Precalculus (10th Edition)

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

Chapter 6 - Trigonometric Functions - Chapter Review - Review Exercises - Page 435: 51



Work Step by Step

We know that circumference$=2\pi\cdot r$, where $r=\text{radius}$, and the radius is the half of the diameter Here $C=2\pi\frac{1}{4}=\frac{\pi}{2}$. We can get the angular speed by: $\frac{v}{C}=\dfrac{180\text{mph}}{\frac{\pi}{2}\frac{\text{miles}}{\text{rev}}}\approx114.59\frac{\text{rev}}{\text{hour}}$.
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