University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 10 - Dynamics of Rotational Motion - Problems - Exercises - Page 329: 10.9

Answer

$8.38 N \cdot m$.

Work Step by Step

Apply Newton’s second law for rotations. Calculate the angular acceleration. $$\frac{400rev}{60s}\frac{2 \pi rad}{rev}\frac{1}{8.00s}=5.24\frac{rad}{s^2}$$ Now calculate the net torque. $$\tau=I\alpha=1.60kg\cdot m^2 (5.24\frac{rad}{s^2})=8.38 N \cdot m $$
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