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 calculator
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Angular Velocity formula
| \(\large{ \omega = \frac { \Delta \theta } { \Delta t } }\) |
| \(\large{ \omega = \frac { \theta_f \;-\; \theta_i } { \Delta t } }\) |
| \(\large{ \omega = \frac { 2 \; \pi } { \Delta t } }\) |
Where:
| Units |
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 |
\(\large{sec}\) |
\(\large{s}\) |
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