Answered: A torque of 60 N m is applied to a 30…

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotation Of A Rigid Object About A Fixed Axis

Section: Chapter Questions

Problem 37AP: A shaft is turning at 65.0 rad/s at time t = 0. Thereafter, its angular acceleration is given by...

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Question

A torque of 60 N m is applied to a 30 kg solid sphere with a radius of 1.6 m. What is the angular acceleration of the sphere about an axis that goes through the center of the sphere? (in rad/s^2)

1.95

2.00

3.12

1.17

0.781

If the torque is applied for 13.9 s, how many radians does the sphere rotate through if it starts at rest? (in rad)

302

27.1

4.32

193

189

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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