Answered: An electric motor turns a flywheel…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 37P: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a...

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Question

An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in figure. The flywheel is a solid disk with a mass of 80.0 kg and a radius R=0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of r=0.230 m. The tension T

in the upper ( taut ) segment of the belt is 135 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s

. Find the tension in the lower (slack ) segment of the

belt.

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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