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√[v2+r2]-2r2]

Graph of omega vs radius
ω = √[2r√[v2+r2]-2r2]
Angular Velocity with changing radius
Graph of omega vs velocity
ω = √[2r√[v2+r2]-2r2]
Angular Velocity with changing velocity

Calculate the tangential velocity given the radius and angular velocity.

v = √[(ω4/4r2)+ω2]

Graph of velocity vs radius
v = √[(ω4/4r2)+ω2]
Velocity with changing radius
Graph of velocity vs omega
v = √[(ω4/4r2)+ω2]
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 = √[ω4/(4v2-4ω2)]

Graph of radius vs velocity
r = √[ω4/(4v2-4ω2)]
Radius with changing velocity
Graph of radius vs omega
r = √[ω4/(4v2-4ω2)]
Radius with changing omega