Examples
Examples
Try the starting example
- Period (seconds)
- 10
- Water depth (m)
- 20
- Gravity (m/s²)
- 9.80665
- Wave number (rad/m)
- 0.051837
- Wavelength (m)
- 121.209844
- Dispersion residual (1/s²)
- 0
Try another scenario
- Period (seconds)
- 11
- Water depth (m)
- 20
- Gravity (m/s²)
- 9.80665
- Wave number (rad/m)
- 0.045896
- Wavelength (m)
- 136.901759
- Dispersion residual (1/s²)
- -0
Calculation method
Calculation method
Wave number (rad/m)
Positive root of g k tanh(kh)=(2pi/T)².
Wavelength (m)
2pi/k.
Dispersion residual (1/s²)
g k tanh(kh)−(2pi/T)².
Symbols and units
- a
- Period (seconds)
- b
- Water depth (m)
- c
- Gravity (m/s²)
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
- Period, water depth, tolerance. Returns Wave number-wavelength and residual. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Period (seconds): minimum 1e-12, maximum 1000000000000.0. Water depth (m): minimum 1e-12, maximum 1000000000000.0. Gravity (m/s²): minimum 1e-12, maximum 1000000000000.0.
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.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.