A bucket containing water is revolved in a vertical circle of radius r .To prevent the water from falling down, the minimum frequency of revolution required is ( g= acceleration due to gravity)

Step-by-step solution

Let its angular velocity be at all points (uniform motion). At the highest point, weight of the body is balanced centrifugal force, so aligned & m ^2 r=m g & = g r aligned Angular frequency is related to frequency as follows: =2 f f= 2 = 1 2 g r