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Wavelength can be defined as the distance between two successive crests or troughs of a wave. Check FAQs
λ=λotanh(kd)
λ - Wavelength?λo - DeepWater Wavelength?k - Wave Number?d - Water Depth?

Wavelength given Deepwater Wavelength Example

With values
With units
Only example

Here is how the Wavelength given Deepwater Wavelength equation looks like with Values.

Here is how the Wavelength given Deepwater Wavelength equation looks like with Units.

Here is how the Wavelength given Deepwater Wavelength equation looks like.

13Edit=13Edittanh(5Edit1.55Edit)
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Wavelength given Deepwater Wavelength Solution

Follow our step by step solution on how to calculate Wavelength given Deepwater Wavelength?

FIRST Step Consider the formula
λ=λotanh(kd)
Next Step Substitute values of Variables
λ=13mtanh(51.55m)
Next Step Prepare to Evaluate
λ=13tanh(51.55)
Next Step Evaluate
λ=12.9999951759834m
LAST Step Rounding Answer
λ=13m

Wavelength given Deepwater Wavelength Formula Elements

Variables
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.
DeepWater Wavelength
Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.
Symbol: λo
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
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.
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=CT
​Go Wavelength given Wave Celerity and Wave Speed
λ=2πdatanh(2Cπ[g]T)
​Go Wavelength as Function of Depth and Wave Period
λ=([g]T22π)tanh(kd)
​Go Wavelength as Function of Water Depth and Wave Period
λ=([g]Tω)tanh(kd)

Other formulas in Wavelength category

​Go Deepwater Wavelength given Wave Celerity
λo=CoT
​Go Deepwater Wavelength given Celerity of Deepwater Wave
λo=Co22π[g]
​Go Deepwater Wavelength when SI systems Units of meters is Considered
λo=1.56T2
​Go Deepwater Wavelength given Units of Feet
λft=5.12T2

How to Evaluate Wavelength given Deepwater Wavelength?

Wavelength given Deepwater Wavelength evaluator uses Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth) to evaluate the Wavelength, The Wavelength given Deepwater Wavelength formula is defined as the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits. Wavelength is denoted by λ symbol.

How to evaluate Wavelength given Deepwater Wavelength using this online evaluator? To use this online evaluator for Wavelength given Deepwater Wavelength, enter DeepWater Wavelength o), Wave Number (k) & Water Depth (d) and hit the calculate button.

FAQs on Wavelength given Deepwater Wavelength

What is the formula to find Wavelength given Deepwater Wavelength?
The formula of Wavelength given Deepwater Wavelength is expressed as Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth). Here is an example- 6.999997 = 13*tanh(5*1.55).
How to calculate Wavelength given Deepwater Wavelength?
With DeepWater Wavelength o), Wave Number (k) & Water Depth (d) we can find Wavelength given Deepwater Wavelength using the formula - Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth). This formula also uses 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 PeriodOpenImg
  • Wavelength=(2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))OpenImg
  • Wavelength=(([g]*Wave Period^2)/(2*pi))*tanh(Wave Number*Water Depth)OpenImg
Can the Wavelength given Deepwater Wavelength be negative?
No, the Wavelength given Deepwater Wavelength, measured in Length cannot be negative.
Which unit is used to measure Wavelength given Deepwater Wavelength?
Wavelength given Deepwater Wavelength is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wavelength given Deepwater Wavelength can be measured.
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