Angular Velocity Graphs

These calculators can be used to generate data using **radius**, **tangential velocity** and **angular velocity**.

The definition of Angular Velocity used by these calculators may not be what you are used to. It is a distance over a time where that distance is curved. Not an angle over time as is commonly used. For more information please read Angular Velocity and Angular Momentum by Miles Mathis.

The calculators on this page rovolve around a single equation.
That equation is rearranged in terms of the variables in it and there is
a section per version of the equation. Each section contains a series of graphs that
each vary one of the other variables in the equation.

Calculate the **angular velocity** given the **radius** and **tangential velocity**.

ω = √[2r√[v^{2}+r^{2}]-2r^{2}]

Angular Velocity with changing radius

Angular Velocity with changing velocity

Calculate the **tangential velocity** given the **radius** and **angular velocity**.

v = √[(ω^{4}/4r^{2})+ω^{2}]

Velocity with changing radius

Velocity with changing omega

Calculate the **radius** given the **tangential velocity** and **angular velocity**.

The value of **omega** must be less than the **velocity**.

r = √[ω^{4}/(4v^{2}-4ω^{2})]

Radius with changing velocity

Radius with changing omega