Answer
$5\pi$
Work Step by Step
Given an angular speed of $\omega=\frac{\pi}{2}\ rad/sec$, we can find its linear speed as $v=\omega r=\frac{\pi}{2}\ unit/sec$. In $10\ sec$, the distance traveled will be $s=vt=\frac{\pi}{2}\times10=5\pi\ units$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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 587: 12
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