Angular Velocity

on . Posted in Classical Mechanics

velocity angularAngular 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.  This formula shows that the angular velocity of an object is equal to the change in angle divided by the change in time.

 

Angular Velocity Formula

\(\large{ \omega = \frac { \Delta \theta } { \Delta t  }   }\) 
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 \(\large{deg}\) \(\large{rad}\)
\(\large{ \Delta t  }\) = change in time \(\large{sec}\) \(\large{s}\)

 

Angular Velocity Calculator

 

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Tags: Velocity Equations Angular Equations