Yeah, it does.
A = v2/r
Acceleration of circular movement of object = tangential velocity2/radius of circular object
F = ma
Force = mass.acceleration --> explained through Newton's 2nd Law of Motion I believe.
Since A = v2/r sub v2/r as a into f = ma
Therefore, F = m/1.(v2/r)
Multiply numerators and denominators seperately.
F = mv2/r