University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 3 - Motion in Two or Three Dimensions - Problems - Exercises - Page 94: 3.24

Answer

$a_R = 24.9~m/s^2$ $a_R = 2.54~g$

Work Step by Step

$v = (3.0~rev/s)(2\pi\cdot 0.070~m/rev) = 0.42~\pi~m/s$ $a_R = \frac{v^2}{r} = \frac{(0.42\pi~m/s)^2}{0.070~m}$ $a_R = 24.9~m/s^2$ $a_R = \frac{24.9~m/s^2}{9.80~m/s^2}g = 2.54~g$
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