]]]]]]]]]]]]]]rSS wWW]]]]]]]]]]]]]]]]]]uUU !ZAA]]]]]]]]]]]]]]]]xWW* #{ZZ]]]]]]]]]]]]yXX5'OxWW]]]]]]]]jMM-C11K66H44;++v00$ 7$2%@$D%L%(RI~T%/home/german/Proyectos/GSfisica/estRigida/vigaInfo.tifCreated with GIMPHH8BIM Sin nombreh+UUUT+UUUT+UUUTUT/UUUT/UUUT/UUtrunk/Spanish.lproj/staticRigidBodies.gorm/solidoIS.tif0000777000076400007640000002272213070114626023073 0ustar 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7$2%@$D%L%(RI~T%/home/german/Proyectos/GSfisica/estRigida/solidoIS.tifCreated with GIMPHH8BIM Sin nombrehnnnmmmtrunk/Spanish.lproj/staticRigidBodies.gorm/fricciones.tif0000777000076400007640000011432013070114626023466 0ustar germangermanII*MMDHMNNN9ccNND 'NNNNNNNBNNNNNID?/bbMNNN> 'NNNNNNN;NNNJ// kkMN8NJN= BNDN:NN6NL66(NN ii'N+GN> ?NBLLN:NN8NJ00.NLVV'N&}}CN@BNC@@N:NN5NK33 &&LKII(N%||BNff>NB @@N:NN8NI $$MM>>(N%{{& ?ND@@N:NN7NI ++(N%{{ ?NC@@N:::6NI//(N%zz >NC6NI22(N%yy =NC5NI22(N%yy <NH 5NH22)N$xx <NH 5NH22)N$ww <NH 5NH//)N$ww <NI !!6NH )))N$vv<NE7NH ##*N#uu;NE8NK00*N#uu:NF7NJ --*N#tt >NF $$5NI ,,*N#ss9NF ''7NH00*N#ss8NG %%6NH **+N"rr:NI ''7NG+N"qq8NG8NJ +++N"qq;NG ((6NG --+N"pp6NG --8NG..,N!oo7NI **7NG ,N!oo7NK..9NI **,N!nn9NH **7NG ,,,N!mm4NH119NG **,N!mm7NJ..8NK ,,,N!ll4NK449NG ++-N kk3NI557NG ++-N kk2NI77788 1 ""+N>*E CN.6NLMM ''KNUU@NJ??bbNL --22FNA0ND KN:@N4N@''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&+KNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNENG)''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&(FNF @N@ ;NCANB8NEBNB6NG "" @N jj$xxNH ))%||422!ll jjMD ZZMM jj4NUU<NDffMM!ll4NTT >NFddNNbb4NSS<NC XXMNff4NSS@NDXXMN"rr4NRR >NC__MN#tt5NQQ>ND]]MNee5NQQ=NCRRMN!oo5NPPBNDPPMN%zz5NOO >NCXXMN%||5NOO?NFLLLN!ll6NNN>NCRRMN'6NMM@NBKKMN,6NMM>NCHHLN(6NLL ?NBMMLN(7NKK?NGOOLN*7NJJ?NFGGLN,7NJJ>ND<<KN.7NII?NCJJMN07NHHANCHHMN07NHHBNCFFMN08NGGCNCEEMN18NFFCND66KN18NFFCNE99KN28NEEBNA  (;66::KN19NDDANB*N!nn6NMM<<LN0??9NDD(@NC0Ndd3NXX --JN/<<K<9NCC --FN`` @NA 5NQQ0N(KN4 **DND ))9NBBBBJN;BND<N>>,NLN1=NLOO9N*MN3 @NLN ++0NNG::::004NNCNNN(00@@@@KKDNN ''KNNNNNNN@@$vvMNNMaa:NNNNNN7K:AA@@@@@@@@@@OOKL__+::::;G `` 82D@LT\(RIld/home/german/Proyectos/GSfisica/estatica/fricciones.tifCreated with GIMP``0HH8BIM Sin nombre#10qUTqUTqUTUTUTUTUTUTUT8BIM Sin nombre#9ooo8BIM Sin nombre#8kUTkUTkUT~~~8BIM Sin nombre#7쪩k쪩k쪩kUTUTUT8BIM 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''''--001177;;;;AAGGIIIIN N}}W WxxQ Qk k_ _^ ^e ef fb bd d` `] ]m mS S>>xxxxM M` `CCxx>>p p>>X X@@??&&II::88p p_ _O O??//EE 00$$R&&&&&&JJ&&&&&&I&&& &&Pѱ % @A @2 @1 @1  @1 @1JPұ &%PӱPԱ&%ButtonPձ @H @HPֱ &Pױ @H @HII0I0Pر&$$II*$''DD%%  }}zzxxu uq qo om ml li ie eb b_ _] ][ [W WU UR RP PM MJJHHEEBB@@==::88552200--++((%%##!!    j j!!33V V 00$$R&&&&&&JJ&&&&&&I&&& &&Pٱ % ? @1 @1  @1 @1JPڱ &%P۱Pܱ&%ButtonPݱ @H @HPޱ &P߱ @H @HII0I0P&$$II*$k k  l l_ _n ni im mh hq qa af f[ [f fV Vt tU Uu uX Xp pZ Zh h^ ^k k^ ^{{] ]{{P Pn nU Ut tS SX XM MU UU ULLN NR RP PIIHHM MEE<<JJAAGGGGFF??DD>>BB@@@@;;::  ;;<<  ;;77;;f f@@@@@@@@@@@@@@Ϳ00 00$$R&&&&&&JJ&&&&&&I&&& &&P % @1  @1 @1  @1 @1JP &%PP&%ButtonP @H @HP &P @H @HII0I0P&$$II*$||  !!##&&))++..11446699<<>>AADDGGIILLO OQ QT TW WZ Z\ \_ _b bd dg gj jm mo o))r r..IIu uFF--66wwm myyZ ZU UAA 00$$R&&&&&&JJ&&&&&&I&&& &&PP&%Fuerza&&&&&&JJ&&&&&& @ @%%P% @U @V @P @S  @P @SJP &P % @ @ @J @J  @J @JJP &  P%  @J @J  @J @JJP &%PP @X @XP &P @X @XII`I`P&II*MMDHMNNN9ccNND 'NNNNNNNBNNNNNID?/bbMNNN> 'NNNNNNN;NNNJ// kkMN8NJN= BNDN:NN6NL66(NN ii'N+GN> ?NBLLN:NN8NJ00.NLVV'N&}}CN@BNC@@N:NN5NK33 &&LKII(N%||BNff>NB @@N:NN8NI $$MM>>(N%{{& ?ND@@N:NN7NI ++(N%{{ ?NC@@N:::6NI//(N%zz >NC6NI22(N%yy =NC5NI22(N%yy <NH 5NH22)N$xx <NH 5NH22)N$ww <NH 5NH//)N$ww <NI !!6NH )))N$vv<NE7NH ##*N#uu;NE8NK00*N#uu:NF7NJ --*N#tt >NF $$5NI ,,*N#ss9NF ''7NH00*N#ss8NG %%6NH **+N"rr:NI ''7NG+N"qq8NG8NJ +++N"qq;NG ((6NG --+N"pp6NG --8NG..,N!oo7NI **7NG ,N!oo7NK..9NI **,N!nn9NH **7NG ,,,N!mm4NH119NG **,N!mm7NJ..8NK ,,,N!ll4NK449NG ++-N kk3NI557NG ++-N kk2NI77788 1 ""+N>*E CN.6NLMM ''KNUU@NJ??bbNL --22FNA0ND KN:@N4N@''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&+KNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNENG)''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&(FNF @N@ ;NCANB8NEBNB6NG "" @N jj$xxNH ))%||422!ll jjMD ZZMM jj4NUU<NDffMM!ll4NTT >NFddNNbb4NSS<NC XXMNff4NSS@NDXXMN"rr4NRR >NC__MN#tt5NQQ>ND]]MNee5NQQ=NCRRMN!oo5NPPBNDPPMN%zz5NOO >NCXXMN%||5NOO?NFLLLN!ll6NNN>NCRRMN'6NMM@NBKKMN,6NMM>NCHHLN(6NLL ?NBMMLN(7NKK?NGOOLN*7NJJ?NFGGLN,7NJJ>ND<<KN.7NII?NCJJMN07NHHANCHHMN07NHHBNCFFMN08NGGCNCEEMN18NFFCND66KN18NFFCNE99KN28NEEBNA  (;66::KN19NDDANB*N!nn6NMM<<LN0??9NDD(@NC0Ndd3NXX --JN/<<K<9NCC --FN`` @NA 5NQQ0N(KN4 **DND ))9NBBBBJN;BND<N>>,NLN1=NLOO9N*MN3 @NLN ++0NNG::::004NNCNNN(00@@@@KKDNN ''KNNNNNNN@@$vvMNNMaa:NNNNNN7K:AA@@@@@@@@@@OOKL__+::::;G  ``R&&&&&&JJ&&&&&&%%% @X @XP % @A @1 @1  @1 @1JP &% PP&%ButtonP @H @HP &P @H @HII0I0P&$$II*$B<=?ADFIJKNNNNNNNNNNKND;; ((  <NN=:NFN> :NVVFN> :N@@EN> :N@@EN>:N@@FN=:N@@CNA``' CN>EN? 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Arias Copying and distribution of .tiff file in this folder, with or without modification, are permitted in any medium without royalty. 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GIMPtrunk/Spanish.lproj/thermodynamics.gorm/sensible_heat.tif0000644000076400007640000002357614512433240023604 0ustar germangermanII*$,,, kl444WX mmm78Z[ bbbvw  &&&xy ...jkAB |||LM9: OOO67 ###   >>>```[[[iiiQQQwwwOOOJJJNNN}}}ccc===aaa!!!111%%%{{{ \\\!!![[[!!!MMMeeennn"""KKK 33300% d %n%@$$$(RI%HH/home/german/Documentos/Documentos/FisicaLab-Info/FisicaLab/Iconos/termodinámica/sensible_heat.tifCreated with GIMP8BIM Sin nombre #3hڪ$ڪ$UTʪ#ڪUTUT8BIM Sin nombre #2h$$#UUܪUT8BIM Sin nombre #1h999Ī9UUڪ8BIM Sin nombrehԪ5Ԫ5=UUUT5ԪUTtrunk/Spanish.lproj/thermodynamics.gorm/adiabatic_process.tif0000644000076400007640000002306614512433240024430 0ustar germangermanII*$HHHxrrr+++H &&&@ ___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`bp%1 #49D%ِ6:%KELLLLLL___999`_q&2.ЌB)4ʈC@rh`PrZLLLLLL___999`&2CphVK%%%%% :ą-5LLLLLL___999`4ʈ!. ""ܒ(LLLLLL___999` # ޓ&ߔ #ߔ%LLLLLL___999` 3ˉ- # # # # # "ܒ(LLLLLL___999`#0I}lkMF9ņ*3LLLLLL___999`bp#01͊=)DA?zbaQlVLLLLLL___999`cp&2 # #:;'׏5:%KELLLLLL___999`6:YMLLLLLL___999`+ӍLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___녅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅ߏLLL___LLL                                 00% h %r%@$$$(RI%HH/home/german/Documentos/Documentos/FisicaLab-Info/FisicaLab/Iconos/termodinámica/adiabatic_process.tifCreated with GIMP8BIM Sin nombre6161611119UU9UU9UUtrunk/Spanish.lproj/thermodynamics.gorm/work.tif0000644000076400007640000002304214512433240021745 0ustar germangermanII*$^K8^8N^JJpp~~PPO]R^Q^NAA;;6^OO&&^L^ W W^5--hhkk// PP^5n(n^]"]^d$d8^II=={{}}\MBWX=O[  ??44## I]Z?AU ^E\\&&/^UUDD^e%em(m^..[![^w+w>>**>>^73^ ))^r*r9^00FFggYOLOTBQUaaB] ]5:X^< p)p^/^JJ\!\^v+v^]"]99!!33,,^N[  ^M]\\MMMMT^EM^Meeaaʌʌʌmm;^w+w4^3XXSSʌʌʌ::))ʌʌʌ**BBww nnnnSS //AA SSvv zz((((--GGcc??((((xx==SSⳳnnnn((QQzzkk==GGff{{TT&&BB==xxttttGGKK<<uuttttAANN))ʌʌʌ$$__ʌʌʌʌʌʌ^^RRrr-- }}kksszz{{DDא&&00$ 9$4%@$F%N%(RIV%/home/german/Imágenes/fisicalab/termodinámica/work.tifCreated with GIMPHH8BIM Sin nombre}UT$}UT$}UT$UTUTUT檩UTUTtLW%+UU{UTK4UT{!gUTtrunk/Spanish.lproj/thermodynamics.gorm/data.classes0000644000076400007640000000172114512433240022547 0ustar germangerman{ "## Comment" = "Do NOT change this file, Gorm maintains it"; AppController = { Actions = ( "showPrefPanel:", "showHelpPanel:", "selectModule:", "addToChalkboard:", "changeChalkboardWidth:", "changeChalkboardHeight:", "changeFontsizeTooltips:", "restoreDefaults:" ); Outlets = ( elements, helpPanel, unitsSelector, system, chalkboard, staticRigidBodies, staticRigidBodiesView, dynamicsCircularParticles, dynamicsCircularParticlesView, widthLabel, heightLabel, fontsizeLabel, widthStepper, heightStepper, fontsizeStepper, thermodynamics ); Super = NSObject; }; FirstResponder = { Actions = ( "addToChalkboard:", "changeChalkboardHeight:", "changeChalkboardWidth:", "changeFontsizeTooltips:", "restoreDefaults:", "selectModule:", "showHelpPanel:", "showPrefPanel:" ); Super = NSObject; }; }trunk/Spanish.lproj/thermodynamics.gorm/data.info0000644000076400007640000000027014512433240022043 0ustar germangermanGNUstep archive000f4240:00000003:00000003:00000000:01GormFilePrefsManager1NSObject%01NSString&%Latest Version0& % Typed Streamtrunk/Spanish.lproj/thermodynamics.gorm/gas_v.tif0000644000076400007640000002250214512433240022062 0ustar germangermanII*$fff  ~~~~~~uuuvvv$$$$$$[[[\hhh::::::777777hhh00$ 1$ %@$2%:%(R/home/german/Proyectos/GSfisica/calor/gas_vc.tifCreated with GIMPHHtrunk/Spanish.lproj/thermodynamics.gorm/gas_t.tif0000644000076400007640000002300014512433240022052 0ustar germangermanII*$HHHxrrr+++H &&&@ ___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`h hLLLLLL___999`77LLLLLL___999`77LLLLLL___999`h h LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___녅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅ߏLLL___LLL                                 00$ 1$,%@$>%F%(RIN%/home/german/Proyectos/GSfisica/calor/gas_tc.tifCreated with GIMPHH8BIM Sin nombre6161611119UU9UU9UUtrunk/Spanish.lproj/thermodynamics.gorm/heat_out.tif0000644000076400007640000002306614512433240022601 0ustar germangermanII*$ +VFRRG,Y  ))KVVVVVVL-- IVF0HH  /FFEVK %KooVH  HV'OuuAV;WW;XXVBOVVPTVVTOVVNAV;WW;XXV={%KppVG  GV;XX JVE/FF  .DDEV?~++LVVVVVV;w  ,XGRVV:t-CCTV!Ccc"DeeVT-CC.]  >~V|VVV(RyyVVVVVVVVVVVVVVVVVVVVVVVVVVVU=ZZVVVVVVVVVVVVVVVVVVVVVVVVVVVVN@@@@@@@@@@@@@@@@@@@@@@@BVVVR//6mVVV4NN !!SVV&Nss#44M6m00$ 3$.%@$@%H%(RIP%/home/german/Proyectos/GSfisica/calor/ex_calor.tifCreated with GIMPHH8BIM Sin nombreUT*UT*UT*UTUTUTUTUTUTUTUTUTUTUTUTUTUTUTtrunk/Spanish.lproj/thermodynamics.gorm/heat_pump.tif0000644000076400007640000002422614512433240022752 0ustar germangermanII*$+++YgggxxxDDD ...^jjj```&&&M&CCCtttCCC 666oppp```!!!CGGGtttCCC ???tttXXX4 KKKsss??? FFFuuuLLL$&&&Nqqqsss###G&MMMuuuEEE GGGsss:::wCCC@@@.PPPuuuCCC{{{666osssKKK;;;D<<<{AAA>>tttSSS05```ddd=]]]111eLLL?jjjZZZ# PPPppp222fwwwLLL222gMMM nnn999tttt>>>~???tttCCC!!!LLL@@@ttt..._ nnn PPPlll###H...^qqqTTT>>>111TTT nnn BjjjXXX Afffbbb9nnn nnn@@@sss///a%TTTooo...^nnn@@@))) MMMqqq000b nnn'''Offfsss999u+++DDDfff999ttttDDD nnn%F%(RIN%/home/german/Proyectos/GSfisica/calor/gas_pc.tifCreated with GIMPHH8BIM Sin nombre6161611119UU9UU9UUtrunk/Spanish.lproj/thermodynamics.gorm/objects.gorm0000644000076400007640000040135714512433240022607 0ustar germangermanGNUstep archive000f4240:0000001c:000000e8:00000000:01GSNibContainer1NSObject01 NSMutableSet1NSSet&01GSWindowTemplate1GSClassSwapper01NSString&% NSWindow1NSWindow1 NSResponder% ? ? @n` @rJI @` @p01 NSView% ? ? @n` @r  @n` @rJ01 NSMutableArray1 NSArray&  01 NSButton1 NSControl% @l` @M @Q  @M @QJ0 &I0 1 NSButtonCell1 NSActionCell1NSCell0 &%Calor0 1NSImage @H @H0 1NSColor0 &% NSCalibratedWhiteColorSpace 0 &01NSBitmapImageRep1 NSImageRep0&% NSDeviceRGBColorSpace @H @HII0I001NSData&$$II*$ӄ))--  HH   FF  o o   u uW WX XW WX Xp p   X X  FF   DD++  CCc ce eCCX Xo oxxd dDD""HH` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `` `a a55U U  wwh h 00$$R01NSFont%JJJJJJJJJJJJJJJI0&JJJ JJ0 % @M @l` @M @Q  @M @QJ0 &I00&%Trabajo0 @H @H 0 &0 @H @HII0I00&$$II*$^K8^8N^JJpp~~PPO]R^Q^NAA;;6^OO&&^L^ W W^5--hhkk// PP^5n(n^]"]^d$d8^II=={{}}\MBWX=O[  ??44## I]Z?AU ^E\\&&/^UUDD^e%em(m^..[![^w+w>>**>>^73^ ))^r*r9^00FFggYOLOTBQUaaB] ]5:X^< p)p^/^JJ\!\^v+v^]"]99!!33,,^N[  ^M]\\MMMMT^EM^Meeaaʌʌʌmm;^w+w4^3XXSSʌʌʌ::))ʌʌʌ**BBww nnnnSS //AA SSvv zz((((--GGcc??((((xx==SSⳳnnnn((QQzzkk==GGff{{TT&&BB==xxttttGGKK<<uuttttAANN))ʌʌʌ$$__ʌʌʌʌʌʌ^^RRrr-- }}kksszz{{DDא&& 00$$RJJJJJJJJJJJJJJJIJJJ JJ0 % @] @l` @M @Q  @M @QJ0 &I00&%Ex. Cal.0  @H @H0! 0" &0# @H @HII0I00$&$$II*$ +VFRRG,Y  ))KVVVVVVL-- IVF0HH  /FFEVK %KooVH  HV'OuuAV;WW;XXVBOVVPTVVTOVVNAV;WW;XXV={%KppVG  GV;XX JVE/FF  .DDEV?~++LVVVVVV;w  ,XGRVV:t-CCTV!Ccc"DeeVT-CC.]  >~V|VVV(RyyVVVVVVVVVVVVVVVVVVVVVVVVVVVU=ZZVVVVVVVVVVVVVVVVVVVVVVVVVVVVN@@@@@@@@@@@@@@@@@@@@@@@BVVVR//6mVVV4NN !!SVV&Nss#44M6m 00$$RJJJJJJJJJJJJJJJIJJJ JJ0% % @e @l` @M @Q  @M @QJ0& &I 0'0(&%Pro. Ad.0) @H @H!0* &0+ @H @HII0I00,&$$II*$HHHxrrr+++H &&&@ ___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`bp%1 #49D%ِ6:%KELLLLLL___999`_q&2.ЌB)4ʈC@rh`PrZLLLLLL___999`&2CphVK%%%%% :ą-5LLLLLL___999`4ʈ!. ""ܒ(LLLLLL___999` # ޓ&ߔ #ߔ%LLLLLL___999` 3ˉ- # # # # # "ܒ(LLLLLL___999`#0I}lkMF9ņ*3LLLLLL___999`bp#01͊=)DA?zbaQlVLLLLLL___999`cp&2 # #:;'׏5:%KELLLLLL___999`6:YMLLLLLL___999`+ӍLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___녅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅ߏLLL___LLL                                  00$$RJJJJJJJJJJJJJJJIJJJ JJ0- % @c @M @Q  @M @QJ0. &I 0/00&%P. Isc.01 @H @H!02 &03 @H @HII0I004&$$II*$fff  ~~~~~~uuuvvv$$$$$$[[[\hhh::::::777777hhh 00$$RJJJJJJJJJJJJJJJIJJJ JJ05 % @M @c @M @Q  @M @QJ06 &I 0708&%P. Ist.09 @H @H0: 0; &0< @H @HII0I00=&$$II*$HHHxrrr+++H &&&@ ___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`NNNNNNNNNNNNNNNNNNNNNNNNNNNNLLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`h hLLLLLL___999`77LLLLLL___999`77LLLLLL___999`h h LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___999`LLLLLL___녅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅߅ߏLLL___LLL                                  00$$RJJJJJJJJJJJJJJJIJJJ JJ0> % @] @c @M @Q  @M @QJ0? &I 0@0A&%P. 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"" $$ %% && (( )) ** ,, --..//11334444667799::??DN1/N@QQNL ,,HN!ll:N6RRA00$ 8$2%@$D%L%(RILT%/home/german/Proyectos/GSfisica/estatica/friccion_d.tifCreated with GIMPHH8BIM Sin nombre#7f⪩f⪩f⪩8BIM Sin nombre#6hUTUUUTUUUTUUUTUTUT8BIM Sin nombre#5⪩eUT⪩eUT⪩eUTUTUTUTUTUTUTUT8BIM Sin nombre#4hUTUTUTUTUTUT8BIM Sin nombre#3hUTUTUT8BIM Sin nombre#2hUTUTUTUTUTUTUTUTUT8BIM Sin nombre#1bbbUTUTUTUUUTUUUTUUUT8BIM Sin nombrehUTUTUTUTUTUTUTUTUTtrunk/Spanish.lproj/Fisica.gorm/dil_l.tif0000644000076400007640000002323214513035634020225 0ustar germangermanII*$  [ [p pJJAA33$$AANNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVVNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNVVVVVVVVVV00$ 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Permission is granted to copy, distribute and/or modify the .jpg image in this folder under the terms either: * the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version, or * the GNU Free Documentation License, Version 1.1 or any later version published by the Free Software Foundation; with the no Invariant Sections, with no Front-Cover Texts and with no Back-Cover Texts. These images are distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. trunk/Resources/COPYING.rtfd/TXT.rtf0000777000076400007640000005702112734077052016774 0ustar germangerman{\rtf1\ansi\ansicpg1252\cocoartf102{\fonttbl\f0\fnil FreeSans;} {\colortbl;\red0\green0\blue0;} {{\NeXTGraphic meditate-tiny.jpg \width3000 \height2600}\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\ql\f0\fs24 \'AC}\par \par \cf1 \par GNU Free Documentation License\par Version 1.3, 3 November 2008\par \par \par Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. \par Everyone is permitted to copy and distribute verbatim copies\par of this license document, but changing it is not allowed.\par \par 0. PREAMBLE\par \par The purpose of this License is to make a manual, textbook, or other functional and useful document "free" in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. Secondarily, this License preserves for the author and publisher a way to get credit for their work, while not being considered responsible for modifications made by others.\par \par This License is a kind of "copyleft", which means that derivative works of the document must themselves be free in the same sense. It complements the GNU General Public License, which is a copyleft license designed for free software.\par \par We have designed this License in order to use it for manuals for free software, because free software needs free documentation: a free program should come with manuals providing the same freedoms that the software does. But this License is not limited to software manuals; it can be used for any textual work, regardless of subject matter or whether it is published as a printed book. We recommend this License principally for works whose purpose is instruction or reference.\par \par \par 1. APPLICABILITY AND DEFINITIONS\par \par This License applies to any manual or other work, in any medium, that contains a notice placed by the copyright holder saying it can be distributed under the terms of this License. Such a notice grants a world-wide, royalty-free license, unlimited in duration, to use that work under the conditions stated herein. The "Document", below, refers to any such manual or work. Any member of the public is a licensee, and is addressed as "you". 