SUMMARY
The length of a pipe open at both ends can be calculated using the formula for wavelength, λ = v/f. Given that the second overtone frequency is 2000 Hz and the speed of sound is 343 m/s, the wavelength is determined to be 0.1715 m. For a pipe open at both ends, the length of the pipe is half the wavelength of the second overtone, resulting in a length of 0.08575 m.
PREREQUISITES
- Understanding of wave properties, specifically wavelength and frequency
- Knowledge of the speed of sound in air
- Familiarity with the concept of overtones in acoustics
- Basic algebra for manipulating equations
NEXT STEPS
- Research the relationship between frequency, wavelength, and pipe length in acoustics
- Learn about the harmonic series for pipes open at both ends
- Explore the effects of temperature and pressure on the speed of sound
- Study practical applications of acoustics in musical instruments
USEFUL FOR
Students studying physics, particularly in acoustics, music educators, and anyone interested in the principles of sound wave behavior in pipes.