Wavelength for potential energy per unit width in one wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = Potential Energy/(0.0625*Density of Fluid*[g]*Wave Height^2)
λ = PE/(0.0625*ρfluid*[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 can be defined as the distance between two successive crests or troughs of a wave.
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.
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: 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
Wave Height: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = PE/(0.0625*ρfluid*[g]*H^2) --> 4/(0.0625*1.225*[g]*3^2)
Evaluating ... ...
λ = 0.591944105492856
STEP 3: Convert Result to Output's Unit
0.591944105492856 Meter --> No Conversion Required
FINAL ANSWER
0.591944105492856 0.591944 Meter <-- Wavelength
(Calculation completed in 00.004 seconds)

Credits

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/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

Wavelength for potential energy per unit width in one wave Formula

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

What is Wavenumber?

Wavenumber is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

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/(0.0625*Density of Fluid*[g]*Wave Height^2) to calculate the Wavelength, The Wavelength for potential energy per unit width in one wave is 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 (PE), Density of Fluid fluid) & 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 -> 0.591944 = 4/(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 is 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*ρfluid*[g]*H^2) or Wavelength = Potential Energy/(0.0625*Density of Fluid*[g]*Wave Height^2). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, 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 is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Wavelength = Potential Energy/(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 (PE), Density of Fluid fluid) & Wave Height (H). With our tool, you need to enter the respective value for Potential Energy, 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.
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