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THE FEUTEX TOOLKIT

Helix Path Profile

Measure a circular helix’s length, rise, curvature and torsion from radius, pitch and turns.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaLength = turns*hypot(2*PI*r,pitch); Rise = turns*pitch; Curvature = r/(r**2+(pitch/(2*PI))**2); Torsion = (pitch/(2*PI))/(r**2+(pitch/(2*PI))**2)
Sources and model references

Worked example

Inputs

Radius
3 length
Axial pitch
12.566370614359172 length/turn
Turn count
2 turns

Expected results

Length
45.3086936 length
Rise
25.13274123 length
Curvature
0.2307692308 1/length
Torsion
0.1538461538 1/length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "r": 3,
  "pitch": 12.566370614359172,
  "turns": 2
}

Accuracy and scope

Circular constant-pitch helix; torsion sign follows pitch sign. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.