Lab 7 - Lab 7: The First Law of Thermodynamics Performed...

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Lab 7: The First Law of Thermodynamics Performed On: 02/24/2012 Due On: 03/02/2012 Names: Brian Wilhelm Andy Gutting Weston Wands Brian Cosey David Bonsaver
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Abstract: The purpose of this lab experiment was to investigate the state of a mechanical system as described by the First Law of Thermodynamics. To do so, a nylon cord wrapped around a cylindrical aluminum spool was utilized. The end of the nylon cord was weighed down with 10 kilograms (kg) keeping it in place as the spool was manually cranked creating friction, and thus heat, between the spool and nylon cord before allowing the cylinder to cool. The temperature of the spool was calculated from the resistance measured at 10 second (s) intervals for the heating phase and 60 s intervals for the cooling phase. With this data it was possible to graph the temperature (T) vs. time (s) with which the alpha parameter () was calculated by fitting the curve to a decaying exponential function (). The values calculated were c = for the cooling curve and h = - .004629 0.001079 for the heating curve. Although the negative value of h and the fact that h and c were not found to be equal is inconsistent with known laws, these can likely be attributed to errors in the experiment such as an inconsistent angular velocity () of the spool. Introduction: The purpose of this lab was to investigate the energy balance of a mechanical system between heat energy transfer, work done, and changes in internal energy, as described by the first law of thermodynamics in an aluminum cylinder rotated against a tangential frictional force. Also investigated was the relationship between the heat transferred to a system and the change in temperature of the system in order to determine if heat is conserved in accordance with the First Law of Thermodynamics. In order to accomplish this, the following physical relationships were utilized in this experiment.
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(1) (2) (3) (4) (5) Where: = Torque on spool due to nylon cord = The complete angle through which the spool was rotated N = Number of turns M = Mass hanging from nylon cord (10kg) = Heat capacity g = Gravitational constant (9.81 m/s 2 ) R = Radius of spool (2.382 cm) = Cooling parameter = Angular Velocity Procedure: The set up for this lab experiment involved a nylon cord wrapped around a cylindrical aluminum spool
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Lab 7 - Lab 7: The First Law of Thermodynamics Performed...

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