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Wavelength as Function of Water Depth and Wave Period 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 = (\frac{[g] \cdot T}{ω}) \cdot \tanh (k \cdot d)

λ - Wavelength?T - Wave Period?ω - Wave Angular Frequency?k - Wave Number?d - Water Depth?[g] - Gravitational acceleration on Earth?

Wavelength as Function of Water Depth and Wave Period Example

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Here is how the Wavelength as Function of Water Depth and Wave Period equation looks like with Values.

Here is how the Wavelength as Function of Water Depth and Wave Period equation looks like with Units.

Here is how the Wavelength as Function of Water Depth and Wave Period equation looks like.

11.768 = (\frac{9.8066 \cdot 3}{2.5}) \cdot \tanh (5 \cdot 1.55)

11.768m = (\frac{9.8066m/s² \cdot 3s}{2.5rad/s}) \cdot \tanh (5 \cdot 1.55m)

11.768 = (\frac{9.8066 \cdot 3}{2.5}) \cdot \tanh (5 \cdot 1.55)

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Wavelength as Function of Water Depth and Wave Period Solution

Follow our step by step solution on how to calculate Wavelength as Function of Water Depth and Wave Period?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = (\frac{[g] \cdot 3s}{2.5rad/s}) \cdot \tanh (5 \cdot 1.55m)

Next Step Substitute values of Constants

∴

λ = (\frac{9.8066m/s² \cdot 3s}{2.5rad/s}) \cdot \tanh (5 \cdot 1.55m)

Next Step Prepare to Evaluate

∴

λ = (\frac{9.8066 \cdot 3}{2.5}) \cdot \tanh (5 \cdot 1.55)

Next Step Evaluate

∴

λ = 11.7679756331591m

LAST Step Rounding Answer

∴

λ = 11.768m

Wavelength as Function of Water Depth and Wave Period 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

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

Wave Angular Frequency

Wave Angular Frequency is a measure of how quickly the phase of the wave changes over time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Wave Angular Frequency

Wave Number

Wave Number is the number of wavelengths per unit distance along the propagation of a wave.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Number

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

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

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 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 as Function of Water Depth and Wave Period?

Wavelength as Function of Water Depth and Wave Period evaluator uses Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth) to evaluate the Wavelength, The Wavelength as Function of Water Depth and Wave Period formula is defined as the distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space given as the function of the time it takes for two successive crests or troughs of a wave to pass a specific point on the water surface. Wavelength is denoted by λ symbol.

How to evaluate Wavelength as Function of Water Depth and Wave Period using this online evaluator? To use this online evaluator for Wavelength as Function of Water Depth and Wave Period, enter Wave Period (T), Wave Angular Frequency (ω), Wave Number (k) & Water Depth (d) and hit the calculate button.

FAQs on Wavelength as Function of Water Depth and Wave Period

What is the formula to find Wavelength as Function of Water Depth and Wave Period?

The formula of Wavelength as Function of Water Depth and Wave Period is expressed as Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth). Here is an example- 11.76733 = (([g]*3)/2.5)*tanh(5*1.55).

How to calculate Wavelength as Function of Water Depth and Wave Period?

With Wave Period (T), Wave Angular Frequency (ω), Wave Number (k) & Water Depth (d) we can find Wavelength as Function of Water Depth and Wave Period using the formula - Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth). This formula also uses Gravitational acceleration on Earth constant(s) and 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 Wavelength as Function of Water Depth and Wave Period be negative?

No, the Wavelength as Function of Water Depth and Wave Period, measured in Length cannot be negative.

Which unit is used to measure Wavelength as Function of Water Depth and Wave Period?

Wavelength as Function of Water Depth and Wave Period is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wavelength as Function of Water Depth and Wave Period can be measured.

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Wavelength as Function of Water Depth and Wave Period Formula

​GoWavelength given Wave Celerity Formula

​GoWavelength given Wave Celerity and Wave Speed Formula

Wavelength as Function of Water Depth and Wave Period Example

Wavelength as Function of Water Depth and Wave Period Solution

Wavelength as Function of Water Depth and Wave Period Formula Elements

Other Formulas to find Wavelength

Other formulas in Wavelength category

How to Evaluate Wavelength as Function of Water Depth and Wave Period?

FAQs on Wavelength as Function of Water Depth and Wave Period

Variable Name

GoWavelength given Wave Celerity Formula

GoWavelength given Wave Celerity and Wave Speed Formula