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GCSE Physics - Longitudinal & Transverse Waves - Labelling & Calculating Wave Speed (2027/28 exams)
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Key takeaways
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:
- Convert 70 cm to 0.7 m.
- 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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