# Circular Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Circular velocity, abbreviated as vc is the velocity at which an object moves around a circle with a given radius. The equation to calculate the circular velocity and calculator are below.

 $$\large{ v_c = \frac { 2 \; \pi \; r }{ t } }$$          Where: $$\large{ v_c }$$ = circular velocity $$\large{ \pi }$$ = Pi $$\large{ r }$$ = radius $$\large{ t }$$ = time Solve for: $$\large{ r = \frac { v_c \; t }{ 2 \; \pi } }$$ $$\large{ t = \frac { 2 \; \pi \; r } { v_c } }$$