Velocity of Progressive Wave given Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)
Vw = (λ*ωf)/(4*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Wavelength - (Measured in Meter) - Wavelength is the distance covered by the wave in one oscillation.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 0.4 Meter --> 0.4 Meter No Conversion Required
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vw = (λ*ωf)/(4*pi) --> (0.4*10.28)/(4*pi)
Evaluating ... ...
Vw = 0.327222562996937
STEP 3: Convert Result to Output's Unit
0.327222562996937 Meter per Second --> No Conversion Required
FINAL ANSWER
0.327222562996937 0.327223 Meter per Second <-- Velocity of Wave
(Calculation completed in 00.004 seconds)

Credits

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

Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)
Vw = (λ*ωf)/(4*pi)

What is velocity of a wave?

Wave velocity in common usage refers to speed, although, properly, velocity implies both speed and direction. The velocity of a 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 Velocity of Progressive Wave given Angular Frequency?

Velocity of Progressive Wave given Angular Frequency calculator uses Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi) to calculate the Velocity of Wave, Velocity of Progressive Wave given Angular Frequency is the distance covered by the wave in one second. Velocity of Wave is denoted by Vw symbol.

How to calculate Velocity of Progressive Wave given Angular Frequency using this online calculator? To use this online calculator for Velocity of Progressive Wave given Angular Frequency, enter Wavelength (λ) & Angular Frequency f) and hit the calculate button. Here is how the Velocity of Progressive Wave given Angular Frequency calculation can be explained with given input values -> 0.327223 = (0.4*10.28)/(4*pi).

FAQ

What is Velocity of Progressive Wave given Angular Frequency?
Velocity of Progressive Wave given Angular Frequency is the distance covered by the wave in one second and is represented as Vw = (λ*ωf)/(4*pi) or Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi). Wavelength is the distance covered by the wave in one oscillation & Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
How to calculate Velocity of Progressive Wave given Angular Frequency?
Velocity of Progressive Wave given Angular Frequency is the distance covered by the wave in one second is calculated using Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi). To calculate Velocity of Progressive Wave given Angular Frequency, you need Wavelength (λ) & Angular Frequency f). With our tool, you need to enter the respective value for Wavelength & Angular Frequency 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 Wavelength & Angular Frequency. 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*Wave Frequency
  • Velocity of Wave = Angular Frequency/Wave Number
  • Velocity of Wave = sqrt(Tension of String/Mass per Unit Length)
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