Wavelength given Deepwater Wavelength Calculator

✖Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.ⓘ DeepWater Wavelength [λ_o]			+10% -10%
✖Wave Number is the number of wavelengths per unit distance along the propagation of a wave.ⓘ Wave Number [k]			+10% -10%
✖Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength given Deepwater Wavelength [λ]

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Wavelength given Deepwater Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth)
λ = λ_o*tanh(k*d)
This formula uses 1 Functions, 4 Variables

Functions Used

tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)

Variables Used

Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
DeepWater Wavelength - (Measured in Meter) - Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.
Wave Number - Wave Number is the number of wavelengths per unit distance along the propagation of a wave.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

DeepWater Wavelength: 13 Meter --> 13 Meter No Conversion Required
Wave Number: 5 --> No Conversion Required
Water Depth: 1.55 Meter --> 1.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = λ_o*tanh(k*d) --> 13*tanh(5*1.55)

Evaluating ... ...

λ = 12.9999951759834

STEP 3: Convert Result to Output's Unit

12.9999951759834 Meter --> No Conversion Required

FINAL ANSWER

12.9999951759834 ≈ 13 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Wavelength Calculators

Wavelength given Wave Celerity and Wave Speed

LaTeX Go Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))

Wavelength as Function of Depth and Wave Period

LaTeX Go Wavelength = (([g]*Wave Period^2)/(2*pi))*tanh(Wave Number*Water Depth)

Deepwater Wavelength given Wave Celerity

LaTeX Go DeepWater Wavelength = Deepwater Wave Celerity*Wave Period

Wavelength given Wave Celerity

LaTeX Go Wavelength = Wave Celerity*Wave Period

Wavelength given Deepwater Wavelength Formula

LaTeX Go

Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth)
λ = λ_o*tanh(k*d)

What are Water Waves & Wave Energy?

A wave, a ridge or swell on the surface of a body of water, normally having a forward motion distinct from the oscillatory motion of the particles that successively compose it. Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period.
Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water.

How does Depth affect Wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one-half of the wavelength of the wave. The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travel at a higher speed.

How to Calculate Wavelength given Deepwater Wavelength?

Wavelength given Deepwater Wavelength calculator uses Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth) to calculate the Wavelength, The Wavelength given Deepwater Wavelength formula is defined as the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits. Wavelength is denoted by λ symbol.

How to calculate Wavelength given Deepwater Wavelength using this online calculator? To use this online calculator for Wavelength given Deepwater Wavelength, enter DeepWater Wavelength (λ_o), Wave Number (k) & Water Depth (d) and hit the calculate button. Here is how the Wavelength given Deepwater Wavelength calculation can be explained with given input values -> 6.999997 = 13*tanh(5*1.55).

FAQ

What is Wavelength given Deepwater Wavelength?

The Wavelength given Deepwater Wavelength formula is defined as the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits and is represented as λ = λ_o*tanh(k*d) or Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth). Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough, Wave Number is the number of wavelengths per unit distance along the propagation of a wave & Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.

How to calculate Wavelength given Deepwater Wavelength?

The Wavelength given Deepwater Wavelength formula is defined as the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits is calculated using Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth). To calculate Wavelength given Deepwater Wavelength, you need DeepWater Wavelength (λ_o), Wave Number (k) & Water Depth (d). With our tool, you need to enter the respective value for DeepWater Wavelength, Wave Number & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wavelength?

In this formula, Wavelength uses DeepWater Wavelength, Wave Number & Water Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -

Wavelength = Wave Celerity*Wave Period
Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))
Wavelength = (([g]*Wave Period^2)/(2*pi))*tanh(Wave Number*Water Depth)

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