OctaCalc / Frequency & Period Calculator

Frequency & Period Calculator

Convert between frequency and period in any unit. Enter a frequency (Hz or kHz) or a period (µs, ms, or s) and the other value calculates instantly.

How to Use This Calculator

Type a value into any field — frequency in Hz, kHz, or period in µs, ms, or seconds — and all other fields update automatically. Use this to convert between signal domains or to find the period of an oscillator running at a known frequency.

Formula

T = 1 / f
f = 1 / T
ω = 2π × f

T = period (seconds), f = frequency (Hz), ω = angular frequency (radians/second).

Example

Mains electricity: 50 Hz
T = 1 / 50 = 20 ms

PWM signal: T = 50 µs
f = 1 / 0.000050 = 20 kHz

Frequently Asked Questions

What is the period of a 50 Hz signal?
T = 1 / 50 = 20 milliseconds. This is the period of mains electricity in Europe, the UK, and most of Asia.

What is the relationship between frequency and period?
They are exact reciprocals: f = 1/T and T = 1/f. Doubling the frequency halves the period, and vice versa.

What is angular frequency?
Angular frequency ω = 2πf expresses how many radians per second the waveform completes. It is used in impedance calculations (XL = ωL for inductors, XC = 1/ωC for capacitors).

What is the period of a 1 MHz signal?
T = 1 / 1,000,000 = 1 microsecond (1 µs). Microcontroller clock cycles at MHz speeds operate in this range.