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Frequency Homework Question.?
A tube with a cap on one end, but open at the other end, has a fundamental frequency of 134.1 Hz. The speed of sound is 343 m/s.
(a) If the cap is removed, what is the new fundamental frequency of the tube?
(b) How long is the tube?
Please include units and workings where possible.
Will happily award a best answer.
1 Answer
- peterpanLv 73 years ago
a)
f = v / λ = v / (2 L)
f' = v / λ' = v / (4 L)
then
f' = 1/2 f = 67.05 Hz
b)
f = v / λ = v / (2 L)
L = v / (2 f)
L = 343 / (2 * 134.1) ~ 1.28 m