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Deriving the centripetal acceleration formula. A body that moves in a circular motion (of radius r) at constant speed (v) is always being accelerated. The acceleration is at right angles to the direction of motion (towards the center of the circle) and of magnitude v2 / r. The direction of acceleration is deduced by symmetry arguments.
Best Answer: This is centripetal acceleration. Although there is no change in speed, there is a force and hence (by Newton's second law) an acceleration necessary to keep the object traveling in a circle. Mathematically, it is equal to v^2 / r or equivalently the velocity squared divided by the radius of the circle. constant speed means there is no acceleration.