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 590: 119

Answer

$16.6\ mph$

Work Step by Step

The tire moves $2\pi\times215=430\pi$ radians per minute, thus $\omega=1360\pi\ rad/min$ and the linear speed is $v=r\omega=13\times430\pi=5590\pi\ in/min=5590\pi\times\frac{60}{12\times5280}\ mi/hr\approx16.6\ mph$
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