GO-KART CALCULATOR

Go-Kart Chain Length
Calculator

Estimate chain pitches and an even link count from kart sprocket sizes, chain pitch and shaft spacing. Check the resulting center-distance adjustment.

Your setup

teeth
Range: 6.00–250 teeth
teeth
Range: 6.00–300 teeth
in
Enter pin-to-pin pitch; chain width and strength are separate specifications.
in
Range: 0.79–196.85 in

Your results

Calculated
Calculated chain pitches133.22pitches
Selected even link count134links
Selected chain length50.25in
Revised center distance18.15in

Each pitch corresponds to one link in the count. Rounding changes the center distance needed to fit the chain.

READ THE ASSUMPTIONS

Two-sprocket open-drive approximation only. Excludes tensioners, suspension travel, wear, chain sag and offset links. Confirm fit and manufacturer instructions before ordering.

THE FORMULA

How the calculation works

We use the standard chain-length approximation for an open drive with two sprockets.

x = C/p; L ≈ 2x + (N₁+N₂)/2 + (N₂−N₁)²/(4π²x); selected links = 2 × ceil(L/2)

Where:

  • L = chain length in pitches
  • C = shaft center distance
  • p = chain pitch, in the same unit as C
  • N₁ = front / driving sprocket teeth
  • N₂ = rear / driven sprocket teeth
Two sprockets connected by an open chain drive. Center distance C is measured between the shaft centers; chain length L follows the entire closed path.
Chain Length DiagramTwo-sprocket open drive · illustrative geometry
Front sprocket N₁ teeth
Rear sprocket N₂ teeth
← C: Shaft center distance →

A Worked Example

With equal 20-tooth sprockets, 0.5-inch pitch and 10-inch centers, x = 20 and L = 40 + 20 = 60 pitches. The selected chain is 60 links, or 30 inches.

What Your Result Means

Each pitch corresponds to one link in the count. Rounding changes the center distance needed to fit the chain.

Assumptions & Limitations

Two-sprocket open-drive approximation only. Excludes tensioners, suspension travel, wear, chain sag and offset links. Confirm fit and manufacturer instructions before ordering.

Common Mistakes

Do not use roller diameter as pitch or assume pitch alone establishes chain compatibility.

QUICK ANSWERS

Questions about this calculation

Which values should I enter?

Use the same unit for pitch p and center distance C. Do not use roller diameter as pitch or assume pitch alone establishes chain compatibility.

How should I interpret the result’s precision?

Displayed results are rounded for readability. Intermediate calculations retain floating-point precision; extra displayed decimals do not improve your input accuracy.

Can I use metric units?

Yes. Select Metric above the calculator to convert your inputs. Results always state their units. Tire-size designations keep their conventional mm and inch units.

Does this include a tensioner or idler?

No. This approximation models an open drive with two sprockets. A tensioner or idler changes the chain path and needs its own geometric analysis.

What if my chain length is between even links?

The tool rounds up to the next even pitch count and estimates the revised shaft spacing. Check available adjustment and actual fit before selecting a chain.

Method, sources & relevant guides

Two-sprocket chain approximation and even-pitch selection. Sprocket geometry is independently derived from the regular polygon chord.

Renold — Transmission chain installation & designer guide

Method documentation updated October 18, 2026. Independent professional review has not been claimed. Read the calculation and review policy.