Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 6 - Force and Motion-II - Problems - Page 144: 55

Answer

$F = 2600~N$

Work Step by Step

It takes 8 flashes to complete one circle. We can find the period $T$: $T = (8)(\frac{1.0~s}{2000}) = 4.0\times 10^{-3}~s$ We can find the speed $v$: $v = \frac{2\pi~r}{T}$ $v = \frac{(2\pi)~(0.035~m)}{4.0\times 10^{-3}~s}$ $v = 55~m/s$ We can find the force on the bolt: $F = \frac{mv^2}{r}$ $F = \frac{(0.030~kg)(55~m/s)^2}{0.035~m}$ $F = 2600~N$
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