College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 5 - Problems - Page 185: 14


(a) An insect moves with a speed of $31.3~m/s$ (b) The angular speed is $31.3~rad/s$

Work Step by Step

(a) We can find an insect's speed: $a_c = \frac{v^2}{r}$ $v = \sqrt{a_c~r}$ $v = \sqrt{(980~m/s^2)(1.0~m)}$ $v = 31.3~m/s$ An insect moves with a speed of $31.3~m/s$ (b) We can find the angular speed: $\omega = \frac{v}{r}$ $\omega = \frac{31.3~m/s}{1.0~m}$ $\omega = 31.3~rad/s$ The angular speed is $31.3~rad/s$
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