Examples
Examples
Try the starting example
- Prototype radius (metres)
- 100
- Scale denominator (dimensionless)
- 87
- Available model width (millimetres)
- 2500
- Model radius (millimetres)
- 1,149.425287
- Diameter fit margin (millimetres)
- 201.149425
Try another scenario
- Prototype radius (metres)
- 120
- Scale denominator (dimensionless)
- 76
- Available model width (millimetres)
- 3000
- Model radius (millimetres)
- 1,578.947368
- Diameter fit margin (millimetres)
- -157.894737
Calculation method
Calculation method
Model radius (millimetres)
Prototype metres×1000/scale denominator.
Diameter fit margin (millimetres)
Available width−2×scaled radius; negative means no fit.
Symbols and units
- a
- Prototype radius (metres)
- b
- Scale denominator (dimensionless)
- c
- Available model width (millimetres)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Pure scale conversion and bounding diameter fit. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.