1 00:00:00,318 --> 00:00:01,748 The planetary gear set, 2 00:00:01,748 --> 00:00:02,718 also known as, 3 00:00:02,718 --> 00:00:04,256 the epicyclic gear train 4 00:00:04,256 --> 00:00:05,260 is one of the most 5 00:00:05,260 --> 00:00:06,470 important and interesting 6 00:00:06,470 --> 00:00:08,000 inventions in engineering. 7 00:00:08,420 --> 00:00:09,490 They are great speed 8 00:00:09,490 --> 00:00:10,811 variation mechanisms 9 00:00:10,811 --> 00:00:11,882 and are often used in 10 00:00:11,882 --> 00:00:13,813 automobiles as a vital part of 11 00:00:13,813 --> 00:00:15,233 automatic transmissions. 12 00:00:18,585 --> 00:00:19,967 Let's explore the secrets 13 00:00:19,967 --> 00:00:21,254 of the planetary gear set 14 00:00:21,254 --> 00:00:22,714 in this video. 15 00:00:24,694 --> 00:00:26,039 A planetary gear set 16 00:00:26,039 --> 00:00:27,639 has four main parts: 17 00:00:28,439 --> 00:00:29,888 the sun, 18 00:00:30,597 --> 00:00:32,137 planet gears, 19 00:00:33,034 --> 00:00:34,440 ring gear, 20 00:00:35,627 --> 00:00:37,100 and carrier. 21 00:00:37,415 --> 00:00:38,358 You can see 22 00:00:38,358 --> 00:00:39,338 that it sometimes 23 00:00:39,338 --> 00:00:40,818 rotates quickly, 24 00:00:41,708 --> 00:00:43,102 sometimes slowly, 25 00:00:46,263 --> 00:00:47,283 and sometimes 26 00:00:47,283 --> 00:00:48,873 even in reverse. 27 00:00:50,203 --> 00:00:52,564 But, how does this happen? 28 00:00:52,564 --> 00:00:53,474 You will be able 29 00:00:53,474 --> 00:00:54,464 to predict the motion 30 00:00:54,464 --> 00:00:55,726 of this gear set completely, 31 00:00:55,726 --> 00:00:56,746 if you understand 32 00:00:56,746 --> 00:00:58,543 one simple fact! 33 00:00:59,213 --> 00:01:00,323 When two gears 34 00:01:00,323 --> 00:01:01,522 are moving as shown, 35 00:01:01,522 --> 00:01:02,362 they should have 36 00:01:02,362 --> 00:01:03,362 the same speed 37 00:01:03,362 --> 00:01:05,013 at the interface. 38 00:01:05,013 --> 00:01:06,003 This means, 39 00:01:06,003 --> 00:01:07,405 that the speed of gear A, 40 00:01:07,405 --> 00:01:08,494 should be the same 41 00:01:08,494 --> 00:01:09,493 as gear B, 42 00:01:09,493 --> 00:01:11,523 at their mating point. 43 00:01:17,149 --> 00:01:18,049 The speed 44 00:01:18,049 --> 00:01:19,612 has to be the same 45 00:01:19,612 --> 00:01:20,612 otherwise, 46 00:01:20,612 --> 00:01:21,612 the gear teeth will penetrate 47 00:01:21,612 --> 00:01:22,990 each other as shown. 48 00:01:22,990 --> 00:01:25,806 That is an impossible condition. 49 00:01:26,868 --> 00:01:28,118 Just apply this fact 50 00:01:28,118 --> 00:01:29,630 to planetary gear sets, 51 00:01:29,630 --> 00:01:30,754 and you will be able 52 00:01:30,754 --> 00:01:31,759 to predict how 53 00:01:31,759 --> 00:01:33,844 speed variation is achieved. 54 00:01:35,884 --> 00:01:37,274 Assume that the ring gear 55 00:01:37,274 --> 00:01:38,444 is held stationary 56 00:01:38,444 --> 00:01:40,280 and we rotate the sun gear. 57 00:01:43,930 --> 00:01:45,168 Think of what happens 58 00:01:45,168 --> 00:01:46,828 to the planet gears! 59 00:01:47,968 --> 00:01:48,968 At point A, 60 00:01:48,968 --> 00:01:49,968 the planet gear 61 00:01:49,968 --> 00:01:51,746 should have a certain speed 62 00:01:51,746 --> 00:01:53,123 and at point B, 63 00:01:53,123 --> 00:01:54,343 the speed should be zero, 64 00:01:54,343 --> 00:01:55,343 as the ring gear 65 00:01:55,343 --> 00:01:56,963 is stationary. 