Angular Frequency given Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Frequency = (2*pi*Velocity of Wave)/Wavelength
ωf = (2*pi*Vw)/λ
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity of Wave: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Wavelength: 0.4 Meter --> 0.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωf = (2*pi*Vw)/λ --> (2*pi*60)/0.4
Evaluating ... ...
ωf = 942.477796076938
STEP 3: Convert Result to Output's Unit
942.477796076938 Hertz --> No Conversion Required
FINAL ANSWER
942.477796076938 942.4778 Hertz <-- Angular Frequency
(Calculation completed in 00.004 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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4 Angular Frequency Calculators

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

Angular Frequency given Velocity Formula

Angular Frequency = (2*pi*Velocity of Wave)/Wavelength
ωf = (2*pi*Vw)/λ

What is time period ?

A wave period is the time in seconds between two wave peaks and is inversely proportional to frequency. If you want to know the period of a wave, start by counting the number of times the wave reaches its peak in a certain period of time. Use an oscilloscope to see the shape of the wave.

How to Calculate Angular Frequency given Velocity?

Angular Frequency given Velocity calculator uses Angular Frequency = (2*pi*Velocity of Wave)/Wavelength to calculate the Angular Frequency, Angular Frequency given Velocity is the number of oscillations made by the wave in one second. It is denoted by omega. Angular Frequency is denoted by ωf symbol.

How to calculate Angular Frequency given Velocity using this online calculator? To use this online calculator for Angular Frequency given Velocity, enter Velocity of Wave (Vw) & Wavelength (λ) and hit the calculate button. Here is how the Angular Frequency given Velocity calculation can be explained with given input values -> 942.4778 = (2*pi*60)/0.4.

FAQ

What is Angular Frequency given Velocity?
Angular Frequency given Velocity is the number of oscillations made by the wave in one second. It is denoted by omega and is represented as ωf = (2*pi*Vw)/λ or Angular Frequency = (2*pi*Velocity of Wave)/Wavelength. 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 is the distance covered by the wave in one oscillation.
How to calculate Angular Frequency given Velocity?
Angular Frequency given Velocity is the number of oscillations made by the wave in one second. It is denoted by omega is calculated using Angular Frequency = (2*pi*Velocity of Wave)/Wavelength. To calculate Angular Frequency given Velocity, you need Velocity of Wave (Vw) & Wavelength (λ). With our tool, you need to enter the respective value for Velocity of Wave & Wavelength 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 Angular Frequency?
In this formula, Angular Frequency uses Velocity of Wave & Wavelength. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Angular Frequency = 2*pi*Wave Frequency
  • Angular Frequency = (2*pi)/Time Period of Progressive Wave
  • Angular Frequency = Wave Number*Velocity of Wave
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