1 00:00:00,408 --> 00:00:01,728 The planetary gear set, 2 00:00:01,728 --> 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 --> 00:00:05,350 is one of the most 5 00:00:05,350 --> 00:00:06,410 important and interesting 6 00:00:06,410 --> 00:00:07,950 inventions in engineering. 7 00:00:08,510 --> 00:00:09,490 They are great speed 8 00:00:09,490 --> 00:00:10,811 variation mechanisms 9 00:00:10,811 --> 00:00:11,782 and are often used in 10 00:00:11,782 --> 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 00:00:28,299 --> 00:00:29,868 the sun, 18 00:00:30,597 --> 00:00:32,087 planet gears, 19 00:00:33,034 --> 00:00:34,370 ring gear, 20 00:00:35,747 --> 00:00:36,790 and carrier. 21 00:00:37,415 --> 00:00:38,458 You can see 22 00:00:38,458 --> 00:00:41,188 that it sometimes rotates quickly, 23 00:00:41,868 --> 00:00:43,262 sometimes slowly, 24 00:00:46,213 --> 00:00:47,283 and sometimes 25 00:00:47,283 --> 00:00:48,873 even in reverse. 26 00:00:50,203 --> 00:00:52,564 But, how does this happen? 27 00:00:52,564 --> 00:00:53,474 You will be able 28 00:00:53,474 --> 00:00:54,464 to predict the motion 29 00:00:54,464 --> 00:00:55,726 of this gear set completely, 30 00:00:55,726 --> 00:00:56,746 if you understand 31 00:00:56,746 --> 00:00:59,523 one simple fact! 32 00:00:59,523 --> 00:01:01,732 When two gears are moving as shown 33 00:01:01,732 --> 00:01:04,765 they should have the same speed at the interface. 34 00:01:05,223 --> 00:01:07,585 This means that the speed of gear A 35 00:01:07,585 --> 00:01:10,603 should be the same as gear B at their mating point. 36 00:01:17,589 --> 00:01:19,612 The speed has to be the same 37 00:01:19,612 --> 00:01:23,270 otherwise the gear teeth will penetrate each other as shown 38 00:01:23,270 --> 00:01:25,806 that is an impossible condition. 39 00:01:27,118 --> 00:01:29,630 Just apply this fact to planetary gear sets, 40 00:01:29,630 --> 00:01:33,574 and you will be able to predict how speed variation is achieved. 41 00:01:36,174 --> 00:01:40,174 Assume that the ring gear is held stationary and we rotate the sun gear. 42 00:01:44,130 --> 00:01:46,742 Think of what happens to the planet gears: 43 00:01:48,438 --> 00:01:51,746 At point A the planet gear should have a certain speed 44 00:01:51,746 --> 00:01:56,560 and at point B the speed should be zero as the ring gear is stationary. 45 00:01:57,163 --> 00:02:01,163 However, how are both of these conditions possible at the same time? 46 00:02:01,961 --> 00:02:07,161 There is only one way the planet gear should spin as well as turn 47 00:02:07,766 --> 00:02:13,595 The spinning will produce velocities in opposite [directions] at the top and bottom points as shown 48 00:02:13,943 --> 00:02:17,695 Whereas the turning Produces unidirectional velocities 49 00:02:19,073 --> 00:02:26,143 at the top the spinning and turning velocities are in opposite directions, so the velocity [of] point B is zero. 50 00:02:26,822 --> 00:02:29,230 at The bottom they get added up 51 00:02:30,083 --> 00:02:36,382 in short the Planet gears are forced to turn in order to satisfy the condition of velocity. 52 00:02:36,541 --> 00:02:41,806 as The carrier is attached to the planet gear it will turn along with the planet Gears 53 00:02:42,816 --> 00:02:48,373 Now let's see what happens when the sun gear is held stationary and the ring gear is rotated 54 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 55 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. 56 00:03:01,044 --> 00:03:06,696 in This case the planetary Spin will reverse in order to satisfy the speed conditions 57 00:03:08,995 --> 00:03:11,735 However this case has one more difference 58 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 59 00:03:18,214 --> 00:03:21,771 This is obvious as the ring gear radius is higher 60 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 61 00:03:36,570 --> 00:03:40,366 Let's now explore this reverse mechanism of Planet Gears 62 00:03:42,580 --> 00:03:46,690 For this what you have to do is just arrest the motion of the carrier 63 00:03:47,997 --> 00:03:53,146 This means the Planet gears are not allowed to turn and can only spin 64 00:03:55,019 --> 00:03:58,441 This Spin will be opposite to the rotation of the sun gear 65 00:03:59,633 --> 00:04:04,282 This spinning Planet Gear will make the ring gear rotate in the same Direction 66 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 67 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 68 00:04:22,628 --> 00:04:25,699 This is practically difficult in an actual mechanism 69 00:04:26,527 --> 00:04:29,080 in an automatic transmission [to] achieve this 70 00:04:29,080 --> 00:04:35,209 Three planetary gear sets are connected in series as shown with coaxial Shafts 71 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 72 00:04:41,818 --> 00:04:44,663 Watch our video on automatic transmission 73 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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