A wheel is turning at 10 rev/s initially. if it is deceleratedat the rate of 2 r

Question

A wheel is turning at 10 rev/s initially. if it is deceleratedat the rate of 2 rev/s^2, a) How long before the angular velocity is zero? b) What is the angular displacement of the wheel in coming torest? c) what are the tangential and radial accelerations of a point5 cm from the center of the wheel? A wheel is turning at 10 rev/s initially. if it is deceleratedat the rate of 2 rev/s^2, a) How long before the angular velocity is zero? b) What is the angular displacement of the wheel in coming torest? c) what are the tangential and radial accelerations of a point5 cm from the center of the wheel?

Explanation / Answer

initial angular velocity = 10 rev/s = 20 rad/s,fnal angular velocity ' = 0 angular acceleration = -2 rev/s2 = -4rad/s2 a) time t = (' - )/ = 5.0 s b) the angular displacement = ('2 -2)/(2) = 157 rad c) r = 5 cm at = t = -62.8 cm/s an = ( + t)2r = (20 -4t)2*5 cm/s2 an is a function of time t

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