Potential Energy per unit Length of Wave Crest Formula

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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. Check FAQs
PE=(116)ρ[g]H2λ
PE - Potential Energy?ρ - Mass Density?H - Wave Height?λ - Wavelength?[g] - Gravitational acceleration on Earth?

Potential Energy per unit Length of Wave Crest Example

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

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

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

147391.743Edit=(116)997Edit9.80663Edit226.8Edit
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Potential Energy per unit Length of Wave Crest Solution

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

FIRST Step Consider the formula
PE=(116)ρ[g]H2λ
Next Step Substitute values of Variables
PE=(116)997kg/m³[g]3m226.8m
Next Step Substitute values of Constants
PE=(116)997kg/m³9.8066m/s²3m226.8m
Next Step Prepare to Evaluate
PE=(116)9979.80663226.8
Next Step Evaluate
PE=147391.74300375J
LAST Step Rounding Answer
PE=147391.743J

Potential Energy per unit Length of Wave Crest Formula Elements

Variables
Constants
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.
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.
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.
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.
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

Other formulas in Energy per unit Length of Wave Crest category

​Go Kinetic Energy per unit Length of Wave Crest
KE=(116)ρ[g]H2λ
​Go Wave Height given Kinetic Energy per unit Length of Wave Crest
H=KE(116)ρ[g]λ
​Go Wavelength for Kinetic Energy per unit Length of Wave Crest
λ=KE(116)ρ[g]H2
​Go Wavelength given Potential Energy per unit Length of Wave Crest
λ=PE(116)ρ[g]H2

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

Potential Energy per unit Length of Wave Crest evaluator uses Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength to evaluate the Potential Energy, The Potential Energy per unit Length of Wave Crest Formula is defined as the potential energy stored in a wave due to the elevation of the water surface above the mean sea level. It is a measure of the energy available in the wave that can be utilized for various coastal and ocean engineering applications, such as wave power generation and coastal protection. Potential Energy is denoted by PE symbol.

How to evaluate Potential Energy per unit Length of Wave Crest using this online evaluator? To use this online evaluator for Potential Energy per unit Length of Wave Crest, enter Mass Density (ρ), Wave Height (H) & Wavelength (λ) and hit the calculate button.

FAQs on Potential Energy per unit Length of Wave Crest

What is the formula to find Potential Energy per unit Length of Wave Crest?
The formula of Potential Energy per unit Length of Wave Crest is expressed as Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. Here is an example- 147391.7 = (1/16)*997*[g]*3^2*26.8.
How to calculate Potential Energy per unit Length of Wave Crest?
With Mass Density (ρ), Wave Height (H) & Wavelength (λ) we can find Potential Energy per unit Length of Wave Crest using the formula - Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. This formula also uses Gravitational acceleration on Earth constant(s).
Can the Potential Energy per unit Length of Wave Crest be negative?
No, the Potential Energy per unit Length of Wave Crest, measured in Energy cannot be negative.
Which unit is used to measure Potential Energy per unit Length of Wave Crest?
Potential Energy per unit Length of Wave Crest is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Potential Energy per unit Length of Wave Crest can be measured.
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