University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 9 - Rotation of Rigid Bodies - Problems - Discussion Questions - Page 293: Q9.1

Answer

Formulas A, B, and E are valid even if the angular acceleration is not constant.

Work Step by Step

Formulas A and B correctly relate rates of change at an instant in time, and thus are valid even if these rates vary over time. Formula C relates the angular velocity at 2 different times, and is true only when the angular velocity varies linearly. Formula D is not correct at all – it is the radial acceleration that equals $\omega^2 r$, not the tangential acceleration. Formula E correctly gives the kinetic energy of an object as a function of its instantaneous angular speed, and so this formula remains true even as the angular speed changes.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.