Wavelength for Potential Energy per unit Width in One Wave Calculator

✖Potential energy per unit width refers to the amount of potential energy stored per unit distance along the width of a body or structure.ⓘ Potential Energy per Unit Width [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%
✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%

✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Wavelength for Potential Energy per unit Width in One Wave [λ]

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Formula

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Wavelength for Potential Energy per unit Width in One Wave

Formula

`"λ" = "PE"/(0.0625*"ρ"*"[g]"*"H"^2)`

Example

`"1.499098m"="10.13J/m"/(0.0625*"1.225kg/m³"*"[g]"*("3m")^2)`

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Wavelength for Potential Energy per unit Width in One Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)
λ = PE/(0.0625*ρ*[g]*H^2)
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.
Potential Energy per Unit Width - (Measured in Joule per Meter) - Potential energy per unit width refers to the amount of potential energy stored per unit distance along the width of a body or structure.
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.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

STEP 1: Convert Input(s) to Base Unit

Potential Energy per Unit Width: 10.13 Joule per Meter --> 10.13 Joule per Meter No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = PE/(0.0625*ρ*[g]*H^2) --> 10.13/(0.0625*1.225*[g]*3^2)

Evaluating ... ...

λ = 1.49909844716066

STEP 3: Convert Result to Output's Unit

1.49909844716066 Meter --> No Conversion Required

FINAL ANSWER

1.49909844716066 ≈ 1.499098 Meter <-- Wavelength

(Calculation completed in 00.012 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 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

Wavelength for Potential Energy per unit Width in One Wave Formula

Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)
λ = PE/(0.0625*ρ*[g]*H^2)

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 Wavelength for Potential Energy per unit Width in One Wave?

Wavelength for Potential Energy per unit Width in One Wave calculator uses Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2) to calculate the Wavelength, The Wavelength for Potential Energy per unit Width in One Wave formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

How to calculate Wavelength for Potential Energy per unit Width in One Wave using this online calculator? To use this online calculator for Wavelength for Potential Energy per unit Width in One Wave, enter Potential Energy per Unit Width (PE), Density of Fluid (ρ) & Wave Height (H) and hit the calculate button. Here is how the Wavelength for Potential Energy per unit Width in One Wave calculation can be explained with given input values -> 1.499098 = 10.13/(0.0625*1.225*[g]*3^2).

FAQ

What is Wavelength for Potential Energy per unit Width in One Wave?

The Wavelength for Potential Energy per unit Width in One Wave formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ = PE/(0.0625*ρ*[g]*H^2) or Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). Potential energy per unit width refers to the amount of potential energy stored per unit distance along the width of a body or structure, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Wavelength for Potential Energy per unit Width in One Wave?

The Wavelength for Potential Energy per unit Width in One Wave formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). To calculate Wavelength for Potential Energy per unit Width in One Wave, you need Potential Energy per Unit Width (PE), Density of Fluid (ρ) & Wave Height (H). With our tool, you need to enter the respective value for Potential Energy per Unit Width, Density of Fluid & Wave Height 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 Wavelength?

In this formula, Wavelength uses Potential Energy per Unit Width, Density of Fluid & Wave Height. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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