The relation between the sound pitch and the mass of the stringsClick here for student and other user informationClick here for teacher information

Notice how the sound of strings of different thickness changes when you pluck them. The strings with a bigger number are thicker.

What is the relationship between the thickness of the string and the pitch (f) of the sound produced by it?

A thicker string produces a deeper sound. The frequency of the oscillation is smaller, because the propagation speed of the oscillation is smaller in a string which has a bigger mass.

Naturally, it is also true if the density, and accordingly the mass of a string selected from strings of the same size is bigger, because the oscillation propagation speed in that string will be lower as well, so we can hear a deeper sound again.

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