Question

A ball of mass 1 kg is tied to a string of length 2 m and rotated in a circular path with a
uniform speed of $10m{s}^{-1}$. Calculate the angular velocity, a centripetal force acting on the body (in newton N).

Answer 1

Angular velocity $\omega =\frac{v}{r}=\frac{10}{2}=5rad{s}^{-1}$
Centripetal force $F=\frac{m{v}^2}{r}=\frac{1\times {10}^2}{2}=50N$
The magnitude of centripetal force is equal to the magnitude of centrifugal force.
Hence centrifugal force is $50N$ but opposite in direction to centripetal force.