Wavelength given Deepwater Wavelength Calculator

✖Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖The wave number quantifies the number of waves per unit length along the surface of the water.ⓘ 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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Formula

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Wavelength given Deepwater Wavelength

Formula

`"λ" = "λ"_{"o"}*tanh("k"*"d")`

Example

`"13m"="13m"*tanh("5"*"1.55m")`

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Wavelength given Deepwater Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Deep-Water 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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Wave Number - The wave number quantifies the number of waves per unit length along the surface of the water.
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

Deep-Water 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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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 14 Wavelength Calculators

Water depth given wave celerity and wavelength

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

Wavelength given wave celerity and wave speed

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

Eckert's equation for Wavelength

Go Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength))

Wavelength as Function of Water Depth and Wave Period

Go Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth)

Wavelength as Function of Depth and Wave Period

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

Wavelength given Deepwater Wavelength

Go Wavelength = Deep-Water Wavelength*tanh(Wave Number*Water Depth)

Long Wave simplification for Wavelength

Go Wavelength = Wave Period*sqrt([g]*Water Depth)

Wavelength given Deepwater celerity and Deepwater wavelength

Go Wavelength = (Deep-Water Wavelength*Wave Celerity)/Deepwater Wave Celerity

Deepwater wavelength given Deepwater celerity

Go Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity

Deepwater Wavelength given Celerity of Deepwater Wave

Go Deep-Water Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]

Deepwater Wavelength given Wave Celerity

Go Deep-Water Wavelength = Deepwater Wave Celerity*Wave Period

Wavelength given wave celerity

Go Wavelength = Wave Celerity*Wave Period

Deepwater Wavelength given Units of Feet

Go Deep-Water Wavelength in Feet = 5.12*Wave Period^2

Deepwater Wavelength when SI systems Units of meters is considered

Go Deep-Water Wavelength = 1.56*Wave Period^2

Wavelength given Deepwater Wavelength Formula

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

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, λ. 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 travels at higher speed.

How to Calculate Wavelength given Deepwater Wavelength?

Wavelength given Deepwater Wavelength calculator uses Wavelength = Deep-Water Wavelength*tanh(Wave Number*Water Depth) to calculate the Wavelength, The Wavelength given Deepwater Wavelength determines 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 Deep-Water 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 determines 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 = Deep-Water Wavelength*tanh(Wave Number*Water Depth). Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave, The wave number quantifies the number of waves per unit length along the surface of the water & 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 determines the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits is calculated using Wavelength = Deep-Water Wavelength*tanh(Wave Number*Water Depth). To calculate Wavelength given Deepwater Wavelength, you need Deep-Water Wavelength (λ_o), Wave Number (k) & Water Depth (d). With our tool, you need to enter the respective value for Deep-Water 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 Deep-Water Wavelength, Wave Number & Water Depth. We can use 7 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)
Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth)
Wavelength = (Deep-Water Wavelength*Wave Celerity)/Deepwater Wave Celerity
Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength))
Wavelength = Wave Period*sqrt([g]*Water Depth)

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