A small part of the rim of a fly wheel breaks off while it is rotating at a constant

A Small Part Of The Rim Of A Fly Wheel Physics QuestionA Small Part Of The Rim Of A Fly Wheel Physics Question

A small part of the rim of a fly wheel breaks off while it is rotating at a constant angular speed. Then its radius of gyration will

Options

(a) Increase
(b) Decrease
(c) Remain unchanged
(d) Nothing definite can be said

Correct Answer:

Decrease

Explanation:

Iω is conserved. If a small piece is broken. I will be less and ω will increase But I = mk², as I is less, m is small, k² also will be small. The radius of gyration also will decrease.

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  • Due to decrease in the mass of the flywheel M.I. decreases. To conserve angular momentum angular velocity of flywheel increases.

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