Relative Wavelength Calculator

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖Coastal Mean Depth refers to the average depth of water over a particular area, such as a section of coastline, a bay, or an ocean basin.ⓘ Coastal Mean Depth [d]			+10% -10%

✖Relative Wavelength is the relative distance between corresponding points of two consecutive waves.ⓘ Relative Wavelength [λ_r]

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Formula

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Relative Wavelength

Formula

`"λ"_{"r"} = "λ"_{"o"}/"d"`

Example

`"0.7m"="7m"/"10m"`

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Relative Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth
λ_r = λ_o/d
This formula uses 3 Variables

Variables Used

Relative Wavelength - (Measured in Meter) - Relative Wavelength is the relative distance between corresponding points of two consecutive waves.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.
Coastal Mean Depth - (Measured in Meter) - Coastal Mean Depth refers to the average depth of water over a particular area, such as a section of coastline, a bay, or an ocean basin.

STEP 1: Convert Input(s) to Base Unit

Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Coastal Mean Depth: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_r = λ_o/d --> 7/10

Evaluating ... ...

λ_r = 0.7

STEP 3: Convert Result to Output's Unit

0.7 Meter --> No Conversion Required

FINAL ANSWER

0.7 Meter <-- Relative Wavelength

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Linear Dispersion Relation of Linear Wave » Relative Wavelength

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 12 Linear Dispersion Relation of Linear Wave Calculators

Velocity of Propagation in Linear Dispersion Relation given Wavelength

Go Velocity of Propagation = sqrt(([g]*Coastal Mean Depth*tanh(2*pi*Coastal Mean Depth/Deep Water Wavelength of Coast))/(2*pi*Coastal Mean Depth/Deep Water Wavelength of Coast))

Guo Formula of Linear Dispersion Relation for Wave Number

Go Wave Number for Water Wave = ((Angular Frequency of Wave^2*Coastal Mean Depth)/[g])*(1-exp(-(Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(5/2))^(-2/5)))/Coastal Mean Depth

Guo Formula of Linear Dispersion Relation

Go Linear Dispersion Relation = (Wave Angular Frequency^2*Coastal Mean Depth/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Coastal Mean Depth/[g])^(5/2))^(-2/5)))

Velocity of Propagation in Linear Dispersion Relation

Go Velocity of Propagation = sqrt(([g]*Coastal Mean Depth*tanh(Wave Number for Water Wave*Coastal Mean Depth))/(Wave Number for Water Wave*Coastal Mean Depth))

Wave Number of Convenient Empirical Explicit Approximation

Go Wave Number for Water Wave = (Angular Frequency of Wave^2/[g])*(coth((Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(3/2))^(2/3)))

Radian Frequency of Wave

Go Angular Frequency of Wave = sqrt([g]*Wave Number for Water Wave*tanh(Wave Number for Water Wave*Coastal Mean Depth))

Dimensionless Wave Speed

Go Wave Speed = Propagation Velocity/sqrt([g]*Coastal Mean Depth)

Wave Number for Steady Two-dimensional Waves

Go Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast

Wavelength given Wave Number

Go Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave

Relative Wavelength

Go Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth

Wave period given Radian Frequency of Waves

Go Wave Period = 2*pi/Wave Angular Frequency

Radian Frequency of Waves

Go Wave Angular Frequency = 2*pi/Wave Period

Relative Wavelength Formula

Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth
λ_r = λ_o/d

What is Wave Number?

Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance.

How to Calculate Relative Wavelength?

Relative Wavelength calculator uses Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth to calculate the Relative Wavelength, The Relative Wavelength is defined as how fast the wave travels and is determined by the properties of the medium in which the wave is moving. Relative Wavelength is denoted by λ_r symbol.

How to calculate Relative Wavelength using this online calculator? To use this online calculator for Relative Wavelength, enter Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) and hit the calculate button. Here is how the Relative Wavelength calculation can be explained with given input values -> 0.7 = 7/10.

FAQ

What is Relative Wavelength?

The Relative Wavelength is defined as how fast the wave travels and is determined by the properties of the medium in which the wave is moving and is represented as λ_r = λ_o/d or Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth. Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength & Coastal Mean Depth refers to the average depth of water over a particular area, such as a section of coastline, a bay, or an ocean basin.

How to calculate Relative Wavelength?

The Relative Wavelength is defined as how fast the wave travels and is determined by the properties of the medium in which the wave is moving is calculated using Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth. To calculate Relative Wavelength, you need Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d). With our tool, you need to enter the respective value for Deep-Water Wavelength & Coastal Mean Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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