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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.
We can rewrite centripetal acceleration in terms of angular velocity and tangential velocity. Example: If the tangential speed of the object is 3m/s which is doing circular motion on a path of radius 2m, find the centripetal acceleration of it. Or we can rewrite it as;e can rewrite centripetal acceleration in terms of angular velocity and tangential velocity. Example: If the tangential speed of the object is 3m/s which is doing circular motion on a path of radius 2m, find the centripetal acceleration of it. Or we can rewrite it as;