Answered: Cable pulls on a uniform hollow…

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 20PQ: A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find...

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Question

Cable pulls on a uniform hollow cylinder with force T = 10.2 N. The hollow cylinder has mass M = 2.50 kg, and inner and outer radii of
r = 18.0 cm and R = 30.0 cm respectively. What
is the magnitude of resulting angular acceleration of
the hollow cylinder? I = (1/2)M(R^2 + r^2)

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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