Question

If a particle executes uniform circular motion in the xy plane in clock wise direction, then the angular velocity is in

• A. positive z-direction
• B. negative z-direction
• C. positive y-direction
• D. negative x-direction

Answer 1

Answer: (B)

negative z-direction

Answer 2

The angular velocity ($\vec{\omega}$) is a vector quantity that describes the rate of change of angular displacement. Its direction is determined by the right-hand rule.

To find the direction of angular velocity, curl the fingers of your right hand in the direction of rotation. Your extended thumb will point in the direction of the angular velocity vector.

Applying the right-hand rule to clockwise rotation in the xy-plane, the angular velocity vector points into the plane, which corresponds to the negative z-direction.