00:01
In this question, we have a standing wave on a string that is given by the expression d equals 2 .4 sine 0 .60x cosine 42 t.
00:17
And in this equation, x is in the unit of a centimeter.
00:23
And we are asked, a, what is the distance between two nodes? and b gives the amplitude frequency and speed of each of the component waves.
00:32
And finally, you want to find the speed of the speed of the component waves.
00:34
Of particle on string at a certain place.
00:38
So part a, when we want to find the distance between two nodes, as we can see, standing wave looks kind of like this.
00:48
So the distance between two nodes is half the wavelengths.
00:53
And how do we find the wavelengths? we know this is kx and k equals 2 pi over lambda.
01:01
So lambda equals 2 pi over k.
01:05
So this is equal to pi over k, which is 5 .2 centimeter.
01:21
Second question asks, what is the amplitude, the frequency, and speed of the component waves? so a steady wave is a superposition of two waves, and two waves traveling opposite directions, and each one has the same frequency and same speed.
01:43
And because of superposition, they only have half the amplitude of the final wave...