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

C_o - Deepwater Wave Celerity?T - Wave Period?d - Water Depth?λ_o - DeepWater Wavelength?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wave Celerity given Wave Period and Wavelength Example

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

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

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

4.5927 = (\frac{9.8066 \cdot 3}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})

4.5927m/s = (\frac{9.8066m/s² \cdot 3s}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8m}{13m})

4.5927 = (\frac{9.8066 \cdot 3}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})

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Wave Celerity given Wave Period and Wavelength Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C o = (\frac{[g] \cdot 3s}{2 \cdot π}) \cdot \tanh (\frac{2 \cdot π \cdot 4.8m}{13m})

Next Step Substitute values of Constants

∴

C o = (\frac{9.8066m/s² \cdot 3s}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8m}{13m})

Next Step Prepare to Evaluate

∴

C o = (\frac{9.8066 \cdot 3}{2 \cdot 3.1416}) \cdot \tanh (\frac{2 \cdot 3.1416 \cdot 4.8}{13})

Next Step Evaluate

∴

C o = 4.59274480335383m/s

LAST Step Rounding Answer

∴

C o = 4.5927m/s

Wave Celerity given Wave Period and Wavelength 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

Wave Period

Wave Period is the time between successive peaks or troughs.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Wave Period

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

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

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 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 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 Wave Period and Wavelength?

Wave Celerity given Wave Period and Wavelength evaluator uses Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength) to evaluate the Deepwater Wave Celerity, The Wave Celerity given Wave Period and Wavelength formula is defined as the speed at which individual wave advances or “propagates” . Deepwater wave celerity is directly proportional to wave period, T. Deepwater Wave Celerity is denoted by C_o symbol.

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

FAQs on Wave Celerity given Wave Period and Wavelength

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

The formula of Wave Celerity given Wave Period and Wavelength is expressed as Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength). Here is an example- 2.191264 = (([g]*3)/(2*pi))*tanh((2*pi*4.8)/13).

How to calculate Wave Celerity given Wave Period and Wavelength?

With Wave Period (T), Water Depth (d) & DeepWater Wavelength (λ_o) we can find Wave Celerity given Wave Period and Wavelength using the formula - Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and 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=sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))
Deepwater Wave Celerity=DeepWater Wavelength/Wave Period

Can the Wave Celerity given Wave Period and Wavelength be negative?

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

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

Wave Celerity given Wave Period and Wavelength 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 Wave Period and Wavelength can be measured.

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Wave Celerity given Wave Period and Wavelength Formula

​GoWave Celerity given Wavelength and Wave Period Formula

​GoWave Celerity given Wavelength and Water Depth Formula

Wave Celerity given Wave Period and Wavelength Example

Wave Celerity given Wave Period and Wavelength Solution

Wave Celerity given Wave Period and Wavelength Formula Elements

Other Formulas to find Deepwater Wave Celerity

Other formulas in Wave Celerity category

How to Evaluate Wave Celerity given Wave Period and Wavelength?

FAQs on Wave Celerity given Wave Period and Wavelength

Variable Name

GoWave Celerity given Wavelength and Wave Period Formula

GoWave Celerity given Wavelength and Water Depth Formula