Starting from and the fact that as

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Starting from

|\Delta\mathbf{v}| = \dfrac{v\,|\Delta\mathbf{r}|}{r}

and the fact that

\dfrac{|\Delta\mathbf{r}|}{\Delta t} \to v

\Delta t \to 0

, complete the derivation to obtain the formula for centripetal acceleration in terms of

v

and

r