Wave Period given Radian Frequency of Wave Calculator

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

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✖Period of Wave is the time it takes for one complete cycle of the wave to pass a given point.ⓘ Wave Period given Radian Frequency of Wave [T]

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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 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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 3 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

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