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GCSE Physics - Longitudinal & Transverse Waves - Labelling & Calculating Wave Speed (2027/28 exams)

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Key takeaways

Educational

Summary

  • Waves transfer energy, not matter. Light and sound carry energy from a source to a receiver. This energy can also convey information, such as images or music.
  • Waves travel through oscillations—repeated vibrations around an equilibrium position.

Labelling Waves

  • On a displacement–distance graph, distance shows how far along the wave you are, while displacement shows how far the wave has moved from its equilibrium position.
  • Amplitude is the maximum displacement from equilibrium.
  • Wavelength ((\lambda)) is the distance covered by one complete oscillation. It can be measured between matching points, such as crest to crest.
  • A crest is the top of a wave; a trough is the bottom.
  • On a displacement–time graph, one complete oscillation corresponds to the time period ((T)): the time taken for one full cycle.

Frequency and Time Period

  • Frequency ((f)) is the number of complete oscillations per second and is measured in hertz (Hz).
  • Use:
    • (f = \frac{1}{T})
    • (T = \frac{1}{f})
  • For example:
    • If the time period is 0.5 s, the frequency is (1 \div 0.5 = 2\ \text{Hz}).
    • If the frequency is 4 Hz, the time period is (1 \div 4 = 0.25\ \text{s}).

Calculating Wave Speed

Use wave speed = frequency × wavelength, or:

[ v = f\lambda ]

Make sure the wavelength is in metres before calculating.

For example, for a wave with a frequency of 400 Hz and a wavelength of 70 cm:

  1. Convert 70 cm to 0.7 m.
  2. Calculate (v = 400 \times 0.7 = 280\ \text{m/s}).

Transverse and Longitudinal Waves

  • In a transverse wave, oscillations are perpendicular to the direction of energy transfer. Examples include electromagnetic waves (such as light and radio waves), water ripples, and waves on a guitar string.
  • In a longitudinal wave, oscillations are parallel to the direction of energy transfer. This creates alternating compressed and spread-out regions. Examples include sound waves and seismic P waves.

Speakers and Sources

  • One unnamed narrator presents educational material for Cognito.
  • No other speakers are featured.

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