Circular motion

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Circular motion is where a particle moves in a circle. It occurs when the acceleration of the particle is constant in magnitude and always perpendicular to the velocity of the particle. As such, the speed of the particle remains constant as no work is done on the particle (the force acting on the particle is perpendicular to its displacement). The acceleration, of a particle undergoing circular motion may be describe as

where

is the angular frequency, defined as over the period of oscillation,
is the radius of the orbit

Since , this may also be written as