# Tangential Acceleration

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

## Formulas that use Tangential Acceleration

\(\large{ a_t = r \; \alpha }\) | |

\(\large{ a_t = \frac { d \omega } { d t } }\) |

### 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