A flywheel of rotational inertia, I, is rotating with an initial angular velocity of o, . The flywheel experiences a retarding torque according to the equation, t =- ko. a. Determine an expression for the angular velocity, o, as a function of time, t. Express your answer in terms of m,,k, t, I, and fundamental constants. b. Determine an expression for the angular displacement, A0 , as a function of time. Express your answer in terms of o.,k, t, I, and fundamental constants. c. Determine an expression for the rate of change of the angular momentum of the flywheel| with respect to time. Express your answer in terms of m.,k, t, I, and fundamental constants.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A flywheel of rotational inertia, I, is rotating with an initial angular velocity of o,. The
flywheel experiences a retarding torque according to the equation, t =- ko .
a. Determine an expression for the angular velocity, w, as a function of time, t.
Express your answer in terms of m, k, t, I, and fundamental constants.
b. Determine an expression for the angular displacement, A0 , as a function of time.
Express your answer in terms of o,, k, t, I, and fundamental constants.
c. Determine an expression for the rate of change of the angular momentum of the
flywheel with respect to time. Express your answer in terms of w,, k, t, I, and
fundamental constants.
Transcribed Image Text:A flywheel of rotational inertia, I, is rotating with an initial angular velocity of o,. The flywheel experiences a retarding torque according to the equation, t =- ko . a. Determine an expression for the angular velocity, w, as a function of time, t. Express your answer in terms of m, k, t, I, and fundamental constants. b. Determine an expression for the angular displacement, A0 , as a function of time. Express your answer in terms of o,, k, t, I, and fundamental constants. c. Determine an expression for the rate of change of the angular momentum of the flywheel with respect to time. Express your answer in terms of w,, k, t, I, and fundamental constants.
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