Angular Momentum

Mediumphysics

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

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2.5 kg·m²/s

5 kg·m²/s

1.25 kg·m²/s

10 kg·m²/s

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About This Question

Subject: physics
Chapter: rotational motion
Topic: angular momentum
Difficulty: Medium
Year: 2025

Solution

Correct Answer:

2.5 kg·m²/s

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

This medium difficulty physics question is from the chapter rotational motion, covering the topic of angular momentum. It appeared in the 2025 exam.

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Angular Momentum

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