Solve Homework: Sound Waves Lengths in Tube w/ 85cm Guitar String

AI Thread Summary
An 85cm guitar string plucked at a fundamental frequency of 350Hz produces a wave speed of 1000m/s when tension is increased. The wavelength is calculated to be 1.7m, leading to a frequency of approximately 588.2Hz for the sound wave in the tube. The discussion highlights the difference in wave speed between the guitar string and the tube due to different mediums. The loud sound produced by the tube suggests a resonance condition, indicating that the tube's fundamental frequency must relate closely to the frequency of the sound wave. Further analysis is needed to determine the possible lengths of the tube based on these frequencies.
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Homework Statement


A guitar string that is 85cm long is plucked. The fundamental frequency of the string is 350Hz. The string's tension is then increased and its wave speed is 1000m/s The string is vibrating at its fundamental frequency and a closed tube is next to it. A loud sound is produced by the tube. What are the possible lengths of the tube?

Homework Equations


speed = wavelength*frequency

The Attempt at a Solution



1000 = wavelength*frequency
wavelength = 0.85(2) = 1.7
1000 = 1.7*f
f = 588.2

I'm not sure what to do next. I know the speed of the wave inside the tube isn't going to be the same as its speed on the guitar string since they're different mediums, but I'm not sure what that speed would be.
 
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If the sound isoud, what does that tell you about the frequency of the sound wave in relation to the fundamental frequency of the tube?
 

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