Question

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m . The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum value of angular velocity of ball (in rad $s^{-1}$) is

Answer 1

$T=ml{\omega }^2$

$324=0.5{\omega }^2\times \left(0.5\right)$$

${\omega }^2=324\times 4$

$\omega =18\times 2=36$ radian/s

Maximum angular velocity of ball, $\omega =36$ radian /s