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Wave Height given Volume of Water within Wave above Still Water Level Formula

GoWave Height given Celerity of Solitary Wave Formula

GoWave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula

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

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

H_w - Height of the Wave?V - Volume of Water per Unit Crest Width?D_w - Water Depth from Bed?

Wave Height given Volume of Water within Wave above Still Water Level Example

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Here is how the Wave Height given Volume of Water within Wave above Still Water Level equation looks like with Values.

Here is how the Wave Height given Volume of Water within Wave above Still Water Level equation looks like with Units.

Here is how the Wave Height given Volume of Water within Wave above Still Water Level equation looks like.

14 = \frac{{2608.448}^{2}}{(\frac{16}{3}) \cdot 45^{3}}

14m = \frac{{2608.448m²}^{2}}{(\frac{16}{3}) \cdot {45m}^{3}}

14 = \frac{{2608.448}^{2}}{(\frac{16}{3}) \cdot 45^{3}}

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Wave Height given Volume of Water within Wave above Still Water Level Solution

Follow our step by step solution on how to calculate Wave Height given Volume of Water within Wave above Still Water Level?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H w = \frac{{2608.448m²}^{2}}{(\frac{16}{3}) \cdot {45m}^{3}}

Next Step Prepare to Evaluate

∴

H w = \frac{{2608.448}^{2}}{(\frac{16}{3}) \cdot 45^{3}}

Next Step Evaluate

∴

H w = 14.0000019932181m

LAST Step Rounding Answer

∴

H w = 14m

Wave Height given Volume of Water within Wave above Still Water Level Formula Elements

Variables

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

Volume of Water per Unit Crest Width

Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width.

Symbol: V

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Volume of Water per Unit Crest Width

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

Other Formulas to find Height of the Wave

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}}

Go Wave Height of Unbroken Wave in Water of Finite Depth

H w = D w \cdot (\frac{(0.141063 \cdot (\frac{L}{D w})) + (0.0095721 \cdot {(\frac{L}{D w})}^{2}) + (0.0077829 \cdot {(\frac{L}{D w})}^{3})}{1 + (0.078834 \cdot (\frac{L}{D w})) + (0.0317567 \cdot {(\frac{L}{D w})}^{2}) + (0.0093407 \cdot {(\frac{L}{D w})}^{3})}) \cdot a s

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 Water Depth given Celerity of Solitary Wave

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

How to Evaluate Wave Height given Volume of Water within Wave above Still Water Level?

Wave Height given Volume of Water within Wave above Still Water Level evaluator uses Height of the Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3) to evaluate the Height of the Wave, The Wave Height given Volume of Water within Wave above Still Water Level is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of the Wave is denoted by H_w symbol.

How to evaluate Wave Height given Volume of Water within Wave above Still Water Level using this online evaluator? To use this online evaluator for Wave Height given Volume of Water within Wave above Still Water Level, enter Volume of Water per Unit Crest Width (V) & Water Depth from Bed (D_w) and hit the calculate button.

FAQs on Wave Height given Volume of Water within Wave above Still Water Level

What is the formula to find Wave Height given Volume of Water within Wave above Still Water Level?

The formula of Wave Height given Volume of Water within Wave above Still Water Level is expressed as Height of the Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3). Here is an example- 14 = 2608.448^2/((16/3)*45^3).

How to calculate Wave Height given Volume of Water within Wave above Still Water Level?

With Volume of Water per Unit Crest Width (V) & Water Depth from Bed (D_w) we can find Wave Height given Volume of Water within Wave above Still Water Level using the formula - Height of the Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3).

What are the other ways to Calculate Height of the Wave?

Here are the different ways to Calculate Height of the Wave-

Height of the Wave=(Celerity of the Wave^2/[g])-Water Depth from Bed
Height of the Wave=(Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3)
Height of the Wave=Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude

Can the Wave Height given Volume of Water within Wave above Still Water Level be negative?

Yes, the Wave Height given Volume of Water within Wave above Still Water Level, measured in Length can be negative.

Which unit is used to measure Wave Height given Volume of Water within Wave above Still Water Level?

Wave Height given Volume of Water within Wave above Still Water Level 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 Volume of Water within Wave above Still Water Level can be measured.

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