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Wavelength for Maximum Wave Steepness Formula

GoEckart's Equation for Wavelength Formula

GoWavelength given Maximum Wave Steepness Limit by Michell Formula

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

λ = 2 \cdot π \cdot \frac{d}{a} \tanh (\frac{ε s}{0.142})

λ - Wavelength?d - Water Depth?ε_s - Wave Steepness?π - Archimedes' constant?

Wavelength for Maximum Wave Steepness Example

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Here is how the Wavelength for Maximum Wave Steepness equation looks like with Values.

Here is how the Wavelength for Maximum Wave Steepness equation looks like with Units.

Here is how the Wavelength for Maximum Wave Steepness equation looks like.

26.6562 = 2 \cdot 3.1416 \cdot \frac{0.91}{a} \tanh (\frac{0.03}{0.142})

26.6562m = 2 \cdot 3.1416 \cdot \frac{0.91m}{a} \tanh (\frac{0.03}{0.142})

26.6562 = 2 \cdot 3.1416 \cdot \frac{0.91}{a} \tanh (\frac{0.03}{0.142})

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Wavelength for Maximum Wave Steepness Solution

Follow our step by step solution on how to calculate Wavelength for Maximum Wave Steepness?

FIRST Step Consider the formula

λ = 2 \cdot π \cdot \frac{d}{a} \tanh (\frac{ε s}{0.142})

Next Step Substitute values of Variables

∴

λ = 2 \cdot π \cdot \frac{0.91m}{a} \tanh (\frac{0.03}{0.142})

Next Step Substitute values of Constants

∴

λ = 2 \cdot 3.1416 \cdot \frac{0.91m}{a} \tanh (\frac{0.03}{0.142})

Next Step Prepare to Evaluate

∴

λ = 2 \cdot 3.1416 \cdot \frac{0.91}{a} \tanh (\frac{0.03}{0.142})

Next Step Evaluate

∴

λ = 26.6562107209685m

LAST Step Rounding Answer

∴

λ = 26.6562m

Wavelength for Maximum Wave Steepness 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 can be positive or negative.

Formulas to find 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 can be positive or negative.

Formulas to find Water Depth

Wave Steepness

Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

Symbol: ε_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wave Steepness

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 Eckart's Equation for Wavelength

λ = (([g] \cdot \frac{P^{2}}{2} \cdot π) \cdot \sqrt{\frac{\tanh (4 \cdot π^{2} \cdot d)}{P^{2}} \cdot [g]})

Go Wavelength given Maximum Wave Steepness Limit by Michell

λ = \frac{H}{0.142}

Other formulas in Wave Parameters category

Go Wave Amplitude

a = \frac{H}{2}

Go Angular of Radian Frequency of Wave

ω = 2 \cdot \frac{π}{P}

Go Wave number given wavelength

k = 2 \cdot \frac{π}{λ}

Go Phase Velocity or Wave Celerity

C = \frac{λ}{P}

How to Evaluate Wavelength for Maximum Wave Steepness?

Wavelength for Maximum Wave Steepness evaluator uses Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142) to evaluate the Wavelength, The Wavelength for Maximum Wave Steepness for Waves Travelling in Depths less than Lo/2 is known as the spatial period of a periodic wave—the distance over which the wave's shape repeats. Wavelength is denoted by λ symbol.

How to evaluate Wavelength for Maximum Wave Steepness using this online evaluator? To use this online evaluator for Wavelength for Maximum Wave Steepness, enter Water Depth (d) & Wave Steepness (ε_s) and hit the calculate button.

FAQs on Wavelength for Maximum Wave Steepness

What is the formula to find Wavelength for Maximum Wave Steepness?

The formula of Wavelength for Maximum Wave Steepness is expressed as Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142). Here is an example- 30.75717 = 2*pi*0.91/atanh(0.03/0.142).

How to calculate Wavelength for Maximum Wave Steepness?

With Water Depth (d) & Wave Steepness (ε_s) we can find Wavelength for Maximum Wave Steepness using the formula - Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142). This formula also uses 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=(([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))
Wavelength=Wave Height/0.142

Can the Wavelength for Maximum Wave Steepness be negative?

Yes, the Wavelength for Maximum Wave Steepness, measured in Length can be negative.

Which unit is used to measure Wavelength for Maximum Wave Steepness?

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

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Wavelength for Maximum Wave Steepness Formula

​GoEckart's Equation for Wavelength Formula

​GoWavelength given Maximum Wave Steepness Limit by Michell Formula

Wavelength for Maximum Wave Steepness Example

Wavelength for Maximum Wave Steepness Solution

Wavelength for Maximum Wave Steepness Formula Elements

Other Formulas to find Wavelength

Other formulas in Wave Parameters category

How to Evaluate Wavelength for Maximum Wave Steepness?

FAQs on Wavelength for Maximum Wave Steepness

Variable Name

GoEckart's Equation for Wavelength Formula

GoWavelength given Maximum Wave Steepness Limit by Michell Formula