Wavelength given wave number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave
λo = (2*pi)/k
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Wave Number for Water Wave - The wave number for water waves quantifies the number of waves per unit length along the surface of the water.
STEP 1: Convert Input(s) to Base Unit
Wave Number for Water Wave: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λo = (2*pi)/k --> (2*pi)/0.2
Evaluating ... ...
λo = 31.4159265358979
STEP 3: Convert Result to Output's Unit
31.4159265358979 Meter --> No Conversion Required
FINAL ANSWER
31.4159265358979 31.41593 Meter <-- Deep-Water Wavelength
(Calculation completed in 00.004 seconds)

Credits

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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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]*Mean Depth*tanh(2*pi*Mean Depth/Deep-Water Wavelength))/(2*pi*Mean Depth/Deep-Water Wavelength))
Guo Formula of Linear Dispersion Relation for Wave Number
Go Wave Number for Water Wave = ((Wave Angular Frequency^2*Mean Depth)/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Mean Depth/[g])^(5/2))^(-2/5)))/Mean Depth
Guo Formula of Linear Dispersion Relation
Go Linear Dispersion Relation = (Wave Angular Frequency^2*Mean Depth/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Mean Depth/[g])^(5/2))^(-2/5)))
Velocity of Propagation in Linear Dispersion Relation
Go Velocity of Propagation = sqrt(([g]*Mean Depth*tanh(Wave Number for Water Wave*Mean Depth))/(Wave Number for Water Wave*Mean Depth))
Wave Number of Convenient Empirical Explicit Approximation
Go Wave Number for Water Wave = (Wave Angular Frequency^2/[g])*(coth((Wave Angular Frequency*sqrt(Mean Depth/[g])^(3/2))^(2/3)))
Radian Frequency of Wave
Go Wave Angular Frequency = sqrt([g]*Wave Number for Water Wave*tanh(Wave Number for Water Wave*Mean Depth))
Dimensionless Wave Speed
Go Wave Speed = Velocity of Propagation/sqrt([g]*Mean Depth)
Wave Number for Steady Two-dimensional Waves
Go Wave Number for Water Wave = (2*pi)/Deep-Water Wavelength
Wavelength given wave number
Go Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave
Relative Wavelength
Go Relative Wavelength = Deep-Water Wavelength/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

Wavelength given wave number Formula

Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave
λo = (2*pi)/k

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 Wavelength given wave number?

Wavelength given wave number calculator uses Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave to calculate the Deep-Water Wavelength, The Wavelength given wave number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Deep-Water Wavelength is denoted by λo symbol.

How to calculate Wavelength given wave number using this online calculator? To use this online calculator for Wavelength given wave number, enter Wave Number for Water Wave (k) and hit the calculate button. Here is how the Wavelength given wave number calculation can be explained with given input values -> 31.41593 = (2*pi)/0.2.

FAQ

What is Wavelength given wave number?
The Wavelength given wave number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λo = (2*pi)/k or Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave. The wave number for water waves quantifies the number of waves per unit length along the surface of the water.
How to calculate Wavelength given wave number?
The Wavelength given wave number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave. To calculate Wavelength given wave number, you need Wave Number for Water Wave (k). With our tool, you need to enter the respective value for Wave Number for Water Wave 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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