Wave Height given Kinetic Energy per unit Length of Wave Crest Calculator

✖Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines.ⓘ Kinetic Energy of Wave Crest [KE]			+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 Kinetic Energy per unit Length of Wave Crest [H]

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Formula

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Wave Height given Kinetic Energy per unit Length of Wave Crest

Formula

H = \sqrt{\frac{KE}{(\frac{1}{16}) \cdot ρ \cdot [g] \cdot λ}}

Example

3.003135 m = \sqrt{\frac{147.7 KJ}{(\frac{1}{16}) \cdot 997 kg/m³ \cdot [g] \cdot 26.8 m}}

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

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))
H = sqrt(KE/((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.
Kinetic Energy of Wave Crest - (Measured in Joule) - Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines.
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

Kinetic Energy of Wave Crest: 147.7 Kilojoule --> 147700 Joule (Check conversion here)
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(KE/((1/16)*ρ*[g]*λ)) --> sqrt(147700/((1/16)*997*[g]*26.8))

Evaluating ... ...

H = 3.00313548084639

STEP 3: Convert Result to Output's Unit

3.00313548084639 Meter --> No Conversion Required

FINAL ANSWER

3.00313548084639 ≈ 3.003135 Meter <-- Wave Height

(Calculation completed in 00.020 seconds)

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< 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))

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

Potential Energy per unit Length of Wave Crest

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

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

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

What is Wave Crest and Wave Trough?

Wave Crest is The highest part of a wave. Wave Trough is The lowest part of a wave. Wave Height is The vertical distance between the wave trough and the wave crest.

How to Calculate Wave Height given Kinetic Energy per unit Length of Wave Crest?

Wave Height given Kinetic Energy per unit Length of Wave Crest calculator uses Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength)) to calculate the Wave Height, The Wave Height given Kinetic Energy per unit Length of Wave Crest Formula is defined as the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. Kinetic energy per unit length of the wave crest is a measure of the energy contained within a wave per unit length along the crest of the wave. Wave Height is denoted by H symbol.

How to calculate Wave Height given Kinetic Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Wave Height given Kinetic Energy per unit Length of Wave Crest, enter Kinetic Energy of Wave Crest (KE), Mass Density (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Kinetic Energy per unit Length of Wave Crest calculation can be explained with given input values -> 3.003135 = sqrt(147700/((1/16)*997*[g]*26.8)).

FAQ

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

The Wave Height given Kinetic Energy per unit Length of Wave Crest Formula is defined as the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. Kinetic energy per unit length of the wave crest is a measure of the energy contained within a wave per unit length along the crest of the wave and is represented as H = sqrt(KE/((1/16)*ρ*[g]*λ)) or Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength)). Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines, 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 Kinetic Energy per unit Length of Wave Crest?

The Wave Height given Kinetic Energy per unit Length of Wave Crest Formula is defined as the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. Kinetic energy per unit length of the wave crest is a measure of the energy contained within a wave per unit length along the crest of the wave is calculated using Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength)). To calculate Wave Height given Kinetic Energy per unit Length of Wave Crest, you need Kinetic Energy of Wave Crest (KE), Mass Density (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Kinetic Energy of Wave Crest, 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 Kinetic Energy of Wave Crest, Mass Density & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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