Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding - Page 363: 99

Answer

$\frac{1}{60}\ rad/sec$, $ \frac{1}{12}\ cm/s$

Work Step by Step

Given $r=5cm, 20sec\rightarrow \frac{1}{3} rad$, we have the angular speed $\omega=\frac{1}{3}\div20=\frac{1}{60}\ rad/sec$. We can find the linear speed as $v=\omega r=\frac{1}{60}\times5=\frac{1}{12}\ cm/s$
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