# Centripetal Force

by Vesper89
Tags: centripetal, force
 Mentor P: 41,310 There are two equivalent expressions for centripetal force: $$F_c = m v^2/r$$ or $$F_c = m \omega^2 r$$ Since $v = \omega r$, the two expressions are equivalent. ($\omega$ is the angular speed; it equals the frequency times $2 \pi$.) Since you are holding the frequency constant while you vary the radius, your results will follow the 2nd equation. If you held the speed constant as you varied the radius, your results would be described by the first equation.