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Celerity of Deepwater Wave Formula

GoWave Celerity given Wavelength and Wave Period Formula

GoWave Celerity given Wavelength and Water Depth Formula

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Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth. Check FAQs

C o = \sqrt{\frac{[g] \cdot λ o}{2 \cdot π}}

C_o - Deepwater Wave Celerity?λ_o - DeepWater Wavelength?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Celerity of Deepwater Wave Example

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

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

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

4.5045 = \sqrt{\frac{9.8066 \cdot 13}{2 \cdot 3.1416}}

4.5045m/s = \sqrt{\frac{9.8066m/s² \cdot 13m}{2 \cdot 3.1416}}

4.5045 = \sqrt{\frac{9.8066 \cdot 13}{2 \cdot 3.1416}}

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Celerity of Deepwater Wave Solution

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

FIRST Step Consider the formula

C o = \sqrt{\frac{[g] \cdot λ o}{2 \cdot π}}

Next Step Substitute values of Variables

∴

C o = \sqrt{\frac{[g] \cdot 13m}{2 \cdot π}}

Next Step Substitute values of Constants

∴

C o = \sqrt{\frac{9.8066m/s² \cdot 13m}{2 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

C o = \sqrt{\frac{9.8066 \cdot 13}{2 \cdot 3.1416}}

Next Step Evaluate

∴

C o = 4.50445320707606m/s

LAST Step Rounding Answer

∴

C o = 4.5045m/s

Celerity of Deepwater Wave Formula Elements

Variables

Constants

Functions

Deepwater Wave Celerity

Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.

Symbol: C_o

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Deepwater Wave Celerity

DeepWater Wavelength

Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find DeepWater Wavelength

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Deepwater Wave Celerity

Go Wave Celerity given Wavelength and Wave Period

C o = \frac{λ o}{T}

Go Wave Celerity given Wavelength and Water Depth

C o = \sqrt{(\frac{λ o \cdot [g]}{2 \cdot π}) \cdot \tanh (\frac{2 \cdot π \cdot d}{λ o})}

Go Wave Celerity given Wave Period and Wavelength

C o = (\frac{[g] \cdot T}{2 \cdot π}) \cdot \tanh (\frac{2 \cdot π \cdot d}{λ o})

Go Deepwater Wave Celerity

C o = \frac{λ o}{T}

Other formulas in Wave Celerity category

Go Deepwater Celerity given Units of Feet and Seconds

C f = 5.12 \cdot T

Go Wave Celerity when Relative Water Depth becomes Shallow

C s = \sqrt{[g] \cdot d s}

Go Celerity of Wave given Deepwater Celerity and Wavelength

C s = \frac{C o \cdot λ s}{λ o}

Go Wave Period given Deepwater Celerity

T = \frac{λ o}{C o}

How to Evaluate Celerity of Deepwater Wave?

Celerity of Deepwater Wave evaluator uses Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)) to evaluate the Deepwater Wave Celerity, The Celerity of Deepwater Wave refers to the speed at which waves propagate through water depths greater than half their wavelength. Deepwater Wave Celerity is denoted by C_o symbol.

How to evaluate Celerity of Deepwater Wave using this online evaluator? To use this online evaluator for Celerity of Deepwater Wave, enter DeepWater Wavelength (λ_o) and hit the calculate button.

FAQs on Celerity of Deepwater Wave

What is the formula to find Celerity of Deepwater Wave?

The formula of Celerity of Deepwater Wave is expressed as Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)). Here is an example- 4.504453 = sqrt(([g]*13)/(2*pi)).

How to calculate Celerity of Deepwater Wave?

With DeepWater Wavelength (λ_o) we can find Celerity of Deepwater Wave using the formula - Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Deepwater Wave Celerity?

Here are the different ways to Calculate Deepwater Wave Celerity-

Deepwater Wave Celerity=DeepWater Wavelength/Wave Period
Deepwater Wave Celerity=sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))
Deepwater Wave Celerity=(([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)

Can the Celerity of Deepwater Wave be negative?

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

Which unit is used to measure Celerity of Deepwater Wave?

Celerity of Deepwater 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 Deepwater Wave can be measured.

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