Physics / Foundations
Wave language
Describe travelling disturbances with frequency, wavelength and amplitude.
Learning objectives
- Identify amplitude and wavelength.
- Relate frequency to period.
- Calculate wave speed.
The big idea
A wave transfers energy through a travelling disturbance. In a transverse wave the oscillation is perpendicular to travel; in a longitudinal wave it is parallel.
Frequency counts cycles per second. Wavelength is the distance between points in the same phase, and period is the time for one cycle. Amplitude describes the maximum displacement, not the distance a wave travels.
1. Disturbance and transport
Shake one end of a rope and a disturbance travels along it, while a marked point mainly moves up and down. The wave transports energy without requiring that point to travel to the far end. In sound, particles oscillate back and forth along the direction of propagation.
2. Three measurements do different jobs
Amplitude is the greatest displacement from the resting position. Wavelength separates equivalent positions, such as neighbouring crests. Frequency counts cycles each second, while period times one cycle. A large amplitude does not by itself imply high frequency.
3. Connect the pattern to speed
If ten crests pass a point each second and consecutive crests are 0.5 m apart, the pattern advances at 10 × 0.5 = 5 m/s. In one unchanged medium, increasing frequency usually shortens wavelength rather than simply increasing wave speed. Label which conditions remain fixed.
A method you can reuse
- Identify the resting position and repeating pattern.
- Measure wavelength between equivalent points.
- Count cycles over a known time.
- Use v = fλ with metres and seconds.
A wave becomes taller but its frequency is unchanged. Must it travel faster?
No. A taller wave has greater amplitude; speed depends on the medium and wave conditions, not amplitude alone in the simple model.
Equations and relationships
v=fλWave speed equals frequency times wavelength.
T=f1Period and frequency are reciprocals.
Worked example
A wave has frequency 5 Hz and wavelength 2 m. What is its speed?
Follow the solution
v = 5 × 2 = 10 m/s.
Investigate and explain
Keep string tension fixed, increase frequency and observe how wavelength changes.
Follow one marked point and then follow a crest. Comparing those motions helps separate particle oscillation from wave travel.
Open the interactive investigation
Check your understanding
1. What is amplitude?
- Distance between neighbouring crests
- Time for one full cycle
- Maximum displacement from equilibrium
Check the answer and reasoning
Maximum displacement from equilibrium
Amplitude measures how far a point oscillates from its equilibrium position.
2. A wave has frequency 5 Hz and wavelength 2 m. What is its speed?
- 10 m/s
- 2.5 m/s
- 0.4 m/s
Check the answer and reasoning
10 m/s
v = 5 × 2 = 10 m/s.
3. What is the period of a 4 Hz oscillation?
- 4 s
- 0.25 s
- 0.04 s
Check the answer and reasoning
0.25 s
T = 1/4 = 0.25 s.