Wave Number 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 is the distance covered by the wave in one oscillation.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 0.4 Meter --> 0.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = (2*pi)/λ --> (2*pi)/0.4
Evaluating ... ...
k = 15.707963267949
STEP 3: Convert Result to Output's Unit
15.707963267949 --> No Conversion Required
FINAL ANSWER
15.707963267949 15.70796 <-- Wave Number
(Calculation completed in 00.004 seconds)
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Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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16 Waves And Sound Calculators

Length of Open Organ Pipe
Go Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency
Loudness
Go Loudness = 10*log10(Sound Intensity/Reference Intensity)
Velocity of Sound in Liquid
Go Velocity of Wave = sqrt(Bulk Modulus/Density)
Velocity of Sound in Solids
Go Velocity of Wave = sqrt(Elasticity/Density)
Mass per Unit Length of String
Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)
Time Period given Velocity
Go Time Period of Progressive Wave = Wavelength/Velocity of Wave
Time Period using Angular Frequency
Go Time Period of Progressive Wave = (2*pi)/Angular Frequency
Tension in String
Go Tension of String = Velocity of Wave^2*Mass per Unit Length
Length of Closed Organ Pipe
Go Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4
Wave Number using Angular Frequency
Go Wave Number = Angular Frequency/Velocity of Wave
Frequency of Wavelength using Velocity
Go Wave Frequency = Velocity of Wave/Wavelength
Frequency of Progressive Wave
Go Wave Frequency = Angular Frequency/(2*pi)
Intensity of Sound
Go Sound Intensity = Power/Normal Area
Wave Number
Go Wave Number = (2*pi)/Wavelength
Frequency of Wave using Time Period
Go Wave Frequency = 1/Time Period of Progressive Wave
Time Period using Frequency
Go Time Period of Progressive Wave = 1/Wave Frequency

Wave Number Formula

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

What is a 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 Wave Number?

Wave Number calculator uses Wave Number = (2*pi)/Wavelength to calculate the 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. Wave Number is denoted by k symbol.

How to calculate Wave Number using this online calculator? To use this online calculator for Wave Number, enter Wavelength (λ) and hit the calculate button. Here is how the Wave Number calculation can be explained with given input values -> 15.70796 = (2*pi)/0.4.

FAQ

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 and is represented as k = (2*pi)/λ or Wave Number = (2*pi)/Wavelength. Wavelength is the distance covered by the wave in one oscillation.
How to calculate 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 is calculated using Wave Number = (2*pi)/Wavelength. To calculate Wave Number, 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 = Angular Frequency/Velocity of Wave
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