Wave Speed
Calculating Frequency and Wavelength with Standing Waves
Explore the relationship between wave speed, frequency, and wavelength in standing waves. Observe how changing frequency affects wavelength while wave speed remains constant!
Fundamental Frequency
v = f × λ
Frequency: 1 Hz |
Wavelength: 2.0 m |
Speed: 2.0 m/s
Observation:
In the fundamental frequency, the standing wave has one antinode and wavelength is twice the length of the medium.
The Science Behind Wave Speed
Key Concepts:
Standing waves are wave patterns that result from interference between waves traveling in opposite directions:
- Nodes: Points of no displacement (remain at rest)
- Antinodes: Points of maximum displacement
- Harmonics: Integer multiples of the fundamental frequency
Wave Equation:
The wave speed (v) is determined by the medium and remains constant. Frequency (f) and wavelength (λ) are related by:
v = f × λ
When frequency increases, wavelength must decrease proportionally to maintain constant wave speed.