Why do pipes of different size and length make different sounds?

[ecanescence-fan]

Homework Statement

Can someone please tell me simply why pipes of different size and length make different sounds?

Homework Equations

The Attempt at a Solution

 

[chemisttree]

You need to review the concept of "fundamental frequency" (as opposed to harmonic).

 

[Blueshift5]

Pipes of different size and length make different sounds because the size and length of a pipe directly affects the frequency and wavelength of the sound produced. When air is blown into the pipe, it vibrates at a certain frequency based on the size and length of the pipe. This frequency determines the pitch of the sound produced.

For example, a shorter pipe will produce a higher frequency and a higher pitch sound, while a longer pipe will produce a lower frequency and a lower pitch sound. This is because the shorter pipe has a shorter wavelength, meaning the vibrations occur more frequently, while the longer pipe has a longer wavelength, meaning the vibrations occur less frequently.

Additionally, the size of the pipe also affects the sound produced. A wider pipe will have a larger volume of air, resulting in a louder sound, while a narrower pipe will have a smaller volume of air, resulting in a quieter sound.

In summary, the size and length of a pipe directly impact the frequency, wavelength, and volume of the sound produced, resulting in different sounds being produced by pipes of different sizes and lengths.