00:01
All right, so let's say we have two strings, and they're initially both on the same tension, but the tension in string 2 is decreased by 1 .7%.
00:15
So we'll say, you know, t1 has some value, or better yet, let's call the other string, let's call us t -prime.
00:24
This is, like, you know, 9, 90, or 0 .0.
00:31
0 .983 times t.
00:35
And so we want to know what's the beat frequency heard when the strings are played together.
00:39
Well the speed of sound for the strings is going to be the square root of the tension divided by the linear mass density.
00:44
So the frequency of a given note is going to be the speed of sound divided by the wavelength of that note, which is going to be, you know, 1 over the wavelength times the square root of the tension over the linear mass density.
00:57
So what we can do is find the ratio of these two frequencies...