﻿1
00:00:00,420 --> 00:00:01,240
‫Welcome back.

2
00:00:01,830 --> 00:00:09,840
‫There is one small change that you need to know about, and that change happens here in this support

3
00:00:09,840 --> 00:00:10,670
‫files drawn.

4
00:00:11,250 --> 00:00:13,230
‫So this is your init function.

5
00:00:13,860 --> 00:00:21,210
‫And if you look at your seat and CQ, these are your thrust and drag factors.

6
00:00:21,810 --> 00:00:29,310
‫Then in the previous videos, you saw that these were the values for the thrust and drag factors.

7
00:00:29,670 --> 00:00:30,150
‫Right.

8
00:00:30,720 --> 00:00:37,860
‫And then the units for them were Knewton times second squared and then here Knewton times meters, times

9
00:00:37,860 --> 00:00:38,760
‫second squared.

10
00:00:39,240 --> 00:00:48,000
‫And then in the main file, the place where we defined our initial propellor rotational velocities,

11
00:00:48,420 --> 00:00:53,250
‫the omega's right here before you have here.

12
00:00:53,250 --> 00:00:56,160
‫Three thousand radians per second now.

13
00:00:56,160 --> 00:01:00,380
‫Actually, three thousand radians per second is a very big value.

14
00:01:00,900 --> 00:01:08,820
‫And the reason why it didn't give problems in the simulator was because by mistake, these values were

15
00:01:08,820 --> 00:01:09,540
‫too small.

16
00:01:10,170 --> 00:01:14,960
‫In fact, these values were correct, but the units were not correct.

17
00:01:15,360 --> 00:01:19,340
‫This value here is not in Newton Times.

18
00:01:19,710 --> 00:01:25,890
‫Second squared, it was in Newton over R.P.M. squared.

19
00:01:26,400 --> 00:01:29,550
‫And then this value here for the drag factor.

20
00:01:30,120 --> 00:01:38,850
‫It was not Knewton times Meeta Times second squared, it was Newton Times Meeta over R.P.M. squared.

21
00:01:39,390 --> 00:01:46,170
‫If these units are used, then the thrust and drag factors, they become very small.

22
00:01:46,740 --> 00:01:55,110
‫And since you know that the total thrust equals the thrust factor times and then this some of these

23
00:01:55,680 --> 00:02:02,970
‫angular velocity squared of the propeller's and then your your control moment equals the drag factor

24
00:02:03,570 --> 00:02:05,460
‫and then these terms.

25
00:02:06,060 --> 00:02:15,840
‫Then if this city and CQ, if they become very small and you want to keep your initial you one and initial

26
00:02:15,840 --> 00:02:21,000
‫EUFOR at some kind of level, then that allows you to make those omega's bigger.

27
00:02:21,540 --> 00:02:31,140
‫So due to that unit error and CQ, you were very small and then the Omega's were very big and in the

28
00:02:31,140 --> 00:02:36,240
‫simulation it did not affect the You Want and EUFOR values.

29
00:02:36,270 --> 00:02:38,100
‫They were at normal levels.

30
00:02:38,580 --> 00:02:45,570
‫Only after I had more closely examined the aztek hummingbird's specifications.

31
00:02:46,170 --> 00:02:52,680
‫Then I noticed that no way is propeller's can achieve three thousand radians per second.

32
00:02:53,250 --> 00:03:00,540
‫And then this unit error came out and all I had to do in order to solve the problem was to convert it

33
00:03:00,540 --> 00:03:10,110
‫from these units here to these ESSI units here by multiplying this factor by the original value.

34
00:03:10,660 --> 00:03:19,500
‫So it's the same thing for the thrust factor and for the drag factor that made CTY and CQ bigger and

35
00:03:19,500 --> 00:03:27,750
‫then the normal you one and you four levels could be achieved with the omegle values that are reasonable

36
00:03:28,230 --> 00:03:30,210
‫for this specific drone.

37
00:03:30,810 --> 00:03:40,260
‫And so the minimum omega's the minimum propellor rotational velocities for Ozturk Hummingbird are more

38
00:03:40,260 --> 00:03:41,940
‫or less these ones here.

39
00:03:42,600 --> 00:03:50,970
‫They provide some kind of thrust, but the total thrust will not overcome the weight of the drone.

