Angle Velocity Graphs

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

Angle velocity is the expression of angular velocity in radians per unit time. It is calculated with the equation
θ/t = π_{g}ω/π_{k}r.

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. To understand the transforms used to convert angular velocity into an angle velocity, please read my Spin Velocity paper.

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 **angle velocity** given the **radius** and **tangential velocity**.

θ = π_{g}√[2r√[v^{2}+r^{2}]-2r^{2}]/π_{k}r

Angle Velocity with changing radius

Angle Velocity with changing velocity

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

v = θπ_{k}r√[θ^{2}π_{k}^{2}+4π_{g}^{2}]/2π_{g}^{2}

Velocity with changing radius

Velocity with changing angle

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

r = 2π_{g}^{2}v/√[θ^{4}π_{k}^{4}+4θ^{2}π_{k}^{2}π_{g}^{2}]

Radius with changing velocity

Radius with changing angle