Constant Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Constant angular acceleration, abbreviated as \(\omega\) (Greek symbol omega), of an object is the constant rate at which the angular velocity changes with respect to time. This equation calculates the final angular velocity with respect to a constant angular acceleration over a given amount of time. 

 

Constant Angular Acceleration formula

\(\large{ \omega_f =  \omega_i  + \alpha \; t  }\)   

Where:

Units English Metric
\(\large{ \omega_f }\)  (Greek symbol omega) = final angular velocity \(\large{\frac{deg}{sec}}\) \(\large{\frac{rad}{s}}\)
\(\large{ \alpha }\)  (Greek symbol alpha) = angular acceleration \(\large{\frac{deg}{sec^2}}\)  \(\large{\frac{rad}{s^2}}\)
\(\large{ \omega_i }\)  (Greek symbol omega) = initial angular velocity \(\large{\frac{deg}{sec}}\) \(\large{\frac{rad}{s}}\)
 \(\large{ t }\) = time \(\large{sec}\) \(\large{s}\)

 

 

Tags: Equations for Acceleration