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Length given Potential Energy due to Deformation of Free Surface Formula

GoWavelength for Potential Energy per unit Width in One Wave Formula

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

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

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

Length given Potential Energy due to Deformation of Free Surface Example

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

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

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

1.5 = \frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 6^{2}}

1.5m = \frac{2 \cdot 324.35J}{1.225kg/m³ \cdot 9.8066m/s² \cdot {6m}^{2}}

1.5 = \frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 6^{2}}

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Length given Potential Energy due to Deformation of Free Surface Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{2 \cdot 324.35J}{1.225kg/m³ \cdot [g] \cdot {6m}^{2}}

Next Step Substitute values of Constants

∴

λ = \frac{2 \cdot 324.35J}{1.225kg/m³ \cdot 9.8066m/s² \cdot {6m}^{2}}

Next Step Prepare to Evaluate

∴

λ = \frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 6^{2}}

Next Step Evaluate

∴

λ = 1.49997711419225m

LAST Step Rounding Answer

∴

λ = 1.5m

Length given Potential Energy due to Deformation of Free Surface Formula Elements

Variables

Constants

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

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

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 to find Wavelength

Go Wavelength for Potential Energy per unit Width in One Wave

λ = \frac{PE}{0.0625 \cdot ρ \cdot [g] \cdot H^{2}}

Other formulas in Potential Energy category

Go Potential Energy due to Deformation of Free Surface

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

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 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 Length given Potential Energy due to Deformation of Free Surface?

Length given Potential Energy due to Deformation of Free Surface evaluator uses Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2) to evaluate the Wavelength, The Length given Potential Energy due to Deformation of Free Surface formula is defined as the dimension of harbour geometry relative to length. Wavelength is denoted by λ symbol.

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

FAQs on Length given Potential Energy due to Deformation of Free Surface

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

The formula of Length given Potential Energy due to Deformation of Free Surface is expressed as Wavelength = (2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2). Here is an example- 1.499977 = (2*324.35)/(1.225*[g]*6^2).

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

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

What are the other ways to Calculate Wavelength?

Here are the different ways to Calculate Wavelength-

Wavelength=Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)

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

Yes, the Length given Potential Energy due to Deformation of Free Surface, measured in Length can be negative.

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

Length given Potential Energy due to Deformation of Free Surface is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length given Potential Energy due to Deformation of Free Surface can be measured.

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Length given Potential Energy due to Deformation of Free Surface Formula

​GoWavelength for Potential Energy per unit Width in One Wave Formula

Length given Potential Energy due to Deformation of Free Surface Example

Length given Potential Energy due to Deformation of Free Surface Solution

Length given Potential Energy due to Deformation of Free Surface Formula Elements

Other Formulas to find Wavelength

Other formulas in Potential Energy category

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

FAQs on Length given Potential Energy due to Deformation of Free Surface

Variable Name

GoWavelength for Potential Energy per unit Width in One Wave Formula