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

CALC A child is pushing a merry-go-round. The angle

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

Solution for problem 5E Chapter 9

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 1 244 Reviews
11
1
Problem 5E

CALC A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to ?(t) = ?t + ?t3, where ? = 0.400 rad/s and ? = 0.0120 rad/s3. (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the initial value of the angular velocity? (c) Calculate the instantaneous value of the angular velocity ?z at t = 5.00 s and the average angular velocity ?av-z for the time interval t = 0 to t = 5.00 s. Show that ?av-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain.

Step-by-Step Solution:
Step 1 of 3

Solution 5E Angular velocity is the rate of change of angular displacement. Therefore, angular velocity = AngularTimeplaceme…..(1) Given that, (t) =t + t , where = 0.400 rad/s and = 0.0120 rad/s 3 (a) We can calculate the angular velocity as a function of time. This is done as follows. 3 Differentiating (t) =t + t wrt time, d(t) dt = + 3t 2 (t) = + 3t …..(2) This is the required expression for angular velocity as a function of time. (b) The initial value of angular velocity is given at time t = 0. From equation 2, at time t=0 2 (0) = + 3 × 0 (0) = 0.400 rad/s This is the required value of initial angular velocity. (c) At time t = 5.00 s, Angular velocity is (5) = 0.400 rad/s + 3 × 0.0120 rad/s × 5 s 3 2 2 (5) = 1.30 rad/s...

Step 2 of 3

Chapter 9, Problem 5E is Solved
Step 3 of 3

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

This full solution covers the following key subjects: angular, velocity, merry, round, average. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 5E from 9 chapter was answered, more than 392 students have viewed the full step-by-step answer. The answer to “CALC A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to ?(t) = ?t + ?t3, where ? = 0.400 rad/s and ? = 0.0120 rad/s3. (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the initial value of the angular velocity? (c) Calculate the instantaneous value of the angular velocity ?z at t = 5.00 s and the average angular velocity ?av-z for the time interval t = 0 to t = 5.00 s. Show that ?av-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain.” is broken down into a number of easy to follow steps, and 116 words. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 5E from chapter: 9 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:

CALC A child is pushing a merry-go-round. The angle

×
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