Question:
A disc is rotating with angular speed $\omega$. If a child sits on it, what is conserved :-
A disc is rotating with angular speed $\omega$. If a child sits on it, what is conserved :-
Updated On: Apr 29, 2024
- linear momentum
- angular momentum
- kinetic energy
- potential energy
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The Correct Option is B
Solution and Explanation
When a child sits on a rotating disc, no external torque is introduced.
Hence the angular momentum of the system is conserved.
But the moment of inertia of the system will increase and as a result, the angular speed of the disc will decrease to maintain constant angular momentum.
$[\because $angular momentum = moment of inertia $\times$ angular velocity]
Hence the angular momentum of the system is conserved.
But the moment of inertia of the system will increase and as a result, the angular speed of the disc will decrease to maintain constant angular momentum.
$[\because $angular momentum = moment of inertia $\times$ angular velocity]
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