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 - Discussion Questions - Page 327: Q10.6

Answer

See explanation.

Work Step by Step

By attaching a grinding wheel to the shaft, the shaft’s moment of inertia is increased. That means that when the motor is turned on, and applies a torque to the shaft, the angular acceleration will be smaller than that of the bare shaft. $$\Sigma \tau = I\alpha$$ $$\alpha = \frac{\Sigma \tau }{I}$$ With a smaller angular acceleration, the shaft takes longer to come up to its final speed.
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