1. A stretched string and an air column which is open at both ends are in resonance with each other. The air column is 55 cm. long, filled with air at room temperature (speed is 340 m/s), and is vibrating at its 3rd harmonic frequency. The string is 60 cm. long and has a total mass of 5 grams. If the string is vibrating in it's 4th harmonic frequency (and this matches the pipe's third harmonic) a) what is the fundamental frequency of the vibrating air column in the pipe? b) what is the speed of the wave in the string? c) what is the tension in the string?

1. A stretched string and an air column which is open at both ends are in resonance with each other. The air column is 55 cm. long, filled with air at room temperature (speed is 340 m/s), and is vibrating at its 3rd harmonic frequency. The string is 60 cm. long and has a total mass of 5 grams. If the string is vibrating in it's 4th harmonic frequency (and this matches the pipe's third harmonic) a) what is the fundamental frequency of the vibrating air column in the pipe? b) what is the speed of the wave in the string? c) what is the tension in the string?