Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Review - Test - Page 531: 3

Answer

(a) $753.98 $ radian per minute (b) $12063.7$ ft/min

Work Step by Step

(a) The length of the rotor blade is the radius $r=16ft$, and the frequency $f=120rpm$ The angular speed $\omega$ of the rotor is give by $\omega=2\pi f=240\pi\approx753.98 $ radian per minute (b) The linear speed $v$ of a point on the tip of a blade is given by $v=r\omega=16\times240\pi\approx12063.7$ ft/min (about 137 mile/hour)
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