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# A capstan is a rotating drum or cylinder over which a rope

ISBN: 9780321675460 31

## Solution for problem 94P Chapter 17

University Physics | 13th Edition

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Problem 94P

A capstan is a rotating drum or cylinder over which a rope or cord slides in order to provide a great amplification of the rope’s tension while keeping both ends free (Fig.). Since the added tension in the rope is due to friction, the capstan generates thermal energy. (a) If the difference in tension between the two ends of the rope is 520.0 N and the capstan has a diameter of 10.0 cm and turns once in 0.900 s, find the rate at which thermal energy is generated. Why does the number of turns not matter? (b) If the capstan is made of iron and has mass 6.00 kg, at what rate does its temperature rise? Assume that the temperature in the capstan is uniform and that all the thermal energy generated flows into it. Figure:

Step-by-Step Solution:

Solution 94P Step 1 of 4: (a) If the difference in tension between the two ends of the rope is 520.0 N and the capstan has a diameter of 10.0 cm and turns once in 0.900 s, find the rate at which thermal energy is generated. Why does the number of turns not matter Given data, Force, F=T= 520 N Diameter, D = 10 cm= 0.1 m Time period, t=0.9 s To find, Rate of thermal energy, P= Step 2 of 4: That is, W P = t Using W = FD(2) FD(2) P = t Substituting F= 520 N,D = 0.1 m, t=0.9 s P = (520 N)(0.1)(2(3.14)) 0.9 P=363 W Therefore, the rate at which thermal energy is generated is 363 W.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A capstan is a rotating drum or cylinder over which a rope or cord slides in order to provide a great amplification of the rope’s tension while keeping both ends free (Fig.). Since the added tension in the rope is due to friction, the capstan generates thermal energy. (a) If the difference in tension between the two ends of the rope is 520.0 N and the capstan has a diameter of 10.0 cm and turns once in 0.900 s, find the rate at which thermal energy is generated. Why does the number of turns not matter? (b) If the capstan is made of iron and has mass 6.00 kg, at what rate does its temperature rise? Assume that the temperature in the capstan is uniform and that all the thermal energy generated flows into it. Figure:” is broken down into a number of easy to follow steps, and 136 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 94P from 17 chapter was answered, more than 369 students have viewed the full step-by-step answer. This full solution covers the following key subjects: capstan, rope, Thermal, tension, Energy. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 94P from chapter: 17 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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