Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapters 1-3 - Cumulative Test - Page 177: 30

Answer

$26.2\,mi/hr$

Work Step by Step

Angular velocity $\omega=2941\,rpm$ $=\frac{2941\, revolutions}{1\,min}\times\frac{2\pi\,rad}{1\, revolution}\times\frac{60\,min}{1\,hr}$ $=352920\pi\,\frac{rad}{hr}$ Radius $r= 1.5\,in$ $=1.5\,in\times\frac{1\,ft}{12\,in}\times\frac{1\,mi}{5280\,ft}$ Linear velocity $v=r\omega$ $=(352920\pi\,rad/hr)(\frac{1.5}{63360}\,mi)$ $=26.2\,mi/hr$
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