A bucket full of water is revolved in vertical circle of radius $2\,m$. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket ......... $\sec$.
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A bucket full of water is revolved in vertical circle of radius $2\,m$. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket ......... $\sec$.
Minimum angular velocity ${\omega _{\min }} = \sqrt {g/R} $
$\therefore \,\,{T_{\max }} = \frac{{2\pi }}{{{\omega _{\min }}}} = 2\pi \sqrt {\frac{R}{g}} $
$ = 2\pi \sqrt {\frac{2}{{10}}} = 2\sqrt 2 \cong 3\,s$