Wave Height 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%
✖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 [λ]			+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 given Potential Energy per unit Length of Wave Crest [H]

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Wave Height given Potential Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt(PE/((1/16)*ρ*[g]*λ)) --> sqrt(147391.7/((1/16)*997*[g]*26.8))

Evaluating ... ...

H = 2.99999956235249

STEP 3: Convert Result to Output's Unit

2.99999956235249 Meter --> No Conversion Required

FINAL ANSWER

2.99999956235249 ≈ 3 Meter <-- Wave Height

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Energy per unit Length of Wave Crest Calculators

Wave Height given Kinetic Energy per unit Length of Wave Crest

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

Wavelength for Kinetic Energy per unit Length of Wave Crest

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

Kinetic Energy per unit Length of Wave Crest

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

Potential Energy per unit Length of Wave Crest

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

Wave Height given Potential Energy per unit Length of Wave Crest Formula

LaTeX Go

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

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 Wave Height given Potential Energy per unit Length of Wave Crest?

Wave Height given Potential Energy per unit Length of Wave Crest calculator uses Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)) to calculate the Wave Height, The Wave Height given Potential Energy per unit Length of Wave Crest Formula is defined as a measure of the energy stored in the form of gravitational potential energy in a wave. This energy is directly related to the height of the wave, which is a critical parameter in studying wave dynamics and their effects on coastal and offshore structures. Wave Height is denoted by H symbol.

How to calculate Wave Height given Potential Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Wave Height given Potential Energy per unit Length of Wave Crest, enter Potential Energy (PE), Mass Density (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Potential Energy per unit Length of Wave Crest calculation can be explained with given input values -> 0.015628 = sqrt(147391.7/((1/16)*997*[g]*26.8)).

FAQ

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

The Wave Height given Potential Energy per unit Length of Wave Crest Formula is defined as a measure of the energy stored in the form of gravitational potential energy in a wave. This energy is directly related to the height of the wave, which is a critical parameter in studying wave dynamics and their effects on coastal and offshore structures and is represented as H = sqrt(PE/((1/16)*ρ*[g]*λ)) or Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). 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 & 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.

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

The Wave Height given Potential Energy per unit Length of Wave Crest Formula is defined as a measure of the energy stored in the form of gravitational potential energy in a wave. This energy is directly related to the height of the wave, which is a critical parameter in studying wave dynamics and their effects on coastal and offshore structures is calculated using Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). To calculate Wave Height given Potential Energy per unit Length of Wave Crest, you need Potential Energy (PE), Mass Density (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Potential Energy, Mass Density & Wavelength 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 Wave Height?

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

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

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