SUMMARY
The wavelengths of the lowest and highest audible frequencies in air, given a speed of sound of 342 m/s, are calculated using the formula v = λf. For the lowest frequency of 20 Hz, the wavelength is 17.1 meters. For the highest frequency of 20 kHz (20,000 Hz), the wavelength is 0.0171 meters. These calculations confirm the range of human hearing from 20 Hz to 20 kHz.
PREREQUISITES
- Understanding of wave equations, specifically v = λf
- Basic knowledge of sound speed in air (342 m/s)
- Familiarity with frequency units (Hertz)
- Concept of wavelength in acoustics
NEXT STEPS
- Research the effects of temperature on the speed of sound in air
- Learn about sound wave propagation in different mediums
- Explore the relationship between frequency and wavelength in various contexts
- Investigate human hearing range and its implications in audio engineering
USEFUL FOR
Students studying physics, audio engineers, and anyone interested in the properties of sound waves and human hearing capabilities.