Spinning the wheels: intro to angular momentum

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jaded18
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An object has rotational inertia I. The object, initially at rest, begins to rotate with a constant angular acceleration of magnitude alpha. What is the magnitude of the angular momentum L of the object after time t?
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So I know that I have to find angular velocity and use the equation
L=angular momentum= I(omega) ... so how do i find this omega in terms of alpha and t??

I know that torque = r*F and L = r*momentum ... and F=m(alpha)(r) ? ..
 
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If it were a linear velocity problem, could you find the speed given acceleration and time? Use similar thinking.
 
ah that's too easy .. thanks lots:)