A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 4.10 rev/s; 70.0 revolutions later, its angular speed is 17.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 70.0 revolutions, (c) the time required to reach the 4.10 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 4.10 rev/s angular speed.

Given: Initial angular speed, wi = 4.10 rev/s Final angular speed, wf = 17 rev/s…

Answered: A disk rotates about its central axis…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 28PQ

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A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 4.10 rev/s; 70.0 revolutions later, its angular speed is 17.0 rev/s. Calculate (a) the angular acceleration (rev/s²), (b) the time required to complete the 70.0 revolutions, (c) the time required to reach the 4.10 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 4.10 rev/s angular speed.

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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