how does moment of inertia change with speed of rotation
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Moment of inertia depends on mass of body, size of body, axis of rotation of the body and distribution of mass of the body about the axis of rotation.
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If the angular momentum of a system is constant, then as the moment of inertia gets smaller, the angular velocity must increase. This occurs when spinning figure skaters pull in their outstretched arms or divers curl their bodies into a tuck position during a dive, to spin faster.
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