Percentage Increase in Angular Momentum – Rankers Physics
Topic: Rotational Motion
Subtopic: Angular Momentum and Conservation of Angular Momentum

Percentage Increase in Angular Momentum

If the rotational kinetic energy of a body increased by 300% then determine the percentage increase in its angular momentum:
Increases by 100%
Decreases by 100%
Increases by 50%
None of these

Solution:

Since rotational kinetic energy \(K = \frac{L^2}{2I}\), we have \(L \propto \sqrt{K}\). An increase of 300% means \(K_f = 4K_i\), so \(L_f = 2L_i\). The percentage increase in angular momentum is 100%.

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