Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 4 - Kinematics in Two Dimensions - Exercises and Problems - Page 107: 36


(a) $\alpha = 100~rad/s^2$ (b) $\alpha = 0$ (c) $\alpha = -50~rad/s^2$

Work Step by Step

The angular acceleration is equal to the slope of the angular velocity versus time graph. (a) At t = 1 s: $\alpha = \frac{\Delta \omega}{\Delta t}$ $\alpha = \frac{200~rad/s}{2~s}$ $\alpha = 100~rad/s^2$ (b) At t = 3 s: $\alpha = 0$ (c) At t = 5 s: $\alpha = \frac{\Delta \omega}{\Delta t}$ $\alpha = \frac{-150~rad/s}{3~s}$ $\alpha = -50~rad/s^2$
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