A sphere contracts to half it's radius . how it's moment of inertia about its diameter affected ????
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Explanation:
In both cases, the same principle applies: the conservation of angular momentum. Angular momentum is
L=I×ω
where I is the inertia moment and ω is the angular velocity. The angular momentum L is conserved, meaning it must stay the same value, so if the inertia I decreases by some factor, the speed ω has to increase by the same factor.
For a sphere (let’s assume the Earth is a perfect sphere): I=25mR2 ( m is the mass and R is the radius)
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Answer:
I'=(1/4)I.. Moment of inertia becomes 1/4 times the initial moment of inertia.
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