Question

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

Answer 1

Angular velocity, $\omega =\frac{2\pi n}{t}=\frac{2\pi \times 1000}{60}=\frac{200\pi }{6}rad/s$
So, linear velocity, $v=R\omega =0.2\times \frac{200\pi }{6}=20.95m/s$
And, centripetal acceleration, $a_c={\omega }^{2}R={\left(\frac{200\pi }{6}\right)}^2\times 0.2=2195m/s^2$