Period-Frequency Relation

Also known as T = 1/f · frequency from period

T = \frac{1}{f}

T =

f =

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

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Period and frequency are two views of the same rhythm: T counts the seconds per cycle, f counts the cycles per second, and each is the reciprocal of the other. North American mains electricity alternates at 60 Hz, so one full cycle takes 1/60 s ≈ 16.7 ms — the source of the familiar 60 Hz hum in audio gear.

Period-Frequency Relation

T = \frac{1}{f}

Where

$T$ = Period
$f$ = Frequency

Missing one of these? Work it out first, then come back

Period — Angular Velocity from Period, Simple Pendulum Period
Frequency — Wave Speed (v = fλ), Inductive Reactance (X_L = 2πfL)

Part of this formula set

The wave equations and harmonics

7 formulasWave speed, period and frequency, the speed of a wave on a string, and the harmonic series for strings and pipes that decides what note you hear.