A body of mass 10 kg revolves in a circle of diameter 0.4 m, making 1000 revolutions per minute. Calculate its centripetal acceleration.

Given: m = 10 kg, r = 0.20 m

Angular speed, ω = 2π x 1000/60 

                                = 100π/3 rad s^-1

Centripetal acceleration, a = rω² 

= 0.2 x ${\left(\frac{100\mathrm{\pi }}{3}\right)}^2$ 

= $\frac{\mathbf{2000}{\mathbf{\pi }}^{\mathbf{2}}}{\mathbf{9}}\mathit{m}{\mathit{s}}^{\mathbf{-}\mathbf{2}}$