Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.2 The Unit Circle and Circular Functions - 6.2 Exercises - Page 591: 123

Answer

(a) $3.1\ cm/sec$ (b) $0.24\ rad/sec$

Work Step by Step

(a) the linear speed of the belt can be found as $v=\frac{56}{18}\approx3.1\ cm/sec$ (b) the angular speed of the pulley can be found as $\omega=\frac{v}{r}=\frac{3.1}{12.96}\approx0.24\ rad/sec$
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