0:00
Hi, everybody.
00:01
So this one is asking us, consider the first five harmonics of each string.
00:06
Determine each harmonic show equality.
00:10
So we can say a and then they gave us a c here and e here.
00:16
So we get f1 of a.
00:19
The first frequency is going to be 440 hertz, okay? and the frequency of the c, and we're just going to put just c here.
00:28
I'm not going to put the little marks.
00:30
It's going to be 554 .37 hertz.
00:36
And the e is going to be the frequency.
00:39
E is going to be, we'll put one here, 659 .26 hertz, okay? and that's what they give us in the problem.
00:51
So we don't, so that's what we have.
00:54
And they want to know the first, so they want to know the five harmonics.
00:58
So we got first, second.
01:02
Third, fourth, and the fifth.
01:08
Okay.
01:10
And so what this means is that the first one, lambda 1 is going to be equal to frequency 1.
01:16
Then we have lambda 2 is going to equal to the second frequency.
01:20
And lambda 3, lambda 4, lambda 5, we have 3, 4, and 5.
01:29
We have 3, 4, and 5.
01:32
And we get frequency one, frequency one, and frequency one.
01:38
So basically what you do is you put this here and you plug it into this.
01:43
Okay.
01:45
And so what we can do is let me just make a little table for you guys.
01:51
And we'll put a, c, and e.
01:57
Okay.
01:58
And we'll just try to get this nice and smooth.
02:01
It might not be.
02:02
So let's put one.
02:04
So here we're going to put 440 and everything is in hertz...