Physics · Glossary

What is Frequency?

Also known as: hertz

Definition 62.1 Primary & Middle School Physics · Chapter 62 — Sound: Speed, Pitch, Loudness

The frequency ff of a vibration is the number of complete back-and-forth swings it makes each second. Its unit is the hertz (Hz\mathrm{Hz}): one swing per second — honoring the physicist who first made and caught invisible waves. A guitar string trembling 110110 times a second vibrates at 110Hz110\,\mathrm{Hz}; a mosquito’s wings, near 600Hz600\,\mathrm{Hz}; the slow flap of a big flag, a few hertz.

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Definition 8.3 High School Physics · Chapter 8 — Signals and Waves

The frequency of a periodic signal is the number of cycles per second:

f=1T.f = \frac{1}{T} .

Its unit, one cycle per second, is the hertz (Hz\mathrm{Hz}), with the usual multiples kHz\mathrm{kHz}, MHz\mathrm{MHz}, GHz\mathrm{GHz}.

Examples

Example 8.5 (Mains and concert pitch)

The mains voltage oscillates at f=50Hzf = 50\,\mathrm{Hz}: its period is T=1/f=0.020s=20msT = 1/f = 0.020\,\mathrm{s} = 20\,\mathrm{ms}. An orchestra’s concert A is a pressure signal at 440Hz440\,\mathrm{Hz}: one cycle lasts T=1/440=2.3msT = 1/440 = 2.3\,\mathrm{ms}. Higher frequency, shorter cycle: ff and TT are inverses of each other.

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