Velocity of Progressive Wave given Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = (Wavelength*Angular Frequency)/(4*pi)
v = (λ*ω)/(4*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
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: 26.8 Meter --> 26.8 Meter No Conversion Required
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (λ*ω)/(4*pi) --> (26.8*10.28)/(4*pi)
Evaluating ... ...
v = 21.9239117207948
STEP 3: Convert Result to Output's Unit
21.9239117207948 Meter per Second --> No Conversion Required
FINAL ANSWER
21.9239117207948 Meter per Second <-- Velocity
(Calculation completed in 00.015 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
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 Progressive Wave given Angular Frequency Formula

Velocity = (Wavelength*Angular Frequency)/(4*pi)
v = (λ*ω)/(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 = (Wavelength*Angular Frequency)/(4*pi) to calculate the Velocity, Velocity of Progressive Wave given Angular Frequency is the distance covered by the wave in one second. Velocity is denoted by v 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 (ω) and hit the calculate button. Here is how the Velocity of Progressive Wave given Angular Frequency calculation can be explained with given input values -> 21.92391 = (26.8*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 v = (λ*ω)/(4*pi) or Velocity = (Wavelength*Angular Frequency)/(4*pi). Wavelength can be defined as the distance between two successive crests or troughs of a wave & 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 = (Wavelength*Angular Frequency)/(4*pi). To calculate Velocity of Progressive Wave given Angular Frequency, you need Wavelength (λ) & Angular Frequency (ω). 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?
In this formula, Velocity uses Wavelength & Angular Frequency. 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 Of A Wave*Frequency
  • Velocity = Angular Frequency/Wave Number
  • Velocity = sqrt(Tension Of String/Mass per unit length)
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