CALCULATOR
Uniform Rope Lift Around an Ideal Circle Calculator
Uniform Rope Lift Around an Ideal Circle. Example: Added length: 1 m gives 0.159154943092 m. Ideal concentric circles and uniform lift; no sag, elasticity, terrain, orbital or Earth-shape model. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Ideal concentric circles and uniform lift; no sag, elasticity, terrain, orbital or Earth-shape model. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Subtract circumferences2π(r+h)-2πr; original radius cancels.
Accepted inputs: Added length: 0.001 to 10,000 m.
How the calculation works
h=ΔL/(2π)
Worked example
With added length 1 m, uniform rope lift around an ideal circle is 0.1591549431 m.
Assumptions and limits
Ideal concentric circles and uniform lift; no sag, elasticity, terrain, orbital or Earth-shape model. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Subtract circumferences2π(r+h)-2πr; original radius cancels.