A capstan is a rotating drum or cylinder over which a rope or cord slides to provide a great amplification of the rope's tension while keeping both ends free
http://session.masteringphysics.com/problemAsset/1006856/15/36898.jpg
Since the added tension in the rope is due to friction, the capstan generates thermal energy.
A)
If the difference in tension (T_0-T') between the two ends of the rope is 520 N and the capstan has a diameter of 10.0 cm and turns once in 0.90 seconds, find the rate P_thermal at which thermal energy is being generated.
Give a numerical answer, in watts, rounded to the nearest 10 W.
B)
If the capstan is made of iron (with a specific heat capacity C=470 J/(kg C) and has a mass of 6.00 kg, at what rate dTheta/dt does its temperature rise? Assume that the temperature in the capstan is uniform and that all the thermal energy generated flows into it.
Note that Theta is a temperature.
Give answer in degrees Celsius.
2007-11-17
08:18:11
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3 answers
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asked by
John D
1