Ryan swings a pail of water in a vertical circle 1.0 m in radius at a constant speed. if the water is not to spill on him: (a) calculate the minimum tangential speed of the pail of water (b) calculate the minimum angular speed of the swing

Part 1

If water does not spill at the top point of the circular motion then for the minimum speed condition we can say normal force will be zero at the top position

given that

R = 1 m

g = 9.8 m/s^2

now from above equation we have

Part b)

for minimum value of angular speed we will have

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