Fundamental Frequency of Open and Closed Tube

AI Thread Summary
A tube closed at one end and open at the other has a fundamental frequency of 242 Hz, calculated using the formula f (open and closed) = v/4L. The length of the tube is determined to be 0.354 m. For a tube that is open at both ends, the fundamental frequency is calculated using f (open) = v/2L, resulting in a frequency of 484 Hz. The calculations and results presented are confirmed as correct. This demonstrates the relationship between tube length and fundamental frequency in different configurations.
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Homework Statement



A tube closed at one end and open at the other has a fundamental frequency of 242 Hz. What is the fundamental whenboth are open?

Homework Equations



f (open and closed) = v/4L
f (open) = v/2L
v sound = 343 m/s

The Attempt at a Solution



f1 (open and closed) = v/4L = 242Hz = 343/4L

L = .354 m

f (open) = v /2L = 343/ 2(.354m) = 484 Hz

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