Period from Frequency Calculator
Convert frequency to period with T = 1/f. Enter the frequency in hertz to instantly find the time for one complete oscillation or wave cycle. Useful for AC circuits, pendulums, and waves.
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How to use this tool
- Enter frequency (f) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your period and the full breakdown beneath it.
Formula
T = 1 / f
How it works
The period is the reciprocal of frequency: T = 1/f.
Worked example
Common mistakes to avoid
- Entering frequency in kHz or MHz instead of Hz without converting — 1 kHz = 1000 Hz; failing to convert understates the period by a factor of 1000.
- Confusing period T (time for one cycle) with half-period — in AC circuit analysis, one full cycle spans a positive and negative half-cycle.
- Rounding frequency before computing T, then reporting T to many decimal places — rounding errors in f propagate into T; keep full precision until the final result.
Key terms
Frequently asked questions
- What is the period of standard mains electricity at 50 Hz?
- T = 1/50 = 0.02 seconds (20 milliseconds). At 60 Hz (North American standard), T = 1/60 approximately 16.67 ms.
- How does period relate to angular frequency?
- Angular frequency omega = 2*pi*f = 2*pi/T (in rad/s). It is used in equations for oscillating circuits, pendulums, and wave functions.
- Can I use this for sound waves?
- Yes. The period of a 440 Hz musical A note is T = 1/440 approximately 2.27 ms. Period describes the time between successive compressions in the sound wave.