Length given potential energy due to deformation of free surface Calculator

✖The potential energy of wave refers to 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 defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ]			+10% -10%
✖Surface Elevation measured is the elevation of a geographic location is its height above or below a fixed reference point.ⓘ 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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Formula

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Length given potential energy due to deformation of free surface

Formula

`"λ" = (2*"E"_{"p"})/("ρ"*"[g]"*"η"^2)`

Example

`"1.499977m"=(2*"324.35J")/("1.225kg/m³"*"[g]"*("6m")^2)`

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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) - The potential energy of wave refers to 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 defined as the mass of fluid per unit volume of the said fluid.
Surface Elevation - (Measured in Meter) - Surface Elevation measured is the elevation of a geographic location is its height above or below a fixed reference point.

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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Coorg Institute of Technology (CIT), Coorg

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< 6 Potential Energy Calculators

Wave Height given Potential Energy per Unit Width in One Wave

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

Surface elevation given potential energy due to deformation of free surface

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

Wavelength for potential energy per unit width in one wave

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

Potential Energy per unit width in one wave

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

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

Potential energy due to deformation of free surface

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

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

Is potential energy associated with waves?

Yes, waves possess potential energy due to their height or amplitude above the surrounding water level.

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 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 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). The potential energy of wave refers to the energy stored within the wave due to its height or amplitude above the surrounding water level, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Surface Elevation measured is the elevation of a geographic location is its height above or below a fixed reference point.

How to calculate Length given potential energy due to deformation of free surface?

The length given potential energy due to deformation of free surface 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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