Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.1 - Angles and Radian Measure - Exercise Set - Page 534: 111


See the explanation below.

Work Step by Step

The angular velocity of the point is $\frac{\pi }{12}$ radians per hour, which means that the point rotates $\frac{\pi }{12}$ radians in one hour. The rotation of the point in 24 hours is $\begin{align} & \left( 24 \right)\frac{\pi }{12}\ \text{rad}=\frac{24\pi }{12}\ \text{rad} \\ & =2\pi \ \text{rad} \end{align}$ Hence, the point will complete one full revolution in 24 hours because $2\pi $ radians is the measure of one full revolution.
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