Angular Velocity

Angular velocity, abbreviated as \(\omega\) (Greek symbol omega), also called angular speed, is the speed that an object moves through an angle, θ.  The calculation below calculates ω but does not calculate the relative velocity of a point as it moves throughout the curve.

 

Angular Velocity Formula
\(\large{ \omega = \frac { \Delta \theta } { \Delta t  }   }\)  \(\large{ \omega = \frac { \theta_f \;-\; \theta_i } { \Delta t  }   }\)  \(\large{ \omega = \frac { 2 \; \pi } { \Delta t }   }\)
Symbol	English	Metric
\(\large{ \omega }\)   (Greek symbol omega) = angular velocity	\(\large{\frac{deg}{sec}}\)	\(\large{\frac{rad}{s}}\)
\(\large{ \Delta \theta  }\)   (Greek symbol theta) = angular displacement	\(\large{deg}\)	\(\large{rad}\)
\(\large{ s }\) = displacement covered by object	\(\large{ft}\)	\(\large{m}\)
\(\large{ \theta_f  }\) = final angle	\(\large{deg}\)	\(\large{rad}\)
\(\large{ \theta_i  }\) = initial angle	\(\large{deg}\)	\(\large{rad}\)
\(\large{ \pi }\) = Pi	\(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius	\(\large{ft}\)	\(\large{m}\)
\(\large{ \Delta t  }\) = time change	\(\large{sec}\)	\(\large{s}\)

 

Angular Velocity Calculator