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

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

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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. Check FAQs

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

H - Wave Height?PE - Potential Energy?ρ - Mass Density?λ - Wavelength?[g] - Gravitational acceleration on Earth?

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

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Here is how the Wave Height given Potential Energy per unit Length of Wave Crest equation looks like with Values.

Here is how the Wave Height given Potential Energy per unit Length of Wave Crest equation looks like with Units.

Here is how the Wave Height given Potential Energy per unit Length of Wave Crest equation looks like.

3 = \sqrt{\frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 26.8}}

3m = \sqrt{\frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot 26.8m}}

3 = \sqrt{\frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 26.8}}

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

Follow our step by step solution on how to calculate Wave Height given Potential Energy per unit Length of Wave Crest?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot [g] \cdot 26.8m}}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot 26.8m}}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 26.8}}

Next Step Evaluate

∴

H = 2.99999956235249m

LAST Step Rounding Answer

∴

H = 3m

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

Variables

Constants

Functions

Wave Height

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.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Potential Energy

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.

Symbol: PE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy

Mass Density

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.

Symbol: ρ

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density

Wavelength

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.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Wave Height

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

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

Other formulas in Energy per unit Length of Wave Crest category

Go Kinetic Energy per unit Length of Wave Crest

KE = (\frac{1}{16}) \cdot ρ \cdot [g] \cdot H^{2} \cdot λ

Go Wavelength for Kinetic Energy per unit Length of Wave Crest

λ = \frac{KE}{(\frac{1}{16}) \cdot ρ \cdot [g] \cdot H^{2}}

Go Potential Energy per unit Length of Wave Crest

PE = (\frac{1}{16}) \cdot ρ \cdot [g] \cdot H^{2} \cdot λ

Go Wavelength given Potential Energy per unit Length of Wave Crest

λ = \frac{PE}{(\frac{1}{16}) \cdot ρ \cdot [g] \cdot H^{2}}

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

Wave Height given Potential Energy per unit Length of Wave Crest evaluator uses Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)) to evaluate 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 evaluate Wave Height given Potential Energy per unit Length of Wave Crest using this online evaluator? To use this online evaluator 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.

FAQs on Wave Height given Potential Energy per unit Length of Wave Crest

What is the formula to find Wave Height given Potential Energy per unit Length of Wave Crest?

The formula of Wave Height given Potential Energy per unit Length of Wave Crest is expressed as Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). Here is an example- 0.015628 = sqrt(147391.7/((1/16)*997*[g]*26.8)).

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

With Potential Energy (PE), Mass Density (ρ) & Wavelength (λ) we can find Wave Height given Potential Energy per unit Length of Wave Crest using the formula - Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Wave Height?

Here are the different ways to Calculate Wave Height-

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

Can the Wave Height given Potential Energy per unit Length of Wave Crest be negative?

Yes, the Wave Height given Potential Energy per unit Length of Wave Crest, measured in Length can be negative.

Which unit is used to measure Wave Height given Potential Energy per unit Length of Wave Crest?

Wave Height given Potential Energy per unit Length of Wave Crest is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height given Potential Energy per unit Length of Wave Crest can be measured.

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