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Define Uniform Circular motion. Why is it called a periodic motion ?

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Uniform circular motion, motion of a particle moving at a constant speed on a circle. In the Figure, the velocity vector v of the particle is constant in magnitude, but it changes in direction by an amount Δv while the particle moves from position B to position C, and the radius R of the circle sweeps out the angle ΔΘ.

In a uniform circular motion (UCM), a particle takes the same time to complete each revolution, a distance equal to the circumference of the circle. Therefore, a UCM is called a periodic motion.

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