Wavelength given Potential Energy per unit Length of Wave Crest Calculator

✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy [PE]			+10% -10%
✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density [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 is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength given Potential Energy per unit Length of Wave Crest [λ]

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Formula

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Wavelength given Potential Energy per unit Length of Wave Crest

Formula

`"λ" = "PE"/((1/16)*"ρ"*"[g]"*"H"^2)`

Example

`"727313.5nm"="4J"/((1/16)*"997kg/m³"*"[g]"*("3m")^2)`

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Wavelength given Potential Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2)
λ = PE/((1/16)*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 is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
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.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
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
Mass Density: 997 Kilogram per Cubic Meter --> 997 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/((1/16)*ρ*[g]*H^2) --> 4/((1/16)*997*[g]*3^2)

Evaluating ... ...

λ = 0.000727313469637662

STEP 3: Convert Result to Output's Unit

0.000727313469637662 Meter -->727313.469637662 Nanometer (Check conversion here)

FINAL ANSWER

727313.469637662 ≈ 727313.5 Nanometer <-- Wavelength

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 6 Energy per unit Length of Wave Crest Calculators

Wave Height given Kinetic Energy per unit Length of Wave Crest

Go Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))

Wave Height given Potential Energy per unit Length of Wave Crest

Go Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength))

Wavelength for Kinetic Energy per unit Length of Wave Crest

Go Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)

Kinetic Energy per unit Length of Wave Crest

Go Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength

Wavelength given Potential Energy per unit Length of Wave Crest

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

Potential Energy per unit Length of Wave Crest

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

Wavelength given Potential Energy per unit Length of Wave Crest Formula

Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2)
λ = PE/((1/16)*ρ*[g]*H^2)

What is potential energy of wave?

The potential energy associated with a wavelength of the wave is equal to the kinetic energy associated with a wavelength. The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy.

How to Calculate Wavelength given Potential Energy per unit Length of Wave Crest?

Wavelength given Potential Energy per unit Length of Wave Crest calculator uses Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2) to calculate the Wavelength, Wavelength given Potential Energy per unit Length of Wave Crest can be defined as distance between two successive crests or troughs of wave. . Wavelength is denoted by λ symbol.

How to calculate Wavelength given Potential Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Wavelength given Potential Energy per unit Length of Wave Crest, enter Potential Energy (PE), Mass Density (ρ) & Wave Height (H) and hit the calculate button. Here is how the Wavelength given Potential Energy per unit Length of Wave Crest calculation can be explained with given input values -> 7.3E+14 = 4/((1/16)*997*[g]*3^2).

FAQ

What is Wavelength given Potential Energy per unit Length of Wave Crest?

Wavelength given Potential Energy per unit Length of Wave Crest can be defined as distance between two successive crests or troughs of wave. and is represented as λ = PE/((1/16)*ρ*[g]*H^2) or Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, Mass Density is a physical quantity that represents the mass of a substance per unit volume & Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Wavelength given Potential Energy per unit Length of Wave Crest?

Wavelength given Potential Energy per unit Length of Wave Crest can be defined as distance between two successive crests or troughs of wave. is calculated using Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2). To calculate Wavelength given Potential Energy per unit Length of Wave Crest, you need Potential Energy (PE), Mass Density (ρ) & Wave Height (H). With our tool, you need to enter the respective value for Potential Energy, Mass Density & 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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