Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 8 - Rotational Motion - Problems - Page 226: 66

Answer

(a) $L=10.1 \frac{Kgm^2}{s}$ (b) $\tau=-2.5Nm$

Work Step by Step

(a) We can find the angular momentum as $L=I\omega$ $L=\frac{1}{2}mr^2\omega$ (Because moment of inertia$I=mr^2$) We plug in the known values to obtain: $L=\frac{1}{2}(48)(0.15)^2(3)(2\pi)=10.1\frac{Kg m^2}{s}$ (b) We can find the torque as: $\tau=\frac{\Delta L}{\Delta t}$ We plug in the known values to obtain: $\tau=\frac{0-10.1}{4}=-2.5Nm$
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