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Gear Diametral Pitch Calculator — result sheet
Calculate diametral pitch, circular pitch, and metric module from gear teeth and pitch diameter.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: DP = teeth/pitch diameter; circular pitch = π/DP; metric module = 25.4/DP.
The outputs describe the same gear tooth scale in customary diametral-pitch, circular-pitch, and metric-module forms.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of teeth — minimum 1; maximum 1000000
- Pitch diameter — in; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Number of teeth | 24 |
| Pitch diameter | 2 |
Diametral pitch = 12 teeth/in; circular pitch ≈ 0.2618 in; module ≈ 2.1167 mm.
Assumptions and limits
- Pitch diameter is measured in inches for the diametral-pitch convention and the gear is a standard pitch-circle model.
- Tooth count is a positive whole number and no pressure-angle or helix correction is applied.
- Tooth strength, interference, center distance, backlash, and mating-gear compatibility are not approved by this arithmetic.
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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