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

Correct option is B

The correct answer is (b) The same for all particles.
• In a rigid body, all particles rotate with the same angular velocity (ω) about a fixed axis.
• Linear velocity varies with radius (v = ωr), but angular velocity remains constant for every particle.
Information Booster
• Unit of angular velocity: radian per second (rad/s).
• Relation: v = ωr explains why outer points move faster linearly.
• Angular acceleration is also the same for all particles in rigid rotation.
• Concept applies to rotating discs, wheels, and gears.
Additional Knowledge
• Moment of inertia depends on mass distribution, not angular velocity.
• Torque (τ) = Iα, where I = moment of inertia.
• Rotational motion is analogous to linear motion.
• Rigid body assumption ignores deformation during motion.