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Water Depth for Maximum Wave Steepness of Waves Travelling Formula

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Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body. Check FAQs

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

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

Water Depth for Maximum Wave Steepness of Waves Travelling Example

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Here is how the Water Depth for Maximum Wave Steepness of Waves Travelling equation looks like with Values.

Here is how the Water Depth for Maximum Wave Steepness of Waves Travelling equation looks like with Units.

Here is how the Water Depth for Maximum Wave Steepness of Waves Travelling equation looks like.

0.9149 = 26.8 \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot 3.1416}

0.9149m = 26.8m \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot 3.1416}

0.9149 = 26.8 \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot 3.1416}

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Water Depth for Maximum Wave Steepness of Waves Travelling Solution

Follow our step by step solution on how to calculate Water Depth for Maximum Wave Steepness of Waves Travelling?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = 26.8m \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot π}

Next Step Substitute values of Constants

∴

d = 26.8m \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

d = 26.8 \cdot a \frac{\tanh (\frac{0.03}{0.142})}{2 \cdot 3.1416}

Next Step Evaluate

∴

d = 0.914908733851497m

LAST Step Rounding Answer

∴

d = 0.9149m

Water Depth for Maximum Wave Steepness of Waves Travelling Formula Elements

Variables

Constants

Functions

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

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

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 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 Water Depth for Maximum Wave Steepness of Waves Travelling?

Water Depth for Maximum Wave Steepness of Waves Travelling evaluator uses Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi) to evaluate the Water Depth, The Water Depth for Maximum Wave Steepness of Waves Travelling formula is defined as the depths less than Lo/2 is known measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort. Water Depth is denoted by d symbol.

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

FAQs on Water Depth for Maximum Wave Steepness of Waves Travelling

What is the formula to find Water Depth for Maximum Wave Steepness of Waves Travelling?

The formula of Water Depth for Maximum Wave Steepness of Waves Travelling is expressed as Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi). Here is an example- 0.914909 = 26.8*atanh(0.03/0.142)/(2*pi).

How to calculate Water Depth for Maximum Wave Steepness of Waves Travelling?

With Wavelength (λ) & Wave Steepness (ε_s) we can find Water Depth for Maximum Wave Steepness of Waves Travelling using the formula - Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi). This formula also uses Archimedes' constant and , Hyperbolic Tangent (tanh), Inverse Hyperbolic Tangent (atanh) function(s).

Can the Water Depth for Maximum Wave Steepness of Waves Travelling be negative?

Yes, the Water Depth for Maximum Wave Steepness of Waves Travelling, measured in Length can be negative.

Which unit is used to measure Water Depth for Maximum Wave Steepness of Waves Travelling?

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

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Water Depth for Maximum Wave Steepness of Waves Travelling Formula

Water Depth for Maximum Wave Steepness of Waves Travelling Example

Water Depth for Maximum Wave Steepness of Waves Travelling Solution

Water Depth for Maximum Wave Steepness of Waves Travelling Formula Elements

Other formulas in Wave Parameters category

How to Evaluate Water Depth for Maximum Wave Steepness of Waves Travelling?

FAQs on Water Depth for Maximum Wave Steepness of Waves Travelling

Variable Name