Question

A stone of mass of 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16 Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be

• A. $20m{s}^{-1}$
• B. $16m{s}^{-1}$
• C. $14m{s}^{-1}$
• D. $12m{s}^{-1}$

Answer 1

The correct option is D

$12m{s}^{-1}$

Maximum tension $=\frac{m{v}^2}{r}=16N$
$\Rightarrow \frac{16\times v^2}{144}=16\Rightarrow v=12m/s$