Question

A string breaks if its tension exceeds $10$ newtons A stone of mass $250$ gm tied to this string length $10$ cm is rotated in a horizontal circle The maximum angular velocity of rotation can be.

Answer 1

$T_{max}=mr{\omega }^2$

$\omega =\sqrt{\frac{T_{max}}{mr}}$

$\omega =\sqrt{\frac{10}{250\ast {10}^{-3}\ast 10\ast {10}^{-2}}}=20\frac{rad}{sec}$