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Conversion and calculation:
Time period, cycle duration, periodic time T to frequency f,
and frequency f to time period T
The only kinds of periods meant by people who use this phrase are periods of time, so it’s a redundancy. Simply say "time" or "period."
Fill out the gray box above and click at the calculation bar of the respective column.
| Physical value | symbol | unit | formula |
| Frequency | f = 1 / T | Hz = 1/s | f = c / λ |
| Wavelength | λ | m | λ = c / f |
| Time period or cycle duration |
T = 1 / f | s | T = λ / c |
| Wave speed | c | m/s | c = λ · f |
The unit hertz [Hz] was once called cycles per second [cps].
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Formulas and equations around frequency and wavelength
c = λ × f λ = c / f = c × T f = c / λ
Choose: Speed of sound in air c = 343 m/s at 20 °C or
speed of radio waves and light in a vacuum c = 299,792,458 m/s
ω = 2 π f
Conversion: Frequency to wavelength and vice versa
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