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 125: 27

Answer

$\frac{\pi}{6}$ radian per hr

Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$ Step 2: Since the hour hand of the clock makes one complete rotation in $12$ hours, $\theta=2\pi$ radians in $t=12$ hours. Step 3: Substituting these values in the formula, $w=\frac{2\pi}{12}=\frac{\pi}{6}$ radian per hr
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