Wave Number using Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number = Angular Frequency/Velocity of Wave
k = ωf/Vw
This formula uses 3 Variables
Variables Used
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Velocity of Wave - (Measured in Meter per Second) - The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Velocity of Wave: 60 Meter per Second --> 60 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = ωf/Vw --> 10.28/60
Evaluating ... ...
k = 0.171333333333333
STEP 3: Convert Result to Output's Unit
0.171333333333333 --> No Conversion Required
FINAL ANSWER
0.171333333333333 0.171333 <-- Wave Number
(Calculation completed in 00.004 seconds)

Credits

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Wave Number using Angular Frequency Formula

Wave Number = Angular Frequency/Velocity of Wave
k = ωf/Vw

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 using Angular Frequency?

Wave Number using Angular Frequency calculator uses Wave Number = Angular Frequency/Velocity of Wave to calculate the Wave Number, Wave Number using Angular Frequency 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 Angular Frequency using this online calculator? To use this online calculator for Wave Number using Angular Frequency, enter Angular Frequency f) & Velocity of Wave (Vw) and hit the calculate button. Here is how the Wave Number using Angular Frequency calculation can be explained with given input values -> 0.171333 = 10.28/60.

FAQ

What is Wave Number using Angular Frequency?
Wave Number using Angular Frequency 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 = ωf/Vw or Wave Number = Angular Frequency/Velocity of Wave. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.
How to calculate Wave Number using Angular Frequency?
Wave Number using Angular Frequency 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 = Angular Frequency/Velocity of Wave. To calculate Wave Number using Angular Frequency, you need Angular Frequency f) & Velocity of Wave (Vw). With our tool, you need to enter the respective value for Angular Frequency & Velocity of Wave 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 Angular Frequency & Velocity of Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Number = (2*pi)/Wavelength
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