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Wavelength for Complete Elliptic Integral of First Kind Formula

GoWavelength for Distance from Bottom to Wave Trough Formula

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Wavelength of Wave refers to the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings. Check FAQs

λ = \sqrt{16 \cdot \frac{{d c}^{3}}{3 \cdot H w}} \cdot k \cdot K k

λ - Wavelength of Wave?d_c - Water Depth for Cnoidal Wave?H_w - Height of the Wave?k - Modulus of the Elliptic Integrals?K_k - Complete Elliptic Integral of the First Kind?

Wavelength for Complete Elliptic Integral of First Kind Example

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Here is how the Wavelength for Complete Elliptic Integral of First Kind equation looks like with Values.

Here is how the Wavelength for Complete Elliptic Integral of First Kind equation looks like with Units.

Here is how the Wavelength for Complete Elliptic Integral of First Kind equation looks like.

32.739 = \sqrt{16 \cdot \frac{16^{3}}{3 \cdot 14}} \cdot 0.0296 \cdot 28

32.739m = \sqrt{16 \cdot \frac{{16m}^{3}}{3 \cdot 14m}} \cdot 0.0296 \cdot 28

32.739 = \sqrt{16 \cdot \frac{16^{3}}{3 \cdot 14}} \cdot 0.0296 \cdot 28

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Wavelength for Complete Elliptic Integral of First Kind Solution

Follow our step by step solution on how to calculate Wavelength for Complete Elliptic Integral of First Kind?

FIRST Step Consider the formula

λ = \sqrt{16 \cdot \frac{{d c}^{3}}{3 \cdot H w}} \cdot k \cdot K k

Next Step Substitute values of Variables

∴

λ = \sqrt{16 \cdot \frac{{16m}^{3}}{3 \cdot 14m}} \cdot 0.0296 \cdot 28

Next Step Prepare to Evaluate

∴

λ = \sqrt{16 \cdot \frac{16^{3}}{3 \cdot 14}} \cdot 0.0296 \cdot 28

Next Step Evaluate

∴

λ = 32.7389738108369m

LAST Step Rounding Answer

∴

λ = 32.739m

Wavelength for Complete Elliptic Integral of First Kind Formula Elements

Variables

Functions

Wavelength of Wave

Wavelength of Wave refers to the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength of Wave

Water Depth for Cnoidal Wave

Water Depth for Cnoidal Wave refers to the depth of the water in which the cnoidal wave is propagating.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth for Cnoidal 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

Modulus of the Elliptic Integrals

Modulus of the Elliptic Integrals is essential for accurately modeling wave behavior, which is critical for designing coastal structures, assessing coastal hazards, and predicting wave impacts.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Modulus of the Elliptic Integrals

Complete Elliptic Integral of the First Kind

Complete Elliptic Integral of the First Kind is a mathematical tool that finds applications in coastal and ocean engineering, particularly in wave theory and harmonic analysis of wave data.

Symbol: K_k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Complete Elliptic Integral of the First Kind

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 Wavelength of Wave

Go Wavelength for Distance from Bottom to Wave Trough

λ = \sqrt{\frac{16 \cdot {d c}^{2} \cdot K k \cdot (K k - E k)}{3 \cdot ((\frac{y t}{d c}) + (\frac{H w}{d c}) - 1)}}

Other formulas in Cnoidal Wave Theory category

Go Distance from Bottom to Wave Trough

y t = d c \cdot ((\frac{y c}{d c}) - (\frac{H w}{d c}))

Go Distance from Bottom to Crest

y c = d c \cdot ((\frac{y t}{d c}) + (\frac{H w}{d c}))

Go Trough to Crest Wave Height

H w = d c \cdot ((\frac{y c}{d c}) - (\frac{y t}{d c}))

Go Complete Elliptic Integral of Second Kind

E k = - ((((\frac{y t}{d c}) + (\frac{H w}{d c}) - 1) \cdot \frac{3 \cdot λ^{2}}{(16 \cdot {d c}^{2}) \cdot K k}) - K k)

How to Evaluate Wavelength for Complete Elliptic Integral of First Kind?

Wavelength for Complete Elliptic Integral of First Kind evaluator uses Wavelength of Wave = sqrt(16*Water Depth for Cnoidal Wave^3/(3*Height of the Wave))*Modulus of the Elliptic Integrals*Complete Elliptic Integral of the First Kind to evaluate the Wavelength of Wave, The Wavelength for Complete Elliptic Integral of First Kind formula is defined as the spatial period of a periodic waves i.e. the distance over which the wave's shape repeats. Wavelength of Wave is denoted by λ symbol.

How to evaluate Wavelength for Complete Elliptic Integral of First Kind using this online evaluator? To use this online evaluator for Wavelength for Complete Elliptic Integral of First Kind, enter Water Depth for Cnoidal Wave (d_c), Height of the Wave (H_w), Modulus of the Elliptic Integrals (k) & Complete Elliptic Integral of the First Kind (K_k) and hit the calculate button.

FAQs on Wavelength for Complete Elliptic Integral of First Kind

What is the formula to find Wavelength for Complete Elliptic Integral of First Kind?

The formula of Wavelength for Complete Elliptic Integral of First Kind is expressed as Wavelength of Wave = sqrt(16*Water Depth for Cnoidal Wave^3/(3*Height of the Wave))*Modulus of the Elliptic Integrals*Complete Elliptic Integral of the First Kind. Here is an example- 32.73897 = sqrt(16*16^3/(3*14))*0.0296*28.

How to calculate Wavelength for Complete Elliptic Integral of First Kind?

With Water Depth for Cnoidal Wave (d_c), Height of the Wave (H_w), Modulus of the Elliptic Integrals (k) & Complete Elliptic Integral of the First Kind (K_k) we can find Wavelength for Complete Elliptic Integral of First Kind using the formula - Wavelength of Wave = sqrt(16*Water Depth for Cnoidal Wave^3/(3*Height of the Wave))*Modulus of the Elliptic Integrals*Complete Elliptic Integral of the First Kind. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Wavelength of Wave?

Here are the different ways to Calculate Wavelength of Wave-

Wavelength of Wave=sqrt((16*Water Depth for Cnoidal Wave^2*Complete Elliptic Integral of the First Kind*(Complete Elliptic Integral of the First Kind-Complete Elliptic Integral of the Second Kind))/(3*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of the Wave/Water Depth for Cnoidal Wave)-1)))

Can the Wavelength for Complete Elliptic Integral of First Kind be negative?

Yes, the Wavelength for Complete Elliptic Integral of First Kind, measured in Length can be negative.

Which unit is used to measure Wavelength for Complete Elliptic Integral of First Kind?

Wavelength for Complete Elliptic Integral of First Kind is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wavelength for Complete Elliptic Integral of First Kind can be measured.

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Wavelength for Complete Elliptic Integral of First Kind Formula

​GoWavelength for Distance from Bottom to Wave Trough Formula

Wavelength for Complete Elliptic Integral of First Kind Example

Wavelength for Complete Elliptic Integral of First Kind Solution

Wavelength for Complete Elliptic Integral of First Kind Formula Elements

Other Formulas to find Wavelength of Wave

Other formulas in Cnoidal Wave Theory category

How to Evaluate Wavelength for Complete Elliptic Integral of First Kind?

FAQs on Wavelength for Complete Elliptic Integral of First Kind

Variable Name

GoWavelength for Distance from Bottom to Wave Trough Formula