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 angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
Celerity of The Wave - (Measured in Meter per Second) - Celerity of the Wave is The speed at which an individual wave advances or “propagates”.
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)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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, Wave Number given Wave Celerity is 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?
Wave Number given Wave Celerity is 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 angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second & Celerity of the Wave is The speed at which an individual wave advances or “propagates”.
How to calculate Wave Number given Wave Celerity?
Wave Number given Wave Celerity is 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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