rate of change of tangential velocity is called as the centripetal acceleration.\\\\(F=\\dfrac{mv^2}{r}\\\\)centripetal acceleration is given by,\\\\(a_c=\\dfrac{F}{m}\\\\)\\\\(=\\dfrac{\\dfrac{mv^2}{r}}{m}\\\\)\\\\(\ herefore a_c=\\dfrac{v^2}{r}\\\\)