Answer
$\text{False}$
Work Step by Step
Recall that linear speed equals angular speed multiplied by $r$.
$$v=r\omega$$
(and not $\frac{\omega}{r}$ as said in the statement)
Thus, the given statement is false.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 385: 10
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