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Wave Celerity given Wavelength and Water Depth Formula

GoWave Celerity given Wavelength and Wave Period Formula

GoWave Celerity given Wave Period and Wavelength 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{λ o \cdot [g]}{2 \cdot π}) \cdot \tanh (\frac{2 \cdot π \cdot d}{λ o})}

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

Wave Celerity given Wavelength and Water Depth Example

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Here is how the Wave Celerity given Wavelength and Water Depth equation looks like with Values.

Here is how the Wave Celerity given Wavelength and Water Depth equation looks like with Units.

Here is how the Wave Celerity given Wavelength and Water Depth equation looks like.

4.4612 = \sqrt{(\frac{13 \cdot 9.8066}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})}

4.4612m/s = \sqrt{(\frac{13m \cdot 9.8066m/s²}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8m}{13m})}

4.4612 = \sqrt{(\frac{13 \cdot 9.8066}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})}

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Wave Celerity given Wavelength and Water Depth Solution

Follow our step by step solution on how to calculate Wave Celerity given Wavelength and Water Depth?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C o = \sqrt{(\frac{13m \cdot [g]}{2 \cdot π}) \cdot \tanh (\frac{2 \cdot π \cdot 4.8m}{13m})}

Next Step Substitute values of Constants

∴

C o = \sqrt{(\frac{13m \cdot 9.8066m/s²}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8m}{13m})}

Next Step Prepare to Evaluate

∴

C o = \sqrt{(\frac{13 \cdot 9.8066}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})}

Next Step Evaluate

∴

C o = 4.46115390318095m/s

LAST Step Rounding Answer

∴

C o = 4.4612m/s

Wave Celerity given Wavelength and Water Depth 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

Water Depth

Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

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)

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(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 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}

Go Celerity of Deepwater Wave

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

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 Wave Celerity given Wavelength and Water Depth?

Wave Celerity given Wavelength and Water Depth evaluator uses Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)) to evaluate the Deepwater Wave Celerity, The Wave Celerity given Wavelength and Water Depth formula is defined as the speed at which the wave travels through water depths greater than half its wavelength and can be calculated based on the wavelength and water depth of the wave. Deepwater Wave Celerity is denoted by C_o symbol.

How to evaluate Wave Celerity given Wavelength and Water Depth using this online evaluator? To use this online evaluator for Wave Celerity given Wavelength and Water Depth, enter DeepWater Wavelength (λ_o) & Water Depth (d) and hit the calculate button.

FAQs on Wave Celerity given Wavelength and Water Depth

What is the formula to find Wave Celerity given Wavelength and Water Depth?

The formula of Wave Celerity given Wavelength and Water Depth is expressed as Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)). Here is an example- 3.081473 = sqrt(((13*[g])/(2*pi))*tanh((2*pi*4.8)/13)).

How to calculate Wave Celerity given Wavelength and Water Depth?

With DeepWater Wavelength (λ_o) & Water Depth (d) we can find Wave Celerity given Wavelength and Water Depth using the formula - Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Square Root (sqrt), Hyperbolic Tangent (tanh) 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=(([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)
Deepwater Wave Celerity=DeepWater Wavelength/Wave Period

Can the Wave Celerity given Wavelength and Water Depth be negative?

No, the Wave Celerity given Wavelength and Water Depth, measured in Speed cannot be negative.

Which unit is used to measure Wave Celerity given Wavelength and Water Depth?

Wave Celerity given Wavelength and Water Depth 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 Wave Celerity given Wavelength and Water Depth can be measured.

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Wave Celerity given Wavelength and Water Depth Formula

​GoWave Celerity given Wavelength and Wave Period Formula

​GoWave Celerity given Wave Period and Wavelength Formula

Wave Celerity given Wavelength and Water Depth Example

Wave Celerity given Wavelength and Water Depth Solution

Wave Celerity given Wavelength and Water Depth Formula Elements

Other Formulas to find Deepwater Wave Celerity

Other formulas in Wave Celerity category

How to Evaluate Wave Celerity given Wavelength and Water Depth?

FAQs on Wave Celerity given Wavelength and Water Depth

Variable Name

GoWave Celerity given Wavelength and Wave Period Formula

GoWave Celerity given Wave Period and Wavelength Formula