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Wavelength given Wave Celerity and Wave Speed Formula

GoWavelength given Wave Celerity Formula

GoWavelength as Function of Depth and Wave Period Formula

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Wavelength can be defined as the distance between two successive crests or troughs of a wave. Check FAQs

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

λ - Wavelength?d - Water Depth?C - Wave Celerity?T - Wave Period?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Wavelength given Wave Celerity and Wave Speed Example

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

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

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

10.0687 = \frac{2 \cdot 3.1416 \cdot 1.55}{a \tanh (\frac{2 \cdot 3.5 \cdot 3.1416}{9.8066 \cdot 3})}

10.0687m = \frac{2 \cdot 3.1416 \cdot 1.55m}{a \tanh (\frac{2 \cdot 3.5m/s \cdot 3.1416}{9.8066m/s² \cdot 3s})}

10.0687 = \frac{2 \cdot 3.1416 \cdot 1.55}{a \tanh (\frac{2 \cdot 3.5 \cdot 3.1416}{9.8066 \cdot 3})}

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Wavelength given Wave Celerity and Wave Speed Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{2 \cdot π \cdot 1.55m}{a \tanh (\frac{2 \cdot 3.5m/s \cdot π}{[g] \cdot 3s})}

Next Step Substitute values of Constants

∴

λ = \frac{2 \cdot 3.1416 \cdot 1.55m}{a \tanh (\frac{2 \cdot 3.5m/s \cdot 3.1416}{9.8066m/s² \cdot 3s})}

Next Step Prepare to Evaluate

∴

λ = \frac{2 \cdot 3.1416 \cdot 1.55}{a \tanh (\frac{2 \cdot 3.5 \cdot 3.1416}{9.8066 \cdot 3})}

Next Step Evaluate

∴

λ = 10.0687411343781m

LAST Step Rounding Answer

∴

λ = 10.0687m

Wavelength given Wave Celerity and Wave Speed Formula Elements

Variables

Constants

Functions

Wavelength

Wavelength can be defined as the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength

Water Depth

Water Depth of the considered catchment is 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

Wave Celerity

Wave Celerity is the speed at which an individual wave advances or propagates.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find 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

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)

atanh

The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number.

Syntax: atanh(Number)

Other Formulas to find Wavelength

Go Wavelength given Wave Celerity

λ = C \cdot T

Go Wavelength as Function of Depth and Wave Period

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

Go Wavelength as Function of Water Depth and Wave Period

λ = (\frac{[g] \cdot T}{ω}) \cdot \tanh (k \cdot d)

Go Wavelength given Deepwater Celerity and Deepwater Wavelength

λ = \frac{λ o \cdot C}{C o}

Other formulas in Wavelength category

Go Deepwater Wavelength given Wave Celerity

λ o = C o \cdot T

Go Deepwater Wavelength given Celerity of Deepwater Wave

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

Go Deepwater Wavelength when SI systems Units of meters is Considered

λ o = 1.56 \cdot T^{2}

Go Deepwater Wavelength given Units of Feet

λ ft = 5.12 \cdot T^{2}

How to Evaluate Wavelength given Wave Celerity and Wave Speed?

Wavelength given Wave Celerity and Wave Speed evaluator uses Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))) to evaluate the Wavelength, The Wavelength given Wave Celerity and Wave Speed formula is defined as the distance between two identical points on successive waves. Wavelength is denoted by λ symbol.

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

FAQs on Wavelength given Wave Celerity and Wave Speed

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

The formula of Wavelength given Wave Celerity and Wave Speed is expressed as Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))). Here is an example- 6.82076 = (2*pi*1.55)/(atanh((2*3.5*pi)/([g]*3))).

How to calculate Wavelength given Wave Celerity and Wave Speed?

With Water Depth (d), Wave Celerity (C) & Wave Period (T) we can find Wavelength given Wave Celerity and Wave Speed using the formula - Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and , Hyperbolic Tangent (tanh), Inverse Hyperbolic Tangent (atanh) function(s).

What are the other ways to Calculate Wavelength?

Here are the different ways to Calculate Wavelength-

Wavelength=Wave Celerity*Wave Period
Wavelength=(([g]*Wave Period^2)/(2*pi))*tanh(Wave Number*Water Depth)
Wavelength=(([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth)

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

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

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

Wavelength given Wave Celerity and Wave Speed is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wavelength given Wave Celerity and Wave Speed can be measured.

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: Value
: Unit

Wavelength given Wave Celerity and Wave Speed Formula

​GoWavelength given Wave Celerity Formula

​GoWavelength as Function of Depth and Wave Period Formula

Wavelength given Wave Celerity and Wave Speed Example

Wavelength given Wave Celerity and Wave Speed Solution

Wavelength given Wave Celerity and Wave Speed Formula Elements

Other Formulas to find Wavelength

Other formulas in Wavelength category

How to Evaluate Wavelength given Wave Celerity and Wave Speed?

FAQs on Wavelength given Wave Celerity and Wave Speed

Variable Name

GoWavelength given Wave Celerity Formula

GoWavelength as Function of Depth and Wave Period Formula