# Tangential Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Tangential acceleration, abbreviated as $$a_t$$, is how much the tangential velocity of a point at a radius changes with time.

## Tangential Acceleration formulas

 $$\large{ a_t = r \; \alpha }$$ $$\large{ a_t = \frac { d \omega } { d t } }$$

### Where:

$$\large{ a_t }$$ = tangential acceleration

$$\large{ \alpha }$$  (Greek symbol alpha) = angular acceleration

$$\large{ d \omega }$$  (Greek symbol omega) = angular velocity differential

$$\large{ r }$$ = radius of object rotation

$$\large{ dt }$$ = time differential