When a particle is revolving around a circular path with uniform angular velocity then its acceleration is *?

CONCEPT:

  • When a particle is revolving in the circular path then the centripetal force acting on the particle towards the center of the circular path.


F = mv2/r  

Where F is the centripetal force, m is mass of the particle, v is velocity, and r is the radius.

When a particle is revolving around a circular path with uniform angular velocity then its acceleration is *?

F = m a 

Where m is mass of the particle, a is the acceleration.

EXPLANATION:

So from the above equations, comparing both we get-

Acceleration = v2/r

Acceleration will be along the radius when the particle is moving around a circular path. 

So option 2 is correct.