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Open Belt Length Estimate

Approximate open-belt length = 2C+π(D+d)/2+(D−d)²/(4C).

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Open belt drive length calculator online

Approximate open-belt length = 2C+π(D+d)/2+(D−d)²/(4C). Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 3 comma-separated numbers in this order: large pulley diameter, small pulley diameter, centre distance. Choose Calculate. Review the output, then copy or download it.

Calculation method

Approximate open-belt length = 2C+π(D+d)/2+(D−d)²/(4C).

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

100, 50, 300

With the input and settings above, the tool produces:

Output:

837.7027823525679

Limitations and common mistakes

Approximation with consistent length units; belt thickness, tension and exact contact geometry are excluded.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 3 comma-separated numbers in this order: large pulley diameter, small pulley diameter, centre distance. The worked example shows the supported structure and actual output.

How can I approximate open belt length online?

Enter 3 comma-separated numbers in this order: large pulley diameter, small pulley diameter, centre distance. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.