Displacement, velocity, and time
Current time:0:00Total duration:6:55
Introduction to reference frames
- [Instructor] What I'd like to do in this video is talk about the notion of a frame of reference and this is an introductory video. In future videos, we'll go into a lot more depth, but a frame of reference is really the idea it's a point of view from which you are measuring things and as we'll see, many of the quantities that we might measure in physics, like velocity or displacement, they could be different depending on our point of view, depending on which frame of reference we are measuring from and to get this an intuitive grasp of it, I'm going to draw the exact same scenario from three different frames of reference. There's the first one, this is the second one, and this is the third one. So in this first frame of reference, this first scenario, we're gonna talk about the frame of reference of the ground. So if you are a stationary observer on the ground, so you could imagine this is you here and you're the person doing the measuring of let's say we want to measure velocities. So from your point of view, since you're stationary relative to the ground, what does the ground's velocity look like? Well, you and the ground appear to be stationary, appear to not be moving. Now, what if you take out your instruments for measuring velocity or you see a change in, you see what the displacement is over a certain time for the plane and the car and you're able to see okay, look, this plane has a velocity to the right of 250 meters per second, 250 meters per second, and let's say this car that is moving quite fast by car standards is moving to the left at 50 meters per second. So this should be 1/5 of that length. So let me draw a little bit. So let's say this is moving to the left at 50 meters per second. Well, none of this seems crazy. You might be able to go outside next to the highway and see, well 50 meters per second would be quite fast, but anyway, you could observe this type of thing happening and it seems completely reasonably. But what if we were to change our frame of reference, change the point of view from which we are measuring things. So let's take the frame of reference of the car. Well in this frame of reference, let's say you're sitting in this car and I don't recommend you doing this while driving, let's say someone else is driving or it's an autonomous vehicle of some kind and you take out your physics instruments with the stopwatch and you see what the displacement is of the ground and the plane over, say, a second and you are able to first say, from your point of view, you're like well the car is stationary, the car has a velocity of zero, the car is stationary and from your point of view, you would actually measure the ground to be moving. You would see the trees move past you to the right, or behind you if you're moving to the left, and so from your point of view the ground would actually look like it's moving in this direction, in that direction, at 50 meters per second. It would look like it's moving behind you or in this case, the way we're looking at it, to the right at 50 meters per second. Now, what would the plane look like? Well, the plane not only would it look like it's moving to the right at 250 meters per second, not only would it be just that 250 meters per second, but relative to you it'd look like it's going even faster 'cause you're going past it, you are going to the left from the stationary, from the ground's point of view at 50 meters per second. So the plane, to you, is gonna look like it's going 250 plus 50 meters per second. So the vector would look like this and so it would look like it's going to the right at 300, let me write that in that orange color, at 300 meters per second. Now, what about from the point of view of the plane? What if we're talking about the plane's frame of reference? Why don't you pause this video and think about what the velocities would be of the plane, the car, and the ground from the plane's point of view. All right, now let's work through this together. So now, we're sitting in the plane and once again we shouldn't be flying the plane, we're letting someone else do that, we have our physics instruments out and we're trying to measure the velocities of these other things from my frame of reference. Well, the plane, first of all, is going to appear to be stationary and that might seem counterintuitive, but if you've ever sat in a plane, especially when there's no turbulence and the plane is already at altitude and it's not taking off or landing, oftentimes if you close your eyes you don't know if you are moving. In fact, if you close all of the windows, it feels like you are in a stationary object, that you might as well be in a house. So from the plane's point of view, you feel like, or from your point of view in the plane, it feels like the plane is stationary. Now the ground, however, looks like it's moving quite quickly. It'll look like it's moving past you at 250 meters per second. Whoops, try and draw a straight line. At 200... At 250. Sometimes my tools act funny. So, at 250 meters per second to the left. And the car, well it's moving to the left even faster. It's going to be moving to the left 50 meters per second faster than the ground is. So the car is gonna look not like it's just going 50 meters per second, it's gonna look like it's going 50 meters plus another 250 meters per second for a total of 300 meters per second to the left. So this gives you an appreciation for what frames of references are. You can view it for this introductory video as a point of view from which you're making your measurements. Now, it's tempting for a lot of folks to say well there must be one correct frame of reference and a lot of times in our everyday world you might say well this, maybe this is the correct frame of reference and these are just, we're just imagining this or this is just the mistake and the reason why we do that is because we're using the frame of reference of this big, giant thing called the earth, but it actually turns out that none of these frames of reference are more valid than the other ones, that they are all equivalent, that they are all valid frames of reference, not, I shouldn't say they're equivalent, we're obviously getting different measurements from them, but they're all, from a physics point of view, equally valid frames of reference.