Answered: A disk at rest experiences a constant…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 4WUE: A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00...

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A disk at rest experiences a constant angular acceleration for t = 35 s, at the end of which it is spinning with a frequency of f = 35 rpm. Please answer the following questions.

1) Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency.

ω =

2) Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 35 s.

ω =

3) Write an expression for the average angular acceleration of the disk α_ave in terms of angular velocity.

α_ave =

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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