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

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

Problem 94P Chapter 17

University Physics | 13th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 0 243 Reviews
11
4
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

Chapter 17, Problem 94P is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
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 297 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.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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

×
Log in to StudySoup
Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 94p

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 94p
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here