angular momentum

Question

A disc of mass 2 kg and radius 0.5 m rotates at 10 rad/s. What is its angular momentum?

RankGuru · Accepted Answer

1. **Moment of Inertia ($I$)**: For a solid disc, $I = \frac{1}{2} M R^2$.
   - $I = \frac{1}{2} 	imes 2 	imes (0.5)^2 = 0.25$ kg·m$^2$.
2. **Angular Momentum ($L$)**: $L = I \omega$.
3. **Substitute Values**:
   - $L = 0.25 	imes 10$ rad/s.
4. **Result**: $L = 2.5$ kg·m$^2$/s.
5. **Analogue**: Angular momentum is the rotational equivalent of linear momentum $p=mv$.

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