What is the relationship between period and frequency?

Period (T) and frequency (f) are reciprocals: T = 1/f and f = 1/T. If a wave oscillates 50 times per second (50 Hz), its period is 1/50 = 0.02 seconds (20 ms).

What units does this calculator support?

Frequency: mHz, Hz, kHz, MHz, GHz. Period: ns, us (microseconds), ms, s. All inputs are converted to base SI units internally before calculating.

Does this apply to all types of waves?

Yes. The T = 1/f formula applies to any periodic wave: electromagnetic (light, radio, X-ray), mechanical (sound, water), and electrical signals. The physics is universal.

What is the period of a 60 Hz power line?

A 60 Hz power signal has a period of 1/60 ≈ 0.01667 seconds, or about 16.67 milliseconds. You can verify this by entering 60 in the frequency field with Hz selected.

What is angular frequency and does this tool calculate it?

Angular frequency (omega) equals 2π × f. This tool focuses on ordinary frequency f and period T. The result panel also shows angular frequency (rad/s) as a bonus.

Wave Period Calculator

Convert between wave period and frequency instantly using the fundamental relationship T = 1/f.

Input

Frequency

Quick Examples

Results

Enter a value and click Calculate

Period

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Unit	Value

Angular Frequency (ω) —

Summary

Wave period and frequency are inversely related: T = 1/f. This calculator converts between the two quantities instantly, supporting a wide range of units from nanoseconds to seconds and from GHz down to mHz. It is useful for any wave phenomenon — light, sound, radio, or mechanical waves.

How it works

Select whether you want to calculate Period from Frequency, or Frequency from Period.
Enter the known value in the input field.
Choose the appropriate unit from the dropdown (Hz, kHz, MHz, GHz for frequency; s, ms, us, ns for period).
The result is calculated instantly and displayed with the equivalent in multiple units.
Use the Copy button to copy the result to your clipboard.

Use cases

Convert radio or microwave signal frequencies to their corresponding periods.
Determine the oscillation period of a pendulum or spring-mass system.
Calculate audio wave periods for sound engineering and acoustics.
Convert between time and frequency domains in signal processing.
Determine light wave periods from optical frequencies.
Check clock signal periods in digital electronics and microcontrollers.
Solve physics homework problems involving wave motion.
Convert between measurement units during laboratory experiments.

Frequently Asked Questions

Last updated: 2026-09-30 · Reviewed by Nham Vu