Momentum and Impulse for a flywheel

AI Thread Summary
To determine the time required for the flywheel to come to rest, first calculate the angular retardation (alpha) using the formula alpha = torque/moment of inertia. With a moment of inertia of 854 kgm^2 and a resisting moment of 14 Nm, alpha equals 14/854, resulting in an angular retardation of approximately 0.0164 rad/s². Next, apply kinematic equations to find the time, using the initial angular velocity of 0.785 rad/s and the calculated angular retardation. This will yield the time needed for the flywheel to stop completely.
richiecky
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Hey. Just wondering if I could get a little help with this quest please.

A flywheel has a moment of inertia of 854kgm^s, and is allowed to come to rest from and angular velocity of 450rpm. Knowing that kinetic friction produces a resisting moment of magnitude 14Nm, determine the time required for the flywheel to come to rest.

well, i know that 450x(2pi/60) = 47.12 rad/min = 0.785rad/sec
so 0.785 is the intial angular velocity..

but am not sure where to go from here.
Could someone point me in the right direction please?
Thanks
 
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Moment of inertia of the flywheel and torque on it is given. From thewse values find the angular retardation alpha, which is equal = torque/I. Then using kinematics find the time.
 

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