It is a VERY cold day and you want to measure the speed of sound. You have a guitar and a very long pipe of length 1.5 m which is closed on one end. You pluck the guitar and find that it has a nice resonance with the sound generated by the long pipe. Assume it is the lowest harmonic (both for the pipe and the guitar string). The length of the guitar is 1 m, the mass of the guitar string is 0.01 kg and the tension is 100 N. What is the speed of sound on that day? (Hint: What is the frequency of the string? What does this mean for the frequency of the sound from the pipe?)

It is a VERY cold day and you want to measure the speed of sound. You have a guitar and a very long pipe of length 1.5 m which is closed on one end. You pluck the guitar and find that it has a nice resonance with the sound generated by the long pipe. Assume it is the lowest harmonic (both for the pipe and the guitar string). The length of the guitar is 1 m, the mass of the guitar string is 0.01 kg and the tension is 100 N. What is the speed of sound on that day? (Hint: What is the frequency of the string? What does this mean for the frequency of the sound from the pipe?)