Fundamental frequency of pipe - physics question?
A pipe open at both ends has a fundamental frequency of 300 Hz when the temperature is 0°C.
(a) What is the length of the pipe?
(b) What is the fundamental frequency at a temperature of 30°C?
*Please answer me seriously, and do not tease me please. Also, please give me the complete solution and not just the final answer.
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According to the citation, the velocity of sound waves in air at 0ºC is 331.3m/s.
F₀ = v / (2L) = 300Hz = 331.3m/s / (2L)
L = 331.3m/s / (2·300/s) = 0.55m
at 30ºC, v = 343.2m/s + 0.6m/s·(30ºC - 20ºC) = 349.2 m/s
F₀ = 349.2m/s / (2·0.55m) = 316 Hz