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In addition, you must do these things in the Modified Version:\par \par A. Use in the Title Page (and on the covers, if any) a title distinct \par from that of the Document, and from those of previous versions\par (which should, if there were any, be listed in the History section\par of the Document). You may use the same title as a previous version\par if the original publisher of that version gives permission.\par B. List on the Title Page, as authors, one or more persons or entities\par responsible for authorship of the modifications in the Modified\par Version, together with at least five of the principal authors of the\par Document (all of its principal authors, if it has fewer than five),\par unless they release you from this requirement.\par C. State on the Title page the name of the publisher of the\par Modified Version, as the publisher.\par D. Preserve all the copyright notices of the Document.\par E. Add an appropriate copyright notice for your modifications\par adjacent to the other copyright notices.\par F. Include, immediately after the copyright notices, a license notice\par giving the public permission to use the Modified Version under the\par terms of this License, in the form shown in the Addendum below.\par G. Preserve in that license notice the full lists of Invariant Sections\par and required Cover Texts given in the Document\rquote s license notice.\par H. Include an unaltered copy of this License.\par I. Preserve the section Entitled "History", Preserve its Title, and add\par to it an item stating at least the title, year, new authors, and\par publisher of the Modified Version as given on the Title Page. If\par there is no section Entitled "History" in the Document, create one\par stating the title, year, authors, and publisher of the Document as\par given on its Title Page, then add an item describing the Modified\par Version as stated in the previous sentence.\par J. Preserve the network location, if any, given in the Document for\par public access to a Transparent copy of the Document, and likewise\par the network locations given in the Document for previous versions\par it was based on. These may be placed in the "History" section.\par You may omit a network location for a work that was published at\par least four years before the Document itself, or if the original\par publisher of the version it refers to gives permission.\par K. For any section Entitled "Acknowledgements" or "Dedications",\par Preserve the Title of the section, and preserve in the section all\par the substance and tone of each of the contributor acknowledgements\par and/or dedications given therein.\par L. Preserve all the Invariant Sections of the Document,\par unaltered in their text and in their titles. Section numbers\par or the equivalent are not considered part of the section titles.\par M. Delete any section Entitled "Endorsements". Such a section\par may not be included in the Modified Version.\par N. Do not retitle any existing section to be Entitled "Endorsements"\par or to conflict in title with any Invariant Section.\par O. Preserve any Warranty Disclaimers.\par \par If the Modified Version includes new front-matter sections or appendices that qualify as Secondary Sections and contain no material copied from the Document, you may at your option designate some or all of these sections as invariant. To do this, add their titles to the list of Invariant Sections in the Modified Version\rquote s license notice. These titles must be distinct from any other section titles.\par \par You may add a section Entitled "Endorsements", provided it contains nothing but endorsements of your Modified Version by various parties--for example, statements of peer review or that the text has been approved by an organization as the authoritative definition of a standard.\par \par You may add a passage of up to five words as a Front-Cover Text, and a passage of up to 25 words as a Back-Cover Text, to the end of the list of Cover Texts in the Modified Version. Only one passage of Front-Cover Text and one of Back-Cover Text may be added by (or through arrangements made by) any one entity. If the Document already includes a cover text for the same cover, previously added by you or by arrangement made by the same entity you are acting on behalf of, you may not add another; but you may replace the old one, on explicit permission from the previous publisher that added the old one.\par \par The author(s) and publisher(s) of the Document do not by this License give permission to use their names for publicity for or to assert or imply endorsement of any Modified Version.\par \par \par 5. COMBINING DOCUMENTS\par \par You may combine the Document with other documents released under this License, under the terms defined in section 4 above for modified versions, provided that you include in the combination all of the Invariant Sections of all of the original documents, unmodified, and list them all as Invariant Sections of your combined work in its license notice, and that you preserve all their Warranty Disclaimers.\par \par The combined work need only contain one copy of this License, and multiple identical Invariant Sections may be replaced with a single copy. If there are multiple Invariant Sections with the same name but different contents, make the title of each such section unique by adding at the end of it, in parentheses, the name of the original author or publisher of that section if known, or else a unique number. Make the same adjustment to the section titles in the list of Invariant Sections in the license notice of the combined work.\par \par In the combination, you must combine any sections Entitled "History" in the various original documents, forming one section Entitled "History"; likewise combine any sections Entitled "Acknowledgements", and any sections Entitled "Dedications". You must delete all sections Entitled "Endorsements".\par \par \par 6. COLLECTIONS OF DOCUMENTS\par \par You may make a collection consisting of the Document and other documents released under this License, and replace the individual copies of this License in the various documents with a single copy that is included in the collection, provided that you follow the rules of this License for verbatim copying of each of the documents in all other respects.\par \par You may extract a single document from such a collection, and distribute it individually under this License, provided you insert a copy of this License into the extracted document, and follow this License in all other respects regarding verbatim copying of that document.\par \par \par 7. AGGREGATION WITH INDEPENDENT WORKS\par \par A compilation of the Document or its derivatives with other separate and independent documents or works, in or on a volume of a storage or distribution medium, is called an "aggregate" if the copyright resulting from the compilation is not used to limit the legal rights of the compilation\rquote s users beyond what the individual works permit. When the Document is included in an aggregate, this License does not apply to the other works in the aggregate which are not themselves derivative works of the Document.\par \par If the Cover Text requirement of section 3 is applicable to these copies of the Document, then if the Document is less than one half of the entire aggregate, the Document\rquote s Cover Texts may be placed on covers that bracket the Document within the aggregate, or the electronic equivalent of covers if the Document is in electronic form. Otherwise they must appear on printed covers that bracket the whole aggregate.\par \par \par 8. TRANSLATION\par \par Translation is considered a kind of modification, so you may distribute translations of the Document under the terms of section 4. Replacing Invariant Sections with translations requires special permission from their copyright holders, but you may include translations of some or all Invariant Sections in addition to the original versions of these Invariant Sections. You may include a translation of this License, and all the license notices in the Document, and any Warranty Disclaimers, provided that you also include the original English version of this License and the original versions of those notices and disclaimers. In case of a disagreement between the translation and the original version of this License or a notice or disclaimer, the original version will prevail.\par \par If a section in the Document is Entitled "Acknowledgements", "Dedications", or "History", the requirement (section 4) to Preserve its Title (section 1) will typically require changing the actual title.\par \par \par 9. TERMINATION\par \par You may not copy, modify, sublicense, or distribute the Document except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense, or distribute it is void, and will automatically terminate your rights under this License.\par \par However, if you cease all violation of this License, then your license from a particular copyright holder is reinstated (a) provisionally, unless and until the copyright holder explicitly and finally terminates your license, and (b) permanently, if the copyright holder fails to notify you of the violation by some reasonable means prior to 60 days after the cessation.\par \par Moreover, your license from a particular copyright holder is reinstated permanently if the copyright holder notifies you of the violation by some reasonable means, this is the first time you have received notice of violation of this License (for any work) from that copyright holder, and you cure the violation prior to 30 days after your receipt of the notice.\par \par Termination of your rights under this section does not terminate the licenses of parties who have received copies or rights from you under this License. If your rights have been terminated and not permanently reinstated, receipt of a copy of some or all of the same material does not give you any rights to use it.\par \par \par 10. FUTURE REVISIONS OF THIS LICENSE\par \par The Free Software Foundation may publish new, revised versions of the GNU Free Documentation License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. See http://www.gnu.org/copyleft/.\par \par Each version of the License is given a distinguishing version number. If the Document specifies that a particular numbered version of this License "or any later version" applies to it, you have the option of following the terms and conditions either of that specified version or of any later version that has been published (not as a draft) by the Free Software Foundation. If the Document does not specify a version number of this License, you may choose any version ever published (not as a draft) by the Free Software Foundation. If the Document specifies that a proxy can decide which future versions of this License can be used, that proxy\rquote s public statement of acceptance of a version permanently authorizes you to choose that version for the Document.\par \par 11. RELICENSING\par \par "Massive Multiauthor Collaboration Site" (or "MMC Site") means any World Wide Web server that publishes copyrightable works and also provides prominent facilities for anybody to edit those works. A public wiki that anybody can edit is an example of such a server. A "Massive Multiauthor Collaboration" (or "MMC") contained in the site means any set of copyrightable works thus published on the MMC site.\par \par "CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0 license published by Creative Commons Corporation, a not-for-profit corporation with a principal place of business in San Francisco, California, as well as future copyleft versions of that license published by that same organization.\par \par "Incorporate" means to publish or republish a Document, in whole or in part, as part of another Document.\par \par An MMC is "eligible for relicensing" if it is licensed under this License, and if all works that were first published under this License somewhere other than this MMC, and subsequently incorporated in whole or in part into the MMC, (1) had no cover texts or invariant sections, and (2) were thus incorporated prior to November 1, 2008.\par \par The operator of an MMC Site may republish an MMC contained in the site under CC-BY-SA on the same site at any time before August 1, 2009, provided the MMC is eligible for relicensing.\par \par \par ADDENDUM: How to use this License for your documents\par \par To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page:\par \par Copyright (c) YEAR YOUR NAME.\par Permission is granted to copy, distribute and/or modify this document\par under the terms of the GNU Free Documentation License, Version 1.3\par or any later version published by the Free Software Foundation;\par with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.\par A copy of the license is included in the section entitled "GNU\par Free Documentation License".\par \par If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the "with...Texts." line with this:\par \par with the Invariant Sections being LIST THEIR TITLES, with the\par Front-Cover Texts being LIST, and with the Back-Cover Texts being LIST.\par \par If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation.\par \par If your document contains nontrivial examples of program code, we recommend releasing these examples in parallel under your choice of free software license, such as the GNU General Public License, to permit their use in free software.\par }trunk/Resources/COPYING.rtfd/meditate-tiny.jpg0000777000076400007640000001070212734077052021052 0ustar germangermanJFIFHHCreated with The GIMPC    $.' ",#(7),01444'9=82<.342C  2!!22222222222222222222222222222222222222222222222222"F!1AQaq"#2RbBr$45CSTt)!1AQ"2aq ?iJP R)@+xd2~wMeo8#'W}`\kkEk{$gI>4%,e܉*NmQ;O e;micƧ/B{dKKA‡++8 ug8w=yWld\]-HZR;ׂ/%gE&UA 7Pȭ)?[_`^XSvmJRQ*v^klE}S(rQݔsJ̏LzֵoBCDHm8gζkv>e^U)Jc()JJRR()\ ؊8%#J)O o;lɚߴӝT3@ScdGٺʮ|g.e=Х [k #'K` DHfBֿ`;bcTSmO'@iEcNw'Z"ZnV8onJc Ce ܏3{ oD "2Ү^)L%D'VmJe J;G_\ZM)rRJSKY,h튯%Mv4RwH[2JyqW bӎ?y7pbBРdr JXnviJ^tn{.}TN};k6C=EI }FD%(Yyo,!?1JjC)}Y->]mҙyIT5g*8+$ƫsCQSw^޿JbNYm`HnCנ+e|rRYO, Z߇gUn^e0)$-8y'~mېGpBo~?¤dAE #XJd66p4,d-IN<tn Pi)Q;ν!8O4I;zt[{jq46)aĀ0@:t9th[`#n\=hK+ =o/$pOT)^1QJ1v)JV-j BFTetg|5 Hi:@}%CHP#qZ{3%t&S`}~dzL#M]#*$ zbVӓ][ δ$doR@+zrr}N<^ob+e6cPH<{ѿ ʳW\+[`QKX^-ˎTm`).