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: 39c

Answer

$\approx 67,000 \text{ miles per hour}$

Work Step by Step

From part (b), the angular speed is $\dfrac{\pi}{4380}\text{ radians per hour}$ Thus, to find the linear speed of Earth in miles per hour, use the formula $v=r\omega$ to obtain: \begin{align*} v&=93,000,000\left(\frac{\pi}{4380}\right)\\\\ v&\approx67,000\text{ mph} \end{align*}
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