Wave Number given Wave Celerity 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%
✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Celerity of The Wave [C]			+10% -10%

✖Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number given Wave Celerity [k]

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Formula

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Wave Number given Wave Celerity

Formula

`"k" = "ω"/"C"`

Example

`"0.257796"="6.2rad/s"/"24.05m/s"`

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Wave Number given Wave Celerity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
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).
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.

STEP 1: Convert Input(s) to Base Unit

Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
Celerity of The Wave: 24.05 Meter per Second --> 24.05 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = ω/C --> 6.2/24.05

Evaluating ... ...

k = 0.257796257796258

STEP 3: Convert Result to Output's Unit

0.257796257796258 --> No Conversion Required

FINAL ANSWER

0.257796257796258 ≈ 0.257796 <-- Wave Number

(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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< 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

Wave Number given Wave Celerity Formula

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

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 Wave Number given Wave Celerity?

Wave Number given Wave Celerity calculator uses Wave Number = Wave Angular Frequency/Celerity of The Wave to calculate the Wave Number, The Wave Number given Wave Celerity formula is defined as the spatial frequency of wave, measured in cycles per unit distance or radians per unit distance. Wave Number is denoted by k symbol.

How to calculate Wave Number given Wave Celerity using this online calculator? To use this online calculator for Wave Number given Wave Celerity, enter Wave Angular Frequency (ω) & Celerity of The Wave (C) and hit the calculate button. Here is how the Wave Number given Wave Celerity calculation can be explained with given input values -> 0.257796 = 6.2/24.05.

FAQ

What is Wave Number given Wave Celerity?

The Wave Number given Wave Celerity formula is defined as the spatial frequency of wave, measured in cycles per unit distance or radians per unit distance and is represented as k = ω/C or Wave Number = Wave Angular Frequency/Celerity of The Wave. Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega) & Celerity of the Wave refers to the speed at which a wave propagates through a medium.

How to calculate Wave Number given Wave Celerity?

The Wave Number given Wave Celerity formula is defined as the spatial frequency of wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number = Wave Angular Frequency/Celerity of The Wave. To calculate Wave Number given Wave Celerity, you need Wave Angular Frequency (ω) & Celerity of The Wave (C). With our tool, you need to enter the respective value for Wave Angular Frequency & Celerity of The Wave 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 Wave Number?

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

Wave Number = 2*pi/Wavelength

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