Question

What will be the effect on the centripetal acceleration, if both the speed and the radius of the circular path of the body are doubled?

Answer 1

Original centripetal acceleration,

a = $\frac{{\upsilon }^2}{r}$

New centripetal acceleration,

a' = $\frac{(2\upsilon {)}^2}{2r}$

=$\frac{2{\upsilon }^2}{r}$

= 2a