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Helical Coil Geometry Calculator — result sheet
Estimate axial length and wire path length for a regular helical coil from diameter, turn count, and pitch.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Axial length = Np; one-turn helix length = √[(πD)²+p²]; total path = N√[(πD)²+p²].
This is geometric development of a regular helix on a cylinder. It estimates the centerline path and axial advance without claiming a spring rate, wire-forming allowance, or finished part length.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Mean coil diameter — m; minimum 1.0E-6; maximum 1000000
- Number of turns — minimum 1.0E-6; maximum 1000000
- Axial pitch per turn — m; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Mean coil diameter | 0.05 |
| Number of turns | 20 |
| Axial pitch per turn | 0.005 |
Axial length is 0.10 m and centerline path length is about 3.142 m.
Assumptions and limits
- Diameter is the mean centerline diameter and pitch is the axial advance per turn.
- Turns are continuous and the helix is not tapered or conical.
- Wire diameter, end hooks, end effects, elastic deformation, and manufacturing allowance are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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