Wavelength given Wave Number Calculator

✖Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.ⓘ Wave Number for Water Wave [k]

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✖Deep Water Wavelength of Coast refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height.ⓘ Wavelength given Wave Number [λ^'']

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Formula

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Wavelength given Wave Number

Formula

`"λ"^{"''"} = (2*pi)/"k"`

Example

`"31.41593m"=(2*pi)/"0.2"`

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Wavelength given Wave Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave
λ^'' = (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 of Coast - (Measured in Meter) - Deep Water Wavelength of Coast refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height.
Wave Number for Water Wave - Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.

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

λ^'' = (2*pi)/k --> (2*pi)/0.2

Evaluating ... ...

λ^'' = 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 of Coast

(Calculation completed in 00.004 seconds)

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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

Wavelength given Wave Number Formula

Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave
λ^'' = (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 of Coast = (2*pi)/Wave Number for Water Wave to calculate the Deep Water Wavelength of Coast, The Wavelength given Wave Number is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Deep Water Wavelength of Coast is denoted by λ^'' 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 defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ^'' = (2*pi)/k or Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave. Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.

How to calculate Wavelength given Wave Number?

The Wavelength given Wave Number is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Deep Water Wavelength of Coast = (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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