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Wavelength given Potential Energy per unit Length of Wave Crest Formula

GoWavelength for Kinetic Energy per unit Length of Wave Crest Formula

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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. Check FAQs

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

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

Wavelength given Potential Energy per unit Length of Wave Crest Example

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

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

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

26.8 = \frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 3^{2}}

26.8m = \frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

26.8 = \frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 3^{2}}

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Wavelength given Potential Energy per unit Length of Wave Crest Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot [g] \cdot {3m}^{2}}

Next Step Substitute values of Constants

∴

λ = \frac{147391.7J}{(\frac{1}{16}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}

Next Step Prepare to Evaluate

∴

λ = \frac{147391.7}{(\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 3^{2}}

Next Step Evaluate

∴

λ = 26.7999921806983m

LAST Step Rounding Answer

∴

λ = 26.8m

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

Variables

Constants

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

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

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

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 Kinetic Energy per unit Length of Wave Crest

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

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 Wave Height given Kinetic Energy per unit Length of Wave Crest

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

Go Potential Energy per unit Length of Wave Crest

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

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

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

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

Wavelength given Potential Energy per unit Length of Wave Crest evaluator uses Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2) to evaluate the Wavelength, The Wavelength given Potential Energy per unit Length of Wave Crest Formula is defined as he distance between successive crests of a wave. It is a critical parameter in the study of wave dynamics and their interaction with coastal structures and also crucial for designing coastal structures (like breakwaters, seawalls, and piers) to withstand wave forces. The longer the wavelength and the higher the wave energy, the greater the force exerted on these structures. Wavelength is denoted by λ symbol.

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

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

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

The formula of Wavelength given Potential Energy per unit Length of Wave Crest is expressed as Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2). Here is an example- 0.000727 = 147391.7/((1/16)*997*[g]*3^2).

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

With Potential Energy (PE), Mass Density (ρ) & Wave Height (H) we can find Wavelength given Potential Energy per unit Length of Wave Crest using the formula - Wavelength = Potential Energy/((1/16)*Mass Density*[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=Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)

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

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

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

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

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