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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))`

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Radius of circle`r=0.5m`
The required speed at the higest point `v_(2)=sqrt(gr)=sqrt(10xx0.5)=sqrt5 ms^(-1)`. The speed at lowest point `v_(1)=sqrt(5gr)=sqrt5xxsqrt(gr)=sqrt5xxsqrt5=5ms^(-1)`.
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