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: 100

Answer

$\frac{1}{8}\ rad/sec$, $\frac{1}{4}\ m/s$

Work Step by Step

Given $r=2m, t=20sec\rightarrow s=5m$, we have the angle traveled as $\theta=\frac{s}{r}=\frac{5}{2}$ and the angular speed $\omega=\frac{5}{2}\div20=\frac{1}{8}\ rad/sec$. We can find the linear speed as $v=\omega r=\frac{1}{8}\times2=\frac{1}{4}\ m/s$
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