The longest pipe found in most mediumsized pipe organs is 22

The longest pipe found in most medium-sized pipe organs is 2.20 m (7.22 ft ).

Part A What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at both ends?

Part B What is the wavelength of the note corresponding to the fundamental mode if the pipe is open at one end and closed at the other?

Solution

A)

wavelength /2 = 2.2 m

wavelength = 4.4m

V = f x wavelwength

V = 343 m/sec

f = 77.95 Hz

B)

for fundamental frequency

wavelength /4 = 2.2

wavelength = 8.8m

V = f x wavelength

f = 38.977 Hz