1 00:00:11,697 --> 00:00:12,530 CARLA: Hi, everyone. 2 00:00:12,530 --> 00:00:13,200 Good morning. 3 00:00:13,200 --> 00:00:14,237 My name is Carla. 4 00:00:14,237 --> 00:00:16,570 I'm going to be talking about a very fundamental concept 5 00:00:16,570 --> 00:00:17,390 in aerodynamics. 6 00:00:17,390 --> 00:00:21,834 But before I start, have you all gone in planes before? 7 00:00:21,834 --> 00:00:22,334 Yeah? 8 00:00:22,334 --> 00:00:22,834 OK. 9 00:00:22,834 --> 00:00:27,600 Have you wondered, how does the pilot land the plane? 10 00:00:27,600 --> 00:00:28,160 A little? 11 00:00:28,160 --> 00:00:29,186 All right. 12 00:00:29,186 --> 00:00:31,085 I'm going to explain two concepts that 13 00:00:31,085 --> 00:00:33,460 will help you understand how you actually land the plane. 14 00:00:33,460 --> 00:00:37,640 And these concepts are the concepts of lift and angle 15 00:00:37,640 --> 00:00:39,980 of attack. 16 00:00:39,980 --> 00:00:45,520 So I want you to picture a plane going through the skies. 17 00:00:45,520 --> 00:00:49,390 And in real life, the planes don't fly perfectly horizontal. 18 00:00:49,390 --> 00:00:51,718 They actually fly at an angle. 19 00:00:51,718 --> 00:00:55,900 And we're going to draw a little plane going at an angle. 20 00:00:55,900 --> 00:00:58,130 And this angle between the horizontal and the plane-- 21 00:00:58,130 --> 00:01:01,394 it's going to be known as alpha, the angle of attack. 22 00:01:04,319 --> 00:01:06,770 And it's usually about 10 degrees. 23 00:01:06,770 --> 00:01:08,830 So that's why it seems that you're going uphill 24 00:01:08,830 --> 00:01:10,880 when you walk across a plane. 25 00:01:10,880 --> 00:01:14,310 Now, there are two forces acting on the plane. 26 00:01:14,310 --> 00:01:18,140 You're going to have gravity-- the weight of the plane, 27 00:01:18,140 --> 00:01:19,450 pulling the weight down. 28 00:01:19,450 --> 00:01:21,690 And you're going to also have a force upwards that's 29 00:01:21,690 --> 00:01:22,750 keeping the plane afloat. 30 00:01:22,750 --> 00:01:29,780 And that force is called lift, which we're going to note by L. 31 00:01:29,780 --> 00:01:32,620 Lift is generated as air rushes through the wings. 32 00:01:32,620 --> 00:01:34,417 The wings are designed in such a way 33 00:01:34,417 --> 00:01:36,000 that as air goes through them, they're 34 00:01:36,000 --> 00:01:38,160 going to generate a force upwards. 35 00:01:38,160 --> 00:01:40,640 So that's what keeps the plane uplift. 36 00:01:40,640 --> 00:01:43,840 Now, there's a relationship between lift 37 00:01:43,840 --> 00:01:45,574 and the angle of attack. 38 00:01:45,574 --> 00:01:47,782 And I'm going to illustrate it in the following plot. 39 00:01:47,782 --> 00:01:50,680 So we're going to have-- on the x-axis I'm 40 00:01:50,680 --> 00:01:55,510 going to have the angle of attack, in degrees. 41 00:01:55,510 --> 00:01:57,150 And then for the y-axis, I'm going 42 00:01:57,150 --> 00:01:58,810 to have the lift, which is a force 43 00:01:58,810 --> 00:02:01,850 and therefore has units of Newtons. 44 00:02:01,850 --> 00:02:07,745 Now, it is known that at small angles of attack, 45 00:02:07,745 --> 00:02:09,889 if you increase the angle of attack a little bit, 46 00:02:09,889 --> 00:02:11,332 you're going to get more lift. 47 00:02:11,332 --> 00:02:12,790 So if you increase it a little bit, 48 00:02:12,790 --> 00:02:13,760 you're going to get more lift. 49 00:02:13,760 --> 00:02:15,384 So you're going to get an upwards trend 50 00:02:15,384 --> 00:02:17,514 in the first part of the plot. 51 00:02:17,514 --> 00:02:20,255 Now, it might be that you have a very high angle of attack-- 52 00:02:20,255 --> 00:02:22,130 that the plane's going actually really steep. 53 00:02:22,130 --> 00:02:24,675 The flow is going to be quite adverse to the wings 54 00:02:24,675 --> 00:02:26,990 and they're going to stop generating lift. 55 00:02:26,990 --> 00:02:29,270 So if you make the angle even steeper, 56 00:02:29,270 --> 00:02:31,830 you're going to get even less lift. 57 00:02:31,830 --> 00:02:34,040 So that means that in this part of the plot, 58 00:02:34,040 --> 00:02:35,980 at very high angles of attack, you're 59 00:02:35,980 --> 00:02:40,250 going to get even less lift as you increase the angle. 