Radian Frequency given Wave Celerity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Angular Frequency = Celerity of The Wave*Wave Number
ω = C*k
This formula uses 3 Variables
Variables Used
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”.
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
Celerity of The Wave: 24.05 Meter per Second --> 24.05 Meter per Second No Conversion Required
Wave Number: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = C*k --> 24.05*0.2
Evaluating ... ...
ω = 4.81
STEP 3: Convert Result to Output's Unit
4.81 Radian per Second --> No Conversion Required
FINAL ANSWER
4.81 Radian per Second <-- Wave Angular Frequency
(Calculation completed in 00.020 seconds)

Credits

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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

Radian Frequency given Wave Celerity Formula

Wave Angular Frequency = Celerity of The Wave*Wave Number
ω = C*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 Radian Frequency given Wave Celerity?

Radian Frequency given Wave Celerity calculator uses Wave Angular Frequency = Celerity of The Wave*Wave Number to calculate the Wave Angular Frequency, Radian Frequency given Wave Celerity refers to angular displacement per unit time or rate of change of phase of waveform. Wave Angular Frequency is denoted by ω symbol.

How to calculate Radian Frequency given Wave Celerity using this online calculator? To use this online calculator for Radian Frequency given Wave Celerity, enter Celerity of The Wave (C) & Wave Number (k) and hit the calculate button. Here is how the Radian Frequency given Wave Celerity calculation can be explained with given input values -> 4.81 = 24.05*0.2.

FAQ

What is Radian Frequency given Wave Celerity?
Radian Frequency given Wave Celerity refers to angular displacement per unit time or rate of change of phase of waveform and is represented as ω = C*k or Wave Angular Frequency = Celerity of The Wave*Wave Number. Celerity of the Wave is The speed at which an individual wave advances or “propagates” & Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
How to calculate Radian Frequency given Wave Celerity?
Radian Frequency given Wave Celerity refers to angular displacement per unit time or rate of change of phase of waveform is calculated using Wave Angular Frequency = Celerity of The Wave*Wave Number. To calculate Radian Frequency given Wave Celerity, you need Celerity of The Wave (C) & Wave Number (k). With our tool, you need to enter the respective value for Celerity of The Wave & 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 Wave Angular Frequency?
In this formula, Wave Angular Frequency uses Celerity of The Wave & Wave Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Angular Frequency = 2*pi/Wave Period
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