Traveling Wave Basics - Example 2
Traveling Wave Basics - Example 3
Traveling Wave Basics - Example 4
Wave Equation - Overview
Wave Equation - Example 1
University of North Carolina at Chapel Hill
Traveling Wave Basics - Example 1


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Video Transcript

welcome to our first example video. Looking at the basics of traveling waves in this video, we're going to consider a function of both position and time that is equal to for centimeters multiplied by the sign of to one of her centimeters. Times X minus four hurts times, time plus pi over six. Okay, so we want to try and pull out the physical meaning from this function. Okay, so we know that four centimeters here, it's what we call the amplitude. So that's four times 10 to the negative 2 m. It's the amplitude because it is the number multiplying the trig function. We know the trig function sign is going to have a maximum of one, a minimum of negative one. But when we multiply that maximum by four, we come up with an amplitude of four centimeters and negative four centimeters, rather maximum four centimeters and a minimum of force enemy. Just now, if I were to ask you the lambda the wavelength of this wave, we would say, Well, I know that land is equal to two pi over K and inflamed is equal to two pi over K. Then I know here that this is K. So that is two pi divided by two times, one over centimeters. So this ends up being pi centimeters as the wavelength. If I were to ask you for frequency, I know that frequency is equal to Omega. Divided by two pi. I have omega right here. That's going to be four hurts divided by two pi. Now, you might ask, why don't I worry about the negative? Remember, the negative is just telling me the direction of the wave. You can't have a negative or positive. Frequently you can have a positive frequency, but a negative frequency doesn't mean anything. So the negative here is simply telling you that the wave is moving to the right. Now back to this we have four hertz divided by two pi. So that's going to be too over. Pie hurts for our frequency. And lastly, we have a phase constant here, fi, which is equal to pi over six, though, so it doesn't look like it's starting right here. Okay, because we've added this. It's actually gonna look like it starts pi over six back this direction. So it'll look something like this. Okay, so this is how we look at a function d a vexed and pull out physical meaning from it.