Calculating Moment of Inertia: A Figure Skater's Finale

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SUMMARY

The discussion focuses on calculating the final moment of inertia of a figure skater who increases her rotation rate from 1.14 revolutions every 1.86 seconds to 3.13 revolutions per second, starting with an initial moment of inertia of 4.46 kg*m². The principle of conservation of angular momentum is crucial for solving this problem. The relationship between initial and final moments of inertia can be expressed as I₁ω₁ = I₂ω₂, where I represents moment of inertia and ω represents angular velocity. The correct application of this equation yields the final moment of inertia.

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Homework Statement



A figure skater during her finale can increase her rotation rate from an initial rate of 1.14 revolutions every 1.86 s to a final rate of 3.13 revolutions per second. If her initial moment of inertia was 4.46 kg*m2, what is her final moment of inertia?


Homework Equations





The Attempt at a Solution


I thought that I could use some type of mathematical relationship between the revolutions per second and the inertia. However, I am not getting the correct value. Any help will be appreciated. Thanks.
 
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Angular momentum is conserved.
 

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