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: 24

Answer

(a) At t = 1 s: $\omega = 6.3~rad/s$ (b) At t = 4 s: $\omega = 0$ (c) At t = 7 s: $\omega = -6.3~rad/s$

Work Step by Step

The angular velocity is the slope of the angular position versus time graph. (a) At t = 1 s: $\omega = \frac{\Delta \theta}{\Delta t}$ $\omega = \frac{4\pi~rad}{2~s}$ $\omega = 6.3~rad/s$ (b) At t = 4 s: $\omega = 0$ (c) At t = 7 s: $\omega = \frac{\Delta \theta}{\Delta t}$ $\omega = \frac{(-2\pi-4\pi)~rad}{3~s}$ $\omega = -6.3~rad/s$
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