Answered: 1.756-kg sphere of radius 0.31 m is…

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 74PQ

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A 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with the angular velocity in the +z direction. A torque 11.573N∙m acts on the sphere about the center of the sphere in the +x direction. What is the angular acceleration, in rad²/s, of the sphere? (I_sphere = 2/5 MR²)

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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