Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 124: 25

Answer

$w=\frac{3\pi}{32}$ radians per seconds

Work Step by Step

Step 1: The formula to be used here is $s=rwt$. Step 2: After substituting the values of $s$,$r$ and $t$ provided by the question into this formula, the equation becomes $\frac{3\pi}{4}=2\times w\times 4$ Step 3: Simplifying, $\frac{3\pi}{4}=8w$ Step 4: Multiplying both sides by $\frac{1}{8}$, $\frac{3\pi}{4}\times\frac{1}{8}=8w\times\frac{1}{8}$ Step 5: Simplifying, $w=\frac{3\pi}{32}$ radians per seconds.
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