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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Formula

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Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber

Formula

`"C" = "ω"/"k"`

Example

`"26.95652m/s"="6.2rad/s"/"0.23"`

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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 00.004 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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< 18 Wave Parameters Calculators

Major horizontal semi-axis given wavelength, wave height and water depth

Go Horizontal Semi-axis of Water Particle = (Wave Height/2)*(cosh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Minor vertical semi-axis given wavelength, wave height and water depth

Go Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Eckart's Equation for Wavelength

Go Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))

Water Depth for maximum wave steepness of waves travelling

Go Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)

Wavelength for maximum wave steepness

Go Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142)

Maximum Wave Steepness for Waves Travelling

Go Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)

Wave Amplitude given Elevation of Water Surface Relative to SWL

Go Wave Amplitude = Elevation of Water Surface/cos(Theta)

Elevation of Water Surface Relative to SWL

Go Elevation of Water Surface = Wave Amplitude*cos(Theta)

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber

Go Celerity of The Wave = Wave Angular Frequency/Wave Number

Radian Frequency given Wave Celerity

Go Wave Angular Frequency = Celerity of The Wave*Wave Number

Wave Number given Wave Celerity

Go Wave Number = Wave Angular Frequency/Celerity of The Wave

Phase Velocity or Wave Celerity

Go Celerity of The Wave = Wavelength/Wave Period

Angular of Radian Frequency of Wave

Go Wave Angular Frequency = 2*pi/Wave Period

Wave Steepness

Go Wave Steepness = Wave Height/Wavelength

Wave number given wavelength

Go Wave Number = 2*pi/Wavelength

Wave Height given Maximum Wave Steepness Limit by Michell

Go Wave Height = Wavelength*0.142

Wavelength given Maximum Wave Steepness Limit by Michell

Go Wavelength = Wave Height/0.142

Wave Amplitude

Go Wave Amplitude = Wave Height/2

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber Formula

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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