Question

For a particular pipe in a pipe-organ, it has been determined that the frequencies 576 Hz and 648 Hz are two adjacent natural frequencies. Using 343 m/s as the speed of sound in air, determine the following.(a) fundamental frequency for this pipe (b) Is the pipe is open at both ends or closed at one end?(c) length of the pipe

Answer 1

Answer:

(A) Fo = 72 Hz

(B) The pipe is open at both ends

(C) The length of the pipe is 2.38m

This problem involves the application of the knowledge of standing waves in pipes.

Explanation:

The full solution can be found in the attachment below.

For pipes open at both ends the frequency of the pipe is given by

F = nFo = nv/2L where n = 1, 2, 3, 4.....

For pipes closed at one end the frequency of the pipe is given by

F = nFo = nv/4L where n = 1, 3, 5, 7...

The full solution can be found in the attachment below.