Velocity of Wave given Wave Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Wave = Angular Frequency/Wave Number
Vw = ωf/k
This formula uses 3 Variables
Variables Used
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.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Wave Number: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vw = ωf/k --> 10.28/0.2
Evaluating ... ...
Vw = 51.4
STEP 3: Convert Result to Output's Unit
51.4 Meter per Second --> No Conversion Required
FINAL ANSWER
51.4 Meter per Second <-- Velocity of Wave
(Calculation completed in 00.020 seconds)

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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5 Velocity of Wave Calculators

Velocity of Wave in String
Go Velocity of Wave = sqrt(Tension of String/Mass per Unit Length)
Velocity of Progressive Wave given Angular Frequency
Go Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)
Velocity of Progressive Wave
Go Velocity of Wave = Wavelength/Time Period of Progressive Wave
Velocity of Wave given Wave Number
Go Velocity of Wave = Angular Frequency/Wave Number
Velocity of Progressive Wave using Frequency
Go Velocity of Wave = Wavelength*Wave Frequency

Velocity of Wave given Wave Number Formula

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

What is 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 Velocity of Wave given Wave Number?

Velocity of Wave given Wave Number calculator uses Velocity of Wave = Angular Frequency/Wave Number to calculate the Velocity of Wave, The Velocity of Wave given Wave Number is the distance covered by the wave in one second. It is denoted by v. Velocity of Wave is denoted by Vw symbol.

How to calculate Velocity of Wave given Wave Number using this online calculator? To use this online calculator for Velocity of Wave given Wave Number, enter Angular Frequency f) & Wave Number (k) and hit the calculate button. Here is how the Velocity of Wave given Wave Number calculation can be explained with given input values -> 51.4 = 10.28/0.2.

FAQ

What is Velocity of Wave given Wave Number?
The Velocity of Wave given Wave Number is the distance covered by the wave in one second. It is denoted by v and is represented as Vw = ωf/k or Velocity of Wave = Angular Frequency/Wave Number. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
How to calculate Velocity of Wave given Wave Number?
The Velocity of Wave given Wave Number is the distance covered by the wave in one second. It is denoted by v is calculated using Velocity of Wave = Angular Frequency/Wave Number. To calculate Velocity of Wave given Wave Number, you need Angular Frequency f) & Wave Number (k). With our tool, you need to enter the respective value for Angular Frequency & Wave Number 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 Velocity of Wave?
In this formula, Velocity of Wave uses Angular Frequency & Wave Number. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Wave = Wavelength/Time Period of Progressive Wave
  • Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)
  • Velocity of Wave = Wavelength*Wave Frequency
  • Velocity of Wave = sqrt(Tension of String/Mass per Unit Length)
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