Question

A person swings a 0.33 kg tether ball tied to a 5.4 m rope in an approximately horizontal circle.

(a) If the maximum tension the rope can withstand before breaking is 11 N, what is the maximum angular speed of the ball?

--I figured out the rest of the problem and i just need help with this. thanks

Answer 1

gravity force down = .33 * 9.8 = 3.23 N
If approximately horizontal assume swing radius = 5.4 m
m v^2/r = m w^2 r = .33*w^2*5.4 = 1.78 w^2

11 = sqrt (3.23^2 + 1.78^2 w^2)
121 = 10.4 + 3.18 w^2
w^2 = 110.5/3.18 = 34.77
w = 5.9 radians/second