Wave number given wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number = 2*pi/Wavelength
k = 2*pi/λ
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = 2*pi/λ --> 2*pi/26.8
Evaluating ... ...
k = 0.234447212954462
STEP 3: Convert Result to Output's Unit
0.234447212954462 --> No Conversion Required
FINAL ANSWER
0.234447212954462 0.234447 <-- Wave Number
(Calculation completed in 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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18 Wave Parameters Calculators

Major Horizontal Semi-Axis given wavelength, Wave Height and Water Depth
​ Go Horizontal Semi-axis of Water Particle = (Wave Height/2)*(cosh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)
Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth
​ Go Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)
Eckart's Equation for Wavelength
​ Go Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))
Water Depth for Maximum Wave Steepness of Waves Travelling
​ Go Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)
Wavelength for Maximum Wave Steepness
​ Go Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142)
Maximum Wave Steepness for Waves Travelling
​ Go Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)
Wave Amplitude given Elevation of Water Surface Relative to SWL
​ Go Wave Amplitude = Elevation of Water Surface/cos(Theta)
Elevation of Water Surface Relative to SWL
​ Go Elevation of Water Surface = Wave Amplitude*cos(Theta)
Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber
​ Go Celerity of The Wave = Wave Angular Frequency/Wave Number
Radian Frequency given Wave Celerity
​ Go Wave Angular Frequency = Celerity of The Wave*Wave Number
Wave Number given Wave Celerity
​ Go Wave Number = Wave Angular Frequency/Celerity of The Wave
Phase Velocity or Wave Celerity
​ Go Celerity of The Wave = Wavelength/Wave Period
Angular of Radian Frequency of Wave
​ Go Wave Angular Frequency = 2*pi/Wave Period
Wave Steepness
​ Go Wave Steepness = Wave Height/Wavelength
Wave number given wavelength
​ Go Wave Number = 2*pi/Wavelength
Wave Height given Maximum Wave Steepness Limit by Michell
​ Go Wave Height = Wavelength*0.142
Wavelength given Maximum Wave Steepness Limit by Michell
​ Go Wavelength = Wave Height/0.142
Wave Amplitude
​ Go Wave Amplitude = Wave Height/2

Wave number given wavelength Formula

Wave Number = 2*pi/Wavelength
k = 2*pi/λ

What are Water waves ?

Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period. The linear theory represents pure oscillatory waves.

How to Calculate Wave number given wavelength?

Wave number given wavelength calculator uses Wave Number = 2*pi/Wavelength to calculate the Wave Number, The Wave number given wavelength formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Wave Number is denoted by k symbol.

How to calculate Wave number given wavelength using this online calculator? To use this online calculator for Wave number given wavelength, enter Wavelength (λ) and hit the calculate button. Here is how the Wave number given wavelength calculation can be explained with given input values -> 0.234447 = 2*pi/26.8.

FAQ

What is Wave number given wavelength?
The Wave number given wavelength formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance and is represented as k = 2*pi/λ or Wave Number = 2*pi/Wavelength. Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Wave number given wavelength?
The Wave number given wavelength formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number = 2*pi/Wavelength. To calculate Wave number given wavelength, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wave Number?
In this formula, Wave Number uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Number = Wave Angular Frequency/Celerity of The Wave
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