Try it

T = 0.02 sTime: 0 to 0.1 s

Repeats happen back to back, each one lasting one period. Axis rescales by decade.

Period20 ms

Understand the result

What's going on

Anything that repeats has two natural ways to describe it: how often it happens (frequency) or how long one repeat takes (period). They’re not two different measurements - they're the same fact turned inside out.

The formula

T = 1 / f

f = 1 / T

Show the derivation, mnemonic, and worked example

Build it up

If something happens 50 times a second, one occurrence takes 1/50th of a second - flip the frequency over and you get the period. Run it the other way: if one cycle takes 0.02 seconds, then 1/0.02 = 50 cycles fit into a second. Whichever one you have, dividing 1 by it gets you the other.

Worked example

Worked example

f = 50 Hz (mains power)

T = 1 ÷ 50

T = 0.02 s = 20 ms