Question

A bucket full of water is revolved in a vertical circle of radius 4 m such that water does not fall down. The maximum possible period of revolution is

• A. $10seconds$
• B. $8seconds$
• C. $4seconds$
• D. $6seconds$

Answer 1

The correct option is C $4seconds$

$mr{\omega }^2=T+mg$

$T+mg=\frac{m{v}^2}{R}$

$T=0$

$v=\sqrt{gR}$

$T=\frac{2\pi R}{v}=\frac{2\pi \times 4}{\sqrt{gR}}$

$=\frac{2\pi }{6\times 3/2}=4$ second.