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Time Period of Signal Formula

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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. Check FAQs

T = 2 \cdot \frac{π}{ω}

T - Time Period?ω - Angular Frequency?π - Archimedes' constant?

Time Period of Signal Example

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Here is how the Time Period of Signal equation looks like with Values.

Here is how the Time Period of Signal equation looks like with Units.

Here is how the Time Period of Signal equation looks like.

3.1416 = 2 \cdot \frac{3.1416}{2}

3.1416s = 2 \cdot \frac{3.1416}{2Hz}

3.1416 = 2 \cdot \frac{3.1416}{2}

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Time Period of Signal Solution

Follow our step by step solution on how to calculate Time Period of Signal?

FIRST Step Consider the formula

T = 2 \cdot \frac{π}{ω}

Next Step Substitute values of Variables

∴

T = 2 \cdot \frac{π}{2Hz}

Next Step Substitute values of Constants

∴

T = 2 \cdot \frac{3.1416}{2Hz}

Next Step Prepare to Evaluate

∴

T = 2 \cdot \frac{3.1416}{2}

Next Step Evaluate

∴

T = 3.14159265358979s

LAST Step Rounding Answer

∴

T = 3.1416s

Time Period of Signal Formula Elements

Variables

Constants

Time Period

The Time Period of a periodic signal is the amount of time it takes for one complete cycle of the signal to occur.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

Angular Frequency

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

Symbol: ω

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Continuous Time Signals category

Go Transfer Function

H = \frac{S out}{S in}

Go Natural Frequency

f n = \sqrt{f in \cdot f h}

Go Damping Co-efficient

ζ = \frac{1}{2 \cdot A o} \cdot \sqrt{\frac{f in}{f h}}

Go Coupling Co-efficient

γ = \frac{C o}{C + C o}

How to Evaluate Time Period of Signal?

Time Period of Signal evaluator uses Time Period = 2*pi/Angular Frequency to evaluate 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 evaluate Time Period of Signal using this online evaluator? To use this online evaluator for Time Period of Signal, enter Angular Frequency (ω) and hit the calculate button.

FAQs on Time Period of Signal

What is the formula to find Time Period of Signal?

The formula of Time Period of Signal is expressed as Time Period = 2*pi/Angular Frequency. Here is an example- 3.141593 = 2*pi/2.

How to calculate Time Period of Signal?

With Angular Frequency (ω) we can find Time Period of Signal using the formula - Time Period = 2*pi/Angular Frequency. This formula also uses Archimedes' constant .

Can the Time Period of Signal be negative?

No, the Time Period of Signal, measured in Time cannot be negative.

Which unit is used to measure Time Period of Signal?

Time Period of Signal is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period of Signal can be measured.

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