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Shallow Water Wave Speed Calculator

Find the speed of long waves in shallow water from the water depth.

Inputs

Results

Shallow water wave speed6.263114m/s
Speed22.54721km/h

Chart

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How to use the shallow water wave speed calculator

Find the speed of long waves in shallow water from the water depth. Enter water depth in the field above; the shallow water wave speed, speed are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “shallow water wave speed”, “tsunami shallow speed”, “sqrt(g d)”, “calculate shallow water wave speed”, “find shallow water wave speed”.

Formula

Shallow water wave speed (m/s) = √(GRAV × d)
Speed (km/h) = [Shallow water wave speed] × 3.6

Variables

  • d — Water depth (m)

Worked example

With water depth = 4 m, the calculator gives shallow water wave speed ≈ 6.263114 m/s; speed ≈ 22.54721 km/h.

Frequently asked questions

What is the shallow water wave speed calculator used for?

Find the speed of long waves in shallow water from the water depth. It helps with questions such as “shallow water wave speed”, “tsunami shallow speed”, “sqrt(g d)”.

What is the formula for the shallow water wave speed calculation?

Shallow water wave speed (m/s) = √(GRAV × d). Speed (km/h) = [Shallow water wave speed] × 3.6. Here d is water depth (m).

What inputs do I need for the shallow water wave speed calculator?

You need water depth in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the shallow water wave speed calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the shallow water wave speed result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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