Deep-water wavelength estimate calculator

Calculate deep-water wavelength and deep-water phase speed with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use deep-water wavelength and deep-water phase speed to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Wave period (seconds)
10
Gravitational acceleration (m/s²)
9.80665
Deep-water wavelength (m)
156.077682
Deep-water phase speed (m/s)
15.607768

Try another scenario

Wave period (seconds)
11
Gravitational acceleration (m/s²)
9.80665
Deep-water wavelength (m)
188.853996
Deep-water phase speed (m/s)
17.168545
Calculation method

Calculation method

Deep-water wavelength (m)

g T²/(2pi), linear small-amplitude deep-water assumption.

Deep-water phase speed (m/s)

g T/(2pi).

Symbols and units
a
Wave period (seconds)
b
Gravitational acceleration (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

  • Wave period, gravity. Returns Ideal deep-water wavelength. 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. Wave period (seconds): minimum 1e-12, maximum 1000000000000.0. Gravitational acceleration (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

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.