When having a circular acceleration motion, we have both tangential acceleration and centripetal acceleration. The tangential acceleration is aT=r*α where α=1/2*(ωf-ω0). So we can see tha aT is dependant on both the initial angular velocity ω0 and the final ωf). For centripetal acceleration, we instead have aC=r*ωf2. My question is, how come the centripetal acceleration is only dependant on the final angular velocity, and not the initial? Is there a physical explanation for this?