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

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

Where:

 Units 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 $$\large{ sec }$$ $$\large{ s }$$