Question

a ball on a string is swung overhead in a horizontal circle with a radius of 0.66 m. what speed (in m/s) does the ball need to maintain for there to be a centripetal acceleration of 23 m/s2?

Answer 1

The ball is moving in a horizontal circle.

The force acting towards the center of the circle is

F = M a = M * V^2 / R

a = V^2 / R simplifying equation

V = (a / R)^1/2 = (23 / .66)^1/2 = 5.90 m/s