Average Angular Momentum Conservation? mω

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StevenJacobs990
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My textbook talks about the average angular speed that ω = angular displacement / time for the angular displacement to take place.

So the question is like there is m1v1 = m2v2, can the velocity be instead average angular speed to have the conservation of momentum equation like this?
m1ω1 = m2ω2
 
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There is conservation of angular momentum. You need to replace mass by moment of inertia:
I1ω1 = I2ω2