Frequency ↔ Period

Convert between frequency and period instantly. Supports common units, show-work steps, and share links.

How to Use

  1. Enter a value in either Frequency or Period.
  2. Select the unit (Hz/kHz/MHz/GHz or s/ms/µs/ns).
  3. The tool converts instantly using T = 1/f and f = 1/T.
  4. Open “Show Work” to see unit normalization and steps.
Signal Timing Snapshot
A quick “what does this mean?” view for oscillators, PWM, and audio.
f
—
T
—
ω
—
RPM
—
Range: —
Period T (seconds) is one cycle Frequency f (Hz) is cycles per second
Inputs
Enter Frequency or Period. The other value updates instantly.
Examples: 60 Hz (mains), 440 Hz (A4), 1 kHz (tone)
Examples: 16.67 ms (60 Hz), 1 ms (1 kHz)
Show Work (step-by-step)
—
Work is shown in base units: Hz and seconds. Conversions are applied before/after the core formula.

Reference

Core formulas:

  • Period from frequency: T = 1 / f
  • Frequency from period: f = 1 / T
  • Angular frequency: ω = 2πf
  • RPM from Hz: RPM = 60f
Where f is in Hz, T is in seconds, ω is in rad/s.

FAQ

What is “period” in plain terms?

Period is the time for one full cycle of a repeating signal (one oscillation).

Why does 60 Hz equal ~16.67 ms?

Because T = 1/f → 1/60 ≈ 0.016666… s = 16.67 ms.

What’s the difference between Hz and rad/s?

Hz counts cycles per second. rad/s uses angular measure: ω = 2πf.

Does this work for PWM frequency?

Yes — PWM period is still T = 1/f. Duty cycle affects pulse width, not frequency.

Tool Info

Last updated:

Updates may include unit handling improvements, validation edge cases, and UX polish.