Tangential Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

acceleration tangential 1Tangential 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 \(\large{ sec }\) \(\large{ s }\)

 

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Tags: Equations for Acceleration