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## Homework Statement

A pulley, with a rotational inertia of 1.0 x 10^-3 kg*m^2 about its axle and a radius of 10 cm, is acted on tangentially at its rim. the force magnitude varies in time as F=0.50t + 0.30t^2, with F in newtons and t in seconds. The pulley is initially at rest . At t=3.0 s what are its (a) angular acceleration and (b) its angular speed?

## Homework Equations

(a) [tex]\alpha[/tex]= (r*F(3)) / I = 420 rad/sec^2

(b) unsure, but tried using [tex]\omega[/tex]= [tex]\omega[/tex][tex]_{}0[/tex] +[tex]\alpha[/tex]t = 1260 rad/s which is wrong and several other variations of that equation.

## The Attempt at a Solution

(see above)