Problem on work done in thermodynamics

AI Thread Summary
The discussion revolves around a thermodynamics problem involving a paddle stirring paint, where a torque of 16.0 Nm at an angular velocity of 28.0 rad/s is applied. The internal energy increase of 12.5 kJ raises the paint's temperature by 1.00 K, and the task is to determine the temperature change after stirring for 5 minutes without heat flow to the surroundings. Participants seek to establish a relationship between power, torque, and angular velocity to calculate the energy input over the given time. The first law of thermodynamics is referenced to relate internal energy change to work done. Understanding power input is crucial for solving the problem effectively.
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Homework Statement


A paddle turns at 28.0 rad/s and exerts a torque of 16.0 Nm to stir the paint.
Internal energy increase of 12.5kJ causes the temperature of the paint to increase by 1.00K.
If there where no heat flow between the paint and the surroundings, what is the change in temperature as it is stirred for 5mins?


Homework Equations


Change of Internal energy, Delta U = Q * Wd
(first law of thermodynamics)

The Attempt at a Solution


I do not know how to start nor attempt...
 
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Is there an equation that relates power, torque, and angular velocity?

They tell you how much energy is needed to raise the temperature of the paint 1 K.

If we can figure the power input, then we can figure the energy added in 5 minutes (think of definition of power).
 
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