An ice skater spins at 3 π rad s - 1 with her arms extended. If her moment of inertia with arms folded is 75 % of that with arms extended, her angular velocity when she folds her arms is

Question

An ice skater spins at 3 π rad s - 1 with her arms extended. If her moment of inertia with arms folded is 75 % of that with arms extended, her angular velocity when she folds her arms is, π rad s -1, 2 π rad s -1, 3 π rad s -1, 4 π rad s -1

MARKS App · Accepted Answer

Here, ω 1 = 3 π rad s -1 , I 1 = I I 2 = 7 5 1 0 0 I 1 = 3 4 I, ω 2 = ? As I 2 ω 2 = I 1 ω 1 ∴ ω 2 = I 1 I 2 × ω 1 = 4 3 × 3 π = 4 π rad s -1

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