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Wavelength for Potential Energy per unit Width in One Wave Formula

GoLength given Potential Energy due to Deformation of Free Surface Formula

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

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

λ - Wavelength?PE - Potential Energy per Unit Width?ρ - Density of Fluid?H - Wave Height?[g] - Gravitational acceleration on Earth?

Wavelength for Potential Energy per unit Width in One Wave Example

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Here is how the Wavelength for Potential Energy per unit Width in One Wave equation looks like with Values.

Here is how the Wavelength for Potential Energy per unit Width in One Wave equation looks like with Units.

Here is how the Wavelength for Potential Energy per unit Width in One Wave equation looks like.

1.4991 = \frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

1.4991m = \frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

1.4991 = \frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

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Wavelength for Potential Energy per unit Width in One Wave Solution

Follow our step by step solution on how to calculate Wavelength for Potential Energy per unit Width in One Wave?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot [g] \cdot {3m}^{2}}

Next Step Substitute values of Constants

∴

λ = \frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

Next Step Prepare to Evaluate

∴

λ = \frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 3^{2}}

Next Step Evaluate

∴

λ = 1.49909844716066m

LAST Step Rounding Answer

∴

λ = 1.4991m

Wavelength for Potential Energy per unit Width in One Wave 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 per Unit Width

Potential Energy per Unit Width is the amount of potential energy stored per unit distance along the width of a body or structure.

Symbol: PE

Measurement: Energy per Unit LengthUnit: J/m

Note: Value should be greater than 0.

Formulas to find Potential Energy per Unit Width

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

Wave Height

Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

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 Length given Potential Energy due to Deformation of Free Surface

λ = \frac{2 \cdot E p}{ρ \cdot [g] \cdot η^{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 Wavelength for Potential Energy per unit Width in One Wave?

Wavelength for Potential Energy per unit Width in One Wave evaluator uses Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2) to evaluate the Wavelength, The Wavelength for Potential Energy per unit Width in One Wave formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

How to evaluate Wavelength for Potential Energy per unit Width in One Wave using this online evaluator? To use this online evaluator for Wavelength for Potential Energy per unit Width in One Wave, enter Potential Energy per Unit Width (PE), Density of Fluid (ρ) & Wave Height (H) and hit the calculate button.

FAQs on Wavelength for Potential Energy per unit Width in One Wave

What is the formula to find Wavelength for Potential Energy per unit Width in One Wave?

The formula of Wavelength for Potential Energy per unit Width in One Wave is expressed as Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). Here is an example- 1.499098 = 10.13/(0.0625*1.225*[g]*3^2).

How to calculate Wavelength for Potential Energy per unit Width in One Wave?

With Potential Energy per Unit Width (PE), Density of Fluid (ρ) & Wave Height (H) we can find Wavelength for Potential Energy per unit Width in One Wave using the formula - Wavelength = Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^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=(2*Potential Energy of Wave)/(Density of Fluid*[g]*Surface Elevation^2)

Can the Wavelength for Potential Energy per unit Width in One Wave be negative?

Yes, the Wavelength for Potential Energy per unit Width in One Wave, measured in Length can be negative.

Which unit is used to measure Wavelength for Potential Energy per unit Width in One Wave?

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

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