Surface elevation 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%
✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Surface Elevation measured is the elevation of a geographic location is its height above or below a fixed reference point.ⓘ Surface elevation given potential energy due to deformation of free surface [η]

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Formula

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Surface elevation given potential energy due to deformation of free surface

Formula

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

Example

`"5.999954m"=sqrt((2*"324.35J")/("1.225kg/m³"*"[g]"*"1.5m"))`

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Surface elevation given potential energy due to deformation of free surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = sqrt((2*E_p)/(ρ*[g]*λ)) --> sqrt((2*324.35)/(1.225*[g]*1.5))

Evaluating ... ...

η = 5.99995422820991

STEP 3: Convert Result to Output's Unit

5.99995422820991 Meter --> No Conversion Required

FINAL ANSWER

5.99995422820991 ≈ 5.999954 Meter <-- Surface Elevation

(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 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

Surface elevation given potential energy due to deformation of free surface Formula

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

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 Surface elevation given potential energy due to deformation of free surface?

Surface elevation given potential energy due to deformation of free surface calculator uses Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)) to calculate the Surface Elevation, Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point. Surface Elevation is denoted by η symbol.

How to calculate Surface elevation given potential energy due to deformation of free surface using this online calculator? To use this online calculator for Surface elevation given potential energy due to deformation of free surface, enter Potential Energy of Wave (E_p), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Surface elevation given potential energy due to deformation of free surface calculation can be explained with given input values -> 1.41947 = sqrt((2*324.35)/(1.225*[g]*1.5)).

FAQ

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

Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point and is represented as η = sqrt((2*E_p)/(ρ*[g]*λ)) or Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)). 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 & Wavelength refers to the distance between successive crests or troughs of a wave.

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

Surface elevation given potential energy due to deformation of free surface is defined as elevation of geographic location is its height above or below fixed reference point is calculated using Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)). To calculate Surface elevation given potential energy due to deformation of free surface, you need Potential Energy of Wave (E_p), Density of Fluid (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Potential Energy of Wave, Density of Fluid & 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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