# Angular Displacement

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Angular displacement, abbreviated as $$\theta$$ (Greek symbol theta), is the angle through which a body moves in a circular path.

## Angular displacement formulas

 $$\large{ \theta_d = \theta_f - \theta_i }$$ $$\large{ \theta_d = \frac{s}{r} }$$ $$\large{ \theta_d = \omega\; t + \frac{1}{2} \; a \; t^2 }$$

### Where:

 Units English Metric $$\large{ \theta_d }$$  (Greek symbol theta) = angular displacement $$\large{deg}$$ $$\large{rad}$$ $$\large{ a }$$  = acceleration $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$ $$\large{ \theta_f }$$  (Greek symbol theta) = final angle $$\large{deg}$$ $$\large{rad}$$ $$\large{ \theta_i }$$  (Greek symbol theta) = initial angle $$\large{deg}$$ $$\large{rad}$$ $$\large{ \omega }$$   (Greek symbol omega) = angular velocity $$\large{\frac{deg}{sec}}$$ $$\large{\frac{rad}{s}}$$ $$\large{ s }$$ = distance covered by the object on the circular path $$\large{ft}$$ $$\large{m}$$ $$\large{ r }$$ = radius of circular path $$\large{ft}$$ $$\large{m}$$ $$\large{ t }$$  = time $$\large{sec}$$ $$\large{s}$$