Why use rotational kinetic energy to find angular velocity

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Litcyb
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Homework Statement



I am just confused about Angular momentum.

Homework Equations

KE(rotational)= 1/2Iw^2
Angular momentum= Iw

The Attempt at a Solution



Why can I do the change in KE rotational to calculate the her final angular velocity in 3 revs?
very confused! :( both equations relate to moment of inertia and angular velocity.

Homework Statement


Homework Equations


The Attempt at a Solution

 

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Only angular momentum is conserved here. That's all you need.