Radian Frequency given Wave Period Calculator

✖Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).ⓘ Radian Frequency given Wave Period [ω]

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Formula

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Radian Frequency given Wave Period

Formula

`"ω" = 1/"T'"`

Example

`"0.384615rad/s"=1/"2.6s"`

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Radian Frequency given Wave Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Angular Frequency = 1/Mean Wave Period
ω = 1/T'
This formula uses 2 Variables

Variables Used

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).
Mean Wave Period - (Measured in Second) - Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.

STEP 1: Convert Input(s) to Base Unit

Mean Wave Period: 2.6 Second --> 2.6 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = 1/T' --> 1/2.6

Evaluating ... ...

ω = 0.384615384615385

STEP 3: Convert Result to Output's Unit

0.384615384615385 Radian per Second --> No Conversion Required

FINAL ANSWER

0.384615384615385 ≈ 0.384615 Radian per Second <-- Wave Angular Frequency

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Radian Frequency given Wave Period

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 16 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Elevation of Water Surface = (Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 1)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 2)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 2))

Phase Angle for Total or Absolute Pressure

Go Phase Angle = acos((Absolute Pressure+(Mass Density*[g]*Seabed Elevation)-(Atmospheric Pressure))/((Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))/(2*cosh(2*pi*Water Depth/Wavelength))))

Atmospheric Pressure given Total or Absolute Pressure

Go Atmospheric pressure = Absolute pressure-(Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))+(Mass Density*[g]*Seabed Elevation)

Total or Absolute Pressure

Go Absolute pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)/2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)+Atmospheric Pressure

Dynamic Component due to Acceleration from Absolute Pressure Equation

Go Dynamic Component due to Acceleration = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))

Height of Surface Waves based on Subsurface Measurements

Go Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor)

Correction Factor given Height of Surface Waves based on Subsurface Measurements

Go Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))

Depth below SWL of Pressure Gauge

Go Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]

Friction Velocity given Dimensionless Time

Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time

Water Surface Elevation

Go Elevation of Water Surface = (Wave Height/2)*cos(Phase Angle)

Wave celerity for shallow water given water depth

Go Celerity of the Wave = sqrt([g]*Water Depth)

Atmospheric Pressure given Gauge Pressure

Go Atmospheric Pressure = Absolute Pressure-Gauge Pressure

Total Pressure given Gauge Pressure

Go Total Pressure = Gauge Pressure+Atmospheric Pressure

Water Depth given Wave Celerity for Shallow Water

Go Water Depth = (Celerity of the Wave^2)/[g]

Radian Frequency given Wave Period

Go Wave Angular Frequency = 1/Mean Wave Period

Wave Period given average Frequency

Go Wave Period = 1/Wave Angular Frequency

Radian Frequency given Wave Period Formula

Wave Angular Frequency = 1/Mean Wave Period
ω = 1/T'

What is Wave Period?

The Wave Period is the time it takes to complete one cycle. The standard unit of a wave period is in seconds, and it is inversely proportional to the frequency of a wave, which is the number of cycles of waves that occur in one second. In other words, the higher the frequency of a wave, the lower the wave period.

How to Calculate Radian Frequency given Wave Period?

Radian Frequency given Wave Period calculator uses Wave Angular Frequency = 1/Mean Wave Period to calculate the Wave Angular Frequency, The Radian Frequency given Wave Period also known as radial or circular frequency, measures angular displacement per unit time. Wave Angular Frequency is denoted by ω symbol.

How to calculate Radian Frequency given Wave Period using this online calculator? To use this online calculator for Radian Frequency given Wave Period, enter Mean Wave Period (T') and hit the calculate button. Here is how the Radian Frequency given Wave Period calculation can be explained with given input values -> 0.384615 = 1/2.6.

FAQ

What is Radian Frequency given Wave Period?

The Radian Frequency given Wave Period also known as radial or circular frequency, measures angular displacement per unit time and is represented as ω = 1/T' or Wave Angular Frequency = 1/Mean Wave Period. Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.

How to calculate Radian Frequency given Wave Period?

The Radian Frequency given Wave Period also known as radial or circular frequency, measures angular displacement per unit time is calculated using Wave Angular Frequency = 1/Mean Wave Period. To calculate Radian Frequency given Wave Period, you need Mean Wave Period (T'). With our tool, you need to enter the respective value for Mean Wave Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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