`@ 5 .kp2 !E>ZT)@)JP 1|8 s% RPH+RIJφN9r-*R)RPR()JJRR()JJRR(trunk/English.lproj/dynamicsMessages.plist0000777000076400007640000000220712734077054020650 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n There are forces that isn't applied to objects. \n", "\n There are forces that are applied at more than one object. \n", "\n There is a reference to an object that don't exist. \n", "\n The system is undetermined. \n", "\n The collision between those objects isn't allowed. \n", "\n Object not allowed in the element Momentum. \n", "\n Object not allowed in the element Power. \n", "\n There are objects without applied forces. \n", "\n Some objects have applied forces that not correspond. \n", "\n State = %s. \n", "\n WARNING: Check that the sense of friction forces is opposite of the movement sense (when correspond). \n", "\n Object not allowed in the element Relative motion. \n", "\n The data of a block is relative to an invalid object. \n", "\n Some elements Power, Momentum, Collision and/or Relative motion don't have assigned an object. \n", "\n A name is duplicated. \n", "\n The movement of the block is not relative to another block. \n", "\n The elements Momentum, Energy and Power can not be used with blocks whose motion is relative. \n" )trunk/English.lproj/staticsMessages.plist0000777000076400007640000000064512734077055020520 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n There are forces that isn't applied to objects. \n", "\n There are forces that are applied at more than one object. \n", "\n The system is undetermined. \n", "\n There are objects without applied forces. \n", "\n Some objects have applied forces that not correspond. \n", "\n State = %s. \n", "\n Both data at element Angles must be unknowns. \n" ) trunk/English.lproj/kinematicsCircularMessages.plist0000777000076400007640000000202212734077055022651 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n There is a reference to an object that don't exist. \n", "\n The system is undetermined. \n", "\n State = %s. \n", "\n Some elements (Angular velocity, Angular acceleration, Total acceleration, Frequency...) don't have assigned an object. \n", "\n The center of rotation of a mobile can't be another mobile. \n", "\n The elements Angular velocity and Angular acceleration only can contain elements Mobile with circular motion. \n", "\n The elements Total acceleration, Frequency, Period or Number of laps, can't contain elements Center of rotation. \n", "\n The elements Distance can't contain elements Center of rotation. \n", "\n The elements Lenght of arc can't contain elements Center of rotation. \n", "\n The elements Coordinate can't contain elements Center of rotation. \n", "\n The combination of elements Mobile with circular motion and Center of rotation, or two elements Center of rotation, isn't allowed in the elements Relative velocity. \n" ) trunk/English.lproj/Localizable.strings~0000777000076400007640000006251512734077065020340 0ustar germangerman/*** English.lproj/Localizable.strings updated by make_strings 2015-04-16 00:32:08 -0600 add comments above this one ***/ /*** Keys found in multiple places ***/ /* File: FLCalorimetry.m:363 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:699 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:834 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:1601 */ /* Flag: untranslated */ /* File: FLDynamics.m:254 */ /* Flag: untranslated */ /* File: FLDynamics.m:600 */ /* Flag: untranslated */ /* File: FLDynamics.m:1017 */ /* Flag: untranslated */ /* File: FLDynamics.m:1438 */ /* Flag: untranslated */ /* File: FLDynamics.m:2089 */ /* Flag: untranslated */ /* File: FLDynamics.m:2353 */ /* Flag: untranslated */ /* File: FLDynamics.m:2623 */ /* Flag: untranslated */ /* File: FLDynamics.m:2655 */ /* Flag: untranslated */ /* File: FLDynamics.m:2919 */ /* Flag: untranslated */ /* File: FLDynamics.m:3141 */ /* Flag: untranslated */ /* File: FLDynamics.m:4058 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4672 */ /* Flag: untranslated */ /* File: FLKinematics.m:86 */ /* Flag: untranslated */ /* File: FLKinematics.m:735 */ /* Flag: untranslated */ /* File: FLKinematics.m:897 */ /* Flag: untranslated */ /* File: FLKinematics.m:1115 */ /* Flag: untranslated */ /* File: FLKinematics.m:1251 */ /* Flag: untranslated */ /* File: FLKinematics.m:2042 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:315 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:398 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:491 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:705 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:882 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:939 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1125 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1287 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1313 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1422 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2281 */ /* Flag: untranslated */ /* File: FLStatics.m:1550 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1585 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:109 */ /* Flag: untranslated */ /* File: ObjectData.m:796 */ /* Flag: untranslated */ /* File: ObjectData.m:806 */ /* Flag: untranslated */ /* File: ObjectData.m:817 */ /* Flag: untranslated */ /* File: ObjectData.m:828 */ /* Flag: untranslated */ /* File: ObjectData.m:837 */ /* Flag: untranslated */ /* File: ObjectData.m:846 */ /* Flag: untranslated */ /* File: ObjectData.m:855 */ /* Flag: untranslated */ /* File: ObjectData.m:864 */ /* Flag: untranslated */ /* File: ObjectData.m:873 */ /* Flag: untranslated */ /* File: ObjectData.m:899 */ /* Flag: untranslated */ /* File: ObjectData.m:916 */ /* Flag: untranslated */ /* File: ObjectData.m:947 */ /* Flag: untranslated */ /* File: ObjectData.m:1012 */ /* Flag: untranslated */ /* File: ObjectData.m:1021 */ /* Flag: untranslated */ /* File: ObjectData.m:1030 */ /* Flag: untranslated */ /* File: ObjectData.m:1040 */ /* Flag: untranslated */ /* File: ObjectData.m:1050 */ /* Flag: untranslated */ /* File: ObjectData.m:1059 */ /* Flag: untranslated */ /* File: ObjectData.m:1101 */ /* Flag: untranslated */ /* File: ObjectData.m:1186 */ /* Flag: untranslated */ /* File: ObjectData.m:1222 */ /* Flag: untranslated */ /* File: ObjectData.m:1231 */ /* Flag: untranslated */ /* File: ObjectData.m:1240 */ /* Flag: untranslated */ /* File: ObjectData.m:1309 */ /* Flag: untranslated */ /* File: ObjectData.m:1320 */ /* Flag: untranslated */ /* File: ObjectData.m:1376 */ /* Flag: untranslated */ /* File: ObjectData.m:1429 */ /* Flag: untranslated */ /* File: ObjectData.m:1438 */ /* Flag: untranslated */ /* File: ObjectData.m:1511 */ /* Flag: untranslated */ /* File: ObjectData.m:1546 */ /* Flag: untranslated */ /* File: ObjectData.m:1575 */ /* Flag: untranslated */ /* File: ObjectData.m:1582 */ /* Flag: untranslated */ /* File: ObjectData.m:1591 */ /* Flag: untranslated */ /* File: ObjectData.m:1600 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ /* File: ObjectData.m:1674 */ /* Flag: untranslated */ /* File: ObjectData.m:1714 */ /* Flag: untranslated */ /* File: ObjectData.m:1751 */ /* Flag: untranslated */ /* File: ObjectData.m:1800 */ /* Flag: untranslated */ /* File: ObjectData.m:1809 */ /* Flag: untranslated */ /* File: ObjectData.m:1818 */ /* Flag: untranslated */ /* File: ObjectData.m:1827 */ /* Flag: untranslated */ "Name" = "Name"; /* File: FLDynamicsCircularMotion.m:4674 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:111 */ /* Flag: untranslated */ /* File: ObjectData.m:1609 */ /* Flag: untranslated */ /* File: ObjectData.m:1617 */ /* Flag: untranslated */ /* File: ObjectData.m:1625 */ /* Flag: untranslated */ /* File: ObjectData.m:1760 */ /* Flag: untranslated */ /* File: ObjectData.m:1836 */ /* Flag: untranslated */ "System i" = "System i"; /* File: FLDynamicsCircularMotion.m:4675 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:112 */ /* Flag: untranslated */ /* File: ObjectData.m:1609 */ /* Flag: untranslated */ /* File: ObjectData.m:1617 */ /* Flag: untranslated */ /* File: ObjectData.m:1625 */ /* Flag: untranslated */ /* File: ObjectData.m:1760 */ /* Flag: untranslated */ /* File: ObjectData.m:1836 */ /* Flag: untranslated */ "System f" = "System f"; /* File: FLCalorimetry.m:1602 */ /* Flag: untranslated */ /* File: FLDynamics.m:4059 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4676 */ /* Flag: untranslated */ /* File: FLKinematics.m:2040 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2279 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1240 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ "Object 1" = "Object 1"; /* File: FLCalorimetry.m:1603 */ /* Flag: untranslated */ /* File: FLDynamics.m:4060 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4677 */ /* Flag: untranslated */ /* File: FLKinematics.m:2041 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2280 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 2" = "Object 2"; /* File: FLCalorimetry.m:1604 */ /* Flag: untranslated */ /* File: FLDynamics.m:4061 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4678 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 3" = "Object 3"; /* File: FLCalorimetry.m:1605 */ /* Flag: untranslated */ /* File: FLDynamics.m:4062 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4679 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 4" = "Object 4"; /* File: FLDynamicsCircularMotion.m:4539 */ /* Flag: untranslated */ /* File: FLKinematics.m:1965 */ /* Flag: untranslated */ "Status = %s \n" = "Status = %s \n"; /* File: FLDynamicsCircularMotion.m:4673 */ /* Flag: untranslated */ /* File: ObjectData.m:1769 */ /* Flag: untranslated */ "System" = "System"; /* File: FLDynamicsCircularMotion.m:4681 */ /* Flag: untranslated */ /* File: ObjectData.m:1777 */ /* Flag: untranslated */ "Center" = "Center"; /* File: FLCalorimetry.m:1606 */ /* Flag: untranslated */ /* File: ObjectData.m:1242 */ /* Flag: untranslated */ "Object 5" = "Object 5"; /* File: FLCalorimetry.m:1607 */ /* Flag: untranslated */ /* File: ObjectData.m:1223 */ /* Flag: untranslated */ /* File: ObjectData.m:1232 */ /* Flag: untranslated */ "Sense" = "Sense"; /* File: FLDynamics.m:4063 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4680 */ /* Flag: untranslated */ /* File: FLKinematics.m:2039 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2278 */ /* Flag: untranslated */ /* File: ObjectData.m:796 */ /* Flag: untranslated */ /* File: ObjectData.m:846 */ /* Flag: untranslated */ /* File: ObjectData.m:855 */ /* Flag: untranslated */ /* File: ObjectData.m:1135 */ /* Flag: untranslated */ /* File: ObjectData.m:1144 */ /* Flag: untranslated */ /* File: ObjectData.m:1151 */ /* Flag: untranslated */ /* File: ObjectData.m:1331 */ /* Flag: untranslated */ /* File: ObjectData.m:1339 */ /* Flag: untranslated */ /* File: ObjectData.m:1346 */ /* Flag: untranslated */ /* File: ObjectData.m:1355 */ /* Flag: untranslated */ /* File: ObjectData.m:1362 */ /* Flag: untranslated */ /* File: ObjectData.m:1369 */ /* Flag: untranslated */ /* File: ObjectData.m:1391 */ /* Flag: untranslated */ /* File: ObjectData.m:1398 */ /* Flag: untranslated */ /* File: ObjectData.m:1666 */ /* Flag: untranslated */ /* File: ObjectData.m:1723 */ /* Flag: untranslated */ /* File: ObjectData.m:1730 */ /* Flag: untranslated */ /* File: ObjectData.m:1737 */ /* Flag: untranslated */ /* File: ObjectData.m:1744 */ /* Flag: untranslated */ /* File: ObjectData.m:1776 */ /* Flag: untranslated */ "Object" = "Object"; /* File: FLDynamics.m:4132 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4752 */ /* Flag: untranslated */ /* File: FLKinematics.m:2124 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2361 */ /* Flag: untranslated */ /* File: FLSolver.m:189 */ /* Flag: untranslated */ /* File: FLStatics.m:1619 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1660 */ /* Flag: untranslated */ "degrees" = "degrees"; /* File: FLDynamics.m:4064 */ /* Flag: untranslated */ /* File: ObjectData.m:1041 */ /* Flag: untranslated */ /* File: ObjectData.m:1051 */ /* Flag: untranslated */ "Relative to" = "Relative to"; /* File: FLStaticsRigidBodies.m:1283 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1319 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1344 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1400 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1436 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1461 */ /* Flag: untranslated */ "[compression] " = "[compression] "; /* File: FLStaticsRigidBodies.m:1289 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1325 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1350 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1394 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1430 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1455 */ /* Flag: untranslated */ "[tension] " = "[tension] "; /* File: FLStaticsRigidBodies.m:1586 */ /* Flag: untranslated */ /* File: ObjectData.m:1422 */ /* Flag: untranslated */ "Points" = "Points"; /* File: FLStaticsRigidBodies.m:1587 */ /* Flag: untranslated */ /* File: ObjectData.m:1454 */ /* Flag: untranslated */ "Beam" = "Beam"; /* File: FLStaticsRigidBodies.m:1588 */ /* Flag: untranslated */ /* File: ObjectData.m:1461 */ /* Flag: untranslated */ "Solid" = "Solid"; /* File: FLStaticsRigidBodies.m:1589 */ /* Flag: untranslated */ /* File: ObjectData.m:1553 */ /* Flag: untranslated */ "Truss" = "Truss"; /* File: HelpPanelController.m:51 */ /* Flag: untranslated */ /* File: HelpPanelController.m:223 */ /* Flag: untranslated */ "Introduction" = "Introduction"; /* File: HelpPanelController.m:57 */ /* Flag: untranslated */ /* File: HelpPanelController.m:166 */ /* Flag: untranslated */ "Linear Kinematics of Particles" = "Linear Kinematics of Particles"; /* File: HelpPanelController.m:63 */ /* Flag: untranslated */ /* File: HelpPanelController.m:168 */ /* Flag: untranslated */ "Examples Linear Kinematics" = "Examples Linear Kinematics"; /* File: HelpPanelController.m:69 */ /* Flag: untranslated */ /* File: HelpPanelController.m:170 */ /* Flag: untranslated */ "Kinematics of Circular Motion of Particles" = "Kinematics of Circular Motion of Particles"; /* File: HelpPanelController.m:75 */ /* Flag: untranslated */ /* File: HelpPanelController.m:172 */ /* Flag: untranslated */ "Examples Circular Motion Kinematics" = "Examples Circular Motion Kinematics"; /* File: HelpPanelController.m:81 */ /* Flag: untranslated */ /* File: HelpPanelController.m:182 */ /* Flag: untranslated */ "Statics of Particles" = "Statics of Particles"; /* File: HelpPanelController.m:87 */ /* Flag: untranslated */ /* File: HelpPanelController.m:184 */ /* Flag: untranslated */ "Examples Statics of Particles" = "Examples Statics of Particles"; /* File: HelpPanelController.m:93 */ /* Flag: untranslated */ /* File: HelpPanelController.m:186 */ /* Flag: untranslated */ "Statics of Rigid Bodies" = "Statics of Rigid Bodies"; /* File: HelpPanelController.m:99 */ /* Flag: untranslated */ /* File: HelpPanelController.m:188 */ /* Flag: untranslated */ "Examples Statics of Rigid Bodies" = "Examples Statics of Rigid Bodies"; /* File: HelpPanelController.m:105 */ /* Flag: untranslated */ /* File: HelpPanelController.m:198 */ /* Flag: untranslated */ "Linear Dynamics of Particles" = "Linear Dynamics of Particles"; /* File: HelpPanelController.m:111 */ /* Flag: untranslated */ /* File: HelpPanelController.m:200 */ /* Flag: untranslated */ "Examples Linear Dynamics" = "Examples Linear Dynamics"; /* File: HelpPanelController.m:117 */ /* Flag: untranslated */ /* File: HelpPanelController.m:202 */ /* Flag: untranslated */ "Circular Dynamics of particles" = "Circular Dynamics of particles"; /* File: HelpPanelController.m:123 */ /* Flag: untranslated */ /* File: HelpPanelController.m:204 */ /* Flag: untranslated */ "Examples Circular Dynamics" = "Examples Circular Dynamics"; /* File: HelpPanelController.m:129 */ /* Flag: untranslated */ /* File: HelpPanelController.m:214 */ /* Flag: untranslated */ "Dilatation, Ideal gas and Calorimetry" = "Dilatation, Ideal gas and Calorimetry"; /* File: HelpPanelController.m:135 */ /* Flag: untranslated */ /* File: HelpPanelController.m:216 */ /* Flag: untranslated */ "Examples of Dilation, Ideal gas ..." = "Examples of Dilation, Ideal gas ..."; /* File: HelpPanelController.m:141 */ /* Flag: untranslated */ /* File: HelpPanelController.m:243 */ /* Flag: untranslated */ "GNU Free Documentation License" = "GNU Free Documentation License"; /* File: HelpPanelController.m:161 */ /* Flag: untranslated */ /* File: HelpPanelController.m:227 */ /* Flag: untranslated */ /* File: HelpPanelController.m:251 */ /* Flag: untranslated */ /* File: HelpPanelController.m:269 */ /* Flag: untranslated */ "Kinematics" = "Kinematics"; /* File: HelpPanelController.m:177 */ /* Flag: untranslated */ /* File: HelpPanelController.m:231 */ /* Flag: untranslated */ /* File: HelpPanelController.m:252 */ /* Flag: untranslated */ /* File: HelpPanelController.m:273 */ /* Flag: untranslated */ "Statics" = "Statics"; /* File: HelpPanelController.m:193 */ /* Flag: untranslated */ /* File: HelpPanelController.m:235 */ /* Flag: untranslated */ /* File: HelpPanelController.m:253 */ /* Flag: untranslated */ /* File: HelpPanelController.m:277 */ /* Flag: untranslated */ "Dynamics" = "Dynamics"; /* File: HelpPanelController.m:209 */ /* Flag: untranslated */ /* File: HelpPanelController.m:239 */ /* Flag: untranslated */ /* File: HelpPanelController.m:254 */ /* Flag: untranslated */ /* File: HelpPanelController.m:281 */ /* Flag: untranslated */ "Thermodynamics" = "Thermodynamics"; /* File: FLThermodynamics.m:110 */ /* Flag: untranslated */ /* File: ObjectData.m:1837 */ /* Flag: untranslated */ "Substance" = "Substance"; /* File: TablesManager.m:45 */ /* Flag: untranslated */ /* File: TablesManager.m:117 */ /* Flag: untranslated */ "pressure" = "Pressure"; /* File: TablesManager.m:49 */ /* Flag: untranslated */ /* File: TablesManager.m:121 */ /* Flag: untranslated */ "temperature" = "Temperature"; /* File: TablesManager.m:53 */ /* Flag: untranslated */ /* File: TablesManager.m:125 */ /* Flag: untranslated */ /* File: TablesManager.m:567 */ /* Flag: untranslated */ "density" = "Density"; /* File: TablesManager.m:57 */ /* Flag: untranslated */ /* File: TablesManager.m:129 */ /* Flag: untranslated */ /* File: TablesManager.m:518 */ /* Flag: untranslated */ /* File: TablesManager.m:523 */ /* Flag: untranslated */ /* File: TablesManager.m:527 */ /* Flag: untranslated */ /* File: TablesManager.m:546 */ /* Flag: untranslated */ /* File: TablesManager.m:551 */ /* Flag: untranslated */ /* File: TablesManager.m:555 */ /* Flag: untranslated */ /* File: TablesManager.m:569 */ /* Flag: untranslated */ /* File: TablesManager.m:571 */ /* Flag: untranslated */ "density-l" = "Density L."; /* File: TablesManager.m:61 */ /* Flag: untranslated */ /* File: TablesManager.m:133 */ /* Flag: untranslated */ /* File: TablesManager.m:532 */ /* Flag: untranslated */ /* File: TablesManager.m:537 */ /* Flag: untranslated */ /* File: TablesManager.m:541 */ /* Flag: untranslated */ /* File: TablesManager.m:547 */ /* Flag: untranslated */ /* File: TablesManager.m:553 */ /* Flag: untranslated */ /* File: TablesManager.m:574 */ /* Flag: untranslated */ /* File: TablesManager.m:576 */ /* Flag: untranslated */ "density-v" = "Density V."; /* File: TablesManager.m:69 */ /* Flag: untranslated */ /* File: TablesManager.m:141 */ /* Flag: untranslated */ /* File: TablesManager.m:586 */ /* Flag: untranslated */ /* File: TablesManager.m:591 */ /* Flag: untranslated */ /* File: TablesManager.m:595 */ /* Flag: untranslated */ /* File: TablesManager.m:614 */ /* Flag: untranslated */ /* File: TablesManager.m:619 */ /* Flag: untranslated */ /* File: TablesManager.m:623 */ /* Flag: untranslated */ /* File: TablesManager.m:637 */ /* Flag: untranslated */ /* File: TablesManager.m:639 */ /* Flag: untranslated */ "volume-l" = "Volume L."; /* File: TablesManager.m:73 */ /* Flag: untranslated */ /* File: TablesManager.m:145 */ /* Flag: untranslated */ /* File: TablesManager.m:600 */ /* Flag: untranslated */ /* File: TablesManager.m:605 */ /* Flag: untranslated */ /* File: TablesManager.m:609 */ /* Flag: untranslated */ /* File: TablesManager.m:615 */ /* Flag: untranslated */ /* File: TablesManager.m:621 */ /* Flag: untranslated */ /* File: TablesManager.m:642 */ /* Flag: untranslated */ /* File: TablesManager.m:644 */ /* Flag: untranslated */ "volume-v" = "Volume V."; /* File: TablesManager.m:77 */ /* Flag: untranslated */ /* File: TablesManager.m:149 */ /* Flag: untranslated */ /* File: TablesManager.m:703 */ /* Flag: untranslated */ "enthalpy" = "Enthalpy"; /* File: TablesManager.m:81 */ /* Flag: untranslated */ /* File: TablesManager.m:153 */ /* Flag: untranslated */ /* File: TablesManager.m:654 */ /* Flag: untranslated */ /* File: TablesManager.m:659 */ /* Flag: untranslated */ /* File: TablesManager.m:663 */ /* Flag: untranslated */ /* File: TablesManager.m:682 */ /* Flag: untranslated */ /* File: TablesManager.m:687 */ /* Flag: untranslated */ /* File: TablesManager.m:691 */ /* Flag: untranslated */ /* File: TablesManager.m:705 */ /* Flag: untranslated */ /* File: TablesManager.m:707 */ /* Flag: untranslated */ "enthalpy-l" = "Enthalpy L."; /* File: TablesManager.m:85 */ /* Flag: untranslated */ /* File: TablesManager.m:157 */ /* Flag: untranslated */ /* File: TablesManager.m:668 */ /* Flag: untranslated */ /* File: TablesManager.m:673 */ /* Flag: untranslated */ /* File: TablesManager.m:677 */ /* Flag: untranslated */ /* File: TablesManager.m:683 */ /* Flag: untranslated */ /* File: TablesManager.m:689 */ /* Flag: untranslated */ /* File: TablesManager.m:710 */ /* Flag: untranslated */ /* File: TablesManager.m:712 */ /* Flag: untranslated */ "enthalpy-v" = "Enthalpy V."; /* File: TablesManager.m:89 */ /* Flag: untranslated */ /* File: TablesManager.m:161 */ /* Flag: untranslated */ /* File: TablesManager.m:655 */ /* Flag: untranslated */ /* File: TablesManager.m:661 */ /* Flag: untranslated */ /* File: TablesManager.m:669 */ /* Flag: untranslated */ /* File: TablesManager.m:675 */ /* Flag: untranslated */ /* File: TablesManager.m:715 */ /* Flag: untranslated */ /* File: TablesManager.m:717 */ /* Flag: untranslated */ "enthalpy-delta" = "Enthalpy \U0394"; /* File: TablesManager.m:93 */ /* Flag: untranslated */ /* File: TablesManager.m:165 */ /* Flag: untranslated */ /* File: TablesManager.m:771 */ /* Flag: untranslated */ "entropy" = "Entropy"; /* File: TablesManager.m:97 */ /* Flag: untranslated */ /* File: TablesManager.m:169 */ /* Flag: untranslated */ /* File: TablesManager.m:722 */ /* Flag: untranslated */ /* File: TablesManager.m:727 */ /* Flag: untranslated */ /* File: TablesManager.m:731 */ /* Flag: untranslated */ /* File: TablesManager.m:750 */ /* Flag: untranslated */ /* File: TablesManager.m:755 */ /* Flag: untranslated */ /* File: TablesManager.m:759 */ /* Flag: untranslated */ /* File: TablesManager.m:773 */ /* Flag: untranslated */ /* File: TablesManager.m:775 */ /* Flag: untranslated */ "entropy-l" = "Entropy L."; /* File: TablesManager.m:101 */ /* Flag: untranslated */ /* File: TablesManager.m:173 */ /* Flag: untranslated */ /* File: TablesManager.m:736 */ /* Flag: untranslated */ /* File: TablesManager.m:741 */ /* Flag: untranslated */ /* File: TablesManager.m:745 */ /* Flag: untranslated */ /* File: TablesManager.m:751 */ /* Flag: untranslated */ /* File: TablesManager.m:757 */ /* Flag: untranslated */ /* File: TablesManager.m:778 */ /* Flag: untranslated */ /* File: TablesManager.m:780 */ /* Flag: untranslated */ "entropy-v" = "Entropy V."; /* File: TablesManager.m:105 */ /* Flag: untranslated */ /* File: TablesManager.m:177 */ /* Flag: untranslated */ /* File: TablesManager.m:723 */ /* Flag: untranslated */ /* File: TablesManager.m:729 */ /* Flag: untranslated */ /* File: TablesManager.m:737 */ /* Flag: untranslated */ /* File: TablesManager.m:743 */ /* Flag: untranslated */ /* File: TablesManager.m:783 */ /* Flag: untranslated */ /* File: TablesManager.m:785 */ /* Flag: untranslated */ "entropy-delta" = "Entropy \U0394"; /* File: TablesManager.m:65 */ /* Flag: untranslated */ /* File: TablesManager.m:137 */ /* Flag: untranslated */ /* File: TablesManager.m:635 */ /* Flag: untranslated */ "volume" = "Volume"; /* File: TablesManager.m:519 */ /* Flag: untranslated */ /* File: TablesManager.m:525 */ /* Flag: untranslated */ /* File: TablesManager.m:533 */ /* Flag: untranslated */ /* File: TablesManager.m:539 */ /* Flag: untranslated */ /* File: TablesManager.m:579 */ /* Flag: untranslated */ /* File: TablesManager.m:581 */ /* Flag: untranslated */ "density-delta" = "Density \U0394"; /* File: TablesManager.m:563 */ /* Flag: untranslated */ /* File: TablesManager.m:631 */ /* Flag: untranslated */ /* File: TablesManager.m:699 */ /* Flag: untranslated */ /* File: TablesManager.m:767 */ /* Flag: untranslated */ /* File: TablesManager.m:835 */ /* Flag: untranslated */ "No available" = "No available"; /* File: TablesManager.m:587 */ /* Flag: untranslated */ /* File: TablesManager.m:593 */ /* Flag: untranslated */ /* File: TablesManager.m:601 */ /* Flag: untranslated */ /* File: TablesManager.m:607 */ /* Flag: untranslated */ /* File: TablesManager.m:647 */ /* Flag: untranslated */ /* File: TablesManager.m:649 */ /* Flag: untranslated */ "volume-delta" = "Volume \U0394"; /* File: TablesManager.m:790 */ /* Flag: untranslated */ /* File: TablesManager.m:795 */ /* Flag: untranslated */ /* File: TablesManager.m:799 */ /* Flag: untranslated */ /* File: TablesManager.m:818 */ /* Flag: untranslated */ /* File: TablesManager.m:823 */ /* Flag: untranslated */ /* File: TablesManager.m:827 */ /* Flag: untranslated */ /* File: TablesManager.m:841 */ /* Flag: untranslated */ /* File: TablesManager.m:843 */ /* Flag: untranslated */ "energy-l" = "Energy L."; /* File: TablesManager.m:791 */ /* Flag: untranslated */ /* File: TablesManager.m:797 */ /* Flag: untranslated */ /* File: TablesManager.m:805 */ /* Flag: untranslated */ /* File: TablesManager.m:811 */ /* Flag: untranslated */ /* File: TablesManager.m:851 */ /* Flag: untranslated */ /* File: TablesManager.m:853 */ /* Flag: untranslated */ "energy-delta" = "Energy \U0394"; /* File: TablesManager.m:804 */ /* Flag: untranslated */ /* File: TablesManager.m:809 */ /* Flag: untranslated */ /* File: TablesManager.m:813 */ /* Flag: untranslated */ /* File: TablesManager.m:819 */ /* Flag: untranslated */ /* File: TablesManager.m:825 */ /* Flag: untranslated */ /* File: TablesManager.m:846 */ /* Flag: untranslated */ /* File: TablesManager.m:848 */ /* Flag: untranslated */ "energy-v" = "Energy V."; /*** Unmatched/untranslated keys ***/ /* File: ObjectData.m:1970 */ /* Flag: untranslated */ "Factors" = "Factors"; /* File: PropertiesWindowController.m:74 */ /* Flag: untranslated */ "The provided data is out of range. \n" = "The provided data is out of range. \n"; /* File: TablesManager.m:839 */ /* Flag: untranslated */ "energy" = "Energy"; trunk/English.lproj/kinematicsMessages.plist0000777000076400007640000000036212734077065021172 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n There is a reference to an object that don't exist. \n", "\n The system is undetermined. \n", "\n A name is duplicated. \n", "\n Some element don't have assigned an object. \n" ) trunk/English.lproj/staticsRigidMessages.plist0000777000076400007640000000200412734077065021467 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n There are forces that aren't applied to objects. \n", "\n There are forces that are applied at more than one object. \n", "\n The system is undetermined. \n", "\n There are objects without applied forces. \n", "\n State = %s. \n", "\n There is a solid with duplicated or invalid name. \n", "\n There is an element without name. \n", "\n There isn't solids defined. \n", "\n Some element is assigned to an undefined object. \n", "\n Solids and Beams must have at least one element. Elements Point at least two and Trusses at least three. \n", "\n The elements that conform a solid must be of the same type. \n", "\n Some solids have assigned elements that not correspond. \n", "\n Only one element Resultant can be applied per solid. \n", "\n Only Forces and Beams can be applied to joints. \n", "\n In a joint, not all Forces (or Beams) can be horizontals or verticals. \n", "\n Both data at element Angles must be unknowns. \n" )trunk/English.lproj/calorimetryMessages.plist0000777000076400007640000000233712734077065021401 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n The system is undetermined. \n", "\n There is a reference to an object that don't exist. \n", "\n Some elements Heat isn't applied to objects. \n", "\n Some elements Heat are applied at more than one object. \n", "\n You must establish a time data (or unknown time data) to use flows. \n", "\n The objects at a Calorimeter, can not have elements heat. \n", "\n The simultaneous application of heat (or heat extracted) and heat flows to an object, is not allowed. \n", "\n State = %s. \n", "\n The objects at a Process, can not have elements heat. \n", "\n The elements Process can't contain others elements Process. \n", "\n The elements Process can't contain more than three elements Block, Liquid or Gas. \n", "\n The elements Process can't contain more than two elements Change of state. \n", "\n Verify that the calculated temperature is within the range expected. Otherwise, some process or change never takes place because the energy isn't enough. \n", "\n A name is duplicated. \n", "\n You must applied at least one element Heat at the object. \n", "\n The elements Calorimeter can't contain, in directly way, elements Change of state. \n" )trunk/English.lproj/dynamicsCircularMessages.plist0000777000076400007640000000440312734077065022337 0ustar germangerman( "\n There isn't a conversion to %s. \n", "\n The system is undetermined. \n", "\n Some element Momentum, Energy or Power don't have objects assigned. \n", "\n Some element System don't have name. \n", "\n The elements Inertia only allows one object Initial System or Final System. \n", "\n A name is duplicated. \n", "\n Some element Inertia have a combination that is not allowed. \n", "\n Data in element Angles must be unknowns. \n", "\n Some element Spring don't have name. \n", "\n Some element Center don't have name. \n", "\n Some element System have a combination that is not allowed. \n", "\n Some element Energy have a combination that is not allowed. \n", "\n Some element Power have a combination that is not allowed. \n", "\n Some element Angular momentum have a combination that is not allowed. \n", "\n Some element Absolute Velocity don't have objects assigned. \n", "\n Some element Absolute Velocity have a combination that is not allowed. \n", "\n There is a reference to an object that doesn't exist. \n", "\n Some objects have applied forces that not correspond. \n", "\n The applied forces to a Mobile with Linear Movement or Perpendicular Circular Movement can't be only verticals or horizontals. \n", "\n Only one force can be applied to objects Mobile with Circular Movement and Polar Circular Movement. \n", "\n There are forces that aren't applied to objects. \n", "\n There are forces that are applied at more than one object. \n", "\n An object must be assigned in elements Angular velocity and Centripetal/Angular/Total/Maximum acceleration. \n", "\n The elements Angular Velocity and Centripetal Acceleration only allows objects Mobile with Circular Movement, Perpendicular Circular Movement and Polar Circular Movement. \n", "\n The elements Total Acceleration, Angular Acceleration and Maximum Acceleration only allows objects Mobile with Circular Perpendicular Movement. \n", "\n Some element Linear momentum have a combination that is not allowed. \n", "\n There is an element Spring that don't have applied forces. \n", "\n There is an element Mobile with Perpendicular Circular Movement that don't have applied forces. \n", "\n An object must be assigned in elements Inertia. \n" )trunk/English.lproj/thermodynamics.plist0000777000076400007640000000165513421451232020371 0ustar germangerman( "\n Some elements don't have names assigned. \n", "\n A name is duplicated. \n", "\n Elements Change should have elements assigned. \n", "\n The system is undetermined. \n", "\n There is a reference to an object that don't exist. \n", "\n The entry 'n' at ideal gas change can't be an unknown. \n", "\n Some object have applied more elements than the allowed. \n", "\n Some object have assigned elements that not correspond. \n", "\n The elements Adiabatic process and Isochoric process can't have applied three elements. \n", "\n Heat elements can't be applied to elements Adiabatic process. \n", "\n Work elements can't be applied to elements Isochoric process. \n", "\n Elements Sensible and Latent heat should have elements assigned. \n", "\n An object not allowed is assigned to some element Sensible or Latent heat. \n", "\n Elements Cycle should have applied 3 elements. \n", "\n \n" ) trunk/English.lproj/logoPanel.tif0000777000076400007640000372060412734077064016734 0ustar germangermanII*^^ ^^^ ^^ ^ ^^ _^^ ^^ ^ _^^ ^ ^^ ^ ^_^^ _ ^ ^^ _ ^ _ ^ ^^^ ^^^_ _^^_^ _ ^^ ^ ^^^___^^^ ^ ^ ^^ ^^ ^_ ^^^_^ _ ^^_ ^ ^^^ ^ ^ ^ ^^ ^^_^ ^^^ ^ _ _ _ ^^^^^^^_ ^^ ^^ _ ^^ ^_ _ ^ ^ ^^^ ^^_ ^ _ ^ _ _^_ _ ^__ ^ ^ _ ^ ^ _ ^ ^_^^_ _ ^ ^^ ^ ^ ^^^^ ^^^_ ^ ^___ ^ ^^^ ^^^^^^_ __^^ ^_ _^^^^ ^ ^ ^^^ _^ _ ^ _^ ^ _^ _ ^ ^^^^_^^ ^ _ ^ _^ ^ _ _ ^ ^_^ ^ ^_ ^ _ ^ _^^^ ^ _^^ ^^^ ^^ ^ ^^^_^ _ _ ^^ ^_^ ^_^^_^^^_ _^^_ ^_ ^^ ^ ^_ ^^^ ^ ^^^ ^ ^^_ ^ _^ ^^ ^^ _^ ^ ^ ^_^^^__ _ ^_ _^ ^ ^_^_^^ _ ^_^^ ^_^ ^^^ ^_^^^_^^^ ^^__ ^^_ ^^ ^ _ ^_ _ _ ^ ^^ ^^^^ ^_^^^^ ^^_ ^ _ ^ ^ ^_^^ _^^^ ^ ^_^^^ _ ^ ^ _ ^_^^^^ ^_^ _^ ^_ _ ^^^ ^ _^ ^ ^^^^^ ^^^ _^_ ^_^ ^ _^^ ^ _ ^__ ^ ^ ^^^ __^^__^ ^ ^ ^ _^_ ^_^ ^ ^^ ^ ^_ ^ ^^^^ _^ _^^^ _^^^ ^ _^ __ ^^^ ^^ _ ^_ __^ ^ ^ ^ _^ ^_ ^^_^_ _^^ ^_ ^ ^ _^ ^ ^ ^^ ^_ ^^ ^^ ^^_ _ ^ _^ ^ ^ ^^^^^^__^^ _^_ ^^^ ^_ _ ^^ ^_^^_^^ ^^ ^^_ _ ^ ^^^^_^^ ^^ ^^_ _ ^ ^ __^ _ ^^_ ^ ^_^ _^^ ^ ^ ^ ^ ^^^ _^ _^_^^__^ ^^ _ ^__ ^^ ^^^ ^ ^ ^ ^_^ ^^ ^^_ ^^ _ ^^ ^ ^^ ^ _ _^^_ ^^ _ ^^ ^ ^_ ^ ^^ _ ^ ^ ^_^_^^ __ ^ ^^^ ^ ^^^^_ ^ ^^ ^ ^ _ _^ ^ ^ __ ^ ^^_^^ _ ^^^ _ ^_^^ ^ ^^ ^^ ^ _^ ^ _^^ ^^_^^ ^ ^^^ _^ _^^^ ^^^^ ^ _^ ^^_^_ ^ _ ^ __^ ^ ^^ ^__ ^^ ^ ^ ^_^ _^ ^_^ _ _^^ ^ ^^_^ ^ ^ _^ ___^_ ^ _ ^ _^^^ ^ ^ ^ ^ ^^^__^^ __^ ^__^ ^ _ _^ _ _^ __^^ ^ ^_^_ ^_^^^ _^ ^ ^ _^__ _ ^ _ ^ ___ _^ ^ _ _ ^ _ _ ^ _ __ _ ^^ __ _ _ ^__ ^__ ^__ ^ ^ ^ _ _ _ ^^ __ _ ^ ^ ___ _^_ ^ _ ^ _ _ ^ ^ _ _ _ ^^ _ _ ^__ _^^ ___ _ __ __^ _ ^ _ _ ^ ^ _ _ _ ^^ ___ _ _ __ ^^ ^^__ _ ^ _ ^ _ ^ _ _ ^^ __ _ __ _ _ __ __ _ _ _ _ _ _ _ _ _ _ _ _ __ __ _ _ _ _ _ __ _ __ ____ _ _ _ _ _ `` _ __ _ _ _ _ _ __ __ _ _ _ _ _ _ _ _ ____ _ _ _ _ ___ _ _ __ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ __ _ _ ___ _ _ _ _ _ ` _ ` _ _ _ _ _ ` ` _ ` _ ` _ _ _ _ ` _ _ ` _ _ ` _ _ _ ` _ _ ` ` ` ` _ _ _ _ ` ` _ _ ` ` ` _ ` _ _!