Potential Energy due to Deformation of Free Surface Calculator

✖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 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.ⓘ Wavelength [λ]			+10% -10%

✖Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level.ⓘ Potential Energy due to Deformation of Free Surface [E_p]

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Formula

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Potential Energy due to Deformation of Free Surface

Formula

`"E"_{"p"} = ("ρ"*"[g]"*"η"^2*"λ")/2`

Example

`"324.3549J"=("1.225kg/m³"*"[g]"*("6m")^2*"1.5m")/2`

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Potential Energy due to Deformation of Free Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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 defined as the mass of fluid per unit volume of the said 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.
Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

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
Wavelength: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_p = (ρ*[g]*η^2*λ)/2 --> (1.225*[g]*6^2*1.5)/2

Evaluating ... ...

E_p = 324.35494875

STEP 3: Convert Result to Output's Unit

324.35494875 Joule --> No Conversion Required

FINAL ANSWER

324.35494875 ≈ 324.3549 Joule <-- Potential Energy of Wave

(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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NSS College of Engineering (NSSCE), Palakkad

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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

Potential Energy due to Deformation of Free Surface Formula

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

Potential Energy due to Deformation of Free Surface calculator uses Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2 to calculate the Potential Energy of Wave, The Potential Energy due to Deformation of Free Surface formula is defined as the deformation of the free surface refers to the energy stored within a body of water as a result of its surface being elevated or depressed from its equilibrium position. Potential Energy of Wave is denoted by E_p symbol.

How to calculate Potential Energy due to Deformation of Free Surface using this online calculator? To use this online calculator for Potential Energy due to Deformation of Free Surface, enter Density of Fluid (ρ), Surface Elevation (η) & Wavelength (λ) and hit the calculate button. Here is how the Potential Energy due to Deformation of Free Surface calculation can be explained with given input values -> 5795.142 = (1.225*[g]*6^2*1.5)/2.

FAQ

What is Potential Energy due to Deformation of Free Surface?

The Potential Energy due to Deformation of Free Surface formula is defined as the deformation of the free surface refers to the energy stored within a body of water as a result of its surface being elevated or depressed from its equilibrium position and is represented as E_p = (ρ*[g]*η^2*λ)/2 or Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2. Density of Fluid is defined as the mass of fluid per unit volume of the said 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 & Wavelength refers to the distance between successive crests or troughs of a wave.

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

The Potential Energy due to Deformation of Free Surface formula is defined as the deformation of the free surface refers to the energy stored within a body of water as a result of its surface being elevated or depressed from its equilibrium position is calculated using Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2. To calculate Potential Energy due to Deformation of Free Surface, you need Density of Fluid (ρ), Surface Elevation (η) & Wavelength (λ). With our tool, you need to enter the respective value for Density of Fluid, Surface Elevation & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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