A disc rotates in a horizontal plane with 360 revolutions per minute
At a distance of 20 cm from the center is a block with a mass of 100 g.
frequency f = 360 rev/minute =6 rev /second f = 6 Hz
period T=1/f = 1/6 = 0.17 s
speed of the block v = (2 π r) / T = (2 π 0.20)/0.17 = 7.39 m/s
angular velocity ω = (2 π) / r = (2 π) /0.20 = 31.4 rad/s
centripetal acceleration of the block ac = v2/r = 7.392/0.20 = 2.73 x 102 ms-2
Remark
In an uniform circular motion is the speed constant
The acceleration is directed toward the center of the circular path. This causes a change in direction of the velocity. The speed (magnitude of the velocity) does not change.
(Centripetal Force : see chapter Force and Torque)