College Physics (4th Edition)

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

Chapter 8 - Problems - Page 317: 78


The new angular velocity is $15.6~rad/s$

Work Step by Step

We can use conservation of angular momentum to find the final angular velocity: $L_f = L_0$ $I_f~\omega_f = I_0~\omega_0$ $\omega_f = \frac{I_0~\omega_0}{I_f}$ $\omega_f = \frac{(2.50~kg~m^2)(10.0~rad/s)}{1.60~kg~m^2}$ $\omega_f = 15.6~rad/s$ The new angular velocity is $15.6~rad/s$.
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