A string 1.5 m long breaks when its tension is 100 N.

a. What is the greatest speed with which the ball can be moved around a horizontal circle if the ball has a mass of 2 kg?
b. Find the speed for the same setup, but for a vertical circle.

1 answer

In a vertical circle, max tension is at the bottom.

Tension=mg+mv^2/r

solve for v

In a hoizontal circle, tension is more complicated.

Tension=m * sqrt((v^2/r)^2+g^2)