Circular motion and centripetal force

A body moving around a circle at constant speed is still accelerating — the direction of its velocity changes. It is held on the circle by the centripetal force, directed towards the centre:

$F=\frac{m\,v^2}{r}\qquad a=\frac{v^2}{r}$

The linear and angular velocity are conveniently expressed through the orbital period $T$:

$v=\frac{2\pi r}{T}\qquad \omega=\frac{2\pi}{T}=\frac{v}{r}$

The calculator computes the centripetal force and acceleration (from $m$, $v$, $r$) and the velocities (from $r$ and $T$). It is the same principle that works in a centrifuge, on a bend and in satellite motion.