A ball that has a mass of 0.25 kg spins in a circle at the end of a 1.6 m rope. The ball moves at a tangential speed of 12.2 m/s.

We are given with the following:

m = 0.25 kg

r = 1.6 m

v = 12.2 m/s

If we are asked to solve for the angular speed:

w = v/r

w = 12.2/1.6 = 7.63/s

If we are asked to solve for the angular acceleration:

a = w2 r

a = 7.63^2 (1.6)

a = 93.15 m/s2

If we are asked for the centripetal force:

F = m a

F = 0.25 (03.15) = 23.29 N