Angular Frequency using Time Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Frequency = (2*pi)/Time Period of Progressive Wave
ωf = (2*pi)/Tw
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Time Period of Progressive Wave - (Measured in Second) - Time period of progressive wave is the time taken by a wave to complete one oscillation.
STEP 1: Convert Input(s) to Base Unit
Time Period of Progressive Wave: 2.6 Second --> 2.6 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωf = (2*pi)/Tw --> (2*pi)/2.6
Evaluating ... ...
ωf = 2.41660973353061
STEP 3: Convert Result to Output's Unit
2.41660973353061 Hertz --> No Conversion Required
FINAL ANSWER
2.41660973353061 2.41661 Hertz <-- Angular Frequency
(Calculation completed in 00.020 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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4 Angular Frequency Calculators

Angular Frequency given Velocity
Go Angular Frequency = (2*pi*Velocity of Wave)/Wavelength
Angular Frequency using Time Period
Go Angular Frequency = (2*pi)/Time Period of Progressive Wave
Angular Frequency using Wave Number
Go Angular Frequency = Wave Number*Velocity of Wave
Angular Frequency using Frequency
Go Angular Frequency = 2*pi*Wave Frequency

Angular Frequency using Time Period Formula

Angular Frequency = (2*pi)/Time Period of Progressive Wave
ωf = (2*pi)/Tw

What is sound?

A sound is a vibration that propagates through a medium in the form of a mechanical wave. The medium in which it propagates can either be a solid, a liquid or a gas.

How to Calculate Angular Frequency using Time Period?

Angular Frequency using Time Period calculator uses Angular Frequency = (2*pi)/Time Period of Progressive Wave to calculate the Angular Frequency, Angular Frequency using Time Period is the number of radians covered by the system in one second. it is denoted by w. Angular Frequency is denoted by ωf symbol.

How to calculate Angular Frequency using Time Period using this online calculator? To use this online calculator for Angular Frequency using Time Period, enter Time Period of Progressive Wave (Tw) and hit the calculate button. Here is how the Angular Frequency using Time Period calculation can be explained with given input values -> 2.41661 = (2*pi)/2.6.

FAQ

What is Angular Frequency using Time Period?
Angular Frequency using Time Period is the number of radians covered by the system in one second. it is denoted by w and is represented as ωf = (2*pi)/Tw or Angular Frequency = (2*pi)/Time Period of Progressive Wave. Time period of progressive wave is the time taken by a wave to complete one oscillation.
How to calculate Angular Frequency using Time Period?
Angular Frequency using Time Period is the number of radians covered by the system in one second. it is denoted by w is calculated using Angular Frequency = (2*pi)/Time Period of Progressive Wave. To calculate Angular Frequency using Time Period, you need Time Period of Progressive Wave (Tw). With our tool, you need to enter the respective value for Time Period of Progressive Wave 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 Angular Frequency?
In this formula, Angular Frequency uses Time Period of Progressive Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Angular Frequency = 2*pi*Wave Frequency
  • Angular Frequency = Wave Number*Velocity of Wave
  • Angular Frequency = (2*pi*Velocity of Wave)/Wavelength
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