Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Chapter Review - Review Exercises - Page 459: 51


$114.59 \dfrac{rev}{hour}$

Work Step by Step

The circumference is given by: $C=2 \pi r$ where $ r$ is the radius. We know that the radius is half of the diameter (D). Here $C=(2 ) (\pi)(\dfrac{1}{4})=\dfrac{\pi}{2}$ Thus, the angular speed $ \nu$ can be computed as: $\dfrac{\nu}{C}=\dfrac {180 \ mph}{(\dfrac{\pi}{2}) \ \dfrac{miles}{rev}} \approx 114.59 \dfrac{rev}{hour}$
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