A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev...

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A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev...

A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 2.8 s to a final rate of 3.3 rev/s. If her initial moment of interia was 4.7 kg · m2, what is her final moment of inertia?

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Answer 1

Answer #1

Angular momentum is conserved.

4.7 . ( 1/2.8 ) = MI(new) . 3.3

MI (new) = 4.7 / 2.8 . 3.3 = 0.508 = 0.51 kgm^2

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Answer 2

Answer #2

Ans I₁w₁ = I₂w₂

I₁= 4.7kg · m2

w₁₌ 1/2.8 =0.357 rev/sec

I₂= ? w₂= 3.3 rev/sec

I₂= 4.7*0.357/3.3 = 0.508kg · m2

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Answer 3

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