Question

The maximum time period of a bucket full of water whirled in a vertical circle of radius $2.5m$ so that water does not fall is $(g=10m{s}^{-2})$:

• A. $1.5s$
• B. $2.0s$
• C. $3.14s$
• D. $6.28s$

Answer 1

Answer: (C)

$3.14s$

$R=2.5m.$
For water not falling, effective acceleration of it should be $g$.
$\therefore \frac{V^2}{R}=g$

$V=\sqrt{Rg}=\sqrt{2.5X10}=5m/s$

$V=5m/s$ is minimum velocity with which bucket be whirled.
Let us assume that speed is uniform.
$\therefore T=\frac{2\pi r}{V}$$=\frac{2\pi \times 2.5}{5}$$=3.14sec$