Frequency using Time Period Calculator

✖Time period is defined as the time taken by an alternating wave to complete one cycle.ⓘ Time Period [T]

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✖Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.ⓘ Frequency using Time Period [ω_n]

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Formula

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Frequency using Time Period

Formula

`"ω"_{"n"} = 1/(2*pi*"T")`

Example

`"0.050207Hz"=1/(2*pi*"3.17")`

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Frequency using Time Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Frequency = 1/(2*pi*Time Period)
ω_n = 1/(2*pi*T)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Natural Frequency - (Measured in Hertz) - Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.
Time Period - Time period is defined as the time taken by an alternating wave to complete one cycle.

STEP 1: Convert Input(s) to Base Unit

Time Period: 3.17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_n = 1/(2*pi*T) --> 1/(2*pi*3.17)

Evaluating ... ...

ω_n = 0.0502066066535947

STEP 3: Convert Result to Output's Unit

0.0502066066535947 Hertz --> No Conversion Required

FINAL ANSWER

0.0502066066535947 ≈ 0.050207 Hertz <-- Natural Frequency

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 3 Frequency Calculators

Resonant Frequency for RLC circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Cut Off Frequency for RC circuit

Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)

Frequency using Time Period

Go Natural Frequency = 1/(2*pi*Time Period)

< 25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor

Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))

Line to Neutral Current using Reactive Power

Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))

RMS Current using Reactive Power

Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))

Line to Neutral Current using Real Power

Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)

RMS Current using Real Power

Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))

Resistance for Parallel RLC Circuit using Q Factor

Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))

Resonant Frequency for RLC circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Electric Current using Reactive Power

Go Current = Reactive Power/(Voltage*sin(Phase Difference))

Electric Current using Real Power

Go Current = Real Power/(Voltage*cos(Phase Difference))

Power in Single-Phase AC Circuits

Go Real Power = Voltage*Current*cos(Phase Difference)

Inductance for Parallel RLC Circuit using Q Factor

Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)

Capacitance for Parallel RLC Circuit using Q Factor

Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Inductance for Series RLC Circuit given Q Factor

Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2

Capacitance given Cut off Frequency

Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Cut Off Frequency for RC circuit

Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)

Complex Power

Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

Complex Power given Power Factor

Go Complex Power = Real Power/cos(Phase Difference)

Current using Power Factor

Go Current = Real Power/(Power Factor*Voltage)

Current using Complex Power

Go Current = sqrt(Complex Power/Impedance)

Frequency using Time Period

Go Natural Frequency = 1/(2*pi*Time Period)

Capacitance using Time Constant

Go Capacitance = Time Constant/Resistance

Resistance using Time Constant

Go Resistance = Time Constant/Capacitance

Impedance given Complex Power and Voltage

Go Impedance = (Voltage^2)/Complex Power

Impedance given Complex Power and Current

Go Impedance = Complex Power/(Current^2)

Frequency using Time Period Formula

Natural Frequency = 1/(2*pi*Time Period)
ω_n = 1/(2*pi*T)

What is time constant τ in RLC circuit?

The time constant for the RLC circuit when the capacitance is given is the time after which the voltage across a capacitor reaches its maximum value if the initial rate of rising of voltage is maintained.

How to Calculate Frequency using Time Period?

Frequency using Time Period calculator uses Natural Frequency = 1/(2*pi*Time Period) to calculate the Natural Frequency, Frequency using Time Period repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times. Natural Frequency is denoted by ω_n symbol.

How to calculate Frequency using Time Period using this online calculator? To use this online calculator for Frequency using Time Period, enter Time Period (T) and hit the calculate button. Here is how the Frequency using Time Period calculation can be explained with given input values -> 0.050207 = 1/(2*pi*3.17).

FAQ

What is Frequency using Time Period?

Frequency using Time Period repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times and is represented as ω_n = 1/(2*pi*T) or Natural Frequency = 1/(2*pi*Time Period). Time period is defined as the time taken by an alternating wave to complete one cycle.

How to calculate Frequency using Time Period?

Frequency using Time Period repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times is calculated using Natural Frequency = 1/(2*pi*Time Period). To calculate Frequency using Time Period, you need Time Period (T). With our tool, you need to enter the respective value for Time Period 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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