Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 131: 36


$\omega = (10~\pi)~rad/s$ which is $31.4~rad/s$

Work Step by Step

The line rotates through an angle of $2\pi$ radians 300 times in a time of 60 seconds. We can find the angular speed: $\omega = \frac{\theta}{t}$ $\omega = \frac{(2\pi~rad)(300)}{60~s}$ $\omega = 10~\pi~rad/s$ $\omega = 31.4~rad/s$
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