Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber Calculator

✖Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).ⓘ Wave Angular Frequency [ω]			+10% -10%
✖Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number [k]			+10% -10%

✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber [C]

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Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Celerity of the Wave = Wave Angular Frequency/Wave Number
C = ω/k
This formula uses 3 Variables

Variables Used

Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which a wave propagates through a medium.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).
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

Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
Wave Number: 0.23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = ω/k --> 6.2/0.23

Evaluating ... ...

C = 26.9565217391304

STEP 3: Convert Result to Output's Unit

26.9565217391304 Meter per Second --> No Conversion Required

FINAL ANSWER

26.9565217391304 ≈ 26.95652 Meter per Second <-- Celerity of the Wave

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Wave Parameters Calculators

Phase Velocity or Wave Celerity

LaTeX Go Celerity of the Wave = Wavelength/Wave Period

Angular of Radian Frequency of Wave

LaTeX Go Wave Angular Frequency = 2*pi/Wave Period

Wave number given wavelength

LaTeX Go Wave Number = 2*pi/Wavelength

Wave Amplitude

LaTeX Go Wave Amplitude = Wave Height/2

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber Formula

LaTeX Go

Celerity of the Wave = Wave Angular Frequency/Wave Number
C = ω/k

What are Water waves ?

Wave, a ridge or swell on the surface of a body of water, normally having a forward motion distinct from the oscillatory motion of the particles that successively compose it.

How to Calculate Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber?

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber calculator uses Celerity of the Wave = Wave Angular Frequency/Wave Number to calculate the Celerity of the Wave, The Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber formula is defined as the speed at which an individual wave advances or “propagates”. Celerity of the Wave is denoted by C symbol.

How to calculate Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber using this online calculator? To use this online calculator for Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber, enter Wave Angular Frequency (ω) & Wave Number (k) and hit the calculate button. Here is how the Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber calculation can be explained with given input values -> 31 = 6.2/0.23.

FAQ

What is Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber?

The Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber formula is defined as the speed at which an individual wave advances or “propagates” and is represented as C = ω/k or Celerity of the Wave = Wave Angular Frequency/Wave Number. Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega) & Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

How to calculate Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber?

The Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber formula is defined as the speed at which an individual wave advances or “propagates” is calculated using Celerity of the Wave = Wave Angular Frequency/Wave Number. To calculate Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber, you need Wave Angular Frequency (ω) & Wave Number (k). With our tool, you need to enter the respective value for Wave 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 Celerity of the Wave?

In this formula, Celerity of the Wave uses Wave Angular Frequency & Wave Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Celerity of the Wave = Wavelength/Wave Period

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