Wave Period given Radian Frequency of Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Period of Wave = (2*pi)/Wave Angular Frequency
T = (2*pi)/ω
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Period of Wave - (Measured in Meter per Second) - Period of Wave is the time it takes for one complete cycle of the wave to pass a given point.
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).
STEP 1: Convert Input(s) to Base Unit
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (2*pi)/ω --> (2*pi)/6.2
Evaluating ... ...
T = 1.01341698502897
STEP 3: Convert Result to Output's Unit
1.01341698502897 Meter per Second --> No Conversion Required
FINAL ANSWER
1.01341698502897 1.013417 Meter per Second <-- Period of Wave
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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16 Wave Period Calculators

Wave period for horizontal fluid particle displacements
​ Go Wave Period for Horizontal Fluid Particle = sqrt(4*pi*Wavelength*cosh(2*pi*Water Depth/(Wavelength)/Wave Height*[g]*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))-(Fluid Particle Displacements))
Wave Period given Wavelength and Water Depth
​ Go Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5
Wave Period given Wave Celerity and Wavelength
​ Go Coastal Wave Period = (Celerity of the Wave*2*pi)/([g]*tanh(2*pi*Water Depth/Wavelength))
Wave period given wave depth and wavelength
​ Go Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth)
Wave Period for Known Deepwater Celerity
​ Go Coastal Wave Period = (Celerity of the Wave*2*pi)/[g]
Wave Period given Deepwater Wavelength of SI Systems Units of Meters and Seconds
​ Go Period of Wave = sqrt(Deep-Water Wavelength/1.56)
Wave Period given Deepwater Wavelength of Units of Meters and Seconds
​ Go Period of Wave = sqrt(Deep-Water Wavelength/5.12)
Wave Period given Radian Frequency of Wave
​ Go Period of Wave = (2*pi)/Wave Angular Frequency
Wave Period given Wave Celerity
​ Go Period of Wave = Wavelength/Celerity of the Wave
Wave Period for North Sea
​ Go Wave Period in North Sea = 3.94*Significant Wave Height^0.376
Wave Period given Deepwater Celerity of SI systems Units of Meters and Seconds
​ Go Coastal Wave Period = Celerity of the Wave/1.56
Wave Period for Mediterranean Sea
​ Go Coastal Wave Period = 4+2*(Wave Height)^0.7
Wave Period given Deepwater Celerity of Units of Meters and Seconds
​ Go Period of Wave = Celerity of the Wave/5.12
Average Period for Wave Period of Same Energy as Irregular Train
​ Go Average Time = Coastal Wave Period/1.23
Wave Period of same Energy
​ Go Coastal Wave Period = 1.23*Average Time
Wave Period for North Atlantic Ocean
​ Go Coastal Wave Period = 2.5*Wave Height

Wave Period given Radian Frequency of Wave Formula

Period of Wave = (2*pi)/Wave Angular Frequency
T = (2*pi)/ω

What are Water waves ?

Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period. The linear theory represents pure oscillatory waves.

How to Calculate Wave Period given Radian Frequency of Wave?

Wave Period given Radian Frequency of Wave calculator uses Period of Wave = (2*pi)/Wave Angular Frequency to calculate the Period of Wave, The Wave Period given Radian Frequency of Wave formula is defined as the distance between two waves passing through stationary point, measured in seconds. Period of Wave is denoted by T symbol.

How to calculate Wave Period given Radian Frequency of Wave using this online calculator? To use this online calculator for Wave Period given Radian Frequency of Wave, enter Wave Angular Frequency (ω) and hit the calculate button. Here is how the Wave Period given Radian Frequency of Wave calculation can be explained with given input values -> 1.013417 = (2*pi)/6.2.

FAQ

What is Wave Period given Radian Frequency of Wave?
The Wave Period given Radian Frequency of Wave formula is defined as the distance between two waves passing through stationary point, measured in seconds and is represented as T = (2*pi)/ω or Period of Wave = (2*pi)/Wave Angular Frequency. Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).
How to calculate Wave Period given Radian Frequency of Wave?
The Wave Period given Radian Frequency of Wave formula is defined as the distance between two waves passing through stationary point, measured in seconds is calculated using Period of Wave = (2*pi)/Wave Angular Frequency. To calculate Wave Period given Radian Frequency of Wave, you need Wave Angular Frequency (ω). With our tool, you need to enter the respective value for Wave Angular Frequency 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 Period of Wave?
In this formula, Period of Wave uses Wave Angular Frequency. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Period of Wave = Wavelength/Celerity of the Wave
  • Period of Wave = sqrt(Deep-Water Wavelength/1.56)
  • Period of Wave = Celerity of the Wave/5.12
  • Period of Wave = sqrt(Deep-Water Wavelength/5.12)
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