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 possible value of angular velocity of ball (in radian/s) is

Answer 1

T = mlω^2
324 = 0.5 ω2 * (0.5)
ω2 = 324 x 4
ω = 18 x 2 = 36 radian/s

Answer 2

T = mlω^2

324 = 0.5 ω2 * (0.5)

ω2 = 324 x 4

ω = 18 x 2 = 36 radian/s