CENTRIFUGAL FORCE

We can find the equation for centrifugal force by finding the equation for centripetal force because we know that the two forces are equal in magnitude.
We have already derived the formula for centripetal acceleration([[1]]) and know that ac=v²/r or centripetal acceleration=velocity squared divided by the radius (in meters). We also know that f=ma or force=mass times acceleration (for derivation click [[2]]).
When we combine these two equations we end up with
Fc=mv²/r or centripetal force=mass times velocity squared divided by radius (in meters) Now that we have the equation for centripetal force we almost have the equation for centrifugal force as well. The acceleration for centripetal force is aimed into the center of the circle but the acceleration for centrifugal force is aimed away from the circle. Therefor, because centripetal acceleration is positive and centrifugal acceleration is going in the oposite direction, it is negative.

[edit] FINAL EQUATION FOR CENTRIFUGAL FORCE

The final equation for centrifugal force is
f=-mv²/r where...
f= force (in newtons)
m= mass (in kilograms)
v= velocity (in meters per second)
r= radius (in meters)