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Specific Energy or Energy Density given Wave Height Formula

GoSpecific Energy or Energy Density given Wavelength and Wave Energy Formula

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Energy Density of Wave is the amount of energy the wave carries per unit volume or unit area of the medium through which it propagates. Check FAQs

U = \frac{ρ \cdot [g] \cdot H^{2}}{8}

U - Energy Density of Wave?ρ - Density of Fluid?H - Wave Height?[g] - Gravitational acceleration on Earth?

Specific Energy or Energy Density given Wave Height Example

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Here is how the Specific Energy or Energy Density given Wave Height equation looks like with Values.

Here is how the Specific Energy or Energy Density given Wave Height equation looks like with Units.

Here is how the Specific Energy or Energy Density given Wave Height equation looks like.

13.5148 = \frac{1.225 \cdot 9.8066 \cdot 3^{2}}{8}

13.5148J/m³ = \frac{1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}{8}

13.5148 = \frac{1.225 \cdot 9.8066 \cdot 3^{2}}{8}

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Specific Energy or Energy Density given Wave Height Solution

Follow our step by step solution on how to calculate Specific Energy or Energy Density given Wave Height?

FIRST Step Consider the formula

U = \frac{ρ \cdot [g] \cdot H^{2}}{8}

Next Step Substitute values of Variables

∴

U = \frac{1.225kg/m³ \cdot [g] \cdot {3m}^{2}}{8}

Next Step Substitute values of Constants

∴

U = \frac{1.225kg/m³ \cdot 9.8066m/s² \cdot {3m}^{2}}{8}

Next Step Prepare to Evaluate

∴

U = \frac{1.225 \cdot 9.8066 \cdot 3^{2}}{8}

Next Step Evaluate

∴

U = 13.51478953125J/m³

LAST Step Rounding Answer

∴

U = 13.5148J/m³

Specific Energy or Energy Density given Wave Height Formula Elements

Variables

Constants

Energy Density of Wave

Energy Density of Wave is the amount of energy the wave carries per unit volume or unit area of the medium through which it propagates.

Symbol: U

Measurement: Energy DensityUnit: J/m³

Note: Value should be greater than 0.

Formulas to find Energy Density 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

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 Energy Density of Wave

Go Specific Energy or Energy Density given Wavelength and Wave Energy

U = \frac{TE}{λ}

Other formulas in Wave Energy category

Go Total Wave Energy in one Wavelength per unit Crest Width

TE = \frac{ρ \cdot [g] \cdot H^{2} \cdot λ}{8}

Go Total Wave Energy given Kinetic Energy and Potential Energy

TE = KE + PE

Go Potential Energy given Total Wave Energy

PE = TE - KE

Go Wave Height given Total Wave Energy in one Wavelength per unit Crest Width

H = \sqrt{\frac{8 \cdot TE}{ρ \cdot [g] \cdot λ}}

How to Evaluate Specific Energy or Energy Density given Wave Height?

Specific Energy or Energy Density given Wave Height evaluator uses Energy Density of Wave = (Density of Fluid*[g]*Wave Height^2)/8 to evaluate the Energy Density of Wave, The Specific Energy or Energy Density given Wave Height formula is defined as the total average wave energy per unit surface area. Energy Density of Wave is denoted by U symbol.

How to evaluate Specific Energy or Energy Density given Wave Height using this online evaluator? To use this online evaluator for Specific Energy or Energy Density given Wave Height, enter Density of Fluid (ρ) & Wave Height (H) and hit the calculate button.

FAQs on Specific Energy or Energy Density given Wave Height

What is the formula to find Specific Energy or Energy Density given Wave Height?

The formula of Specific Energy or Energy Density given Wave Height is expressed as Energy Density of Wave = (Density of Fluid*[g]*Wave Height^2)/8. Here is an example- 13.51479 = (1.225*[g]*3^2)/8.

How to calculate Specific Energy or Energy Density given Wave Height?

With Density of Fluid (ρ) & Wave Height (H) we can find Specific Energy or Energy Density given Wave Height using the formula - Energy Density of Wave = (Density of Fluid*[g]*Wave Height^2)/8. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Energy Density of Wave?

Here are the different ways to Calculate Energy Density of Wave-

Energy Density of Wave=Total Energy of Wave per Width/Wavelength

Can the Specific Energy or Energy Density given Wave Height be negative?

No, the Specific Energy or Energy Density given Wave Height, measured in Energy Density cannot be negative.

Which unit is used to measure Specific Energy or Energy Density given Wave Height?

Specific Energy or Energy Density given Wave Height is usually measured using the Joule per Cubic Meter[J/m³] for Energy Density. Kilojoule per Cubic Meter[J/m³], Megajoule per Cubic Meter[J/m³] are the few other units in which Specific Energy or Energy Density given Wave Height can be measured.

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