Answer
$168\pi\ m/min$
Work Step by Step
The flywheel moves $2\pi\times42=84\pi$ radians per minute, thus $\omega=\frac{84\pi}{1}=84\pi\ rad/min$ and the linear speed is $v=r\omega=2\times84\pi=168\pi\ m/min$
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 590: 115
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