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Celerity of Solitary Wave Formula

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

C = \sqrt{[g] \cdot (H w + D w)}

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

Celerity of Solitary Wave Example

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

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

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

24.0539 = \sqrt{9.8066 \cdot (14 + 45)}

24.0539m/s = \sqrt{9.8066m/s² \cdot (14m + 45m)}

24.0539 = \sqrt{9.8066 \cdot (14 + 45)}

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Celerity of Solitary Wave Solution

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

FIRST Step Consider the formula

C = \sqrt{[g] \cdot (H w + D w)}

Next Step Substitute values of Variables

∴

C = \sqrt{[g] \cdot (14m + 45m)}

Next Step Substitute values of Constants

∴

C = \sqrt{9.8066m/s² \cdot (14m + 45m)}

Next Step Prepare to Evaluate

∴

C = \sqrt{9.8066 \cdot (14 + 45)}

Next Step Evaluate

∴

C = 24.0539466616188m/s

LAST Step Rounding Answer

∴

C = 24.0539m/s

Celerity of Solitary Wave Formula Elements

Variables

Constants

Functions

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

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 Celerity of Solitary Wave?

Celerity of Solitary Wave evaluator uses Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)) to evaluate the Celerity of the Wave, The Celerity of Solitary Wave is defined as the speed at which an individual wave advances or “propagates” . For a deepwater wave the celerity is directly proportional to the wave period. Celerity of the Wave is denoted by C symbol.

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

FAQs on Celerity of Solitary Wave

What is the formula to find Celerity of Solitary Wave?

The formula of Celerity of Solitary Wave is expressed as Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)). Here is an example- 24.05395 = sqrt([g]*(14+45)).

How to calculate Celerity of Solitary Wave?

With Height of the Wave (H_w) & Water Depth from Bed (D_w) we can find Celerity of Solitary Wave using the formula - Celerity of the Wave = sqrt([g]*(Height of the Wave+Water Depth from Bed)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Celerity of Solitary Wave be negative?

No, the Celerity of Solitary Wave, measured in Speed cannot be negative.

Which unit is used to measure Celerity of Solitary Wave?

Celerity of Solitary Wave is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Celerity of Solitary Wave can be measured.

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