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Work Done on Rotating Rigid Body

$W_(tot) = 1/2 I * omega_2 ^2-1/2 I * omega_1 ^2$

$(I)"Moment of Inertia"$

$(omega_1)"Initial Angular Speed"$

$(omega_2)"Final Angular Speed"$

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Reference

University Physics 12th Edition, Chapter 10, Equation #10.22