Answered: A flywheel turns through 40 rev as it…

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 3P

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Question

A flywheel turns through 40 rev as it slows from an
angular speed of 1.5 rad/s to a stop. (a) Assuming a constant angular
acceleration, find the time for it to come to rest. (b)What is its
angular acceleration? (c) How much time is required for it to complete
the first 20 of the 40 revolutions?

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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