00:02
It looks like you have some questions about how to read a position time drop for wave mechanics.
00:09
So i'm going to go through the basics of it, and hopefully i'll help you with this activity that looks like you're about to get started on.
00:17
So here i've drawn a particular wave function here on a position time graph.
00:24
Notice that it's oscillating back and forth from one meter to negative one meter back to one meter again.
00:32
So on, and it's doing that over a given amount of time.
00:36
So the first thing that we need to define is what is a wavelength, and you can find the wavelength by measuring the distance from crust to crust or trough to trough or some starting point to when that point starts again.
00:56
So this is what a wavelength is, and the symbol for wavelength is lambda.
01:01
So in this scenario, the wavelength is being measured in time.
01:08
So we could figure out how much time the wave it took for the wave to go by.
01:17
But we would need to know something else about the system.
01:22
For example, for us to find the wavelength, we would need to know what the velocity is of the wave.
01:30
And we could find it from there.
01:33
So that might be something that they ask about.
01:39
So i want to know how to find wavelength if we're given velocity.
01:46
And let's look at different things.
01:49
We have to look at two different things first before we can do that.
01:54
One is the period.
01:56
How long does it take for one cycle to happen? and so the definition of one cycle is from what was the position to start with? it was at zero and it's moving upwards.
02:10
So we need to find when that's happening again, and it's right here.
02:15
So that is the mark at which the period in seconds has been determined.
02:23
So two seconds is how long it took for one cycle to occur.
02:28
I had to go up, then back down, and pass that to negative one, and then back up to zero again.
02:36
That's one full cycle and that's the definition of the period.
02:40
How long does that one full cycle take? now frequency is a different definition.
02:52
It's how many waves go by in a second.
02:56
So frequency is the inverse of the period.
03:00
So one divided by t will get you the frequency.
03:04
So in this scenario, one divided by t is one half.
03:09
So this frequency is 0 .5, and that's measured in perks.
03:16
And that's how many waves go by in one second...