Wave Height given Potential Energy per Unit Width in One Wave 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 [PE]			+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%

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height given Potential Energy per Unit Width in One Wave [H]

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Formula

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Wave Height given Potential Energy per Unit Width in One Wave

Formula

`"H" = sqrt("PE"/0.0625*"ρ"*"[g]"*"λ")`

Example

`"33.95971m"=sqrt("4J"/0.0625*"1.225kg/m³"*"[g]"*"1.5m")`

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Wave Height given Potential Energy per Unit Width in One Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = sqrt(Potential Energy of Wave/0.0625*Density of Fluid*[g]*Wavelength)
H = sqrt(PE/0.0625*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

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
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: 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
Wavelength: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt(PE/0.0625*ρ*[g]*λ) --> sqrt(4/0.0625*1.225*[g]*1.5)

Evaluating ... ...

H = 33.9597120129132

STEP 3: Convert Result to Output's Unit

33.9597120129132 Meter --> No Conversion Required

FINAL ANSWER

33.9597120129132 ≈ 33.95971 Meter <-- Wave Height

(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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< 6 Potential Energy Calculators

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))

Wave Height given Potential Energy per Unit Width in One Wave

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

Wavelength for potential energy per unit width in one wave

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

Potential Energy per unit width in one wave

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

Potential energy due to deformation of free surface

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

Wave Height given Potential Energy per Unit Width in One Wave Formula

Wave Height = sqrt(Potential Energy of Wave/0.0625*Density of Fluid*[g]*Wavelength)
H = sqrt(PE/0.0625*ρ*[g]*λ)

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 Wave Height given Potential Energy per Unit Width in One Wave?

Wave Height given Potential Energy per Unit Width in One Wave calculator uses Wave Height = sqrt(Potential Energy of Wave/0.0625*Density of Fluid*[g]*Wavelength) to calculate the Wave Height, Wave Height given Potential Energy per Unit Width in One Wave of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height is denoted by H symbol.

How to calculate Wave Height given Potential Energy per Unit Width in One Wave using this online calculator? To use this online calculator for Wave Height given Potential Energy per Unit Width in One Wave, enter Potential Energy of Wave (PE), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Potential Energy per Unit Width in One Wave calculation can be explained with given input values -> 33.95971 = sqrt(4/0.0625*1.225*[g]*1.5).

FAQ

What is Wave Height given Potential Energy per Unit Width in One Wave?

Wave Height given Potential Energy per Unit Width in One Wave of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H = sqrt(PE/0.0625*ρ*[g]*λ) or Wave Height = sqrt(Potential Energy of Wave/0.0625*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 Wave Height given Potential Energy per Unit Width in One Wave?

Wave Height given Potential Energy per Unit Width in One Wave of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height = sqrt(Potential Energy of Wave/0.0625*Density of Fluid*[g]*Wavelength). To calculate Wave Height given Potential Energy per Unit Width in One Wave, you need Potential Energy of Wave (PE), 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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