Angular Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

acceleration angularAngular acceleration, abbreviated as \(\alpha\) (Greek symbol alpha), also called rotational acceleration, of an object is the rate at which the angle velocity changes with respect to time.

 

Angular Acceleration formulas

\(\large{ \alpha = \frac { d \omega } { d t }   }\)   
\(\large{ \alpha = \frac { a_t } { r }   }\)   
\(\large{ \alpha = \frac { \tau } { I }   }\)   

Where:

Units   US  SI
 \(\large{ \alpha }\)  (Greek symbol alpha) = angular acceleration  \(\large{\frac{deg}{sec^2}}\)  \(\large{\frac{rad}{sec^2}}\)
 \(\large{ d \omega }\)  (Greek symbol omega) = angular velocity differential   \(\large{\frac{1}{sec}}\)
 \(\large{ a_t }\) = tangential acceleration \(\large{\frac{deg}{sec^2}}\) \(\large{\frac{rad}{sec^2}}\)
 \(\large{ I }\) = mass moment of inertia or angular mass  \(\large{\frac{lb_f}{ft^2}}\)  \(\large{\frac{kg}{m^2}}\)
 \(\large{ r }\) = radius of circular path  \(\large{feet}\)  \(\large{meters}\)
 \(\large{ dt }\) = time differential  \(\large{seconds}\) 
 \(\large{ \tau }\)  (Greek symbol tau) = torque  \(\large{lb_f \cdot ft}\)  \(\large{newton \cdot m}\)

Tags: Equations for Acceleration