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Eckert's Equation for Wavelength Formula

GoWavelength given Wave Celerity Formula

GoWavelength given Wave Celerity and Wave Speed Formula

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

λ = λ o \cdot \sqrt{\tanh (\frac{2 \cdot π \cdot d}{λ o})}

λ - Wavelength?λ_o - DeepWater Wavelength?d - Water Depth?π - Archimedes' constant?

Eckert's Equation for Wavelength Example

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Here is how the Eckert's Equation for Wavelength equation looks like with Values.

Here is how the Eckert's Equation for Wavelength equation looks like with Units.

Here is how the Eckert's Equation for Wavelength equation looks like.

10.3564 = 13 \cdot \sqrt{\tanh (\frac{2 \cdot 3.1416 \cdot 1.55}{13})}

10.3564m = 13m \cdot \sqrt{\tanh (\frac{2 \cdot 3.1416 \cdot 1.55m}{13m})}

10.3564 = 13 \cdot \sqrt{\tanh (\frac{2 \cdot 3.1416 \cdot 1.55}{13})}

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Eckert's Equation for Wavelength Solution

Follow our step by step solution on how to calculate Eckert's Equation for Wavelength?

FIRST Step Consider the formula

λ = λ o \cdot \sqrt{\tanh (\frac{2 \cdot π \cdot d}{λ o})}

Next Step Substitute values of Variables

∴

λ = 13m \cdot \sqrt{\tanh (\frac{2 \cdot π \cdot 1.55m}{13m})}

Next Step Substitute values of Constants

∴

λ = 13m \cdot \sqrt{\tanh (\frac{2 \cdot 3.1416 \cdot 1.55m}{13m})}

Next Step Prepare to Evaluate

∴

λ = 13 \cdot \sqrt{\tanh (\frac{2 \cdot 3.1416 \cdot 1.55}{13})}

Next Step Evaluate

∴

λ = 10.3563665420983m

LAST Step Rounding Answer

∴

λ = 10.3564m

Eckert's Equation for Wavelength 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

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 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

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 Wavelength

Go Wavelength given Wave Celerity

λ = C \cdot T

Go Wavelength given Wave Celerity and Wave Speed

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

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 Eckert's Equation for Wavelength?

Eckert's Equation for Wavelength evaluator uses Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)) to evaluate the Wavelength, The Eckert's Equation for Wavelength formula is defined as the calculating the wavelength of deepwater waves based on certain parameters like deepwater wavelength and water depth. Wavelength is denoted by λ symbol.

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

FAQs on Eckert's Equation for Wavelength

What is the formula to find Eckert's Equation for Wavelength?

The formula of Eckert's Equation for Wavelength is expressed as Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)). Here is an example- 6.579447 = 13*sqrt(tanh((2*pi*1.55)/13)).

How to calculate Eckert's Equation for Wavelength?

With DeepWater Wavelength (λ_o) & Water Depth (d) we can find Eckert's Equation for Wavelength using the formula - Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength)). This formula also uses Archimedes' constant and , Square Root (sqrt), Hyperbolic Tangent (tanh) function(s).

What are the other ways to Calculate Wavelength?

Here are the different ways to Calculate Wavelength-

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

Can the Eckert's Equation for Wavelength be negative?

No, the Eckert's Equation for Wavelength, measured in Length cannot be negative.

Which unit is used to measure Eckert's Equation for Wavelength?

Eckert's Equation for Wavelength is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Eckert's Equation for Wavelength can be measured.

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: Unit

Eckert's Equation for Wavelength Formula

​GoWavelength given Wave Celerity Formula

​GoWavelength given Wave Celerity and Wave Speed Formula

Eckert's Equation for Wavelength Example

Eckert's Equation for Wavelength Solution

Eckert's Equation for Wavelength Formula Elements

Other Formulas to find Wavelength

Other formulas in Wavelength category

How to Evaluate Eckert's Equation for Wavelength?

FAQs on Eckert's Equation for Wavelength

Variable Name

GoWavelength given Wave Celerity Formula

GoWavelength given Wave Celerity and Wave Speed Formula