` ` _ _ ` _ ` _ ` _ ` ` _ _ ` ` _!_ _ ` _ ` _ _ _ _ _ ` _ _ _ _ _ _ ` ` ` ` _ _ ` _ ` _ _ _ ` ` _ ` _ _ ` ` ` ` _ ` ` _ _ _ _ _ _ _ _ _ _ ` ` ` ` ` ` _ ` ` ` ` ` `!` ` _!` ` _ ` `!_ `!_!` ` ` ` ` `!_!_ ` _!` _ _ ` ` ` _ ` ` ` ` ` _ `!` ` _ ` `!` ` _ ` ` ` _ `!_!` ` ` ` ` ` _ ` ` ` ` ` `!_ ` ` ` _ ` ` _ ` `!` ` ` ` `!` _ ` ` ` ` _!` ` ` ` `!` ` ` ` ` ` ` `!` ` ` ` ` ` ` ` ` ` a ` `!`!` ` `!`!` `!` `!` `!`!` ` a `!`!` ` `!`!`!`!` `!`!`!`!`!a!`!`!a ` ` `!a `!` `!` ` ` `!` ` a ` ` a ` `!`!` a!a a a!a `!a ` a ` ` ` ` ` ` 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ObjectData.m:1051 */ /* Flag: untranslated */ "Relative to" = "Relative to"; /* File: FLStaticsRigidBodies.m:1283 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1319 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1344 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1400 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1436 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1461 */ /* Flag: untranslated */ "[compression] " = "[compression] "; /* File: FLStaticsRigidBodies.m:1289 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1325 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1350 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1394 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1430 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1455 */ /* Flag: untranslated */ "[tension] " = "[tension] "; /* File: FLStaticsRigidBodies.m:1586 */ /* Flag: untranslated */ /* File: 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Linear Kinematics"; /* File: HelpPanelController.m:69 */ /* Flag: untranslated */ /* File: HelpPanelController.m:170 */ /* Flag: untranslated */ "Kinematics of Circular Motion of Particles" = "Kinematics of Circular Motion of Particles"; /* File: HelpPanelController.m:75 */ /* Flag: untranslated */ /* File: HelpPanelController.m:172 */ /* Flag: untranslated */ "Examples Circular Motion Kinematics" = "Examples Circular Motion Kinematics"; /* File: HelpPanelController.m:81 */ /* Flag: untranslated */ /* File: HelpPanelController.m:182 */ /* Flag: untranslated */ "Statics of Particles" = "Statics of Particles"; /* File: HelpPanelController.m:87 */ /* Flag: untranslated */ /* File: HelpPanelController.m:184 */ /* Flag: untranslated */ "Examples Statics of Particles" = "Examples Statics of Particles"; /* File: HelpPanelController.m:93 */ /* Flag: untranslated */ /* File: HelpPanelController.m:186 */ /* Flag: untranslated */ "Statics of Rigid Bodies" = "Statics of Rigid Bodies"; /* File: HelpPanelController.m:99 */ /* Flag: untranslated */ /* File: HelpPanelController.m:188 */ /* Flag: untranslated */ "Examples Statics of Rigid Bodies" = "Examples Statics of Rigid Bodies"; /* File: HelpPanelController.m:105 */ /* Flag: untranslated */ /* File: HelpPanelController.m:198 */ /* Flag: untranslated */ "Linear Dynamics of Particles" = "Linear Dynamics of Particles"; /* File: HelpPanelController.m:111 */ /* Flag: untranslated */ /* File: HelpPanelController.m:200 */ /* Flag: untranslated */ "Examples Linear Dynamics" = "Examples Linear Dynamics"; /* File: HelpPanelController.m:117 */ /* Flag: untranslated */ /* File: HelpPanelController.m:202 */ /* Flag: untranslated */ "Circular Dynamics of particles" = "Circular Dynamics of particles"; /* File: HelpPanelController.m:123 */ /* Flag: untranslated */ /* File: HelpPanelController.m:204 */ /* Flag: untranslated */ "Examples Circular Dynamics" = "Examples Circular Dynamics"; /* File: HelpPanelController.m:129 */ /* Flag: 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Flag: untranslated */ /* File: TablesManager.m:161 */ /* Flag: untranslated */ /* File: TablesManager.m:655 */ /* Flag: untranslated */ /* File: TablesManager.m:661 */ /* Flag: untranslated */ /* File: TablesManager.m:669 */ /* Flag: untranslated */ /* File: TablesManager.m:675 */ /* Flag: untranslated */ /* File: TablesManager.m:715 */ /* Flag: untranslated */ /* File: TablesManager.m:717 */ /* Flag: untranslated */ "enthalpy-delta" = "Enthalpy \U0394"; /* File: TablesManager.m:93 */ /* Flag: untranslated */ /* File: TablesManager.m:165 */ /* Flag: untranslated */ /* File: TablesManager.m:771 */ /* Flag: untranslated */ "entropy" = "Entropy"; /* File: TablesManager.m:97 */ /* Flag: untranslated */ /* File: TablesManager.m:169 */ /* Flag: untranslated */ /* File: TablesManager.m:722 */ /* Flag: untranslated */ /* File: TablesManager.m:727 */ /* Flag: untranslated */ /* File: TablesManager.m:731 */ /* Flag: untranslated */ /* File: TablesManager.m:750 */ /* Flag: untranslated */ /* File: TablesManager.m:755 */ /* Flag: untranslated */ /* File: TablesManager.m:759 */ /* Flag: untranslated */ /* File: TablesManager.m:773 */ /* Flag: untranslated */ /* File: TablesManager.m:775 */ /* Flag: untranslated */ "entropy-l" = "Entropy L."; /* File: TablesManager.m:101 */ /* Flag: untranslated */ /* File: TablesManager.m:173 */ /* Flag: untranslated */ /* File: TablesManager.m:736 */ /* Flag: untranslated */ /* File: TablesManager.m:741 */ /* Flag: untranslated */ /* File: TablesManager.m:745 */ /* Flag: untranslated */ /* File: TablesManager.m:751 */ /* Flag: untranslated */ /* File: TablesManager.m:757 */ /* Flag: untranslated */ /* File: TablesManager.m:778 */ /* Flag: untranslated */ /* File: TablesManager.m:780 */ /* Flag: untranslated */ "entropy-v" = "Entropy V."; /* File: TablesManager.m:105 */ /* Flag: untranslated */ /* File: TablesManager.m:177 */ /* Flag: untranslated */ /* File: TablesManager.m:723 */ /* Flag: untranslated */ /* File: TablesManager.m:729 */ /* Flag: untranslated */ /* File: TablesManager.m:737 */ /* Flag: untranslated */ /* File: TablesManager.m:743 */ /* Flag: untranslated */ /* File: TablesManager.m:783 */ /* Flag: untranslated */ /* File: TablesManager.m:785 */ /* Flag: untranslated */ "entropy-delta" = "Entropy \U0394"; /* File: TablesManager.m:65 */ /* Flag: untranslated */ /* File: TablesManager.m:137 */ /* Flag: untranslated */ /* File: TablesManager.m:635 */ /* Flag: untranslated */ "volume" = "Volume"; /* File: TablesManager.m:519 */ /* Flag: untranslated */ /* File: TablesManager.m:525 */ /* Flag: untranslated */ /* File: TablesManager.m:533 */ /* Flag: untranslated */ /* File: TablesManager.m:539 */ /* Flag: untranslated */ /* File: TablesManager.m:579 */ /* Flag: untranslated */ /* File: TablesManager.m:581 */ /* Flag: untranslated */ "density-delta" = "Density \U0394"; /* File: TablesManager.m:563 */ /* Flag: untranslated */ /* File: TablesManager.m:631 */ /* Flag: untranslated */ /* File: TablesManager.m:699 */ /* Flag: untranslated */ /* File: TablesManager.m:767 */ /* Flag: untranslated */ /* File: TablesManager.m:835 */ /* Flag: untranslated */ "No available" = "No available"; /* File: TablesManager.m:587 */ /* Flag: untranslated */ /* File: TablesManager.m:593 */ /* Flag: untranslated */ /* File: TablesManager.m:601 */ /* Flag: untranslated */ /* File: TablesManager.m:607 */ /* Flag: untranslated */ /* File: TablesManager.m:647 */ /* Flag: untranslated */ /* File: TablesManager.m:649 */ /* Flag: untranslated */ "volume-delta" = "Volume \U0394"; /* File: TablesManager.m:790 */ /* Flag: untranslated */ /* File: TablesManager.m:795 */ /* Flag: untranslated */ /* File: TablesManager.m:799 */ /* Flag: untranslated */ /* File: TablesManager.m:818 */ /* Flag: untranslated */ /* File: TablesManager.m:823 */ /* Flag: untranslated */ /* File: TablesManager.m:827 */ /* Flag: untranslated */ /* File: TablesManager.m:841 */ /* Flag: untranslated */ /* File: TablesManager.m:843 */ /* Flag: untranslated */ "energy-l" = "Energy L."; /* File: TablesManager.m:791 */ /* Flag: untranslated */ /* File: TablesManager.m:797 */ /* Flag: untranslated */ /* File: TablesManager.m:805 */ /* Flag: untranslated */ /* File: TablesManager.m:811 */ /* Flag: untranslated */ /* File: TablesManager.m:851 */ /* Flag: untranslated */ /* File: TablesManager.m:853 */ /* Flag: untranslated */ "energy-delta" = "Energy \U0394"; /* File: TablesManager.m:804 */ /* Flag: untranslated */ /* File: TablesManager.m:809 */ /* Flag: untranslated */ /* File: TablesManager.m:813 */ /* Flag: untranslated */ /* File: TablesManager.m:819 */ /* Flag: untranslated */ /* File: TablesManager.m:825 */ /* Flag: untranslated */ /* File: TablesManager.m:846 */ /* Flag: untranslated */ /* File: TablesManager.m:848 */ /* Flag: untranslated */ "energy-v" = "Energy V."; /*** Unmatched/untranslated keys ***/ /* File: ObjectData.m:1970 */ /* Flag: untranslated */ "Factors" = "Factors"; /* File: PropertiesWindowController.m:74 */ /* Flag: untranslated */ "The provided data is out of range. \n" = "The provided data is out of range. \n"; /* File: TablesManager.m:839 */ /* Flag: untranslated */ "energy" = "Energy"; trunk/Spanish.lproj/thermodynamics.plist0000666000076400007640000000205314260240601020371 0ustar germangerman( "\n A algunos elementos no se les ha asignado un nombre. \n", "\n Hay un nombre duplicado. \n", "\n Los elementos Cambio deben tener elementos asignados. \n", "\n El sistema es indeterminado. \n", "\n Se hace referencia a un objeto que no esta definido. \n", "\n El dato \"n\" en los elementos Cambio de un gas ideal no puede ser una incógnita. \n", "\n Un objeto tiene aplicados mas elementos de los permitidos. \n", "\n Un objeto tiene asignados elementods que no corresponden. \n", "\n Los elementos Proceso adiabático y Proceso isocórico no pueden tener aplicados tres elementos. \n", "\n Loc elementods Calor no pueden aplicarse a los elementos Proceso adiabático. \n", "\n Los elementos Trabajo no pueden aplicarase a los elementos Proceso isicórico. \n", "\n Los elementos Calor sensible y Calor latente deben tener elementos asignados. \n", "\n Un objeto no permitido esta asignado a un elemento Calor sensible o Calor latente. \n", "\n Los elementos Ciclo deben tener 3 elemenetos asignados. \n", "\n \n" )trunk/Spanish.lproj/dynamicsMessages.plist0000777000076400007640000000235012734077066020666 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n Hay fuerzas que no estan aplicadas a objetos. \n", "\n Hay fuerzas que estan aplicadas a mas de un objeto. \n", "\n Se hace referencia a objetos que no existen. \n", "\n El sistema es indeterminado. \n", "\n No se permite la colisi\U00F3n entre los objetos indicados. \n", "\n Objetos no permitidos en el elemento Momento. \n", "\n Objetos no permitidos en el elemento Potencia. \n", "\n Hay objetos que no tienen fuerzas aplicadas. \n", "\n Algunos objetos tienen aplicadas fuerzas que no corresponden. \n", "\n Estado = %s. \n", "\n ADVERTENCIA: Verifique que las fuerzas de fricci\U00F3n sean contrarias al sentido del movimiento (cuando corresponda). \n", "\n Objeto no permitido en el elemento Movimiento relativo. \n", "\n Los datos del elemento bloque son relativos a un objeto no v\U00E1lido. \n", "\n Algunos elementos Potencia, Momento, Colisi\U00F3n y/o Movimiento relativo no tienen asignados objetos. \n", "\n Hay un nombre duplicado. \n", "\n El movimiento del bloque indicado no es relativo a otro bloque. \n", "\n Los elementos Momento, Energ\U00EDa y Potencia no pueden utilizarse con bloques cuyo movimiento es relativo. \n" )trunk/Spanish.lproj/staticsMessages.plist0000777000076400007640000000070612734077067020535 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n Hay fuerzas que no estan aplicadas a objetos. \n", "\n Hay fuerzas que estan aplicadas a mas de un objeto. \n", "\n El sistema es indeterminado. \n", "\n Hay objetos que no tienen fuerzas aplicadas. \n", "\n Algunos objetos tienen aplicadas fuerzas que no corresponden. \n", "\n Estado = %s. \n", "\n Los datos en el elemento \U00C1ngulos deben ser inc\U00F3gnitas. \n" )trunk/Spanish.lproj/kinematicsCircularMessages.plist0000777000076400007640000000176512734077067022705 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n Se hace referencia a un objeto que no existe. \n", "\n El sistema es indeterminado. \n", "\n Estado = %s. \n", "\n Algun elemento Velocidad angular, Aceleraci\U00F3n angular, Aceleraci\U00F3n total, Frecuencia... no tiene asignado objeto(s). \n", "\n El centro de un m\U00F3vil no puede ser otro m\U00F3vil. \n", "\n Los elementos Velocidad angular y Aceleraci\U00F3n angular s\U00F3lo pueden contener m\U00F3viles circulares. \n", "\n Los elementos Aceleraci\U00F3n total, Frecuencia, Periodo o N\U00FAmero de vueltas, no pueden contener elementos Centro. \n", "\n Los elementos Distancia no pueden contener elementos Centro. \n", "\n Los elementos Arco no pueden contener elementos Centro. \n", "\n Los elementos Coordenada no pueden contener elementos Centro. \n", "\n La combinaci\U00F3n de elementos M\U00F3vil circular y Centro, o dos elementos Centro, no esta permitida en los elementos Velocidad relativa. \n" )trunk/Spanish.lproj/Localizable.strings~0000777000076400007640000006315312734077101020342 0ustar germangerman/*** Spanish.lproj/Localizable.strings updated by make_strings 2015-04-16 00:32:08 -0600 add comments above this one ***/ /*** Keys found in multiple places ***/ /* File: FLCalorimetry.m:363 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:699 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:834 */ /* Flag: untranslated */ /* File: FLCalorimetry.m:1601 */ /* Flag: untranslated */ /* File: FLDynamics.m:254 */ /* Flag: untranslated */ /* File: FLDynamics.m:600 */ /* Flag: untranslated */ /* File: FLDynamics.m:1017 */ /* Flag: untranslated */ /* File: FLDynamics.m:1438 */ /* Flag: untranslated */ /* File: FLDynamics.m:2089 */ /* Flag: untranslated */ /* File: FLDynamics.m:2353 */ /* Flag: untranslated */ /* File: FLDynamics.m:2623 */ /* Flag: untranslated */ /* File: FLDynamics.m:2655 */ /* Flag: untranslated */ /* File: FLDynamics.m:2919 */ /* Flag: untranslated */ /* File: FLDynamics.m:3141 */ /* Flag: untranslated */ /* File: FLDynamics.m:4058 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4672 */ /* Flag: untranslated */ /* File: FLKinematics.m:86 */ /* Flag: untranslated */ /* File: FLKinematics.m:735 */ /* Flag: untranslated */ /* File: FLKinematics.m:897 */ /* Flag: untranslated */ /* File: FLKinematics.m:1115 */ /* Flag: untranslated */ /* File: FLKinematics.m:1251 */ /* Flag: untranslated */ /* File: FLKinematics.m:2042 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:315 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:398 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:491 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:705 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:882 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:939 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1125 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1287 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1313 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:1422 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2281 */ /* Flag: untranslated */ /* File: FLStatics.m:1550 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1585 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:109 */ /* Flag: untranslated */ /* File: ObjectData.m:796 */ /* Flag: untranslated */ /* File: ObjectData.m:806 */ /* Flag: untranslated */ /* File: ObjectData.m:817 */ /* Flag: untranslated */ /* File: ObjectData.m:828 */ /* Flag: untranslated */ /* File: ObjectData.m:837 */ /* Flag: untranslated */ /* File: ObjectData.m:846 */ /* Flag: untranslated */ /* File: ObjectData.m:855 */ /* Flag: untranslated */ /* File: ObjectData.m:864 */ /* Flag: untranslated */ /* File: ObjectData.m:873 */ /* Flag: untranslated */ /* File: ObjectData.m:899 */ /* Flag: untranslated */ /* File: ObjectData.m:916 */ /* Flag: untranslated */ /* File: ObjectData.m:947 */ /* Flag: untranslated */ /* File: ObjectData.m:1012 */ /* Flag: untranslated */ /* File: ObjectData.m:1021 */ /* Flag: untranslated */ /* File: ObjectData.m:1030 */ /* Flag: untranslated */ /* File: ObjectData.m:1040 */ /* Flag: untranslated */ /* File: ObjectData.m:1050 */ /* Flag: untranslated */ /* File: ObjectData.m:1059 */ /* Flag: untranslated */ /* File: ObjectData.m:1101 */ /* Flag: untranslated */ /* File: ObjectData.m:1186 */ /* Flag: untranslated */ /* File: ObjectData.m:1222 */ /* Flag: untranslated */ /* File: ObjectData.m:1231 */ /* Flag: untranslated */ /* File: ObjectData.m:1240 */ /* Flag: untranslated */ /* File: ObjectData.m:1309 */ /* Flag: untranslated */ /* File: ObjectData.m:1320 */ /* Flag: untranslated */ /* File: ObjectData.m:1376 */ /* Flag: untranslated */ /* File: ObjectData.m:1429 */ /* Flag: untranslated */ /* File: ObjectData.m:1438 */ /* Flag: untranslated */ /* File: ObjectData.m:1511 */ /* Flag: untranslated */ /* File: ObjectData.m:1546 */ /* Flag: untranslated */ /* File: ObjectData.m:1575 */ /* Flag: untranslated */ /* File: ObjectData.m:1582 */ /* Flag: untranslated */ /* File: ObjectData.m:1591 */ /* Flag: untranslated */ /* File: ObjectData.m:1600 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ /* File: ObjectData.m:1674 */ /* Flag: untranslated */ /* File: ObjectData.m:1714 */ /* Flag: untranslated */ /* File: ObjectData.m:1751 */ /* Flag: untranslated */ /* File: ObjectData.m:1800 */ /* Flag: untranslated */ /* File: ObjectData.m:1809 */ /* Flag: untranslated */ /* File: ObjectData.m:1818 */ /* Flag: untranslated */ /* File: ObjectData.m:1827 */ /* Flag: untranslated */ "Name" = "Nombre"; /* File: FLDynamicsCircularMotion.m:4674 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:111 */ /* Flag: untranslated */ /* File: ObjectData.m:1609 */ /* Flag: untranslated */ /* File: ObjectData.m:1617 */ /* Flag: untranslated */ /* File: ObjectData.m:1625 */ /* Flag: untranslated */ /* File: ObjectData.m:1760 */ /* Flag: untranslated */ /* File: ObjectData.m:1836 */ /* Flag: untranslated */ "System i" = "Sistema i"; /* File: FLDynamicsCircularMotion.m:4675 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:112 */ /* Flag: untranslated */ /* File: ObjectData.m:1609 */ /* Flag: untranslated */ /* File: ObjectData.m:1617 */ /* Flag: untranslated */ /* File: ObjectData.m:1625 */ /* Flag: untranslated */ /* File: ObjectData.m:1760 */ /* Flag: untranslated */ /* File: ObjectData.m:1836 */ /* Flag: untranslated */ "System f" = "Sistema f"; /* File: FLCalorimetry.m:1602 */ /* Flag: untranslated */ /* File: FLDynamics.m:4059 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4676 */ /* Flag: untranslated */ /* File: FLKinematics.m:2040 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2279 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1240 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ "Object 1" = "Objeto 1"; /* File: FLCalorimetry.m:1603 */ /* Flag: untranslated */ /* File: FLDynamics.m:4060 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4677 */ /* Flag: untranslated */ /* File: FLKinematics.m:2041 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2280 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 2" = "Objeto 2"; /* File: FLCalorimetry.m:1604 */ /* Flag: untranslated */ /* File: FLDynamics.m:4061 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4678 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 3" = "Objeto 3"; /* File: FLCalorimetry.m:1605 */ /* Flag: untranslated */ /* File: FLDynamics.m:4062 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4679 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 4" = "Objeto 4"; /* File: FLDynamicsCircularMotion.m:4539 */ /* Flag: untranslated */ /* File: FLKinematics.m:1965 */ /* Flag: untranslated */ "Status = %s \n" = "Estado = %s \n"; /* File: FLDynamicsCircularMotion.m:4673 */ /* Flag: untranslated */ /* File: ObjectData.m:1769 */ /* Flag: untranslated */ "System" = "Sistema"; /* File: FLDynamicsCircularMotion.m:4681 */ /* Flag: untranslated */ /* File: ObjectData.m:1777 */ /* Flag: untranslated */ "Center" = "Centro"; /* File: FLCalorimetry.m:1606 */ /* Flag: untranslated */ /* File: ObjectData.m:1242 */ /* Flag: untranslated */ "Object 5" = "Objeto 5"; /* File: FLCalorimetry.m:1607 */ /* Flag: untranslated */ /* File: ObjectData.m:1223 */ /* Flag: untranslated */ /* File: ObjectData.m:1232 */ /* Flag: untranslated */ "Sense" = "Sentido"; /* File: FLDynamics.m:4063 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4680 */ /* Flag: untranslated */ /* File: FLKinematics.m:2039 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2278 */ /* Flag: untranslated */ /* File: ObjectData.m:796 */ /* Flag: untranslated */ /* File: ObjectData.m:846 */ /* Flag: untranslated */ /* File: ObjectData.m:855 */ /* Flag: untranslated */ /* File: ObjectData.m:1135 */ /* Flag: untranslated */ /* File: ObjectData.m:1144 */ /* Flag: untranslated */ /* File: ObjectData.m:1151 */ /* Flag: untranslated */ /* File: ObjectData.m:1331 */ /* Flag: untranslated */ /* File: ObjectData.m:1339 */ /* Flag: untranslated */ /* File: ObjectData.m:1346 */ /* Flag: untranslated */ /* File: ObjectData.m:1355 */ /* Flag: untranslated */ /* File: ObjectData.m:1362 */ /* Flag: untranslated */ /* File: ObjectData.m:1369 */ /* Flag: untranslated */ /* File: ObjectData.m:1391 */ /* Flag: untranslated */ /* File: ObjectData.m:1398 */ /* Flag: untranslated */ /* File: ObjectData.m:1666 */ /* Flag: untranslated */ /* File: ObjectData.m:1723 */ /* Flag: untranslated */ /* File: ObjectData.m:1730 */ /* Flag: untranslated */ /* File: ObjectData.m:1737 */ /* Flag: untranslated */ /* File: ObjectData.m:1744 */ /* Flag: untranslated */ /* File: ObjectData.m:1776 */ /* Flag: untranslated */ "Object" = "Objeto"; /* File: FLDynamics.m:4132 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4752 */ /* Flag: untranslated */ /* File: FLKinematics.m:2124 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2361 */ /* Flag: untranslated */ /* File: FLSolver.m:189 */ /* Flag: untranslated */ /* File: FLStatics.m:1619 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1660 */ /* Flag: untranslated */ "degrees" = "grados"; /* File: FLDynamics.m:4064 */ /* Flag: untranslated */ /* File: ObjectData.m:1041 */ /* Flag: untranslated */ /* File: ObjectData.m:1051 */ /* Flag: untranslated */ "Relative to" = "Relativo a"; /* File: FLStaticsRigidBodies.m:1283 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1319 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1344 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1400 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1436 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1461 */ /* Flag: untranslated */ "[compression] " = "[compresi\U00F3n] "; /* File: FLStaticsRigidBodies.m:1289 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1325 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1350 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1394 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1430 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1455 */ /* Flag: untranslated */ "[tension] " = "[tensi\U00F3n] "; /* File: FLStaticsRigidBodies.m:1586 */ /* Flag: untranslated */ /* File: ObjectData.m:1422 */ /* Flag: untranslated */ "Points" = "Puntos"; /* File: FLStaticsRigidBodies.m:1587 */ /* Flag: untranslated */ /* File: ObjectData.m:1454 */ /* Flag: untranslated */ "Beam" = "Viga"; /* File: FLStaticsRigidBodies.m:1588 */ /* Flag: untranslated */ /* File: ObjectData.m:1461 */ /* Flag: untranslated */ "Solid" = "S\U00F3lido"; /* File: FLStaticsRigidBodies.m:1589 */ /* Flag: untranslated */ /* File: ObjectData.m:1553 */ /* Flag: untranslated */ "Truss" = "Armadura"; /* File: HelpPanelController.m:51 */ /* Flag: untranslated */ /* File: HelpPanelController.m:223 */ /* Flag: untranslated */ "Introduction" = "Introducci\U00F3n"; /* File: HelpPanelController.m:57 */ /* Flag: untranslated */ /* File: HelpPanelController.m:166 */ /* Flag: untranslated */ "Linear Kinematics of Particles" = "Cinem\U00E1tica Lineal de Part\U00EDculas"; /* File: HelpPanelController.m:63 */ /* Flag: untranslated */ /* File: HelpPanelController.m:168 */ /* Flag: untranslated */ "Examples Linear Kinematics" = "Ejemplos de Cinem\U00E1tica Lineal"; /* File: HelpPanelController.m:69 */ /* Flag: untranslated */ /* File: HelpPanelController.m:170 */ /* Flag: untranslated */ "Kinematics of Circular Motion of Particles" = "Cinem\U00E1tica Circular de Part\U00EDculas"; /* File: HelpPanelController.m:75 */ /* Flag: untranslated */ /* File: HelpPanelController.m:172 */ /* Flag: untranslated */ "Examples Circular Motion Kinematics" = "Ejemplos de Cinem\U00E1tica Circular"; /* File: HelpPanelController.m:81 */ /* Flag: untranslated */ /* File: HelpPanelController.m:182 */ /* Flag: untranslated */ "Statics of Particles" = "Est\U00E1tica de Part\U00EDculas"; /* File: HelpPanelController.m:87 */ /* Flag: untranslated */ /* File: HelpPanelController.m:184 */ /* Flag: untranslated */ "Examples Statics of Particles" = "Ejemplos de Est\U00E1tica de Part\U00EDculas"; /* File: HelpPanelController.m:93 */ /* Flag: untranslated */ /* File: HelpPanelController.m:186 */ /* Flag: untranslated */ "Statics of Rigid Bodies" = "Est\U00E1tica de Cuerpos R\U00EDgidos"; /* File: HelpPanelController.m:99 */ /* Flag: untranslated */ /* File: HelpPanelController.m:188 */ /* Flag: untranslated */ "Examples Statics of Rigid Bodies" = "Ejemplos de Est\U00E1tica R\U00EDgida"; /* File: HelpPanelController.m:105 */ /* Flag: untranslated */ /* File: HelpPanelController.m:198 */ /* Flag: untranslated */ "Linear Dynamics of Particles" = "Din\U00E1mica Lineal de Part\U00EDculas"; /* File: HelpPanelController.m:111 */ /* Flag: untranslated */ /* File: HelpPanelController.m:200 */ /* Flag: untranslated */ "Examples Linear Dynamics" = "Ejemplos de Din\U00E1mica Lineal"; /* File: HelpPanelController.m:117 */ /* Flag: untranslated */ /* File: HelpPanelController.m:202 */ /* Flag: untranslated */ "Circular Dynamics of particles" = "Din\U00E1mica Circular de Part\U00EDculas"; /* File: HelpPanelController.m:123 */ /* Flag: untranslated */ /* File: HelpPanelController.m:204 */ /* Flag: untranslated */ "Examples Circular Dynamics" = "Ejemplos de Din\U00E1mica Circular"; /* File: HelpPanelController.m:129 */ /* Flag: untranslated */ /* File: HelpPanelController.m:214 */ /* Flag: untranslated */ "Dilatation, Ideal gas and Calorimetry" = "Dilataci\U00F3n, Gases ideales y Calorimetr\U00EDa"; /* File: HelpPanelController.m:135 */ /* Flag: untranslated */ /* File: HelpPanelController.m:216 */ /* Flag: untranslated */ "Examples of Dilation, Ideal gas ..." = "Ejemplos de Dilataci\U00F3n, Gases ideales ..."; /* File: HelpPanelController.m:141 */ /* Flag: untranslated */ /* File: HelpPanelController.m:243 */ /* Flag: untranslated */ "GNU Free Documentation License" = "GNU Free Documentation License"; /* File: HelpPanelController.m:161 */ /* Flag: untranslated */ /* File: HelpPanelController.m:227 */ /* Flag: untranslated */ /* File: HelpPanelController.m:251 */ /* Flag: untranslated */ /* File: HelpPanelController.m:269 */ /* Flag: untranslated */ "Kinematics" = "Cinem\U00E1tica"; /* File: HelpPanelController.m:177 */ /* Flag: untranslated */ /* File: HelpPanelController.m:231 */ /* Flag: untranslated */ /* File: HelpPanelController.m:252 */ /* Flag: untranslated */ /* File: HelpPanelController.m:273 */ /* Flag: untranslated */ "Statics" = "Est\U00E1tica"; /* File: HelpPanelController.m:193 */ /* Flag: untranslated */ /* File: HelpPanelController.m:235 */ /* Flag: untranslated */ /* File: HelpPanelController.m:253 */ /* Flag: untranslated */ /* File: HelpPanelController.m:277 */ /* Flag: untranslated */ "Dynamics" = "Din\U00E1mica"; /* File: HelpPanelController.m:209 */ /* Flag: untranslated */ /* File: HelpPanelController.m:239 */ /* Flag: untranslated */ /* File: HelpPanelController.m:254 */ /* Flag: untranslated */ /* File: HelpPanelController.m:281 */ /* Flag: untranslated */ "Thermodynamics" = "Termodin\U00E1mica"; /* File: FLThermodynamics.m:110 */ /* Flag: untranslated */ /* File: ObjectData.m:1837 */ /* Flag: untranslated */ "Substance" = "Substancia"; /* File: TablesManager.m:45 */ /* Flag: untranslated */ /* File: TablesManager.m:117 */ /* Flag: untranslated */ "pressure" = "Presi\U00F3n"; /* File: TablesManager.m:49 */ /* Flag: untranslated */ /* File: TablesManager.m:121 */ /* Flag: untranslated */ "temperature" = "Temperatura"; /* File: TablesManager.m:53 */ /* Flag: untranslated */ /* File: TablesManager.m:125 */ /* Flag: untranslated */ /* File: TablesManager.m:567 */ /* Flag: untranslated */ "density" = "Densidad"; /* File: TablesManager.m:57 */ /* Flag: untranslated */ /* File: TablesManager.m:129 */ /* Flag: untranslated */ /* File: TablesManager.m:518 */ /* Flag: untranslated */ /* File: TablesManager.m:523 */ /* Flag: untranslated */ /* File: TablesManager.m:527 */ /* Flag: untranslated */ /* File: TablesManager.m:546 */ /* Flag: untranslated */ /* File: TablesManager.m:551 */ /* Flag: untranslated */ /* File: TablesManager.m:555 */ /* Flag: untranslated */ /* File: TablesManager.m:569 */ /* Flag: untranslated */ /* File: TablesManager.m:571 */ /* Flag: untranslated */ "density-l" = "Densidad L."; /* File: TablesManager.m:61 */ /* Flag: untranslated */ /* File: TablesManager.m:133 */ /* Flag: untranslated */ /* File: TablesManager.m:532 */ /* Flag: untranslated */ /* File: TablesManager.m:537 */ /* Flag: untranslated */ /* File: TablesManager.m:541 */ /* Flag: untranslated */ /* File: TablesManager.m:547 */ /* Flag: untranslated */ /* File: TablesManager.m:553 */ /* Flag: untranslated */ /* File: TablesManager.m:574 */ /* Flag: untranslated */ /* File: TablesManager.m:576 */ /* Flag: untranslated */ "density-v" = "Densidad V."; /* File: TablesManager.m:69 */ /* Flag: untranslated */ /* File: TablesManager.m:141 */ /* Flag: untranslated */ /* File: TablesManager.m:586 */ /* Flag: untranslated */ /* File: TablesManager.m:591 */ /* Flag: untranslated */ /* File: TablesManager.m:595 */ /* Flag: untranslated */ /* File: TablesManager.m:614 */ /* Flag: untranslated */ /* File: TablesManager.m:619 */ /* Flag: untranslated */ /* File: TablesManager.m:623 */ /* Flag: untranslated */ /* File: TablesManager.m:637 */ /* Flag: untranslated */ /* File: TablesManager.m:639 */ /* Flag: untranslated */ "volume-l" = "Volumen L."; /* File: TablesManager.m:73 */ /* Flag: untranslated */ /* File: TablesManager.m:145 */ /* Flag: untranslated */ /* File: TablesManager.m:600 */ /* Flag: untranslated */ /* File: TablesManager.m:605 */ /* Flag: untranslated */ /* File: TablesManager.m:609 */ /* Flag: untranslated */ /* File: TablesManager.m:615 */ /* Flag: untranslated */ /* File: TablesManager.m:621 */ /* Flag: untranslated */ /* File: TablesManager.m:642 */ /* Flag: untranslated */ /* File: TablesManager.m:644 */ /* Flag: untranslated */ "volume-v" = "Volumen V."; /* File: TablesManager.m:77 */ /* Flag: untranslated */ /* File: TablesManager.m:149 */ /* Flag: untranslated */ /* File: TablesManager.m:703 */ /* Flag: untranslated */ "enthalpy" = "Entalp\U00EDa"; /* File: TablesManager.m:81 */ /* Flag: untranslated */ /* File: TablesManager.m:153 */ /* Flag: untranslated */ /* File: TablesManager.m:654 */ /* Flag: untranslated */ /* File: TablesManager.m:659 */ /* Flag: untranslated */ /* File: TablesManager.m:663 */ /* Flag: untranslated */ /* File: TablesManager.m:682 */ /* Flag: untranslated */ /* File: TablesManager.m:687 */ /* Flag: untranslated */ /* File: TablesManager.m:691 */ /* Flag: untranslated */ /* File: TablesManager.m:705 */ /* Flag: untranslated */ /* File: TablesManager.m:707 */ /* Flag: untranslated */ "enthalpy-l" = "Entalp\U00EDa L."; /* File: TablesManager.m:85 */ /* Flag: untranslated */ /* File: TablesManager.m:157 */ /* Flag: untranslated */ /* File: TablesManager.m:668 */ /* Flag: untranslated */ /* File: TablesManager.m:673 */ /* Flag: untranslated */ /* File: TablesManager.m:677 */ /* Flag: untranslated */ /* File: TablesManager.m:683 */ /* Flag: untranslated */ /* File: TablesManager.m:689 */ /* Flag: untranslated */ /* File: TablesManager.m:710 */ /* Flag: untranslated */ /* File: TablesManager.m:712 */ /* Flag: untranslated */ "enthalpy-v" = "Entalp\U00EDa V."; /* File: TablesManager.m:89 */ /* Flag: untranslated */ /* File: TablesManager.m:161 */ /* Flag: untranslated */ /* File: TablesManager.m:655 */ /* Flag: untranslated */ /* File: TablesManager.m:661 */ /* Flag: untranslated */ /* File: TablesManager.m:669 */ /* Flag: untranslated */ /* File: TablesManager.m:675 */ /* Flag: untranslated */ /* File: TablesManager.m:715 */ /* Flag: untranslated */ /* File: TablesManager.m:717 */ /* Flag: untranslated */ "enthalpy-delta" = "Entalp\U00EDa \U0394"; /* File: TablesManager.m:93 */ /* Flag: untranslated */ /* File: TablesManager.m:165 */ /* Flag: untranslated */ /* File: TablesManager.m:771 */ /* Flag: untranslated */ "entropy" = "Entrop\U00EDa"; /* File: TablesManager.m:97 */ /* Flag: untranslated */ /* File: TablesManager.m:169 */ /* Flag: untranslated */ /* File: TablesManager.m:722 */ /* Flag: untranslated */ /* File: TablesManager.m:727 */ /* Flag: untranslated */ /* File: TablesManager.m:731 */ /* Flag: untranslated */ /* File: TablesManager.m:750 */ /* Flag: untranslated */ /* File: TablesManager.m:755 */ /* Flag: untranslated */ /* File: TablesManager.m:759 */ /* Flag: untranslated */ /* File: TablesManager.m:773 */ /* Flag: untranslated */ /* File: TablesManager.m:775 */ /* Flag: untranslated */ "entropy-l" = "Entrop\U00EDa L."; /* File: TablesManager.m:101 */ /* Flag: untranslated */ /* File: TablesManager.m:173 */ /* Flag: untranslated */ /* File: TablesManager.m:736 */ /* Flag: untranslated */ /* File: TablesManager.m:741 */ /* Flag: untranslated */ /* File: TablesManager.m:745 */ /* Flag: untranslated */ /* File: TablesManager.m:751 */ /* Flag: untranslated */ /* File: TablesManager.m:757 */ /* Flag: untranslated */ /* File: TablesManager.m:778 */ /* Flag: untranslated */ /* File: TablesManager.m:780 */ /* Flag: untranslated */ "entropy-v" = "Entrop\U00EDa V."; /* File: TablesManager.m:105 */ /* Flag: untranslated */ /* File: TablesManager.m:177 */ /* Flag: untranslated */ /* File: TablesManager.m:723 */ /* Flag: untranslated */ /* File: TablesManager.m:729 */ /* Flag: untranslated */ /* File: TablesManager.m:737 */ /* Flag: untranslated */ /* File: TablesManager.m:743 */ /* Flag: untranslated */ /* File: TablesManager.m:783 */ /* Flag: untranslated */ /* File: TablesManager.m:785 */ /* Flag: untranslated */ "entropy-delta" = "Entrop\U00EDa \U0394"; /* File: TablesManager.m:65 */ /* Flag: untranslated */ /* File: TablesManager.m:137 */ /* Flag: untranslated */ /* File: TablesManager.m:635 */ /* Flag: untranslated */ "volume" = "Volumen"; /* File: TablesManager.m:519 */ /* Flag: untranslated */ /* File: TablesManager.m:525 */ /* Flag: untranslated */ /* File: TablesManager.m:533 */ /* Flag: untranslated */ /* File: TablesManager.m:539 */ /* Flag: untranslated */ /* File: TablesManager.m:579 */ /* Flag: untranslated */ /* File: TablesManager.m:581 */ /* Flag: untranslated */ "density-delta" = "Densidad \U0394"; /* File: TablesManager.m:563 */ /* Flag: untranslated */ /* File: TablesManager.m:631 */ /* Flag: untranslated */ /* File: TablesManager.m:699 */ /* Flag: untranslated */ /* File: TablesManager.m:767 */ /* Flag: untranslated */ /* File: TablesManager.m:835 */ /* Flag: untranslated */ "No available" = "No disponible"; /* File: TablesManager.m:587 */ /* Flag: untranslated */ /* File: TablesManager.m:593 */ /* Flag: untranslated */ /* File: TablesManager.m:601 */ /* Flag: untranslated */ /* File: TablesManager.m:607 */ /* Flag: untranslated */ /* File: TablesManager.m:647 */ /* Flag: untranslated */ /* File: TablesManager.m:649 */ /* Flag: untranslated */ "volume-delta" = "Volumen \U0394"; /* File: TablesManager.m:790 */ /* Flag: untranslated */ /* File: TablesManager.m:795 */ /* Flag: untranslated */ /* File: TablesManager.m:799 */ /* Flag: untranslated */ /* File: TablesManager.m:818 */ /* Flag: untranslated */ /* File: TablesManager.m:823 */ /* Flag: untranslated */ /* File: TablesManager.m:827 */ /* Flag: untranslated */ /* File: TablesManager.m:841 */ /* Flag: untranslated */ /* File: TablesManager.m:843 */ /* Flag: untranslated */ "energy-l" = "Energ\U00EDa L."; /* File: TablesManager.m:791 */ /* Flag: untranslated */ /* File: TablesManager.m:797 */ /* Flag: untranslated */ /* File: TablesManager.m:805 */ /* Flag: untranslated */ /* File: TablesManager.m:811 */ /* Flag: untranslated */ /* File: TablesManager.m:851 */ /* Flag: untranslated */ /* File: TablesManager.m:853 */ /* Flag: untranslated */ "energy-delta" = "Energ\U00EDa \U0394"; /* File: TablesManager.m:804 */ /* Flag: untranslated */ /* File: TablesManager.m:809 */ /* Flag: untranslated */ /* File: TablesManager.m:813 */ /* Flag: untranslated */ /* File: TablesManager.m:819 */ /* Flag: untranslated */ /* File: TablesManager.m:825 */ /* Flag: untranslated */ /* File: TablesManager.m:846 */ /* Flag: untranslated */ /* File: TablesManager.m:848 */ /* Flag: untranslated */ "energy-v" = "Energ\U00EDa V."; /*** Unmatched/untranslated keys ***/ /* File: ObjectData.m:1970 */ /* Flag: untranslated */ "Factors" = "Factores"; /* File: PropertiesWindowController.m:74 */ /* Flag: untranslated */ "The provided data is out of range. \n" = "La informaci\U00F3n prove\U00EDda esta fuera de rango. \n"; /* File: TablesManager.m:839 */ /* Flag: untranslated */ "energy" = "Energ\U00EDa"; trunk/Spanish.lproj/kinematicsMessages.plist0000777000076400007640000000037112734077101021175 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n Se hace referencia a un objeto que no existe. \n", "\n El sistema es indeterminado. \n", "\n Hay un nombre duplicado. \n", "\n Algun elemento no tiene asignado un objeto. \n" )trunk/Spanish.lproj/staticsRigidMessages.plist0000777000076400007640000000235412734077101021502 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n Hay fuerzas que no estan aplicadas a objetos. \n", "\n Hay fuerzas que estan aplicadas a mas de un objeto. \n", "\n El sistema es indeterminado. \n", "\n Hay objetos que no tienen fuerzas aplicadas. \n", "\n Estado = %s. \n", "\n Hay un s\U00F3lido con nombre duplicado o un nombre no admisible. \n", "\n Hay un elemento que no tiene asignado nombre alguno. \n", "\n No hay s\U00F3lidos definidos. \n", "\n Algun elemento esta asignado a un s\U00F3lido que no se ha definido aun. \n", "\n Las Vigas y S\U00F3lidos deben constar por lo menos de un elemento, los Puntos de por lo menos dos y las Armaduras de por lo menos tres. \n", "\n Los elementos que conforman un s\U00F3lido deben ser del mismo tipo. \n", "\n Algunos s\U00F3lidos tienen asignados elementos que no corresponden. \n", "\n Los s\U00F3lidos \U00FAnicamente pueden tener una resultante aplicada. \n", "\n Los nudos de armadura \U00FAnicamente pueden tener aplicadas fuerzas y vigas de armadura. \n", "\n Los fuerzas (o vigas) aplicadas a un nudo de armadura no pueden ser todas verticales u horizontales. \n", "\n Los datos en el elemento \U00C1ngulos deben ser inc\U00F3gnitas. \n" )trunk/Spanish.lproj/calorimetryMessages.plist0000777000076400007640000000267212734077101021406 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n El sistema es indeterminado. \n", "\n Se hace referencia a un objeto que no existe. \n", "\n Algunas fuentes o dep\U00F3sitos no estan aplicados a objetos. \n", "\n Algunas fuentes o dep\U00F3sitos estan aplicados a mas de un objeto. \n", "\n Debe establecerse un dato o variable temporal para utilizar flujos. \n", "\n No se permite la aplicaci\U00F3n de fuentes o dep\U00F3sitos a objetos en calor\U00EDmetros. \n", "\n No se permite la aplicaci\U00F3n simultanea de fuentes y flujos a un objeto. \n", "\n Estado = %s. \n", "\n No se permite la aplicaci\U00F3n de fuentes o dep\U00F3sitos a objetos que forman parte de un proceso de cambio. \n", "\n No se permite que los elementos Cambio contengan a otros elementos Cambio. \n", "\n Los elementos Cambio no pueden contener m\U00E1s de tres elementos Bloque, Liquido o Gas. \n", "\n Los elementos Cambio no pueden contener m\U00E1s de dos elementos Cambio de Fase. \n", "\n Verifique que la temperatura calculada este dentro del rango esperado. Si no es asi, algun proceso o cambio indicado, nunca se lleva a cabo debido a que la energ\U00EDa no es suficiente. \n", "\n Hay un nombre duplicado. \n", "\n Debe aplicar una fuente (extracci\U00F3n) de calor o flujo (refrigeraci\U00F3n) al elemento. \n", "\n No se permite la inclusi\U00F3n directa de elementos Cambio de fase en los calor\U00EDmetros. \n" )trunk/Spanish.lproj/dynamicsCircularMessages.plist0000777000076400007640000000475512734077101022354 0ustar germangerman( "\n No se encontro la conversi\U00F3n para %s. \n", "\n El sistema es indeterminado. \n", "\n Algun elemento Momento, Energ\U00EDa o Potencia no tiene asignado objetos. \n", "\n Hay un elemento Sistema que no tiene asignado nombre. \n", "\n Los elementos Inercia solo admiten un objeto Sistema Inicial o Sistema Final. \n", "\n Hay un nombre duplicado. \n", "\n Un elemento Inercia tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Los datos en el elemento \U00C1ngulos deben ser inc\U00F3gnitas. \n", "\n Hay un elemento Resorte que no tiene asignado nombre. \n", "\n Hay un elemento Centro que no tiene asignado nombre. \n", "\n Un elemento Sistema tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Un elemento Energ\U00EDa tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Un elemento Potencia tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Un elemento Momento angular tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Algun elemento Velocidad Absoluta no tiene asignado objetos. \n", "\n Un elemento Velocidad Absoluta tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Se hace referencia a un objeto que no existe. \n", "\n Algunos objetos tienen aplicadas fuerzas que no corresponden. \n", "\n Los objetos M\U00F3vil Lineal y Perpendicular no pueden tener aplicadas \U00FAnicamente fuerzas verticales u horizontales. \n", "\n Los objetos M\U00F3vil Circular y M\U00EDvil Polar s\U00F3lo pueden tener una fuerza aplicada. \n", "\n Hay fuerzas que no estan aplicadas a objetos. \n", "\n Hay fuerzas que estan aplicadas a mas de un objeto. \n", "\n Los elementos Velocidad Angular y Aceleraci\U00F3n Centr\U00EDpeta/Angular/Total/M\U00E1xima deben tener un objeto asignado. \n", "\n Los elementos Velocidad Angular y Aceleraci\U00F3n Centr\U00EDpeta solo admiten un elemento M\U00F3vil Circular o M\U00F3vil Polar. \n", "\n Los elementos Aceleraci\U00F3n Total, Aceleraci\U00F3n Angular y Aceleraci\U00F3n M\U00E1xima solo admiten elementos M\U00F3vil con Movimiento Circular Perpendicular. \n", "\n Un elemento Momento lineal tiene asignada una combinaci\U00F3n de objetos no permitida. \n", "\n Hay un elemento Resorte que no tiene fuerzas aplicadas. \n", "\n Hay un elemento M\U00F3vil con Movimiento Circular Perpendicular que no tiene fuerzas aplicadas. \n", "\n Los elementos Inercia deben tener un objeto asignado. \n" )trunk/Spanish.lproj/logoPanel.tif0000777000076400007640000372061012734077101016735 0ustar germangermanII*^^ ^^^ ^^ ^ ^^ _^^ ^^ ^ _^^ ^ ^^ ^ ^_^^ _ ^ ^^ _ ^ _ ^ ^^^ ^^^_ _^^_^ _ ^^ ^ ^^^___^^^ ^ ^ ^^ ^^ ^_ ^^^_^ _ ^^_ ^ ^^^ ^ ^ ^ ^^ ^^_^ ^^^ ^ _ _ _ ^^^^^^^_ ^^ ^^ _ ^^ ^_ _ ^ ^ ^^^ ^^_ ^ _ ^ _ _^_ _ ^__ ^ ^ _ ^ ^ _ ^ ^_^^_ _ ^ ^^ ^ ^ ^^^^ ^^^_ ^ ^___ ^ ^^^ ^^^^^^_ __^^ ^_ _^^^^ ^ ^ ^^^ _^ _ ^ _^ ^ _^ _ ^ ^^^^_^^ ^ _ ^ _^ ^ _ _ ^ ^_^ ^ ^_ ^ _ ^ _^^^ ^ _^^ ^^^ ^^ ^ ^^^_^ _ _ ^^ ^_^ ^_^^_^^^_ _^^_ ^_ ^^ ^ ^_ ^^^ ^ ^^^ ^ ^^_ ^ _^ ^^ ^^ _^ ^ ^ ^_^^^__ _ ^_ _^ ^ ^_^_^^ _ ^_^^ ^_^ ^^^ ^_^^^_^^^ ^^__ ^^_ ^^ ^ _ ^_ _ _ ^ ^^ ^^^^ ^_^^^^ ^^_ ^ _ ^ ^ ^_^^ _^^^ ^ ^_^^^ _ ^ ^ _ ^_^^^^ ^_^ _^ ^_ _ ^^^ ^ _^ ^ ^^^^^ ^^^ _^_ ^_^ ^ _^^ ^ _ ^__ ^ ^ ^^^ __^^__^ ^ ^ ^ _^_ ^_^ ^ ^^ ^ ^_ ^ ^^^^ _^ _^^^ _^^^ ^ _^ __ ^^^ ^^ _ ^_ __^ ^ ^ ^ _^ ^_ ^^_^_ _^^ ^_ ^ ^ _^ ^ ^ ^^ ^_ ^^ ^^ ^^_ _ ^ _^ ^ ^ ^^^^^^__^^ _^_ ^^^ ^_ _ ^^ ^_^^_^^ ^^ ^^_ _ ^ ^^^^_^^ ^^ ^^_ _ ^ ^ __^ _ ^^_ ^ ^_^ _^^ ^ ^ ^ ^ ^^^ _^ _^_^^__^ ^^ _ ^__ ^^ ^^^ ^ ^ ^ ^_^ ^^ ^^_ ^^ _ ^^ ^ ^^ ^ _ _^^_ ^^ _ ^^ ^ ^_ ^ ^^ _ ^ ^ ^_^_^^ __ ^ ^^^ ^ ^^^^_ ^ ^^ ^ ^ _ _^ ^ ^ __ ^ ^^_^^ _ ^^^ _ ^_^^ ^ ^^ ^^ ^ _^ ^ _^^ ^^_^^ ^ ^^^ _^ _^^^ ^^^^ ^ _^ ^^_^_ ^ _ ^ __^ ^ ^^ ^__ ^^ ^ ^ ^_^ _^ ^_^ _ _^^ ^ ^^_^ ^ ^ _^ ___^_ ^ _ ^ _^^^ ^ ^ ^ ^ ^^^__^^ __^ ^__^ ^ _ _^ _ _^ __^^ ^ ^_^_ ^_^^^ _^ ^ ^ _^__ _ ^ _ ^ ___ _^ ^ _ _ ^ _ _ ^ _ __ _ ^^ __ _ _ ^__ ^__ ^__ ^ ^ ^ _ _ _ ^^ __ _ ^ ^ ___ _^_ ^ _ ^ _ _ ^ ^ _ _ _ ^^ _ _ ^__ _^^ ___ _ __ __^ _ ^ _ _ ^ ^ _ _ _ ^^ ___ _ _ __ ^^ ^^__ _ ^ _ ^ _ ^ _ _ ^^ __ _ __ _ _ __ __ _ _ _ _ _ _ _ _ _ _ _ _ __ __ _ _ _ _ _ __ _ __ ____ _ _ _ _ _ `` _ __ _ _ _ _ _ __ __ _ _ _ _ _ _ _ _ ____ _ _ _ _ ___ _ _ __ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ _ _ _ __ _ _ ___ _ _ _ _ _ ` _ ` _ _ _ _ _ ` ` _ ` _ ` _ _ _ _ ` _ _ ` _ _ ` _ _ _ ` _ _ ` ` ` ` _ _ _ _ ` ` _ _ ` ` ` _ ` _ _!` ` _ _ ` _ ` _ ` _ ` ` _ _ ` ` _!_ _ ` _ ` _ _ _ _ _ ` _ _ _ _ _ _ ` ` ` ` _ _ ` _ ` _ _ _ ` ` _ ` _ _ ` ` ` ` _ ` ` _ _ _ _ _ _ _ _ _ _ ` ` ` ` ` 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ObjectData.m:1429 */ /* Flag: untranslated */ /* File: ObjectData.m:1438 */ /* Flag: untranslated */ /* File: ObjectData.m:1511 */ /* Flag: untranslated */ /* File: ObjectData.m:1546 */ /* Flag: untranslated */ /* File: ObjectData.m:1575 */ /* Flag: untranslated */ /* File: ObjectData.m:1582 */ /* Flag: untranslated */ /* File: ObjectData.m:1591 */ /* Flag: untranslated */ /* File: ObjectData.m:1600 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ /* File: ObjectData.m:1674 */ /* Flag: untranslated */ /* File: ObjectData.m:1714 */ /* Flag: untranslated */ /* File: ObjectData.m:1751 */ /* Flag: untranslated */ /* File: ObjectData.m:1800 */ /* Flag: untranslated */ /* File: ObjectData.m:1809 */ /* Flag: untranslated */ /* File: ObjectData.m:1818 */ /* Flag: untranslated */ /* File: ObjectData.m:1827 */ /* Flag: untranslated */ "Name" = "Nombre"; /* File: FLDynamicsCircularMotion.m:4674 */ /* Flag: untranslated */ /* File: FLThermodynamics.m:111 */ /* 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FLKinematicsCircularMotion.m:2279 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1240 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1634 */ /* Flag: untranslated */ "Object 1" = "Objeto 1"; /* File: FLCalorimetry.m:1603 */ /* Flag: untranslated */ /* File: FLDynamics.m:4060 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4677 */ /* Flag: untranslated */ /* File: FLKinematics.m:2041 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2280 */ /* Flag: untranslated */ /* File: ObjectData.m:882 */ /* Flag: untranslated */ /* File: ObjectData.m:890 */ /* Flag: untranslated */ /* File: ObjectData.m:1117 */ /* Flag: untranslated */ /* File: ObjectData.m:1126 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1250 */ /* Flag: untranslated */ /* File: ObjectData.m:1383 */ /* Flag: untranslated */ /* File: ObjectData.m:1405 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 2" = "Objeto 2"; /* File: FLCalorimetry.m:1604 */ /* Flag: untranslated */ /* File: FLDynamics.m:4061 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4678 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 3" = "Objeto 3"; /* File: FLCalorimetry.m:1605 */ /* Flag: untranslated */ /* File: FLDynamics.m:4062 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4679 */ /* Flag: untranslated */ /* File: ObjectData.m:1127 */ /* Flag: untranslated */ /* File: ObjectData.m:1241 */ /* Flag: untranslated */ /* File: ObjectData.m:1251 */ /* Flag: untranslated */ /* File: ObjectData.m:1635 */ /* Flag: untranslated */ "Object 4" = "Objeto 4"; /* File: FLDynamicsCircularMotion.m:4539 */ /* Flag: untranslated */ /* File: FLKinematics.m:1965 */ /* Flag: untranslated */ "Status = %s \n" = "Estado = %s \n"; /* File: FLDynamicsCircularMotion.m:4673 */ /* Flag: untranslated */ /* File: ObjectData.m:1769 */ /* Flag: untranslated */ "System" = "Sistema"; /* File: FLDynamicsCircularMotion.m:4681 */ /* Flag: untranslated */ /* File: ObjectData.m:1777 */ /* Flag: untranslated */ "Center" = "Centro"; /* File: FLCalorimetry.m:1606 */ /* Flag: untranslated */ /* File: ObjectData.m:1242 */ /* Flag: untranslated */ "Object 5" = "Objeto 5"; /* File: FLCalorimetry.m:1607 */ /* Flag: untranslated */ /* File: ObjectData.m:1223 */ /* Flag: untranslated */ /* File: ObjectData.m:1232 */ /* Flag: untranslated */ "Sense" = "Sentido"; /* File: FLDynamics.m:4063 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4680 */ /* Flag: untranslated */ /* File: FLKinematics.m:2039 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2278 */ /* Flag: untranslated */ /* File: ObjectData.m:796 */ /* Flag: untranslated */ /* File: ObjectData.m:846 */ /* Flag: untranslated */ /* File: ObjectData.m:855 */ /* Flag: untranslated */ /* File: ObjectData.m:1135 */ /* Flag: untranslated */ /* File: ObjectData.m:1144 */ /* Flag: untranslated */ /* File: ObjectData.m:1151 */ /* Flag: untranslated */ /* File: ObjectData.m:1331 */ /* Flag: untranslated */ /* File: ObjectData.m:1339 */ /* Flag: untranslated */ /* File: ObjectData.m:1346 */ /* Flag: untranslated */ /* File: ObjectData.m:1355 */ /* Flag: untranslated */ /* File: ObjectData.m:1362 */ /* Flag: untranslated */ /* File: ObjectData.m:1369 */ /* Flag: untranslated */ /* File: ObjectData.m:1391 */ /* Flag: untranslated */ /* File: ObjectData.m:1398 */ /* Flag: untranslated */ /* File: ObjectData.m:1666 */ /* Flag: untranslated */ /* File: ObjectData.m:1723 */ /* Flag: untranslated */ /* File: ObjectData.m:1730 */ /* Flag: untranslated */ /* File: ObjectData.m:1737 */ /* Flag: untranslated */ /* File: ObjectData.m:1744 */ /* Flag: untranslated */ /* File: ObjectData.m:1776 */ /* Flag: untranslated */ "Object" = "Objeto"; /* File: FLDynamics.m:4132 */ /* Flag: untranslated */ /* File: FLDynamicsCircularMotion.m:4752 */ /* Flag: untranslated */ /* File: FLKinematics.m:2124 */ /* Flag: untranslated */ /* File: FLKinematicsCircularMotion.m:2361 */ /* Flag: untranslated */ /* File: FLSolver.m:189 */ /* Flag: untranslated */ /* File: FLStatics.m:1619 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1660 */ /* Flag: untranslated */ "degrees" = "grados"; /* File: FLDynamics.m:4064 */ /* Flag: untranslated */ /* File: ObjectData.m:1041 */ /* Flag: untranslated */ /* File: ObjectData.m:1051 */ /* Flag: untranslated */ "Relative to" = "Relativo a"; /* File: FLStaticsRigidBodies.m:1283 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1319 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1344 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1400 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1436 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1461 */ /* Flag: untranslated */ "[compression] " = "[compresi\U00F3n] "; /* File: FLStaticsRigidBodies.m:1289 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1325 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1350 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1394 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1430 */ /* Flag: untranslated */ /* File: FLStaticsRigidBodies.m:1455 */ /* Flag: untranslated */ "[tension] " = "[tensi\U00F3n] "; /* File: FLStaticsRigidBodies.m:1586 */ /* Flag: untranslated */ /* File: ObjectData.m:1422 */ /* Flag: untranslated */ "Points" = "Puntos"; /* File: FLStaticsRigidBodies.m:1587 */ /* Flag: untranslated */ /* File: ObjectData.m:1454 */ /* Flag: untranslated */ "Beam" = "Viga"; /* File: FLStaticsRigidBodies.m:1588 */ /* Flag: untranslated */ /* File: ObjectData.m:1461 */ /* Flag: untranslated */ "Solid" = "S\U00F3lido"; /* File: FLStaticsRigidBodies.m:1589 */ /* Flag: untranslated */ /* File: ObjectData.m:1553 */ /* Flag: untranslated */ "Truss" = "Armadura"; /* File: HelpPanelController.m:51 */ /* Flag: untranslated */ /* File: HelpPanelController.m:223 */ /* Flag: untranslated */ "Introduction" = "Introducci\U00F3n"; /* File: HelpPanelController.m:57 */ /* Flag: untranslated */ /* File: HelpPanelController.m:166 */ /* Flag: untranslated */ "Linear Kinematics of Particles" = "Cinem\U00E1tica Lineal de Part\U00EDculas"; /* File: HelpPanelController.m:63 */ /* Flag: untranslated */ /* File: HelpPanelController.m:168 */ /* Flag: untranslated */ "Examples Linear Kinematics" = "Ejemplos de Cinem\U00E1tica Lineal"; /* File: HelpPanelController.m:69 */ /* Flag: untranslated */ /* File: HelpPanelController.m:170 */ /* Flag: untranslated */ "Kinematics of Circular Motion of Particles" = "Cinem\U00E1tica Circular de Part\U00EDculas"; /* File: HelpPanelController.m:75 */ /* Flag: untranslated */ /* File: HelpPanelController.m:172 */ /* Flag: untranslated */ "Examples Circular Motion Kinematics" = "Ejemplos de Cinem\U00E1tica Circular"; /* File: HelpPanelController.m:81 */ /* Flag: untranslated */ /* File: HelpPanelController.m:182 */ /* Flag: untranslated */ "Statics of Particles" = "Est\U00E1tica de Part\U00EDculas"; /* File: HelpPanelController.m:87 */ /* Flag: untranslated */ /* File: HelpPanelController.m:184 */ /* Flag: untranslated */ "Examples Statics of Particles" = "Ejemplos de Est\U00E1tica de Part\U00EDculas"; /* File: HelpPanelController.m:93 */ /* Flag: untranslated */ /* File: HelpPanelController.m:186 */ /* Flag: untranslated */ "Statics of Rigid Bodies" = "Est\U00E1tica de Cuerpos R\U00EDgidos"; /* File: HelpPanelController.m:99 */ /* Flag: untranslated */ /* File: HelpPanelController.m:188 */ /* Flag: untranslated */ "Examples Statics of Rigid Bodies" = "Ejemplos de Est\U00E1tica R\U00EDgida"; /* File: HelpPanelController.m:105 */ /* Flag: untranslated */ /* File: HelpPanelController.m:198 */ /* Flag: untranslated */ "Linear Dynamics of Particles" = "Din\U00E1mica Lineal de Part\U00EDculas"; /* File: HelpPanelController.m:111 */ /* Flag: untranslated */ /* File: HelpPanelController.m:200 */ /* Flag: untranslated */ "Examples Linear Dynamics" = "Ejemplos de Din\U00E1mica Lineal"; /* File: HelpPanelController.m:117 */ /* Flag: untranslated */ /* File: HelpPanelController.m:202 */ /* Flag: untranslated */ "Circular Dynamics of particles" = "Din\U00E1mica Circular de Part\U00EDculas"; /* File: HelpPanelController.m:123 */ /* Flag: untranslated */ /* File: HelpPanelController.m:204 */ /* Flag: untranslated */ "Examples Circular Dynamics" = "Ejemplos de Din\U00E1mica Circular"; /* File: HelpPanelController.m:129 */ /* Flag: untranslated */ /* File: HelpPanelController.m:214 */ /* Flag: untranslated */ "Dilatation, Ideal gas and Calorimetry" = "Dilataci\U00F3n, Gases ideales y Calorimetr\U00EDa"; /* File: HelpPanelController.m:135 */ /* Flag: untranslated */ /* File: HelpPanelController.m:216 */ /* Flag: untranslated */ "Examples of Dilation, Ideal gas ..." = "Ejemplos de Dilataci\U00F3n, Gases ideales ..."; /* File: HelpPanelController.m:141 */ /* Flag: untranslated */ /* File: HelpPanelController.m:243 */ /* Flag: untranslated */ "GNU Free Documentation License" = "GNU Free Documentation License"; /* File: HelpPanelController.m:161 */ /* Flag: untranslated */ /* File: HelpPanelController.m:227 */ /* Flag: untranslated */ /* File: HelpPanelController.m:251 */ /* Flag: untranslated */ /* File: HelpPanelController.m:269 */ /* Flag: untranslated */ "Kinematics" = "Cinem\U00E1tica"; /* File: HelpPanelController.m:177 */ /* Flag: untranslated */ /* File: HelpPanelController.m:231 */ /* Flag: untranslated */ /* File: HelpPanelController.m:252 */ /* Flag: untranslated */ /* File: HelpPanelController.m:273 */ /* Flag: untranslated */ "Statics" = "Est\U00E1tica"; /* File: HelpPanelController.m:193 */ /* Flag: untranslated */ /* File: HelpPanelController.m:235 */ /* Flag: untranslated */ /* File: HelpPanelController.m:253 */ /* Flag: untranslated */ /* File: HelpPanelController.m:277 */ /* Flag: untranslated */ "Dynamics" = "Din\U00E1mica"; /* File: HelpPanelController.m:209 */ /* Flag: untranslated */ /* File: HelpPanelController.m:239 */ /* Flag: untranslated */ /* File: HelpPanelController.m:254 */ /* Flag: untranslated */ /* File: HelpPanelController.m:281 */ /* Flag: untranslated */ "Thermodynamics" = "Termodin\U00E1mica"; /* File: FLThermodynamics.m:110 */ /* Flag: untranslated */ /* File: ObjectData.m:1837 */ /* Flag: untranslated */ "Substance" = "Substancia"; /* File: TablesManager.m:45 */ /* Flag: untranslated */ /* File: TablesManager.m:117 */ /* Flag: untranslated */ "pressure" = "Presi\U00F3n"; /* File: TablesManager.m:49 */ /* Flag: untranslated */ /* File: TablesManager.m:121 */ /* Flag: untranslated */ "temperature" = "Temperatura"; /* File: TablesManager.m:53 */ /* Flag: untranslated */ /* File: TablesManager.m:125 */ /* Flag: untranslated */ /* File: TablesManager.m:567 */ /* Flag: untranslated */ "density" = "Densidad"; /* File: TablesManager.m:57 */ /* Flag: untranslated */ /* File: TablesManager.m:129 */ /* Flag: untranslated */ /* File: TablesManager.m:518 */ /* Flag: untranslated */ /* File: TablesManager.m:523 */ /* Flag: untranslated */ /* File: TablesManager.m:527 */ /* Flag: untranslated */ /* File: TablesManager.m:546 */ /* Flag: untranslated */ /* File: TablesManager.m:551 */ /* Flag: untranslated */ /* File: TablesManager.m:555 */ /* Flag: untranslated */ /* File: TablesManager.m:569 */ /* Flag: untranslated */ /* File: TablesManager.m:571 */ /* Flag: untranslated */ "density-l" = "Densidad L."; /* File: TablesManager.m:61 */ /* Flag: untranslated */ /* File: TablesManager.m:133 */ /* Flag: untranslated */ /* File: TablesManager.m:532 */ /* Flag: untranslated */ /* File: TablesManager.m:537 */ /* Flag: untranslated */ /* File: TablesManager.m:541 */ /* Flag: untranslated */ /* File: TablesManager.m:547 */ /* Flag: untranslated */ /* File: TablesManager.m:553 */ /* Flag: untranslated */ /* File: TablesManager.m:574 */ /* Flag: untranslated */ /* File: TablesManager.m:576 */ /* Flag: untranslated */ "density-v" = "Densidad V."; /* File: TablesManager.m:69 */ /* Flag: untranslated */ /* File: TablesManager.m:141 */ /* Flag: untranslated */ /* File: TablesManager.m:586 */ /* Flag: untranslated */ /* File: TablesManager.m:591 */ /* Flag: untranslated */ /* File: TablesManager.m:595 */ /* Flag: untranslated */ /* File: TablesManager.m:614 */ /* Flag: untranslated */ /* File: TablesManager.m:619 */ /* Flag: untranslated */ /* File: TablesManager.m:623 */ /* Flag: untranslated */ /* File: TablesManager.m:637 */ /* Flag: untranslated */ /* File: TablesManager.m:639 */ /* Flag: untranslated */ "volume-l" = "Volumen L."; /* File: TablesManager.m:73 */ /* Flag: untranslated */ /* File: TablesManager.m:145 */ /* Flag: untranslated */ /* File: TablesManager.m:600 */ /* Flag: untranslated */ /* File: TablesManager.m:605 */ /* Flag: untranslated */ /* File: TablesManager.m:609 */ /* Flag: untranslated */ /* File: TablesManager.m:615 */ /* Flag: untranslated */ /* File: TablesManager.m:621 */ /* Flag: untranslated */ /* File: TablesManager.m:642 */ /* Flag: untranslated */ /* File: TablesManager.m:644 */ /* Flag: untranslated */ "volume-v" = "Volumen V."; /* File: TablesManager.m:77 */ /* Flag: untranslated */ /* File: TablesManager.m:149 */ /* Flag: untranslated */ /* File: TablesManager.m:703 */ /* Flag: untranslated */ "enthalpy" = "Entalp\U00EDa"; /* File: TablesManager.m:81 */ /* Flag: untranslated */ /* File: TablesManager.m:153 */ /* Flag: untranslated */ /* File: TablesManager.m:654 */ /* Flag: untranslated */ /* File: TablesManager.m:659 */ /* Flag: untranslated */ /* File: TablesManager.m:663 */ /* Flag: untranslated */ /* File: TablesManager.m:682 */ /* Flag: untranslated */ /* File: TablesManager.m:687 */ /* Flag: untranslated */ /* File: TablesManager.m:691 */ /* Flag: untranslated */ /* File: TablesManager.m:705 */ /* Flag: untranslated */ /* File: TablesManager.m:707 */ /* Flag: untranslated */ "enthalpy-l" = "Entalp\U00EDa L."; /* File: TablesManager.m:85 */ /* Flag: untranslated */ /* File: TablesManager.m:157 */ /* Flag: untranslated */ /* File: TablesManager.m:668 */ /* Flag: untranslated */ /* File: TablesManager.m:673 */ /* Flag: untranslated */ /* File: TablesManager.m:677 */ /* Flag: untranslated */ /* File: TablesManager.m:683 */ /* Flag: untranslated */ /* File: TablesManager.m:689 */ /* Flag: untranslated */ /* File: TablesManager.m:710 */ /* Flag: untranslated */ /* File: TablesManager.m:712 */ /* Flag: untranslated */ "enthalpy-v" = "Entalp\U00EDa V."; /* File: TablesManager.m:89 */ /* Flag: untranslated */ /* File: TablesManager.m:161 */ /* Flag: untranslated */ /* File: TablesManager.m:655 */ /* Flag: untranslated */ /* File: TablesManager.m:661 */ /* Flag: untranslated */ /* File: TablesManager.m:669 */ /* Flag: untranslated */ /* File: TablesManager.m:675 */ /* Flag: untranslated */ /* File: TablesManager.m:715 */ /* Flag: untranslated */ /* File: TablesManager.m:717 */ /* Flag: untranslated */ "enthalpy-delta" = "Entalp\U00EDa \U0394"; /* File: TablesManager.m:93 */ /* Flag: untranslated */ /* File: TablesManager.m:165 */ /* Flag: untranslated */ /* File: TablesManager.m:771 */ /* Flag: untranslated */ "entropy" = "Entrop\U00EDa"; /* File: TablesManager.m:97 */ /* Flag: untranslated */ /* File: TablesManager.m:169 */ /* Flag: untranslated */ /* File: TablesManager.m:722 */ /* Flag: untranslated */ /* File: TablesManager.m:727 */ /* Flag: untranslated */ /* File: TablesManager.m:731 */ /* Flag: untranslated */ /* File: TablesManager.m:750 */ /* Flag: untranslated */ /* File: TablesManager.m:755 */ /* Flag: untranslated */ /* File: TablesManager.m:759 */ /* Flag: untranslated */ /* File: TablesManager.m:773 */ /* Flag: untranslated */ /* File: TablesManager.m:775 */ /* Flag: untranslated */ "entropy-l" = "Entrop\U00EDa L."; /* File: TablesManager.m:101 */ /* Flag: untranslated */ /* File: TablesManager.m:173 */ /* Flag: untranslated */ /* File: TablesManager.m:736 */ /* Flag: untranslated */ /* File: TablesManager.m:741 */ /* Flag: untranslated */ /* File: TablesManager.m:745 */ /* Flag: untranslated */ /* File: TablesManager.m:751 */ /* Flag: untranslated */ /* File: TablesManager.m:757 */ /* Flag: untranslated */ /* File: TablesManager.m:778 */ /* Flag: untranslated */ /* File: TablesManager.m:780 */ /* Flag: untranslated */ "entropy-v" = "Entrop\U00EDa V."; /* File: TablesManager.m:105 */ /* Flag: untranslated */ /* File: TablesManager.m:177 */ /* Flag: untranslated */ /* File: TablesManager.m:723 */ /* Flag: untranslated */ /* File: TablesManager.m:729 */ /* Flag: untranslated */ /* File: TablesManager.m:737 */ /* Flag: untranslated */ /* File: TablesManager.m:743 */ /* Flag: untranslated */ /* File: TablesManager.m:783 */ /* Flag: untranslated */ /* File: TablesManager.m:785 */ /* Flag: untranslated */ "entropy-delta" = "Entrop\U00EDa \U0394"; /* File: TablesManager.m:65 */ /* Flag: untranslated */ /* File: TablesManager.m:137 */ /* Flag: untranslated */ /* File: TablesManager.m:635 */ /* Flag: untranslated */ "volume" = "Volumen"; /* File: TablesManager.m:519 */ /* Flag: untranslated */ /* File: TablesManager.m:525 */ /* Flag: untranslated */ /* File: TablesManager.m:533 */ /* Flag: untranslated */ /* File: TablesManager.m:539 */ /* Flag: untranslated */ /* File: TablesManager.m:579 */ /* Flag: untranslated */ /* File: TablesManager.m:581 */ /* Flag: untranslated */ "density-delta" = "Densidad \U0394"; /* File: TablesManager.m:563 */ /* Flag: untranslated */ /* File: TablesManager.m:631 */ /* Flag: untranslated */ /* File: TablesManager.m:699 */ /* Flag: untranslated */ /* File: TablesManager.m:767 */ /* Flag: untranslated */ /* File: TablesManager.m:835 */ /* Flag: untranslated */ "No available" = "No disponible"; /* File: TablesManager.m:587 */ /* Flag: untranslated */ /* File: TablesManager.m:593 */ /* Flag: untranslated */ /* File: TablesManager.m:601 */ /* Flag: untranslated */ /* File: TablesManager.m:607 */ /* Flag: untranslated */ /* File: TablesManager.m:647 */ /* Flag: untranslated */ /* File: TablesManager.m:649 */ /* Flag: untranslated */ "volume-delta" = "Volumen \U0394"; /* File: TablesManager.m:790 */ /* Flag: untranslated */ /* File: TablesManager.m:795 */ /* Flag: untranslated */ /* File: TablesManager.m:799 */ /* Flag: untranslated */ /* File: TablesManager.m:818 */ /* Flag: untranslated */ /* File: TablesManager.m:823 */ /* Flag: untranslated */ /* File: TablesManager.m:827 */ /* Flag: untranslated */ /* File: TablesManager.m:841 */ /* Flag: untranslated */ /* File: TablesManager.m:843 */ /* Flag: untranslated */ "energy-l" = "Energ\U00EDa L."; /* File: TablesManager.m:791 */ /* Flag: untranslated */ /* File: TablesManager.m:797 */ /* Flag: untranslated */ /* File: TablesManager.m:805 */ /* Flag: untranslated */ /* File: TablesManager.m:811 */ /* Flag: untranslated */ /* File: TablesManager.m:851 */ /* Flag: untranslated */ /* File: TablesManager.m:853 */ /* Flag: untranslated */ "energy-delta" = "Energ\U00EDa \U0394"; /* File: TablesManager.m:804 */ /* Flag: untranslated */ /* File: TablesManager.m:809 */ /* Flag: untranslated */ /* File: TablesManager.m:813 */ /* Flag: untranslated */ /* File: TablesManager.m:819 */ /* Flag: untranslated */ /* File: TablesManager.m:825 */ /* Flag: untranslated */ /* File: TablesManager.m:846 */ /* Flag: untranslated */ /* File: TablesManager.m:848 */ /* Flag: untranslated */ "energy-v" = "Energ\U00EDa V."; /*** Unmatched/untranslated keys ***/ /* File: ObjectData.m:1970 */ /* Flag: untranslated */ "Factors" = "Factores"; /* File: PropertiesWindowController.m:74 */ /* Flag: untranslated */ "The provided data is out of range. \n" = "La informaci\U00F3n prove\U00EDda esta fuera de rango. \n"; /* File: TablesManager.m:839 */ /* Flag: untranslated */ "energy" = "Energ\U00EDa"; trunk/Documentation/COPYING.txt0000777000076400007640000000037012734077040016232 0ustar germangermanCopyright (C) 2014 German A. 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