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 = πgω/πkr.

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 = πg√[2r√[v2+r2]-2r2]/πkr

Graph of angle vs radius
θ = πg√[2r√[v2+r2]-2r2]/πkr
Angle Velocity with changing radius
Graph of angle vs velocity
θ = πg√[2r√[v2+r2]-2r2]/πkr
Angle Velocity with changing velocity

Calculate the tangential velocity given the radius and angle velocity.

v = θπkr√[θ2πk2+4πg2]/2πg2

Graph of velocity vs radius
v = θπkr√[θ2πk2+4πg2]/2πg2
Velocity with changing radius
Graph of velocity vs angle
v = θπkr√[θ2πk2+4πg2]/2πg2
Velocity with changing angle

Calculate the radius given the tangential velocity and angle velocity.

r = 2πg2v/√[θ4πk4+4θ2πk2πg2]

Graph of radius vs velocity
r = 2πg2v/√[θ4πk4+4θ2πk2πg2]
Radius with changing velocity
Graph of radius vs angle
r = 2πg2v/√[θ4πk4+4θ2πk2πg2]
Radius with changing angle