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Kinetic Energy per unit Length of Wave Crest Formula

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Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines. Check FAQs

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

KE - Kinetic Energy of Wave Crest?ρ - Mass Density?H - Wave Height?λ - Wavelength?[g] - Gravitational acceleration on Earth?

Kinetic Energy per unit Length of Wave Crest Example

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

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

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

147.3917 = (\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 3^{2} \cdot 26.8

147.3917KJ = (\frac{1}{16}) \cdot 997kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2} \cdot 26.8m

147.3917 = (\frac{1}{16}) \cdot 997 \cdot 9.8066 \cdot 3^{2} \cdot 26.8

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Kinetic Energy per unit Length of Wave Crest Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

KE = (\frac{1}{16}) \cdot 997kg/m³ \cdot [g] \cdot {3m}^{2} \cdot 26.8m

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

KE = 147391.74300375J

Next Step Convert to Output's Unit

∴

KE = 147.39174300375KJ

LAST Step Rounding Answer

∴

KE = 147.3917KJ

Kinetic Energy per unit Length of Wave Crest Formula Elements

Variables

Constants

Kinetic Energy of Wave Crest

Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines.

Symbol: KE

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Kinetic Energy of Wave Crest

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

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

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 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 Wavelength for Kinetic Energy per unit Length of Wave Crest

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

Go Potential Energy per unit Length of Wave Crest

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

Go Wavelength given Potential Energy per unit Length of Wave Crest

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

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

Kinetic Energy per unit Length of Wave Crest evaluator uses Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength to evaluate the Kinetic Energy of Wave Crest, The Kinetic Energy per unit Length of Wave Crest Formula is defined as the amount of kinetic energy associated with a unit length of a wave front, perpendicular to the direction of wave propagation. In coastal and ocean engineering, this metric is crucial for understanding the energy dynamics of ocean waves, particularly when assessing the impact of waves on coastal structures and subsurface environments. Kinetic Energy of Wave Crest is denoted by KE symbol.

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

FAQs on Kinetic Energy per unit Length of Wave Crest

What is the formula to find Kinetic Energy per unit Length of Wave Crest?

The formula of Kinetic Energy per unit Length of Wave Crest is expressed as Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. Here is an example- 0.147392 = (1/16)*997*[g]*3^2*26.8.

How to calculate Kinetic Energy per unit Length of Wave Crest?

With Mass Density (ρ), Wave Height (H) & Wavelength (λ) we can find Kinetic Energy per unit Length of Wave Crest using the formula - Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Kinetic Energy per unit Length of Wave Crest be negative?

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

Which unit is used to measure Kinetic Energy per unit Length of Wave Crest?

Kinetic Energy per unit Length of Wave Crest is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Kinetic Energy per unit Length of Wave Crest can be measured.

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Kinetic Energy per unit Length of Wave Crest Formula

Kinetic Energy per unit Length of Wave Crest Example

Kinetic Energy per unit Length of Wave Crest Solution

Kinetic Energy per unit Length of Wave Crest Formula Elements

Other formulas in Energy per unit Length of Wave Crest category

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

FAQs on Kinetic Energy per unit Length of Wave Crest

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