Question

A body of mass 50 kg revolves in a circle of diameter 0.40m, making 500 revolutions per minute. Calculate linear velocity and centripetal acceleration.

Answer 1

$\theta =500\times 2\pi =1000\pi rad/s$

$t=1min=60s$

$R=0.2m$

$v=\omega R=\frac{\theta }{t}R=\frac{1000\pi }{60}\times 0.2$

$⟹v=10.47m/s$

Centripetal acceleration is $a_r=\frac{v^2}{r}=\frac{{10.47}^2}{0.2}$

$a_r=548.1m/s^2$