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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.
Centripetal acceleration = 0.03392 meters per second squared. The acceleration of gravity on Earthâs surface is about 9.8 meters per second squared, so the acceleration due to Earthâs rotation on its axis, as found above, is by comparison quite small.