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: 38

Answer

$\frac{14}{15}\pi\,mm/s$

Work Step by Step

$r=28\,mm$ $\omega=\frac{\theta}{t}=\frac{2\pi\,rad}{60\,s}=\frac{\pi}{30}\,rad/s$ $v=r\omega= (28\,mm)(\frac{\pi}{30}rad/s)$ $=\frac{14}{15}\pi\,mm/s$
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