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_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 [L]			+10% -10%

✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential energy due to deformation of free surface [PE]

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Formula

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Potential energy due to deformation of free surface

Formula

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

Example

`"3.980556J"=("1.225kg/m³"*"[g]"*("0.47m")^2*"3m")/2`

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Potential energy due to deformation of free surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

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: 0.47 Meter --> 0.47 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PE = (ρ_fluid*[g]*η^2*L)/2 --> (1.225*[g]*0.47^2*3)/2

Evaluating ... ...

PE = 3.9805560099375

STEP 3: Convert Result to Output's Unit

3.9805560099375 Joule --> No Conversion Required

FINAL ANSWER

3.9805560099375 ≈ 3.980556 Joule <-- Potential Energy

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

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

Potential energy due to deformation of free surface Formula

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

What is Wavenumber?

The Wavenumber 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.

How to Calculate Potential energy due to deformation of free surface?

Potential energy due to deformation of free surface calculator uses Potential Energy = (Density of Fluid*[g]*Surface Elevation^2*Length)/2 to calculate the Potential Energy, The Potential energy due to deformation of free surface is given by the mass and acceleration due to gravity, the elevation of the center of mass calculating the energy per unit width in one wave by considering an element of width 1 and length and with elevation. Potential Energy is denoted by PE 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_fluid), Surface Elevation (η) & Length (L) 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 -> 3.980556 = (1.225*[g]*0.47^2*3)/2.

FAQ

What is Potential energy due to deformation of free surface?

The Potential energy due to deformation of free surface is given by the mass and acceleration due to gravity, the elevation of the center of mass calculating the energy per unit width in one wave by considering an element of width 1 and length and with elevation and is represented as PE = (ρ_fluid*[g]*η^2*L)/2 or Potential Energy = (Density of Fluid*[g]*Surface Elevation^2*Length)/2. 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 & Length is the measurement or extent of something from end to end.

How to calculate Potential energy due to deformation of free surface?

The Potential energy due to deformation of free surface is given by the mass and acceleration due to gravity, the elevation of the center of mass calculating the energy per unit width in one wave by considering an element of width 1 and length and with elevation is calculated using Potential Energy = (Density of Fluid*[g]*Surface Elevation^2*Length)/2. To calculate Potential energy due to deformation of free surface, you need Density of Fluid (ρ_fluid), Surface Elevation (η) & Length (L). With our tool, you need to enter the respective value for Density of Fluid, Surface Elevation & Length 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 Potential Energy?

In this formula, Potential Energy uses Density of Fluid, Surface Elevation & Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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