60 00:02:40,250 --> 00:02:41,530 Yes there's a question. 61 00:02:41,530 --> 00:02:43,030 STUDENT 1: By extreme angles, do you 62 00:02:43,030 --> 00:02:46,530 mean like, greater that 45 degrees or like 10 degrees? 63 00:02:46,530 --> 00:02:49,740 CARLA: Greater than 15 actually-- greater than 15. 64 00:02:49,740 --> 00:02:52,300 So you have these two regimes. 65 00:02:52,300 --> 00:02:55,906 And there's this mode of transition in between. 66 00:02:55,906 --> 00:03:00,218 And the maximum occurs at 15 degrees. 67 00:03:00,218 --> 00:03:02,757 And this condition at which the plane starts to lose lift 68 00:03:02,757 --> 00:03:04,255 is known as a stall. 69 00:03:07,230 --> 00:03:11,590 So when an airplane starts to lose lift, it stalls. 70 00:03:11,590 --> 00:03:14,230 Now airplanes usually fly about 10 degrees. 71 00:03:14,230 --> 00:03:15,945 You want the angle of attack to be high, 72 00:03:15,945 --> 00:03:17,690 so that you get a lot of lift, but not 73 00:03:17,690 --> 00:03:20,460 so high that you will stall. 74 00:03:20,460 --> 00:03:24,020 So to land the plane, what does a pilot actually do? 75 00:03:24,020 --> 00:03:26,880 Here approaches the runways at 10 degrees, the normal angle. 76 00:03:26,880 --> 00:03:28,880 And when he's about to hit the ground, 77 00:03:28,880 --> 00:03:32,280 he changes the angle of attack to 15 degrees and stalls. 78 00:03:32,280 --> 00:03:35,570 So they lose a lot of lift and they actually crash the plane, 79 00:03:35,570 --> 00:03:37,600 gently to the ground. 80 00:03:37,600 --> 00:03:38,770 All right. 81 00:03:38,770 --> 00:03:40,640 Are there any questions? 82 00:03:40,640 --> 00:03:41,140 Yes. 83 00:03:41,140 --> 00:03:43,440 STUDENT 2: Do the aerodynamics of the plane 84 00:03:43,440 --> 00:03:46,570 affect the stall point? 85 00:03:46,570 --> 00:03:47,566 CARLA: They do. 86 00:03:47,566 --> 00:03:49,190 The stall point depends on the velocity 87 00:03:49,190 --> 00:03:51,390 of the plane-- which the plane's going at, 88 00:03:51,390 --> 00:03:52,740 and the shape of the wings. 89 00:03:52,740 --> 00:03:57,790 But it's usually around 15 degrees for any sort of plane. 90 00:03:57,790 --> 00:04:01,520 There are planes-- the one that actually can fly vertical, 91 00:04:01,520 --> 00:04:04,780 those ones have other sorts of control. 92 00:04:04,780 --> 00:04:08,170 The winds are stalling but they have fancy motors that 93 00:04:08,170 --> 00:04:10,900 can hold that angle. 94 00:04:10,900 --> 00:04:13,740 There was another question. 95 00:04:13,740 --> 00:04:14,240 No? 96 00:04:14,240 --> 00:04:14,760 Yes. 97 00:04:14,760 --> 00:04:16,095 Yes, what's the question? 98 00:04:16,095 --> 00:04:18,136 STUDENT 3: Are the wings also angled with respect 99 00:04:18,136 --> 00:04:19,198 to the plane? 100 00:04:19,198 --> 00:04:19,739 CARLA: Sorry. 101 00:04:19,739 --> 00:04:22,893 Could you be a little louder please? 102 00:04:22,893 --> 00:04:24,710 Could you repeat the question please? 103 00:04:24,710 --> 00:04:26,760 STUDENT 3: Are the wings also angled with respect 104 00:04:26,760 --> 00:04:27,540 to the plane? 105 00:04:27,540 --> 00:04:28,970 CARLA: Yes, yes, yes. 106 00:04:28,970 --> 00:04:32,700 So the question is if the wings have an angle with respect 107 00:04:32,700 --> 00:04:33,280 to the plane. 108 00:04:33,280 --> 00:04:35,121 And yes they do. 109 00:04:35,121 --> 00:04:37,144 The plane moves something like this, 110 00:04:37,144 --> 00:04:38,560 and the wings are at a small angle 111 00:04:38,560 --> 00:04:41,218 of 2 to 3 degrees with respect to the horizontal of the plane. 112 00:04:41,218 --> 00:04:46,650 I'm exaggerating it, but it is at a small angle. 113 00:04:46,650 --> 00:04:48,650 But then the cross-section actually changes. 114 00:04:48,650 --> 00:04:50,810 And if you look at the airplane from the front, 115 00:04:50,810 --> 00:04:53,620 the wings are actually doing something like this here. 116 00:04:53,620 --> 00:04:57,910 So there's a number of angles going on with the plane.