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Wave Height given Total Wave Energy in one Wavelength per unit Crest Width 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{8 \cdot TE}{ρ \cdot [g] \cdot λ}}

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

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

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Here is how the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width equation looks like with Values.

Here is how the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width equation looks like with Units.

Here is how the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width equation looks like.

2.9991 = \sqrt{\frac{8 \cdot 20.26}{1.225 \cdot 9.8066 \cdot 1.5}}

2.9991m = \sqrt{\frac{8 \cdot 20.26J/m}{1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

2.9991 = \sqrt{\frac{8 \cdot 20.26}{1.225 \cdot 9.8066 \cdot 1.5}}

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

Follow our step by step solution on how to calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \sqrt{\frac{8 \cdot 20.26J/m}{1.225kg/m³ \cdot [g] \cdot 1.5m}}

Next Step Substitute values of Constants

∴

H = \sqrt{\frac{8 \cdot 20.26J/m}{1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

Next Step Prepare to Evaluate

∴

H = \sqrt{\frac{8 \cdot 20.26}{1.225 \cdot 9.8066 \cdot 1.5}}

Next Step Evaluate

∴

H = 2.99909831165368m

LAST Step Rounding Answer

∴

H = 2.9991m

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

Total Energy of Wave per Width

Total Energy of Wave per Width is the sum of its kinetic energy and its potential energy.

Symbol: TE

Measurement: Energy per Unit LengthUnit: J/m

Note: Value can be positive or negative.

Formulas to find Total Energy of Wave per 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 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 Wavelength for Total Wave Energy in Wavelength per unit Crest Width

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

How to Evaluate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width evaluator uses Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)) to evaluate the Wave Height, The Wave Height given Total Wave Energy in one Wavelength per unit Crest Width 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 Total Wave Energy in one Wavelength per unit Crest Width using this online evaluator? To use this online evaluator for Wave Height given Total Wave Energy in one Wavelength per unit Crest Width, enter Total Energy of Wave per Width (TE), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button.

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

What is the formula to find Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

The formula of Wave Height given Total Wave Energy in one Wavelength per unit Crest Width is expressed as Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)). Here is an example- 0.709527 = sqrt((8*20.26)/(1.225*[g]*1.5)).

How to calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

With Total Energy of Wave per Width (TE), Density of Fluid (ρ) & Wavelength (λ) we can find Wave Height given Total Wave Energy in one Wavelength per unit Crest Width using the formula - Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width be negative?

Yes, the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width, measured in Length can be negative.

Which unit is used to measure Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width 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 Total Wave Energy in one Wavelength per unit Crest Width can be measured.

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

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

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

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

Other formulas in Wave Energy category

How to Evaluate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

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

Variable Name