40
00:03:51,570 --> 00:03:59,730
‫So when the omega's rotate at these values and these values are radians per second, then you will have

41
00:03:59,730 --> 00:04:01,920
‫a drone with rotating propellers.

42
00:04:02,520 --> 00:04:09,750
‫But the drone will be at rest because at these rotational speeds they will not be able to create enough

43
00:04:09,750 --> 00:04:13,400
‫thrust to overcome the weight of the drone.

44
00:04:13,980 --> 00:04:22,680
‫And so how do we convert these units into Newton's second squared and Newton meters second squared?

45
00:04:23,310 --> 00:04:24,500
‫It's actually very easy.

46
00:04:25,050 --> 00:04:30,000
‫So Newton over R.P.M. squared.

47
00:04:30,570 --> 00:04:31,950
‫Now, what is R.P.M.?

48
00:04:32,610 --> 00:04:44,490
‫R.P.M. is rounds per minute like this, but let's call it our Overman and so I can write it down like

49
00:04:44,490 --> 00:04:44,850
‫this.

50
00:04:45,360 --> 00:04:49,950
‫Newton over R squared over min squared.

51
00:04:50,460 --> 00:04:52,200
‫I can also write it down like this.

52
00:04:52,770 --> 00:04:57,090
‫Newton times min squared overwound squared.

53
00:04:57,600 --> 00:04:59,940
‫I can also rewrite it like this Newton.

54
00:05:00,060 --> 00:05:03,610
‫Times, many times, men over our times are.

55
00:05:04,170 --> 00:05:13,560
‫And so in one minute you have 60 seconds, but you had minutes squared, so you have to add one more

56
00:05:13,560 --> 00:05:14,150
‫ratio.

57
00:05:14,730 --> 00:05:20,490
‫And then in one round you have two pie radiance.

58
00:05:21,060 --> 00:05:24,720
‫Right, because around is one circle.

59
00:05:25,080 --> 00:05:26,460
‫It's too pie radians.

60
00:05:26,850 --> 00:05:32,790
‫And again, since we have round squared, then we have to add one more ratio here.

61
00:05:33,330 --> 00:05:39,600
‫And now the minutes cancel out and the rounds cancel out.

62
00:05:40,110 --> 00:05:50,280
‫And so you are left with neutral times, 60 squared, second squared and two pi squared radians squared

63
00:05:50,760 --> 00:05:51,990
‫but radians.

64
00:05:52,410 --> 00:05:53,970
‫It's dimensionless, right.

65
00:05:54,480 --> 00:05:55,710
‫Because what is radians.

66
00:05:56,220 --> 00:05:58,080
‫It's meters over meters.

67
00:05:58,530 --> 00:06:06,240
‫If you have a circle and then you have your circumference and then you have your diameter, then your

68
00:06:06,240 --> 00:06:11,580
‫circumference over diameter will give you pi radians.

69
00:06:12,030 --> 00:06:21,660
‫In other words, it will give you pi meters over meters because the circumference is measured in meters

70
00:06:22,230 --> 00:06:25,290
‫and the diameter of the circle is measured in meters.

71
00:06:25,740 --> 00:06:29,640
‫And so they cancel out and therefore radians is dimensionless.

72
00:06:30,030 --> 00:06:31,380
‫So you can just ignore that.

73
00:06:31,890 --> 00:06:39,120
‫And that's why when you have something in Newton over R.P.M. squared, then if you take that something

74
00:06:39,720 --> 00:06:49,710
‫and you multiply it by 60 over two PI squared, then you will get that quantity in Newton second squared

75
00:06:50,190 --> 00:06:53,760
‫and then will in this case it would be the same thing.

76
00:06:54,330 --> 00:07:03,930
‫It's just you would have had meters here, then meters here, 10 meters here than here and then also

77
00:07:03,930 --> 00:07:05,880
‫here and here.

78
00:07:06,390 --> 00:07:18,950
‫And that's why I multiply these values here by 60 over two pi and all that squared in both cases.

79
00:07:19,500 --> 00:07:24,780
‫And of course, in the latest downloadable file, this has already been modified.

80
00:07:25,260 --> 00:07:26,610
‫So thank you very much.

81
00:07:27,150 --> 00:07:29,120
‫And I'll see you in the next video.

