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Water Depth given Celerity of Solitary Wave Formula

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

GoWater Depth given Total Wave Energy per Unit Crest Width 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{C^{2}}{[g]}) - H w

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

Water Depth given Celerity of Solitary Wave Example

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

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

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

44.9806 = (\frac{{24.05}^{2}}{9.8066}) - 14

44.9806m = (\frac{{24.05m/s}^{2}}{9.8066m/s²}) - 14m

44.9806 = (\frac{{24.05}^{2}}{9.8066}) - 14

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Water Depth given Celerity of Solitary Wave Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D w = (\frac{{24.05m/s}^{2}}{[g]}) - 14m

Next Step Substitute values of Constants

∴

D w = (\frac{{24.05m/s}^{2}}{9.8066m/s²}) - 14m

Next Step Prepare to Evaluate

∴

D w = (\frac{{24.05}^{2}}{9.8066}) - 14

Next Step Evaluate

∴

D w = 44.9806406876966m

LAST Step Rounding Answer

∴

D w = 44.9806m

Water Depth given Celerity of Solitary Wave Formula Elements

Variables

Constants

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

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

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

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 Total Wave Energy per Unit Crest Width of Solitary Wave

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

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 Celerity of Solitary Wave?

Water Depth given Celerity of Solitary Wave evaluator uses Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave to evaluate the Water Depth from Bed, The Water Depth given Celerity of Solitary Wave is defined as the measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort. Water Depth from Bed is denoted by D_w symbol.

How to evaluate Water Depth given Celerity of Solitary Wave using this online evaluator? To use this online evaluator for Water Depth given Celerity of Solitary Wave, enter Celerity of the Wave (C) & Height of the Wave (H_w) and hit the calculate button.

FAQs on Water Depth given Celerity of Solitary Wave

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

The formula of Water Depth given Celerity of Solitary Wave is expressed as Water Depth from Bed = (Celerity of the Wave^2/[g])-Height of the Wave. Here is an example- 44.98064 = (24.05^2/[g])-14.

How to calculate Water Depth given Celerity of Solitary Wave?

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

Can the Water Depth given Celerity of Solitary Wave be negative?

No, the Water Depth given Celerity of Solitary Wave, measured in Length cannot be negative.

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

Water Depth 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 Water Depth given Celerity of Solitary Wave can be measured.

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