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Total Wave Energy per Unit Crest Width of Solitary Wave Formula

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Total Wave Energy per Unit Crest Width refers to the amount of energy carried by ocean waves along a unit length of the wave crest. Check FAQs

E = (\frac{8}{3 \cdot \sqrt{3}}) \cdot ρ s \cdot [g] \cdot {H w}^{\frac{3}{2}} \cdot {D w}^{\frac{3}{2}}

E - Total Wave Energy per Unit Crest Width?ρ_s - Density of Salt Water?H_w - Height of the Wave?D_w - Water Depth from Bed?[g] - Gravitational acceleration on Earth?

Total Wave Energy per Unit Crest Width of Solitary Wave Example

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Here is how the Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like with Values.

Here is how the Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like with Units.

Here is how the Total Wave Energy per Unit Crest Width of Solitary Wave equation looks like.

2.4E+8 = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 14^{\frac{3}{2}} \cdot 45^{\frac{3}{2}}

2.4E+8J/m = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot 9.8066m/s² \cdot {14m}^{\frac{3}{2}} \cdot {45m}^{\frac{3}{2}}

2.4E+8 = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 14^{\frac{3}{2}} \cdot 45^{\frac{3}{2}}

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Total Wave Energy per Unit Crest Width of Solitary Wave Solution

Follow our step by step solution on how to calculate Total Wave Energy per Unit Crest Width of Solitary Wave?

FIRST Step Consider the formula

E = (\frac{8}{3 \cdot \sqrt{3}}) \cdot ρ s \cdot [g] \cdot {H w}^{\frac{3}{2}} \cdot {D w}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

E = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot [g] \cdot {14m}^{\frac{3}{2}} \cdot {45m}^{\frac{3}{2}}

Next Step Substitute values of Constants

∴

E = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot 9.8066m/s² \cdot {14m}^{\frac{3}{2}} \cdot {45m}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

E = (\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 14^{\frac{3}{2}} \cdot 45^{\frac{3}{2}}

Next Step Evaluate

∴

E = 244716622.520528J/m

LAST Step Rounding Answer

∴

E = 2.4E+8J/m

Total Wave Energy per Unit Crest Width of Solitary Wave Formula Elements

Variables

Constants

Functions

Total Wave Energy per Unit Crest Width

Total Wave Energy per Unit Crest Width refers to the amount of energy carried by ocean waves along a unit length of the wave crest.

Symbol: E

Measurement: Energy per Unit LengthUnit: J/m

Note: Value can be positive or negative.

Formulas to find Total Wave Energy per Unit Crest Width

Density of Salt Water

The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.

Symbol: ρ_s

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Salt Water

Height of the Wave

Height of the Wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of the Wave

Water Depth from Bed

Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth from Bed

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 Solitary Wave category

Go Volume of Water above Still Water Level per Unit Crest Width

V = {((\frac{16}{3}) \cdot {D w}^{3} \cdot H w)}^{0.5}

Go Water Depth given Volume of Water within Wave above Still Water Level

D w = {(\frac{{(V)}^{2}}{(\frac{16}{3}) \cdot H w})}^{\frac{1}{3}}

Go Water Surface above Bottom

y s' = D w + H w \cdot {(sech (\sqrt{(\frac{3}{4}) \cdot (\frac{H w}{{D w}^{3}})} \cdot (x - (C \cdot t))))}^{2}

Go Wave Height given Celerity of Solitary Wave

H w = (\frac{C^{2}}{[g]}) - D w

How to Evaluate Total Wave Energy per Unit Crest Width of Solitary Wave?

Total Wave Energy per Unit Crest Width of Solitary Wave evaluator uses Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)*Water Depth from Bed^(3/2) to evaluate the Total Wave Energy per Unit Crest Width, The Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the amount of energy carried by ocean waves along a unit length of the wave crest. It is a measure of the energy available in waves that can impact coastal structures, shorelines, and marine operations. Total Wave Energy per Unit Crest Width is denoted by E symbol.

How to evaluate Total Wave Energy per Unit Crest Width of Solitary Wave using this online evaluator? To use this online evaluator for Total Wave Energy per Unit Crest Width of Solitary Wave, enter Density of Salt Water (ρ_s), Height of the Wave (H_w) & Water Depth from Bed (D_w) and hit the calculate button.

FAQs on Total Wave Energy per Unit Crest Width of Solitary Wave

What is the formula to find Total Wave Energy per Unit Crest Width of Solitary Wave?

The formula of Total Wave Energy per Unit Crest Width of Solitary Wave is expressed as Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)*Water Depth from Bed^(3/2). Here is an example- 2.4E+8 = (8/(3*sqrt(3)))*1025*[g]*14^(3/2)*45^(3/2).

How to calculate Total Wave Energy per Unit Crest Width of Solitary Wave?

With Density of Salt Water (ρ_s), Height of the Wave (H_w) & Water Depth from Bed (D_w) we can find Total Wave Energy per Unit Crest Width of Solitary Wave using the formula - Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)*Water Depth from Bed^(3/2). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Total Wave Energy per Unit Crest Width of Solitary Wave be negative?

Yes, the Total Wave Energy per Unit Crest Width of Solitary Wave, measured in Energy per Unit Length can be negative.

Which unit is used to measure Total Wave Energy per Unit Crest Width of Solitary Wave?

Total Wave Energy per Unit Crest Width of Solitary Wave is usually measured using the Joule per Meter[J/m] for Energy per Unit Length. Joule per Millimeter[J/m], Joule per Centimeter[J/m], Joule per Micrometer[J/m] are the few other units in which Total Wave Energy per Unit Crest Width of Solitary Wave can be measured.

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