ent, assu ency o gures an Constants Part A Suppose that you are in a 19-m-long h

Question

ent, assu ency o gures an Constants Part A Suppose that you are in a 19-m-long hallway with all doors closed Model the halway as a tube closed at both ends. The speed of sound in air is Determine the fundamental tequency of the hallway Express your answer to two significant figures and include the appropriate units. fi Value Units Submi Part B C. Determine the first overtone frequency of the hallway Express your answer to two significant figures and include the appropriate units. HA f Value Units Submit

Explanation / Answer

1) For a tube closed at both ends,
fundamental ? = 2L
so here
? = 2X19m = 38 m
and fundamental f = v / ? = 343m/s / 38m = 9 Hz

(In general, closed at both ends or open at both ends,
?_n = 2L/n
where n is the harmonic. The fundamental has n=1; the first overtone has n=2.

2) The first overtone has ?' = 2? = L = 19 m, so
f' = 9Hz * 2 = 18 Hz

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