# Circular Motion

A particle is experiencing circular motion, as shown below.

Define the following variables:

*R* is the radius of the circle

*w* is the angular velocity in radians/s (at an instant)

*α* is the angular acceleration in radians/s

^{2} (at an instant)

*v*_{T} is the tangential velocity of the particle (at an instant)

*a*_{T} is the tangential acceleration of the particle (at an instant)

*a*_{c} is the (centripetal) acceleration of the particle towards the center of the circle (at an instant)

Now,

The above formulas tell us that (for the general case), when a particle is moving around a circular path, there is one component of velocity: tangential, and two components of acceleration: tangential and centripetal.

If you want to test your understanding and solve some problems go to

Circular Motion Problems.

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