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 364: 114

Answer

The linear speed: $2.7\frac{\text{ft}}{\text{s}}$ The angular speed: $0.09\frac{\text{rad}}{\text{s}}$

Work Step by Step

The circumference is: $C=2r\pi=2(30)\pi=60\pi$ ft. The linear speed: $v=\frac{C}{t}=\frac{60\pi}{70}=2.7\frac{\text{ft}}{\text{s}}$ The angular speed: $\omega=\frac{2\pi}{t}=\frac{2\pi}{70}=0.09\frac{\text{rad}}{\text{s}}$
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