Relative Wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth
λr = λo/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 horizontal distance between two successive crests (or troughs) of the wave.
Coastal Mean Depth - (Measured in Meter) - Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.
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
λr = λo/d --> 7/10
Evaluating ... ...
λr = 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 00.020 seconds)

Credits

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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!
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

Linear Dispersion Relation of Linear Wave Calculators

Velocity of Propagation in Linear Dispersion Relation given Wavelength
​ LaTeX ​ 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))
Velocity of Propagation in Linear Dispersion Relation
​ LaTeX ​ 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))
Wavelength given Wave Number
​ LaTeX ​ Go Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave
Relative Wavelength
​ LaTeX ​ Go Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth

Relative Wavelength Formula

​LaTeX ​Go
Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth
λr = λo/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 λr symbol.

How to calculate Relative Wavelength using this online calculator? To use this online calculator for Relative Wavelength, enter Deep-Water Wavelength 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 λr = λo/d or Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth. Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave & Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.
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 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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