Question

If a pipe turns, aka is not straight, the length of the pipe (in order to calculate the resonance frequency) is given by the length of the imaginary line connecting the centers of the circular section of the pipe, by an imaginary string of zero width that connects the two extreme of the pipe, or by which other measure?

For a straight pipe is easy, but I can't find any information on what happens when it bends.

Answer 1

The length of a bent pipe can be determined by measuring the length of the imaginary line connecting the centers of the circular section of the pipe or by measuring the distance between the two extreme ends of the pipe along its path.

Step-by-step explanation:

When a pipe turns or bends, the length of the pipe in order to calculate the resonance frequency can be determined by the length of the imaginary line connecting the centers of the circular section of the pipe.

This imaginary line is represented by an imaginary string of zero width that connects the two extreme ends of the pipe. By measuring the length of this imaginary line, you can calculate the resonance frequency of the pipe.

Another way to measure the length is by considering the distance between the two extreme ends of the pipe, along the path of the pipe.

The length of a bent pipe can be determined by measuring the length of the imaginary line connecting the centers of the circular section of the pipe or by measuring the distance between the two extreme ends of the pipe along its path.