A tether ball tied to a pole by a rope swings in a circular path with centripetal acceleration of 2.7m/s. If the ball has a tangential speed of 2.0m/s, what is the diameter of the circular path in which it travels?

Answer 1

draw a force diagram. You have at the ball, mg downward, and outward hoizonal, m*2.7

but 2.7= v^2/r, you have v, so solve for r, thence Diameter.

Answer 2

1.5