Velocity of Wave given Wave Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = Angular Frequency/Wave Number
v = ω/k
This formula uses 3 Variables
Variables Used
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
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 Revolution per Second --> 10.28 Hertz (Check conversion here)
Wave Number: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = ω/k --> 10.28/0.2
Evaluating ... ...
v = 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
(Calculation completed in 00.010 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
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5 Velocity of Wave Calculators

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

Velocity of Wave given Wave Number Formula

Velocity = Angular Frequency/Wave Number
v = ω/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 = Angular Frequency/Wave Number to calculate the Velocity, The Velocity of Wave given Wave Number is the distance covered by the wave in one second. It is denoted by v. Velocity is denoted by v 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 (ω) & 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 v = ω/k or Velocity = 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 = Angular Frequency/Wave Number. To calculate Velocity of Wave given Wave Number, you need Angular Frequency (ω) & 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?
In this formula, Velocity uses Angular Frequency & Wave Number. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Velocity = Wavelength Of A Wave/Time Period of Progressive Wave
  • Velocity = (Wavelength*Angular Frequency)/(4*pi)
  • Velocity = Wavelength Of A Wave*Frequency
  • Velocity = sqrt(Tension Of String/Mass per unit length)
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