Eckart's Equation for Wavelength Calculator

✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [P]			+10% -10%
✖Water Depth of the considered catchment is 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.ⓘ Eckart's Equation for Wavelength [λ]

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Eckart's Equation for Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))
λ = (([g]*P^2/2*pi)*sqrt(tanh(4*pi^2*d)/P^2*[g]))
This formula uses 2 Constants, 2 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
Wave Period - Wave Period is the time between successive peaks or troughs.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Wave Period: 1.03 --> No Conversion Required
Water Depth: 0.91 Meter --> 0.91 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (([g]*P^2/2*pi)*sqrt(tanh(4*pi^2*d)/P^2*[g])) --> (([g]*1.03^2/2*pi)*sqrt(tanh(4*pi^2*0.91)/1.03^2*[g]))

Evaluating ... ...

λ = 49.6864667882897

STEP 3: Convert Result to Output's Unit

49.6864667882897 Meter --> No Conversion Required

FINAL ANSWER

49.6864667882897 ≈ 49.68647 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Wave Parameters Calculators

Phase Velocity or Wave Celerity

LaTeX Go Celerity of the Wave = Wavelength/Wave Period

Angular of Radian Frequency of Wave

LaTeX Go Wave Angular Frequency = 2*pi/Wave Period

Wave number given wavelength

LaTeX Go Wave Number = 2*pi/Wavelength

Wave Amplitude

LaTeX Go Wave Amplitude = Wave Height/2

Eckart's Equation for Wavelength Formula

LaTeX Go

Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))
λ = (([g]*P^2/2*pi)*sqrt(tanh(4*pi^2*d)/P^2*[g]))

What are Water waves ?

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.

How to Calculate Eckart's Equation for Wavelength?

Eckart's Equation for Wavelength calculator uses Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g])) to calculate the Wavelength, The Eckart's Equation for Wavelength formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

How to calculate Eckart's Equation for Wavelength using this online calculator? To use this online calculator for Eckart's Equation for Wavelength, enter Wave Period (P) & Water Depth (d) and hit the calculate button. Here is how the Eckart's Equation for Wavelength calculation can be explained with given input values -> 49.68647 = (([g]*1.03^2/2*pi)*sqrt(tanh(4*pi^2*0.91)/1.03^2*[g])).

FAQ

What is Eckart's Equation for Wavelength?

The Eckart's Equation for Wavelength formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ = (([g]*P^2/2*pi)*sqrt(tanh(4*pi^2*d)/P^2*[g])) or Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g])). Wave Period is the time between successive peaks or troughs & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Eckart's Equation for Wavelength?

The Eckart's Equation for Wavelength formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g])). To calculate Eckart's Equation for Wavelength, you need Wave Period (P) & Water Depth (d). With our tool, you need to enter the respective value for Wave Period & 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 Wave Period & Water Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wavelength = Wave Height/0.142
Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142)

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