The angular acceleration of a particle moving along a circular path with uniform speed is

CONCEPT:

• Circular Motion: Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.
  •  The force acts continuously at right angles to the velocity of the particle.
• Uniform circular motion: The circular motion in which the speed of the particle remains constant is called uniform circular motion. In a uniform circular motion, force supplies the centripetal acceleration.

• In a uniform circular motion, a body is experiencing a force in the inward direction.

• Angular acceleration is the rate of change of angular velocity

​\(\Rightarrow \alpha = \frac{Δ ω}{Δ t}\)

Where Δω = Change in angular velocity, Δt = Change in time

EXPLANATION :

• During uniform motion, the change in angular velocity is zero i.e.,

​\(\Rightarrow \Delta \omega = 0\)

• Then the equation of angular acceleration becomes

\(\Rightarrow \alpha = \frac{\Delta \omega}{\Delta t} = \frac{0}{\Delta t} =0 \ m/s^{2}\)

• Hence, option 2 is the answer