Eckert's equation for 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%
✖Water Depth of the considered catchment. Water depth means the depth as 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.ⓘ Eckert's equation for Wavelength [λ]

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Eckert's equation for Wavelength

Formula

`"λ" = "λ"_{"o"}*sqrt(tanh((2*pi*"d")/"λ"_{"o"}))`

Example

`"10.35637m"="13m"*sqrt(tanh((2*pi*"1.55m")/"13m"))`

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Eckert's equation for Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength))
λ = λ_o*sqrt(tanh((2*pi*d)/λ_o))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as 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
Water Depth: 1.55 Meter --> 1.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = λ_o*sqrt(tanh((2*pi*d)/λ_o)) --> 13*sqrt(tanh((2*pi*1.55)/13))

Evaluating ... ...

λ = 10.3563665420983

STEP 3: Convert Result to Output's Unit

10.3563665420983 Meter --> No Conversion Required

FINAL ANSWER

10.3563665420983 ≈ 10.35637 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

Eckert's equation for Wavelength Formula

Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength))
λ = λ_o*sqrt(tanh((2*pi*d)/λ_o))

What is Wave Energy?

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 to Calculate Eckert's equation for Wavelength?

Eckert's equation for Wavelength calculator uses Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength)) to calculate the Wavelength, The Eckert's equation for Wavelength is defined as the distance between successive crests of a wave. The distance between two identical points on successive waves, for example crest to crest, or trough to trough. Wavelength is denoted by λ symbol.

How to calculate Eckert's equation for Wavelength using this online calculator? To use this online calculator for Eckert's equation for Wavelength, enter Deep-Water Wavelength (λ_o) & Water Depth (d) and hit the calculate button. Here is how the Eckert's equation for Wavelength calculation can be explained with given input values -> 6.579447 = 13*sqrt(tanh((2*pi*1.55)/13)).

FAQ

What is Eckert's equation for Wavelength?

The Eckert's equation for Wavelength is defined as the distance between successive crests of a wave. The distance between two identical points on successive waves, for example crest to crest, or trough to trough and is represented as λ = λ_o*sqrt(tanh((2*pi*d)/λ_o)) or Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength)). Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave & Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Eckert's equation for Wavelength?

The Eckert's equation for Wavelength is defined as the distance between successive crests of a wave. The distance between two identical points on successive waves, for example crest to crest, or trough to trough is calculated using Wavelength = Deep-Water Wavelength*sqrt(tanh((2*pi*Water Depth)/Deep-Water Wavelength)). To calculate Eckert's equation for Wavelength, you need Deep-Water Wavelength (λ_o) & Water Depth (d). With our tool, you need to enter the respective value for Deep-Water Wavelength & 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 & 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*tanh(Wave Number*Water Depth)
Wavelength = Wave Period*sqrt([g]*Water Depth)

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