For a rigid body, the angular velocity of any particle about a given axis of rotation is:

Question

For a rigid body, the angular velocity of any particle about a given axis of rotation is:

1. A. Proportional to its distance from the axis
2. B. The same for all particles (Correct answer)
3. C. Inversely proportional to its distance from the axis
4. D. Always zero

Correct Answer

Option B — The same for all particles

Detailed Solution & Explanation

The correct answer is The same for all particles.

Key Points

• In a rigid body every particle turns through the same angle in the same time, so the angular velocity ω is identical for all particles, whatever their distance from the axis.
• What *does* vary with distance is the linear velocity, v = ωr — a common trap.
• Keep the distinction clear: angular velocity is a property of the whole rotating body; linear velocity scales with radius.