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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: the centripetal acceleration is v^2/r we know r = 0.13m and that a = 70,000 x 9.8m/s/s = 6.86x10^5m/s/s therefore we solve for v: v^2 = r a = 6.86x10^5m/s/s x 0.13m v= 298.63m/s the angular velocity = v/r = 298.63/0.13m = 2297rad/s there are 2 pi rad in one rev, so this is the equivalent of 21,946 rev/min.