Derivation of Fc (Centripetal Force)

We know that:

F = ma

Where F is the force, m is the mass, and a is the acceleration. ( Newton's Second Law of Motion)

We also know that:

Where v is the speed of the object and r is the radius of the curvature. (Centripetal Acceleration)

Now all we have to do to get Fc is to substitute the acceleration (a) in the F = ma with the centripetal acceleration (Ac).

F = mAc

And you end up with:

That wasn't TOO bad was it?

If you're into calculus you might want to check this out.

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