Electronics · Free Calculator
Frequency to Period Calculator
Convert between frequency and period, and see the angular frequency and wavelength.
Hz to secondsPeriod to Hzω = 2πfWavelength
Period20 ms
Angular frequency ω314.16 rad/s
Wavelength in free space5,996 km
Half period10 ms
How this result was calculated
- T = 1 ÷ f = 1 ÷ 50 Hz = 20 ms
Advertisement
Frequency and Period
T = 1 ÷ f, f = 1 ÷ T
ω = 2πf
λ = c ÷ f (c = 299,792,458 m/s)
ω = 2πf
λ = c ÷ f (c = 299,792,458 m/s)
Worked example
50 Hz mains has a period of 20 ms. 1 MHz has a period of 1 µs and a free space wavelength of 300 m.
Key insight: on an oscilloscope, measuring one full period and inverting it is often more accurate than the automatic frequency readout on a noisy signal.
Advertisement
Frequently Asked Questions
How do I convert frequency to period?
Divide 1 by the frequency. 1 kHz has a period of 1 ms.
What is the period of 60 Hz?
16.67 ms.
What is angular frequency?
ω = 2πf in radians per second, used in reactance and filter equations.
You May Also Like
Learn more on the blog
Analog vs digital signals in instrumentation
A practical, field focused guide on instrumentationblog.in that explains the theory behind this calculator and how engineers apply it on real plants.
Read Full ArticleMore Electronics Calculators
SMD Resistor Code Calculator3 digit (472), 4 digit (1002)Capacitor Code Calculator3 digit code, Tolerance letterStandard Resistor Values Calculator (E Series)E6 and E12, E24 (5 %)Inductors in Series and Parallel CalculatorSeries, ParallelAir Core Coil Inductance CalculatorWheeler formula, Single layer coilResistor Power Rating CalculatorP = V²/R, P = I²RCurrent Divider CalculatorTwo or three branches, Branch currentWheatstone Bridge CalculatorBalance condition, Output voltageRC and RL Filter Cutoff Frequency CalculatorLow pass, High passRLC Circuit Impedance CalculatorSeries RLC, Parallel RLCLED Series and Parallel Array CalculatorLEDs per string, String resistorTransistor Base Resistor CalculatorBJT switch, SaturationInverting Op Amp Amplifier CalculatorGain = −Rf/Rin, Output voltageNon Inverting Op Amp Amplifier CalculatorGain = 1 + Rf/Rg, Output voltageOp Amp Differential Amplifier CalculatorVout = (R2/R1)(V2 − V1), Four resistorsOp Amp Summing Amplifier CalculatorOp amp adder, Weighted sumInstrumentation Amplifier Gain Resistor CalculatorAD620, AD8221, INA128, INA333Op Amp Gain Bandwidth and Slew Rate CalculatorGBW ÷ gain, Slew rate555 Timer Astable CalculatorFrequency, Duty cycle555 Timer Monostable Calculatort = 1.1 RC, One shotCrystal Load Capacitor CalculatorC1 = C2, Load capacitancePWM Duty Cycle CalculatorDuty cycle %, Average voltageLM317 Voltage Regulator CalculatorVout = 1.25(1 + R2/R1), R2 for targetZener Diode Series Resistor CalculatorSeries resistor, Zener powerLinear Regulator Power Dissipation CalculatorPower dissipation, Junction temperatureHeat Sink Thermal Resistance CalculatorθSA in °C/W, Junction temperatureBuck Converter CalculatorDuty cycle, Inductor valueBoost Converter CalculatorDuty cycle, Inductor valueRectifier Filter Capacitor CalculatorSmoothing capacitor, Ripple voltagePCB Trace Width Calculator (IPC 2221)IPC 2221, External and internalPCB Trace Resistance CalculatorCopper resistance, Voltage dropBinary, Decimal, Hex and Octal ConverterBinary, HexadecimalBattery Life Calculator for Electronic DevicesmAh capacity, Sleep currentdBm to Watts CalculatordBm to mW, Watts to dBmResistor Color Code Calculator4 band, 5 bandLED Resistor CalculatorSingle LEDVoltage Divider CalculatorOutput and resistor valuesResistors in Series and ParallelTotal resistanceOhm's Law CalculatorV, I, R and PRC Time Constant CalculatorCharge and dischargeReactance CalculatorXL and XCLC Resonant Frequency CalculatorTank circuitsCapacitors in Series and ParallelTotal capacitanceCapacitor Energy CalculatorJoules and chargeDecibel CalculatorPower and voltage ratiosADC Resolution CalculatorBits and LSB size
More Calculator Categories
Temperature Measurement15 live toolsInstrumentation Signal4 live toolsPLC Digital Signal3 live toolsFlow Measurement19 live toolsLevel Measurement12 live toolsPressure Measurement13 live toolsControl Valve12 live toolsCalibration10 live toolsSafety and SIL7 live toolsAnalytical8 live toolsElectrical37 live toolsUnit Converters76 converters, 700+ units