Wavelength given Potential Energy per unit Length of Wave Crest Calculator

✖Potential Energy is the gravitational potential energy of water, which is influenced by the water's depth and the pressure exerted by the water column.ⓘ Potential Energy [PE]			+10% -10%
✖Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines.ⓘ Mass Density [ρ]			+10% -10%
✖Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.ⓘ Wave Height [H]			+10% -10%

✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ 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

`"26.79999m"="147391.7J"/((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 successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
Potential Energy - (Measured in Joule) - Potential Energy is the gravitational potential energy of water, which is influenced by the water's depth and the pressure exerted by the water column.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines.
Wave Height - (Measured in Meter) - Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.

STEP 1: Convert Input(s) to Base Unit

Potential Energy: 147391.7 Joule --> 147391.7 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) --> 147391.7/((1/16)*997*[g]*3^2)

Evaluating ... ...

λ = 26.7999921806983

STEP 3: Convert Result to Output's Unit

26.7999921806983 Meter --> No Conversion Required

FINAL ANSWER

26.7999921806983 ≈ 26.79999 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Energy per unit Length of Wave Crest » Wavelength given Potential Energy per unit Length of Wave Crest

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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, The Wavelength given Potential Energy per unit Length of Wave Crest Formula is defined as he distance between successive crests of a wave. It is a critical parameter in the study of wave dynamics and their interaction with coastal structures and also crucial for designing coastal structures (like breakwaters, seawalls, and piers) to withstand wave forces. The longer the wavelength and the higher the wave energy, the greater the force exerted on these structures. 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 -> 0.000727 = 147391.7/((1/16)*997*[g]*3^2).

FAQ

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

The Wavelength given Potential Energy per unit Length of Wave Crest Formula is defined as he distance between successive crests of a wave. It is a critical parameter in the study of wave dynamics and their interaction with coastal structures and also crucial for designing coastal structures (like breakwaters, seawalls, and piers) to withstand wave forces. The longer the wavelength and the higher the wave energy, the greater the force exerted on these structures 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 gravitational potential energy of water, which is influenced by the water's depth and the pressure exerted by the water column, Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines & Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.

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

The Wavelength given Potential Energy per unit Length of Wave Crest Formula is defined as he distance between successive crests of a wave. It is a critical parameter in the study of wave dynamics and their interaction with coastal structures and also crucial for designing coastal structures (like breakwaters, seawalls, and piers) to withstand wave forces. The longer the wavelength and the higher the wave energy, the greater the force exerted on these structures 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.

How many ways are there to calculate Wavelength?

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

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

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