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?)

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**Measuring the Speed of Sound**

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?)

**Multiple-choice answers:**

- o 300 m/s
- o 200 m/s
- o 343 m/s
- o 150 m/s
- o 600 m/s
Transcribed Image Text:**Measuring the Speed of Sound** 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?) **Multiple-choice answers:** - o 300 m/s - o 200 m/s - o 343 m/s - o 150 m/s - o 600 m/s
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