66 00:01:56,963 --> 00:01:57,741 However, 67 00:01:57,741 --> 00:01:58,531 how are both 68 00:01:58,531 --> 00:01:59,511 of these conditions 69 00:01:59,511 --> 00:02:01,411 possible at the same time? 70 00:02:01,741 --> 00:02:03,751 There is only one way, 71 00:02:03,751 --> 00:02:04,831 the planet gear 72 00:02:04,831 --> 00:02:07,556 should spin as well as turn! 73 00:02:07,556 --> 00:02:08,843 The spinning will produce 74 00:02:08,843 --> 00:02:10,803 velocities in opposite [directions] 75 00:02:10,803 --> 00:02:12,283 at the top and bottom points, 76 00:02:12,283 --> 00:02:13,793 as shown, 77 00:02:13,793 --> 00:02:15,033 whereas, the turning 78 00:02:15,033 --> 00:02:17,393 produces unidirectional velocities. 79 00:02:18,853 --> 00:02:19,872 At the top, 80 00:02:19,872 --> 00:02:21,602 the spinning and turning velocities 81 00:02:21,602 --> 00:02:23,451 are in opposite directions, 82 00:02:23,451 --> 00:02:24,451 so the velocity of 83 00:02:24,451 --> 00:02:25,850 point B is zero. 84 00:02:25,850 --> 00:02:27,083 At the bottom, 85 00:02:27,083 --> 00:02:29,733 they get added up. 86 00:02:29,733 --> 00:02:30,871 In short, 87 00:02:30,871 --> 00:02:31,981 the Planet gears 88 00:02:31,981 --> 00:02:33,192 are forced to turn 89 00:02:33,192 --> 00:02:34,372 in order to satisfy 90 00:02:34,372 --> 00:02:35,734 the condition of velocity. 91 00:02:35,734 --> 00:02:37,506 As the carrier is attached 92 00:02:37,506 --> 00:02:38,966 to the planet gear 93 00:02:38,966 --> 00:02:40,235 it will turn along 94 00:02:40,235 --> 00:02:42,394 with the planet gears. 95 00:02:45,854 --> 00:02:48,373 Now let's see what happens when the sun gear is held stationary and the ring gear is rotated 96 00:02:50,397 --> 00:02:55,636 This is the exact opposite to the previous case at the inner point of the planet gear 97 00:02:55,636 --> 00:03:01,044 the Velocity should be zero and the outer points should have the speed of the ring gear. 98 00:03:01,044 --> 00:03:06,696 in This case the planetary Spin will reverse in order to satisfy the speed conditions 99 00:03:08,995 --> 00:03:11,735 However this case has one more difference 100 00:03:12,288 --> 00:03:17,546 The speed of point B. Will be higher than [the] speed of point A in the previous case 101 00:03:18,214 --> 00:03:21,771 This is obvious as the ring gear radius is higher 102 00:03:26,156 --> 00:03:33,763 This will make the planet gear spin and turn at a higher speed thus the carrier will turn at a higher speed 103 00:03:36,570 --> 00:03:40,366 Let's now explore this reverse mechanism of Planet Gears 104 00:03:42,580 --> 00:03:46,690 For this what you have to do is just arrest the motion of the carrier 105 00:03:47,997 --> 00:03:53,146 This means the Planet gears are not allowed to turn and can only spin 106 00:03:55,019 --> 00:03:58,441 This Spin will be opposite to the rotation of the sun gear 107 00:03:59,633 --> 00:04:04,282 This spinning Planet Gear will make the ring gear rotate in the same Direction 108 00:04:04,621 --> 00:04:12,017 In short the direction of rotation of the ring Gear will be the opposite to the sun gear thus we will get the reverse gear 109 00:04:15,373 --> 00:04:22,628 Here you can note that in order to achieve different speeds the input must be given to different parts of the planetary gearset 110 00:04:22,628 --> 00:04:25,699 This is practically difficult in an actual mechanism 111 00:04:26,527 --> 00:04:29,080 in an automatic transmission [to] achieve this 112 00:04:29,080 --> 00:04:35,209 Three planetary gear sets are connected in series as shown with coaxial Shafts 113 00:04:35,700 --> 00:04:41,818 To understand how this arrangement effectively transfers the input rotation to different parts of the planetary gearset 114 00:04:41,818 --> 00:04:44,663 Watch our video on automatic transmission 115 00:04:45,608 --> 00:04:49,608 Your support on patreon.com is greatly appreciated to make our educational service sustainable. 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