Circular motion represents motion around a circle or an arc of a circle

Complete Circular motion

Distance	${\displaystyle s}$	${\displaystyle 2\pi r}$
Time	${\displaystyle t}$	${\displaystyle t}$
Speed	${\displaystyle v}$	${\displaystyle r{\frac {2\pi }{t}}=r\omega }$
Acceleration	${\displaystyle a}$	${\displaystyle {\frac {r\omega }{t}}}$
Force	${\displaystyle F}$	${\displaystyle m{\frac {r\omega }{t}}}$
Work	${\displaystyle W}$	${\displaystyle pr\omega }$
Energy	${\displaystyle E}$	${\displaystyle {\frac {pr\omega }{t}}}$
Angular speed	${\displaystyle \omega }$	${\displaystyle 2\pi f}$
Frequency	${\displaystyle f}$	${\displaystyle {\frac {1}{t}}}$

Circular arc motion

Circular motion of non-constant acceleration . Example, circular motion of arc of circle

${\displaystyle s=r\theta }$

${\displaystyle v={\frac {ds}{dt}}={\frac {ds}{dt}}r\theta =r{\frac {d\theta }{dt}}=r\omega }$

${\displaystyle a={\frac {dv}{dt}}={\frac {d}{dt}}r\omega =r{\frac {d\omega }{dt}}=r\alpha }$

Distance	${\displaystyle s}$	${\displaystyle \theta r}$
Time	${\displaystyle t}$	${\displaystyle t}$
Speed	${\displaystyle v}$	${\displaystyle r{\frac {\theta }{t}}=v\omega }$
Acceleration	${\displaystyle a}$	${\displaystyle {\frac {v^{2}}{r}}}$
Force	${\displaystyle F}$	${\displaystyle m{\frac {v^{2}}{r}}}$
Work	${\displaystyle W}$	${\displaystyle p{\frac {v^{2}}{r}}}$
Energy	${\displaystyle E}$	${\displaystyle p{\frac {v^{2}}{rt}}}$
Angular speed	${\displaystyle \omega }$	${\displaystyle \theta f}$
Frequency	${\displaystyle f}$	${\displaystyle {\frac {1}{t}}}$