Notes On Uniform Circular Motion - CBSE Class 11 Physics
When a body moves in a circular path at a constant speed, it is said to be in uniform circular motion. As the body is continuously changing its direction of motion, its velocity changes continuously. Since the velocity of the body is changing, it has acceleration. The acceleration of a body moving with a constant speed v in a circle of radius R has a magnitude v2/R and it always acts radially directed towards the centre of the circle. This acceleration is called centripetal acceleration.



In the above, ω is the angular velocity and f the frequency, which is the number of revolutions in one second. 

Summary

When a body moves in a circular path at a constant speed, it is said to be in uniform circular motion. As the body is continuously changing its direction of motion, its velocity changes continuously. Since the velocity of the body is changing, it has acceleration. The acceleration of a body moving with a constant speed v in a circle of radius R has a magnitude v2/R and it always acts radially directed towards the centre of the circle. This acceleration is called centripetal acceleration.



In the above, ω is the angular velocity and f the frequency, which is the number of revolutions in one second. 

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