Wave period given radian frequency of waves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Period = 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
Wave Period - Wave Period is the time between successive peaks or troughs.
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.
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 --> No Conversion Required
FINAL ANSWER
1.01341698502897 1.013417 <-- Wave Period
(Calculation completed in 00.020 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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12 Linear Dispersion Relation of Linear Wave Calculators

Velocity of Propagation in Linear Dispersion Relation given Wavelength
Go Velocity of Propagation = sqrt(([g]*Mean Depth*tanh(2*pi*Mean Depth/Deep-Water Wavelength))/(2*pi*Mean Depth/Deep-Water Wavelength))
Guo Formula of Linear Dispersion Relation for Wave Number
Go Wave Number for Water Wave = ((Wave Angular Frequency^2*Mean Depth)/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Mean Depth/[g])^(5/2))^(-2/5)))/Mean Depth
Guo Formula of Linear Dispersion Relation
Go Linear Dispersion Relation = (Wave Angular Frequency^2*Mean Depth/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Mean Depth/[g])^(5/2))^(-2/5)))
Velocity of Propagation in Linear Dispersion Relation
Go Velocity of Propagation = sqrt(([g]*Mean Depth*tanh(Wave Number for Water Wave*Mean Depth))/(Wave Number for Water Wave*Mean Depth))
Wave Number of Convenient Empirical Explicit Approximation
Go Wave Number for Water Wave = (Wave Angular Frequency^2/[g])*(coth((Wave Angular Frequency*sqrt(Mean Depth/[g])^(3/2))^(2/3)))
Radian Frequency of Wave
Go Wave Angular Frequency = sqrt([g]*Wave Number for Water Wave*tanh(Wave Number for Water Wave*Mean Depth))
Dimensionless Wave Speed
Go Wave Speed = Velocity of Propagation/sqrt([g]*Mean Depth)
Wave Number for Steady Two-dimensional Waves
Go Wave Number for Water Wave = (2*pi)/Deep-Water Wavelength
Wavelength given wave number
Go Deep-Water Wavelength = (2*pi)/Wave Number for Water Wave
Relative Wavelength
Go Relative Wavelength = Deep-Water Wavelength/Mean Depth
Wave period given radian frequency of waves
Go Wave Period = 2*pi/Wave Angular Frequency
Radian Frequency of Waves
Go Wave Angular Frequency = 2*pi/Wave Period

Wave period given radian frequency of waves Formula

Wave Period = 2*pi/Wave Angular Frequency
T = 2*pi/ω

What is Wave Number?

the Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance

How to Calculate Wave period given radian frequency of waves?

Wave period given radian frequency of waves calculator uses Wave Period = 2*pi/Wave Angular Frequency to calculate the Wave Period, Wave period given radian frequency of waves is time it takes to complete one cycle. standard unit of wave period is in seconds. Wave Period is denoted by T symbol.

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

FAQ

What is Wave period given radian frequency of waves?
Wave period given radian frequency of waves is time it takes to complete one cycle. standard unit of wave period is in seconds and is represented as T = 2*pi/ω or Wave Period = 2*pi/Wave Angular Frequency. Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
How to calculate Wave period given radian frequency of waves?
Wave period given radian frequency of waves is time it takes to complete one cycle. standard unit of wave period is in seconds is calculated using Wave Period = 2*pi/Wave Angular Frequency. To calculate Wave period given radian frequency of waves, 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.
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