# Centrifugal Force

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Centrifugal force, abbreviated as $$F_c$$ or $$F_{cf}$$, is when a force pushes away from the center of a circle, but this does not really exist.  When an object travels in a circle, the object always wants to go straight, but the centripetal force keeps the object traveling along an axis of rotation.

## Centrifugal force by Angular Velocity formula

$$\large{ F_c = m \; \omega^2 \; r }$$
Symbol English Metric
$$\large{ F_c }$$ = centrifugal force $$\large{lbf}$$ $$\large{N}$$
$$\large{ \omega }$$   (Greek symbol omega) = angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$
$$\large{ m }$$ = mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ r }$$ = radius from the origin $$\large{ft}$$ $$\large{m}$$

## Centrifugal force by Tangential Velocity formula

$$\large{ F_c = \frac { m \; v_t^2 }{ r } }$$
Symbol English Metric
$$\large{ F_c }$$ = centrifugal force $$\large{lbf}$$ $$\large{N}$$
$$\large{ m }$$ = mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ r }$$ = radius from the origin $$\large{ft}$$ $$\large{m}$$
$$\large{ v_t }$$ = tangential velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{sec}}$$

## Centrifugal force in RPM formula

$$\large{ F_c = \frac{30}{\pi} \; m \; RPM^2 \; r }$$
Symbol English Metric
$$\large{ F_c }$$ = centrifugal force $$\large{lbf}$$ $$\large{N}$$
$$\large{ \pi }$$ = Pi $$\large{3.141 592 653 ...}$$
$$\large{ m }$$ = mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ r }$$ = radius from the origin $$\large{ft}$$ $$\large{m}$$
$$\large{ RPM }$$ = revolutions per minute $$\large{\frac{rev}{min}}$$  $$\large{\frac{rev}{min}}$$

Tags: Force Equations