THE NUMBERS, EXPLAINED
How to use this calculator.
Feed speed is volumetric flow divided by the circular filament cross-sectional area. This is the filament drive speed, not print-head travel speed.
Start with your inputs
Enter volumetric flow (mm³/s), filament diameter (mm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Volumetric flow (mm³/s) | 8 |
| Filament diameter (mm) | 2 |
A worked example
With the example inputs above, filament feed speed (mm/s) is 2.546479. Change the inputs to explore your own scenario.
Putting the example numbers into the formula
Filament feed speed (mm/s)
(8) ÷ (π × ((2) ÷ 2)^2) = 2.546479
| Result | Example answer |
|---|---|
| Filament feed speed (mm/s) | 2.546479 |
How this is calculated
Filament feed speed (mm/s)
a ÷ (π × (b ÷ 2)^2)
Symbols and units
- a
- Volumetric flow (mm³/s)
- b
- Filament diameter (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
π is the circle constant, approximately 3.141592653589793.
Assumptions and limits
Feed speed is volumetric flow divided by the circular filament cross-sectional area. This is the filament drive speed, not print-head travel speed.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Filament feed speed (mm/s). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Feed speed is volumetric flow divided by the circular filament cross-sectional area. This is the filament drive speed, not print-head travel speed.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: algebra and proportional reasoning ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
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