From where did the extra KE came from? You are rotating on a frictionless platfo

Question

From where did the extra KE came from?

You are rotating on a frictionless platform, holding weights with your arms extended. (The weights are not necessary, they just make it easier to visual what is happening.) As you bring in your arms, your rotation increases due to conservation of angular momentum. Although angular momentum remains constant, a careful examination would show that your rotational KE increases! (And decreases when you extend your arms again.) From where did the extra KE come? Be specific in your explanation.

Explanation / Answer

as you bring in your arms , the moment of inertia decreases and hence the angular rotation speed increases to keep the angular momentum constant.

the extra KE come from the increase in the speed of rotation .

since KE = (0.5) I w2   so as "w" increases KE increases

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