Length given potential energy due to deformation of free surface Calculator

✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy [PE]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+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%

✖Length is the measurement or extent of something from end to end.ⓘ Length given potential energy due to deformation of free surface [L]

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Formula

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Length given potential energy due to deformation of free surface

Formula

`"L" = (2*"PE")/("ρ"_{"fluid"}*"[g]"*"η"^2)`

Example

`"3.014654m"=(2*"4J")/("1.225kg/m³"*"[g]"*("0.47m")^2)`

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Length given potential energy due to deformation of free surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2)
L = (2*PE)/(ρ_fluid*[g]*η^2)
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Potential Energy - (Measured in Joule) - Potential Energy is the energy that is stored in an object due to its position relative to some zero position.
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: 4 Joule --> 4 Joule No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Surface Elevation: 0.47 Meter --> 0.47 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (2*PE)/(ρ_fluid*[g]*η^2) --> (2*4)/(1.225*[g]*0.47^2)

Evaluating ... ...

L = 3.01465422670649

STEP 3: Convert Result to Output's Unit

3.01465422670649 Meter --> No Conversion Required

FINAL ANSWER

3.01465422670649 ≈ 3.014654 Meter <-- Length

(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/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)/Density of Fluid*[g]*Length)

Wavelength for potential energy per unit width in one wave

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

Potential Energy per unit width in one wave

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

Length given potential energy due to deformation of free surface

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

Potential energy due to deformation of free surface

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

Length given potential energy due to deformation of free surface Formula

Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2)
L = (2*PE)/(ρ_fluid*[g]*η^2)

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 Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2) to calculate the Length, Length given potential energy due to deformation of free surface is defined as dimension of harbor geometry relative to length. Length is denoted by L 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 (PE), Density of Fluid (ρ_fluid) & 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 -> 3.014654 = (2*4)/(1.225*[g]*0.47^2).

FAQ

What is Length given potential energy due to deformation of free surface?

Length given potential energy due to deformation of free surface is defined as dimension of harbor geometry relative to length and is represented as L = (2*PE)/(ρ_fluid*[g]*η^2) or Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, 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?

Length given potential energy due to deformation of free surface is defined as dimension of harbor geometry relative to length is calculated using Length = (2*Potential Energy)/(Density of Fluid*[g]*Surface Elevation^2). To calculate Length given potential energy due to deformation of free surface, you need Potential Energy (PE), Density of Fluid (ρ_fluid) & Surface Elevation (η). With our tool, you need to enter the respective value for Potential Energy, 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.

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