00:01
The g string on a certain guitar is 65 meters long, so let's write that down.
00:07
65 centimeters is 0 .65 meters.
00:14
And the steel string has a mass of 0 .741 grams, and we would like to convert that to kilograms.
00:25
And so we should get that this mass is 7 .41 times 10 to the negative 4th.
00:35
Kilograms because we just want everything to be in standard si units.
00:39
And the tension in the string is varied by turning a peg on the neck of the guitar.
00:44
And so we would like to find the tension if a transverse wave of 130 centimeters, the fundamental has a frequency of 196 hertz.
00:58
So we know the fundamental frequency is 196 hertz.
01:02
You can see that the transverse wave is just double the length and we'll see why in a second when we get to the formulas.
01:12
So fundamental frequency is equal to v divided by 2l and this length is 130 centimeters, which is the length of the transverse wave, which is, which just implies that you have your fundamental frequency, right? and we want to find tension.
01:36
We know that we can find tension because the speed of the wave on the string is going to be equal to tension divided by mu, which is mass density...