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Potential Energy due to Deformation of Free Surface Formula

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Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level. Check FAQs

E p = \frac{ρ \cdot [g] \cdot η^{2} \cdot λ}{2}

E_p - Potential Energy of Wave?ρ - Density of Fluid?η - Surface Elevation?λ - Wavelength?[g] - Gravitational acceleration on Earth?

Potential Energy due to Deformation of Free Surface Example

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Here is how the Potential Energy due to Deformation of Free Surface equation looks like with Values.

Here is how the Potential Energy due to Deformation of Free Surface equation looks like with Units.

Here is how the Potential Energy due to Deformation of Free Surface equation looks like.

324.3549 = \frac{1.225 \cdot 9.8066 \cdot 6^{2} \cdot 1.5}{2}

324.3549J = \frac{1.225kg/m³ \cdot 9.8066m/s² \cdot {6m}^{2} \cdot 1.5m}{2}

324.3549 = \frac{1.225 \cdot 9.8066 \cdot 6^{2} \cdot 1.5}{2}

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Potential Energy due to Deformation of Free Surface Solution

Follow our step by step solution on how to calculate Potential Energy due to Deformation of Free Surface?

FIRST Step Consider the formula

E p = \frac{ρ \cdot [g] \cdot η^{2} \cdot λ}{2}

Next Step Substitute values of Variables

∴

E p = \frac{1.225kg/m³ \cdot [g] \cdot {6m}^{2} \cdot 1.5m}{2}

Next Step Substitute values of Constants

∴

E p = \frac{1.225kg/m³ \cdot 9.8066m/s² \cdot {6m}^{2} \cdot 1.5m}{2}

Next Step Prepare to Evaluate

∴

E p = \frac{1.225 \cdot 9.8066 \cdot 6^{2} \cdot 1.5}{2}

Next Step Evaluate

∴

E p = 324.35494875J

LAST Step Rounding Answer

∴

E p = 324.3549J

Potential Energy due to Deformation of Free Surface Formula Elements

Variables

Constants

Potential Energy of Wave

Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level.

Symbol: E_p

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy of Wave

Density of Fluid

Density of Fluid is the mass of fluid per unit volume of the fluid.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Surface Elevation

Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.

Symbol: η

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Surface Elevation

Wavelength

Wavelength refers to the distance between successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: 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

Other formulas in Potential Energy category

Go Surface Elevation given Potential Energy due to Deformation of Free Surface

η = \sqrt{\frac{2 \cdot E p}{ρ \cdot [g] \cdot λ}}

Go Length given Potential Energy due to Deformation of Free Surface

λ = \frac{2 \cdot E p}{ρ \cdot [g] \cdot η^{2}}

Go Potential Energy per unit Width in One Wave

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

Go Wave Height given Potential Energy per Unit Width in One Wave

H = \sqrt{\frac{PE}{0.0625 \cdot ρ \cdot [g] \cdot λ}}

How to Evaluate Potential Energy due to Deformation of Free Surface?

Potential Energy due to Deformation of Free Surface evaluator uses Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2 to evaluate the Potential Energy of Wave, The Potential Energy due to Deformation of Free Surface formula is defined as the potential energy associated with the deformation of a free surface, such as an ocean wave, can be calculated using the principle of virtual work. When a wave crest is formed, it represents an increase in potential energy compared to the flat surface. This potential energy is a result of the work done to deform the surface and create the wave crest. Potential Energy of Wave is denoted by E_p symbol.

How to evaluate Potential Energy due to Deformation of Free Surface using this online evaluator? To use this online evaluator for Potential Energy due to Deformation of Free Surface, enter Density of Fluid (ρ), Surface Elevation (η) & Wavelength (λ) and hit the calculate button.

FAQs on Potential Energy due to Deformation of Free Surface

What is the formula to find Potential Energy due to Deformation of Free Surface?

The formula of Potential Energy due to Deformation of Free Surface is expressed as Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2. Here is an example- 5795.142 = (1.225*[g]*6^2*1.5)/2.

How to calculate Potential Energy due to Deformation of Free Surface?

With Density of Fluid (ρ), Surface Elevation (η) & Wavelength (λ) we can find Potential Energy due to Deformation of Free Surface using the formula - Potential Energy of Wave = (Density of Fluid*[g]*Surface Elevation^2*Wavelength)/2. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Potential Energy due to Deformation of Free Surface be negative?

No, the Potential Energy due to Deformation of Free Surface, measured in Energy cannot be negative.

Which unit is used to measure Potential Energy due to Deformation of Free Surface?

Potential Energy due to Deformation of Free Surface is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Potential Energy due to Deformation of Free Surface can be measured.

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Potential Energy due to Deformation of Free Surface Formula

Potential Energy due to Deformation of Free Surface Example

Potential Energy due to Deformation of Free Surface Solution

Potential Energy due to Deformation of Free Surface Formula Elements

Other formulas in Potential Energy category

How to Evaluate Potential Energy due to Deformation of Free Surface?

FAQs on Potential Energy due to Deformation of Free Surface

Variable Name