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)

Credits

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Created by tharun
vellore institute of technology (vitap university), amaravati
tharun has created this Calculator and 6 more calculators!
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Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
Ritwik Tripathi has verified this Calculator and 100+ more calculators!

15 Continuous Time Signals Calculators

Current for Loaded Admittance
​ Go Current for Loaded Admittance = Current for Internal Admittance*Loaded Admittance/(Internal Admittance+Loaded Admittance)
Open Loop Gain of Signal
​ Go Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)
Damping Co-efficient
​ Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)
Voltage for Loaded Admittance
​ Go Voltage of Loaded Admittance = Current for Internal Admittance/(Internal Admittance+Loaded Admittance)
Damping Co-efficient in State-Space Form
​ Go Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)
Resistance with respect to Damping Coefficient
​ Go Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)
Coupling Co-efficient
​ Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)
Natural Frequency
​ Go Natural Frequency = sqrt(Input Frequency*High Frequency)
Periodic Signal of Time Fourier
​ Go Periodic Signal = sin((2*pi)/Time Periodic Signal)
Output of Time Invariant Signal
​ Go Time Invariant Output Signal = Time Invariant Input Signal*Impulse Response
Transfer Function
​ Go Transfer Function = Output Signal/Input Signal
Angular Frequency of Signal
​ Go Angular Frequency = 2*pi/Time Period
Time Period of Signal
​ Go Time Period = 2*pi/Angular Frequency
Frequency of Signal
​ Go Frequency = 2*pi/Angular Frequency
Inverse of System Function
​ Go Inverse System Function = 1/System Function

Time Period of Signal Formula

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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