A pulley of moment of inertia 0.021kg-m^2 and radius 0.12m is acted upon by a force which varies in time as F= 0.23t + 0.12t^2 where F is in Newton and t is in second. suppose that the pulley is initially rotating at 0.18 r/s and the force acts tangentially to the pulley. Find the magnitude of the angular velocity of the pulley two seconds after the force began to act on the pulley.(adsbygoogle = window.adsbygoogle || []).push({});

I was thinking if I can use F(tan) r = I (alpha)

alpha = (0.12m(0.23t+0.12t^2))/0.21kgm^2 to get the accelration and then plug it in

w = wi + (alpha)t to get the velocity?

Is my reasoning correct?

What if I integrate the Force to get the work W, and then W = Kf - Ki?

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# Homework Help: Moment of Inertia help pls

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