# 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

$$\large{ a_t = r \; \alpha }$$

$$\large{ a_t = \frac { \Delta \omega } { \Delta t } }$$

Symbol English Metric
$$\large{ a_t }$$ = tangential acceleration $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$
$$\large{ \alpha }$$  (Greek symbol alpha) = angular acceleration $$\large{\frac{deg}{sec^2}}$$ $$\large{\frac{rad}{s^2}}$$
$$\large{ \Delta \omega }$$  (Greek symbol omega) = angular velocity differential $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$
$$\large{ r }$$ = radius of object rotation $$\large{ ft }$$ $$\large{ m }$$
$$\large{ \Delta t }$$ = time differential $$\large{ sec }$$ $$\large{ s }$$