Question

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

• A. $9$
• B. $18$
• C. $27$
• D. $36$

Answer 1

The correct option is D $36$

We have,
$Tsin\theta =mr{\omega }^2$
But,
$sin\theta =\frac{r}{L}$
$\therefore T=mL{\omega }^2$
$\therefore 324=0.5\times 0.5\times {\omega }^2$
$\therefore \omega =36rad/s$