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Wave Height given Celerity of Solitary Wave Formula

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

GoWave Height given Volume of Water within Wave above Still Water Level 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{C^{2}}{[g]}) - D w

H_w - Height of the Wave?C - Celerity of the Wave?D_w - Water Depth from Bed?[g] - Gravitational acceleration on Earth?

Wave Height given Celerity of Solitary Wave Example

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Here is how the Wave Height given Celerity of Solitary Wave equation looks like with Values.

Here is how the Wave Height given Celerity of Solitary Wave equation looks like with Units.

Here is how the Wave Height given Celerity of Solitary Wave equation looks like.

13.9806 = (\frac{{24.05}^{2}}{9.8066}) - 45

13.9806m = (\frac{{24.05m/s}^{2}}{9.8066m/s²}) - 45m

13.9806 = (\frac{{24.05}^{2}}{9.8066}) - 45

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Wave Height given Celerity of Solitary Wave Solution

Follow our step by step solution on how to calculate Wave Height given Celerity of Solitary Wave?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H w = (\frac{{24.05m/s}^{2}}{[g]}) - 45m

Next Step Substitute values of Constants

∴

H w = (\frac{{24.05m/s}^{2}}{9.8066m/s²}) - 45m

Next Step Prepare to Evaluate

∴

H w = (\frac{{24.05}^{2}}{9.8066}) - 45

Next Step Evaluate

∴

H w = 13.9806406876966m

LAST Step Rounding Answer

∴

H w = 13.9806m

Wave Height given Celerity of Solitary Wave Formula Elements

Variables

Constants

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

Celerity of the Wave

Celerity of the Wave refers to the speed at which a wave propagates through a medium.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity 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

Other Formulas to find Height of the Wave

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 given Volume of Water within Wave above Still Water Level

H w = \frac{V^{2}}{(\frac{16}{3}) \cdot {D w}^{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 Celerity of Solitary Wave?

Wave Height given Celerity of Solitary Wave evaluator uses Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed to evaluate the Height of the Wave, The Wave Height given Celerity of Solitary Wave 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 Celerity of Solitary Wave using this online evaluator? To use this online evaluator for Wave Height given Celerity of Solitary Wave, enter Celerity of the Wave (C) & Water Depth from Bed (D_w) and hit the calculate button.

FAQs on Wave Height given Celerity of Solitary Wave

What is the formula to find Wave Height given Celerity of Solitary Wave?

The formula of Wave Height given Celerity of Solitary Wave is expressed as Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed. Here is an example- 13.98064 = (24.05^2/[g])-45.

How to calculate Wave Height given Celerity of Solitary Wave?

With Celerity of the Wave (C) & Water Depth from Bed (D_w) we can find Wave Height given Celerity of Solitary Wave using the formula - Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed. This formula also uses Gravitational acceleration on Earth constant(s).

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=(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=Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^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 Celerity of Solitary Wave be negative?

Yes, the Wave Height given Celerity of Solitary Wave, measured in Length can be negative.

Which unit is used to measure Wave Height given Celerity of Solitary Wave?

Wave Height given Celerity 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 Wave Height given Celerity of Solitary Wave can be measured.

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