Question

A ball of mass 0.5 kg is attached to a string of length 50 cm. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is 400 N. The maximum possible value of angular velocity of the ball in rad/s is,: 

(1) 1600 

(2) 40 

(3) 1000 

(4) 20

Answer 1

Correct option is (2) 40 

\(T = m\omega ^2R\)

\(400 = \frac {1}{2}\times \omega ^2 \times \frac {1}{2}\)

\(\omega ^2 = 1600\)

\(\omega = 40\,rad/sec\)