Answered: The system shown starts from rest at t…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 88A

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Gear A Radius = 0.06 m Gear B Radius = 0.3 m Gear C Radius = 0.36 m

Note that the Load is Connected to Gear B

The system shown starts from rest at t = 0 and accelerates uniformly. Knowing that at t = 4 seconds the velocity of the load is 4.8 m/s downward, determine the angular acceleration of gear A.

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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