Angular Velocity Calculator

This page provides insight into determining the angular velocity of a body and provides a function to help you calculate it using linear velocity and the radius.
CalculationInputs﻿﻿v
:15m / s​
﻿
﻿﻿dθ
:50.00rad​
﻿
﻿﻿f
:5.00​
﻿
﻿﻿r
:0.15m​
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﻿﻿dt
:30.00s​
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Outputs﻿﻿ω (eqn 1)
:100rad / s​
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ωequation 1=vr\omega_{equation\ 1} = \frac {v}{r} ωequation 1​=rv​
﻿﻿ω (eqn 2)
:1.67​
﻿
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ωequation 2=dθdt\omega_{equation\ 2}= \frac {d\theta}{dt} ωequation 2​=dtdθ​
﻿﻿ω (eqn 3)
:31.42​
﻿
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ωequation 3=2πf\omega_{equation\ 3}=2 \pi fωequation 3​=2πf
ExplanationAngular velocity measures the rate of change of an object's angular position over time. It is a vector quantity usually expressed in radians per second (rad/s). 
Angular velocity (ω) is the speed at which an object rotates around a fixed axis. The magnitude of angular velocity represents the speed of rotation, and the direction of the angular velocity vector indicates the axis of rotation.
The equations for angular velocity are as follows: 
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ωequation 1=vr\omega_{equation\ 1}= \frac {v}{r} ωequation 1​=rv​
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ωequation 2=dθdt\omega_{equation\ 2}= \frac {d\theta}{dt} ωequation 2​=dtdθ​
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ωequation 3=2πf\omega_{equation\ 3}=2 \pi fωequation 3​=2πf
Here are the variables for the equation
ω = angular velocity.
dθ = change in angular position.
dt = change in time.
f = frequency, in revolutions.
r = radius of the body.
v = linear Velocity.
This equation is useful for algebraic manipulation involving derivatives and integrals of angular velocity (i.e. Angular Acceleration, Angular Position).
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Figure 1: Diagram To Denote the Variables used for calculating Angular Velocity
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