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Lesson 25 · Anatomy of a wave
Four numbers own every wave
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Four numbers own every wave

Every wave that will ever appear on your paper is described by four numbers. Wavelength λ\lambda (said lambda) runs ALONG the wave — metres from one crest to the next. Amplitude stands ACROSS it — metres from rest position out to a crest. Period TT is the seconds one full cycle takes; frequency ff counts cycles each second, in hertz — 1 Hz is one cycle per second.

Period and frequency are the same fact read in opposite directions, and the bridge between them is one flip: T=1fT = \dfrac{1}{f} (read aloud: T equals one over f). Five cycles a second means a fifth of a second each; no other formula on this page is that polite.

This lesson is the reading skill: which of the four numbers is the sentence handing you? The units point the way — Hz counts, bare seconds time, and metres measure either along the wave (wavelength) or out from rest (amplitude). Read WHERE the metres run.

Tf

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

  • TT= Period (time)
  • ff= Frequency (frequency)
Period-Frequency Relation solver →