Length given Potential Energy due to Deformation of Free Surface Calculator

✖Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level.ⓘ Potential Energy of Wave [E_p]			+10% -10%
✖Density of Fluid is the mass of fluid per unit volume of the fluid.ⓘ Density of Fluid [ρ]			+10% -10%
✖Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.ⓘ Surface Elevation [η]			+10% -10%

✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Length given Potential Energy due to Deformation of Free Surface [λ]

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Length given Potential Energy due to Deformation of Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2)
λ = (2*E_p)/(ρ*[g]*η^2)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.
Potential Energy of Wave - (Measured in Joule) - Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is the mass of fluid per unit volume of the fluid.
Surface Elevation - (Measured in Meter) - Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.

STEP 1: Convert Input(s) to Base Unit

Potential Energy of Wave: 324.35 Joule --> 324.35 Joule No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Surface Elevation: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (2*E_p)/(ρ*[g]*η^2) --> (2*324.35)/(1.225*[g]*6^2)

Evaluating ... ...

λ = 1.49997711419225

STEP 3: Convert Result to Output's Unit

1.49997711419225 Meter --> No Conversion Required

FINAL ANSWER

1.49997711419225 ≈ 1.499977 Meter <-- Wavelength

(Calculation completed in 00.020 seconds)

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< Potential Energy Calculators

Surface Elevation given Potential Energy due to Deformation of Free Surface

LaTeX Go Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength))

Potential Energy per unit Width in One Wave

LaTeX Go Potential Energy per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength

Length given Potential Energy due to Deformation of Free Surface

LaTeX Go Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2)

Potential Energy due to Deformation of Free Surface

LaTeX Go Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2

Length given Potential Energy due to Deformation of Free Surface Formula

LaTeX Go

Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2)
λ = (2*E_p)/(ρ*[g]*η^2)

What is Wave Number?

The Wave number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance.

Do waves have Potential Energy?

When particles in water become part of a wave, they start to move up or down. This means that some of their kinetic energy has been converted into potential energy – the energy of particles in a wave oscillates between kinetic and potential energy.

How to Calculate Length given Potential Energy due to Deformation of Free Surface?

Length given Potential Energy due to Deformation of Free Surface calculator uses Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2) to calculate the Wavelength, The Length given Potential Energy due to Deformation of Free Surface formula is defined as the dimension of harbour geometry relative to length. Wavelength is denoted by λ symbol.

How to calculate Length given Potential Energy due to Deformation of Free Surface using this online calculator? To use this online calculator for Length given Potential Energy due to Deformation of Free Surface, enter Potential Energy of Wave (E_p), Density of Fluid (ρ) & Surface Elevation (η) and hit the calculate button. Here is how the Length given Potential Energy due to Deformation of Free Surface calculation can be explained with given input values -> 1.499977 = (2*324.35)/(1.225*[g]*6^2).

FAQ

What is Length given Potential Energy due to Deformation of Free Surface?

The Length given Potential Energy due to Deformation of Free Surface formula is defined as the dimension of harbour geometry relative to length and is represented as λ = (2*E_p)/(ρ*[g]*η^2) or Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2). Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level, Density of Fluid is the mass of fluid per unit volume of the fluid & Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.

How to calculate Length given Potential Energy due to Deformation of Free Surface?

The Length given Potential Energy due to Deformation of Free Surface formula is defined as the dimension of harbour geometry relative to length is calculated using Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2). To calculate Length given Potential Energy due to Deformation of Free Surface, you need Potential Energy of Wave (E_p), Density of Fluid (ρ) & Surface Elevation (η). With our tool, you need to enter the respective value for Potential Energy of Wave, Density of Fluid & Surface Elevation 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 Potential Energy of Wave, Density of Fluid & Surface Elevation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)

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