Summary and Main Ideas

Summary

  • A wave is formed when a continuous number of pulses are transmitted through a medium.

  • A crest is the highest point a particle in the medium rises to.

  • A trough is the lowest point a particle in the medium sinks to.

  • In a transverse wave, the particles move perpendicular to the motion of the wave.

  • The amplitude (\(A\)) is the maximum distance from equilibrium position to a crest (or trough), or the maximum displacement of a particle in a wave from its position of rest.

  • The wavelength (\(λ\)) is the distance between any two adjacent points on a wave that are in phase. It is measured in metres (\(\text{m}\)).

  • The period (\(T\)) of a wave is the time it takes a wavelength to pass a fixed point. It is measured in seconds (\(\text{s}\)).

  • The frequency (\(f\)) of a wave is how many waves pass a point in a second. It is measured in hertz (\(\text{Hz}\)) or \(\text{s$^{-1}$}\).

  • Frequency: \(f = \frac{1}{T}\)

  • Period: \(T = \frac{1}{f}\)

  • Speed: \(v = f·λ\) or \(v = \frac{λ}{T}\).

Table: Units used in transverse waves

Physical Quantities
Quantity Unit name Unit symbol
Amplitude (\(A\)) metre \(\text{m}\)
Wavelength (\(λ\)) metre \(\text{m}\)
Period (\(T\)) second \(\text{s}\)
Frequency (\(f\)) hertz Hz (\(\text{s$^{-1}$}\))
Wave speed (\(v\)) metre per second \(\text{m·s$^{-1}$}\)

This lesson is part of:

Mechanical Waves and Sound

View Full Tutorial

Track Your Learning Progress

Sign in to unlock unlimited practice exams, tutorial practice quizzes, personalized weak area practice, AI study assistance with Lexi, and detailed performance analytics.