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Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave Formula

GoWater Depth given Volume of Water within Wave above Still Water Level Formula

GoWater Depth given Celerity of Solitary Wave Formula

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

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

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

Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave Example

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

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

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

44.4199 = {(\frac{2.4E+8}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 14^{\frac{3}{2}}})}^{\frac{2}{3}}

44.4199m = {(\frac{2.4E+8J/m}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot 9.8066m/s² \cdot {14m}^{\frac{3}{2}}})}^{\frac{2}{3}}

44.4199 = {(\frac{2.4E+8}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025 \cdot 9.8066 \cdot 14^{\frac{3}{2}}})}^{\frac{2}{3}}

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Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D w = {(\frac{2.4E+8J/m}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot 1025kg/m³ \cdot [g] \cdot {14m}^{\frac{3}{2}}})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

D w = 44.4199121063565m

LAST Step Rounding Answer

∴

D w = 44.4199m

Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave Formula Elements

Variables

Constants

Functions

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

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

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 to find Water Depth from Bed

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 Depth given Celerity of Solitary Wave

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

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 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

Go Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

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

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

Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave evaluator uses Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)))^(2/3) to evaluate the Water Depth from Bed, The Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the relationship between water depth and solitary wave energy is essential for coastal engineers, oceanographers, and other professionals involved in coastal management, offshore structure design, and wave forecasting. Water Depth from Bed is denoted by D_w symbol.

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

FAQs on Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave

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

The formula of Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave is expressed as Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of the Wave^(3/2)))^(2/3). Here is an example- 44.41991 = (240000000/((8/(3*sqrt(3)))*1025*[g]*14^(3/2)))^(2/3).

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

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

What are the other ways to Calculate Water Depth from Bed?

Here are the different ways to Calculate Water Depth from Bed-

Water Depth from Bed=((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)
Water Depth from Bed=(Celerity of the Wave^2/[g])-Height of the Wave

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

No, the Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave, measured in Length cannot be negative.

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

Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth given Total Wave Energy per Unit Crest Width of Solitary Wave can be measured.

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