Question

A 0.05kg ball rotates in a circle of a raduis 0.5 meters.if the ball is travelling at a constant speed of 6.28m/s, find the tention force at the top and bottom of the circle draw a digram for both situations 

Answer 1

Top:

$$m\frac {v^2}{R}=-mg-T,\\\space\\ T=m\bigg(g+\frac{v^2}{g}\bigg)=4.43\text N.$$

Bottom:

$$-m\frac {v^2}{R}=-mg+T,\\\space\\ T=m\bigg(g-\frac{v^2}{g}\bigg)=3.45\text N.$$