×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide

An experimental bicycle wheel is placed on a test stand so

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 58P Chapter 10

University Physics | 13th Edition

  • Textbook Solutions
  • 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 1 245 Reviews
21
1
Problem 58P

An experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a constant net torque of 7.00 N · m is applied to the tire for 2.00 s, the angular speed of the tire increases from 0 to 100 rev/min. The external torque is then removed, and the wheel is brought to rest by friction in its bearings in 125 s. Compute (a) the moment of inertia of the wheel about the rotation axis; (b) the friction torque; (c) the total number of revolutions made by the wheel in the 125-s time interval.

Step-by-Step Solution:

Solution 58 P Step 1: Data given Torque = 7.00 N Time t 1 2.00 s Angular velocity = 100 rev /min = 100 rev/60sec × ( 2 rad/1 rev) = 10.47 rad /sec This can be approximated to = 10.5 rad /sec Time to stop t = 125 s 2 We need to find the moment of inertia of the wheel about the rotation axis We shall the acceleration of the wheel It is given by = / t Substitute the values as = 10.5 rad /sec , t = 2.0 s We get = 10.5 rad /sec/ 2.0 s 2 = 5.25 rad/sec Step 2 : The moment of inertia is given by = I Rearrange to find I we have I = / Substitute the values as = 7.00 N = 5.25 rad/sec 2 We get I = 7.00 N/5.25 rad/sec 2 2 I = 1.33 Kg m 2 Hence we have the moment of inertia as 1.33 Kg m

Step 3 of 4

Chapter 10, Problem 58P is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

An experimental bicycle wheel is placed on a test stand so

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
×
Reset your password