A pipe is open at both ends. Its length is 22.81 cm. If I excite standing waves

Question

A pipe is open at both ends. Its length is 22.81 cm. If I excite standing waves in the pipe
by blowing air over one of its ends, I hear a pitch of 715.6 Hz. (This is the
fundamental frequency of standing waves in the pipe.) (a) Find the distance between the
antinodes at the two ends of the pipe. This is not the same as the actual length of the
pipe, since the antinodes are not exactly at the ends of the pipe. The speed of sound is
345 m/s. (b) How far past the physical ends of the pipe do the antinodes extend?
Assume that it is the same amount for each antinode. (c) If I close one end of the pipe,
what pitch will I hear? The node at the closed end is exactly at the position of the closed
end. The antinode at the open end extends past the physical end of the pipe by the same
amount found in part (b).

Explanation / Answer

a) 5 mm b) 14 mm c) Pitch = 458

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