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) - Velocity of Wave is the speed at which a wave propagates through a medium, determined by the properties of the wave and the medium itself.
Angular Frequency - (Measured in Hertz) - Angular Frequency is a measure of how many oscillations or rotations occur per second in a wave, characterizing its periodic motion.
Wave Number - Wave Number is a measure of the number of waves or oscillations occurring per unit distance in a physical system, characterizing wave properties.
STEP 1: Convert Input(s) to Base Unit
Angular Frequency: 958 Hertz --> 958 Hertz No Conversion Required
Wave Number: 15.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vw = ωf/k --> 958/15.7
Evaluating ... ...
Vw = 61.0191082802548
STEP 3: Convert Result to Output's Unit
61.0191082802548 Meter per Second --> No Conversion Required
FINAL ANSWER
61.0191082802548 61.01911 Meter per Second <-- Velocity of Wave
(Calculation completed in 00.012 seconds)

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Wave Equations Calculators

Time Period given Velocity
​ LaTeX ​ Go Time Period of Progressive Wave = Wavelength/Velocity of Wave
Time Period using Angular Frequency
​ LaTeX ​ Go Time Period of Progressive Wave = (2*pi)/Angular Frequency
Angular Frequency using Frequency
​ LaTeX ​ Go Angular Frequency = 2*pi*Wave Frequency
Time Period using Frequency
​ LaTeX ​ Go Time Period of Progressive Wave = 1/Wave Frequency

Velocity of Wave given Wave Number Formula

​LaTeX ​Go
Velocity of Wave = Angular Frequency/Wave Number
Vw = ωf/k

What is Velocity of Wave?


The velocity of a wave is the speed at which the wave propagates through a medium. It is calculated as the product of the wave's frequency and its wavelength. The velocity determines how quickly the wave travels from one point to another in the medium.

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, Velocity of Wave given Wave Number formula is defined as a measure of the speed at which a wave propagates through a medium, providing insight into the wave's frequency and wavelength, and is essential in understanding various physical phenomena, such as sound and light waves, in physics and engineering applications. 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 -> 0.654777 = 958/15.7.

FAQ

What is Velocity of Wave given Wave Number?
Velocity of Wave given Wave Number formula is defined as a measure of the speed at which a wave propagates through a medium, providing insight into the wave's frequency and wavelength, and is essential in understanding various physical phenomena, such as sound and light waves, in physics and engineering applications and is represented as Vw = ωf/k or Velocity of Wave = Angular Frequency/Wave Number. Angular Frequency is a measure of how many oscillations or rotations occur per second in a wave, characterizing its periodic motion & Wave Number is a measure of the number of waves or oscillations occurring per unit distance in a physical system, characterizing wave properties.
How to calculate Velocity of Wave given Wave Number?
Velocity of Wave given Wave Number formula is defined as a measure of the speed at which a wave propagates through a medium, providing insight into the wave's frequency and wavelength, and is essential in understanding various physical phenomena, such as sound and light waves, in physics and engineering applications 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 3 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)/(2*pi)
  • Velocity of Wave = Wavelength*Wave Frequency
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