## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 132: 51

#### Answer

The angular speed of the propeller is 523.6 rad/s

#### Work Step by Step

The propeller rotates through an angle of $2\pi$ radians 5000 times each minute. We can find the angular speed of the propeller: $\omega = \frac{\theta}{t}$ $\omega = \frac{(2\pi~rad)(5000)}{60~s}$ $\omega = 523.6~rad/s$ The angular speed of the propeller is 523.6 rad/s

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