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Wave Height given Potential Energy per Unit Width in One Wave Formula

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

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

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

Wave Height given Potential Energy per Unit Width in One Wave Example

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Here is how the Wave Height given Potential Energy per Unit Width in One Wave equation looks like with Values.

Here is how the Wave Height given Potential Energy per Unit Width in One Wave equation looks like with Units.

Here is how the Wave Height given Potential Energy per Unit Width in One Wave equation looks like.

2.9991 = \sqrt{\frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

2.9991m = \sqrt{\frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

2.9991 = \sqrt{\frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

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Wave Height given Potential Energy per Unit Width in One Wave Solution

Follow our step by step solution on how to calculate Wave Height given Potential Energy per Unit Width in One Wave?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot [g] \cdot 1.5m}}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{10.13J/m}{0.0625 \cdot 1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{10.13}{0.0625 \cdot 1.225 \cdot 9.8066 \cdot 1.5}}

Next Step Evaluate

∴

H = 2.99909831165368m

LAST Step Rounding Answer

∴

H = 2.9991m

Wave Height given Potential Energy per Unit Width in One Wave Formula Elements

Variables

Constants

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Length given Potential Energy due to Deformation of Free Surface

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

Go Potential Energy per unit Width in One Wave

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

How to Evaluate Wave Height given Potential Energy per Unit Width in One Wave?

Wave Height given Potential Energy per Unit Width in One Wave evaluator uses Wave Height = sqrt(Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)) to evaluate the Wave Height, The Wave Height given Potential Energy per Unit Width in One Wave formula is defined as the difference between elevations of a crest and neighbouring trough. Wave Height is denoted by H symbol.

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

FAQs on Wave Height given Potential Energy per Unit Width in One Wave

What is the formula to find Wave Height given Potential Energy per Unit Width in One Wave?

The formula of Wave Height given Potential Energy per Unit Width in One Wave is expressed as Wave Height = sqrt(Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). Here is an example- 0.709527 = sqrt(10.13/(0.0625*1.225*[g]*1.5)).

How to calculate Wave Height given Potential Energy per Unit Width in One Wave?

With Potential Energy per Unit Width (PE), Density of Fluid (ρ) & Wavelength (λ) we can find Wave Height given Potential Energy per Unit Width in One Wave using the formula - Wave Height = sqrt(Potential Energy per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

Can the Wave Height given Potential Energy per Unit Width in One Wave be negative?

Yes, the Wave Height given Potential Energy per Unit Width in One Wave, measured in Length can be negative.

Which unit is used to measure Wave Height given Potential Energy per Unit Width in One Wave?

Wave Height given 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 Wave Height given Potential Energy per Unit Width in One Wave can be measured.

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