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Time Period of Signal Calculator

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Continuous Time Signals Discrete Time Signals

✖The Angular Frequency is a frequency at which a system tends to oscillate in the absence of any driving force.ⓘ Angular Frequency [ω]

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✖The Time Period of a periodic signal is the amount of time it takes for one complete cycle of the signal to occur.ⓘ Time Period of Signal [T]

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Time Period of Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period = 2*pi/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

Time Period - (Measured in Second) - The Time Period of a periodic signal is the amount of time it takes for one complete cycle of the signal to occur.
Angular Frequency - (Measured in Hertz) - The Angular Frequency is a frequency at which a system tends to oscillate in the absence of any driving force.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 2 Hertz --> 2 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = 2*pi/ω --> 2*pi/2

Evaluating ... ...

T = 3.14159265358979

STEP 3: Convert Result to Output's Unit

3.14159265358979 Second --> No Conversion Required

FINAL ANSWER

3.14159265358979 ≈ 3.141593 Second <-- Time Period

(Calculation completed in 00.004 seconds)

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Created by tharun

vellore institute of technology (vitap university), amaravati

tharun has created this Calculator and 6 more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

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< Continuous Time Signals Calculators

Damping Co-efficient

LaTeX Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)

Coupling Co-efficient

LaTeX Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)

Natural Frequency

LaTeX Go Natural Frequency = sqrt(Input Frequency*High Frequency)

Transfer Function

LaTeX Go Transfer Function = Output Signal/Input Signal

Time Period of Signal Formula

LaTeX Go

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

Can you explain the significance of 2π in the formula t=2π/ω ?

The term 2π in the formula is a constant derived from the geometry of circles. It ensures that the relationship between time period (t) and frequency (ω ) is in radians and cycles per unit time, providing a natural unit conversion for oscillatory phenomena.

How to Calculate Time Period of Signal?

Time Period of Signal calculator uses Time Period = 2*pi/Angular Frequency to calculate the Time Period, The Time Period of Signal formula is defined as the relationship between the time period (t) and frequency (f) of a periodic signal. It states that the time it takes for one complete cycle of a signal (t) is inversely proportional to its frequency (f). Time Period is denoted by T symbol.

How to calculate Time Period of Signal using this online calculator? To use this online calculator for Time Period of Signal, enter Angular Frequency (ω) and hit the calculate button. Here is how the Time Period of Signal calculation can be explained with given input values -> 3.141593 = 2*pi/2.

FAQ

What is Time Period of Signal?

The Time Period of Signal formula is defined as the relationship between the time period (t) and frequency (f) of a periodic signal. It states that the time it takes for one complete cycle of a signal (t) is inversely proportional to its frequency (f) and is represented as T = 2*pi/ω or Time Period = 2*pi/Angular Frequency. The Angular Frequency is a frequency at which a system tends to oscillate in the absence of any driving force.

How to calculate Time Period of Signal?

The Time Period of Signal formula is defined as the relationship between the time period (t) and frequency (f) of a periodic signal. It states that the time it takes for one complete cycle of a signal (t) is inversely proportional to its frequency (f) is calculated using Time Period = 2*pi/Angular Frequency. To calculate Time Period of Signal, you need Angular Frequency (ω). With our tool, you need to enter the respective value for 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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