Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 125: 41b

Answer

The angular speed of the pulley is 0.24 rad/s

Work Step by Step

We can find the linear speed of the belt: $v = \frac{d}{t}$ $v = \frac{56~cm}{18~s}$ $v = 3.1~cm/s$ The linear speed of the belt is 3.1 cm/s We can find the angular speed of the pulley: $\omega = \frac{v}{r}$ $\omega = \frac{3.1~cm/s}{12.96~cm}$ $\omega = 0.24~rad/s$ The angular speed of the pulley is 0.24 rad/s
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