Radian Frequency of Waves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Angular Frequency = 2*pi/Wave Period
ω = 2*pi/T
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Wave Period - Wave Period is the time between successive peaks or troughs.
STEP 1: Convert Input(s) to Base Unit
Wave Period: 1.013 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = 2*pi/T --> 2*pi/1.013
Evaluating ... ...
ω = 6.20255212949614
STEP 3: Convert Result to Output's Unit
6.20255212949614 Radian per Second --> No Conversion Required
FINAL ANSWER
6.20255212949614 6.202552 Radian per Second <-- Wave Angular Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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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

Radian Frequency of Waves Formula

Wave Angular Frequency = 2*pi/Wave Period
ω = 2*pi/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 of Waves?

Radian Frequency of Waves calculator uses Wave Angular Frequency = 2*pi/Wave Period to calculate the Wave Angular Frequency, The Radian frequency of waves 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 of Waves using this online calculator? To use this online calculator for Radian Frequency of Waves, enter Wave Period (T) and hit the calculate button. Here is how the Radian Frequency of Waves calculation can be explained with given input values -> 6.10018 = 2*pi/1.013.

FAQ

What is Radian Frequency of Waves?
The Radian frequency of waves also known as radial or circular frequency, measures angular displacement per unit time and is represented as ω = 2*pi/T or Wave Angular Frequency = 2*pi/Wave Period. Wave Period is the time between successive peaks or troughs.
How to calculate Radian Frequency of Waves?
The Radian frequency of waves also known as radial or circular frequency, measures angular displacement per unit time is calculated using Wave Angular Frequency = 2*pi/Wave Period. To calculate Radian Frequency of Waves, you need Wave Period (T). With our tool, you need to enter the respective value for Wave Period 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 Wave Period. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Angular Frequency = sqrt([g]*Wave Number for Water Wave*tanh(Wave Number for Water Wave*Mean Depth))
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