Nevyn's Lab - Angle Velocity Calculator

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_gω/π_kr.

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.

Angle Velocity

Calculate the angle velocity given the radius and tangential velocity.

θ = π_g√[2r√[v²+r²]-2r²]/π_kr

θ = angle; the angle velocity

r = radius

v = velocity; the tangential velocity

Velocity

Calculate the tangential velocity given the radius and angle velocity.

v = θπ_kr√[θ²π_k²+4π_g²]/2π_g²

v = velocity; the tangential velocity

r = radius

θ = angle; the angle velocity

Radius

Calculate the radius given the tangential velocity and angle velocity.

r = 2π_g²v/√[θ⁴π_k⁴+4θ²π_k²π_g²]

r = radius

v = velocity; the tangential velocity

θ = angle; the angle velocity