Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 9 - Rotational Dynamics - Problems - Page 245: 31

Answer

$\sum\tau=8.03\times10^{-4}N.m$

Work Step by Step

1) Find the angular acceleration of the CD We have $\omega_0=0$, $\omega=21rad/s$ and $t=0.8s$. Therefore, $$\alpha=\frac{\omega-\omega_0}{t}=26.25rad/s^2$$ 2) The net torque acting on the CD is $$\sum\tau=I\alpha$$ From Table 9.1, the moment of inertia of the disk $T=\frac{1}{2}mr^2$ $$\sum\tau=\frac{1}{2}mr^2\alpha$$ We have $m=17g=1.7\times10^{-2}kg$ and $r=6cm=6\times10^{-2}m$ $$\sum\tau=8.03\times10^{-4}N.m$$
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