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Water in a bucket tied with rope whirled...

Water in a bucket tied with rope whirled around in a vertical circle of radius 0.5 m. Calculate the minimum velocity at the lowest point so that the water does not spill from it in the course of motion. `(g=10ms^(-1))`

Text Solution

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Radius of circle r = 0.5 m
The required speed at the highest point
`v_(2)=sqrt(gr)=sqrt(10 times 0.5)=sqrt(5)" "ms^(-1)`
The speed at lowest point
`v_(1)=sqrt(5gr)=sqrt(5) times sqrt(gr)=sqrt(5) times sqrt(5)=5" "ms^(-1)`
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