Eckert's Equation for 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%
✖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.ⓘ Eckert's Equation for Wavelength [λ]

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Eckert's Equation for Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater 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.
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.
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
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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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

Eckert's Equation for Wavelength Formula

LaTeX Go

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

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 Eckert's Equation for Wavelength?

Eckert's Equation for Wavelength calculator uses Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)) to calculate the Wavelength, The Eckert's Equation for Wavelength formula is defined as the calculating the wavelength of deepwater waves based on certain parameters like deepwater wavelength and water depth. 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 DeepWater 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 formula is defined as the calculating the wavelength of deepwater waves based on certain parameters like deepwater wavelength and water depth and is represented as λ = λ_o*sqrt(tanh((2*pi*d)/λ_o)) or Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)). Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough & Water Depth of the considered catchment is 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 formula is defined as the calculating the wavelength of deepwater waves based on certain parameters like deepwater wavelength and water depth is calculated using Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)). To calculate Eckert's Equation for Wavelength, you need DeepWater Wavelength (λ_o) & Water Depth (d). With our tool, you need to enter the respective value for DeepWater 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 DeepWater Wavelength & 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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