Angular Displacement

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	\(\large{sec}\)	\(\large{s}\)