Surface Elevation given Potential Energy due to Deformation of Free Surface Calculator

✖Potential Energy of Wave is 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 the mass of fluid per unit volume of the 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 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 given Potential Energy due to Deformation of Free Surface [η]

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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 often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.
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 the mass of fluid per unit volume of the 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 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Potential Energy Calculators

Surface Elevation given Potential Energy due to Deformation of Free Surface

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

Potential Energy per unit Width in One Wave

LaTeX 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

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

Potential Energy due to Deformation of Free Surface

LaTeX 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

LaTeX Go

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

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 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, The Surface Elevation given Potential Energy due to Deformation of Free Surface formula is defined as the elevation of a geographic location as its height above or below a 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?

The Surface Elevation given Potential Energy due to Deformation of Free Surface formula is defined as the elevation of a geographic location as its height above or below a 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)). 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 is the mass of fluid per unit volume of the 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?

The Surface Elevation given Potential Energy due to Deformation of Free Surface formula is defined as the elevation of a geographic location as its height above or below a 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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