0:00:00.308,0:00:01.748 The planetary gear set, 0:00:01.748,0:00:02.718 also known as, 0:00:02.718,0:00:04.256 the epicyclic gear train 0:00:04.256,0:00:05.260 is one of the most 0:00:05.260,0:00:06.470 important and interesting 0:00:06.470,0:00:08.350 inventions in engineering. 0:00:08.350,0:00:09.490 They are great speed [br] 0:00:09.490,0:00:10.811 variation mechanisms 0:00:10.811,0:00:11.882 and are often used in 0:00:11.882,0:00:13.813 automobiles as a vital part of 0:00:13.813,0:00:15.233 automatic transmissions. 0:00:18.585,0:00:19.967 Let's explore the secrets 0:00:19.967,0:00:21.284 of the planetary gear set 0:00:21.284,0:00:22.804 in this video! 0:00:24.694,0:00:26.129 A planetary gear set 0:00:26.129,0:00:28.029 has four main parts: 0:00:28.479,0:00:29.938 the sun, 0:00:30.368,0:00:31.877 planet gears, 0:00:32.957,0:00:34.537 ring gear, 0:00:35.537,0:00:37.140 and carrier. 0:00:37.405,0:00:38.408 You can see that it 0:00:38.408,0:00:40.528 sometimes rotates quickly, 0:00:41.708,0:00:43.882 sometimes slowly, 0:00:46.023,0:00:47.283 and sometimes 0:00:47.283,0:00:48.873 even in reverse. 0:00:50.203,0:00:52.494 But, how does this happen? 0:00:52.494,0:00:53.474 You will be able 0:00:53.474,0:00:54.514 to predict the motion[br] 0:00:54.514,0:00:55.896 of this gear set completely, 0:00:55.896,0:00:56.836 if you understand 0:00:56.836,0:00:58.473 one simple fact! 0:00:59.103,0:01:00.303 When two gears 0:01:00.303,0:01:01.522 are moving as shown, 0:01:01.522,0:01:02.362 they should have 0:01:02.362,0:01:03.362 the same speed 0:01:03.362,0:01:04.943 at the interface. 0:01:04.943,0:01:06.073 This means, that the 0:01:06.073,0:01:07.503 speed of gear A, 0:01:07.503,0:01:08.494 should be the same [br] 0:01:08.494,0:01:09.493 as gear B, 0:01:09.493,0:01:11.523 at their mating point. 0:01:17.149,0:01:18.049 The speed 0:01:18.049,0:01:19.612 has to be the same 0:01:19.612,0:01:20.612 otherwise, 0:01:20.612,0:01:21.612 the gear teeth will penetrate 0:01:21.612,0:01:22.990 each other as shown. 0:01:22.990,0:01:25.806 That is an impossible condition. 0:01:26.868,0:01:28.118 Just apply this fact 0:01:28.118,0:01:29.630 to planetary gear sets, 0:01:29.630,0:01:30.754 and you will be able 0:01:30.754,0:01:31.759 to predict how 0:01:31.759,0:01:33.844 speed variation is achieved. 0:01:35.884,0:01:37.274 Assume that the ring gear 0:01:37.274,0:01:38.444 is held stationary 0:01:38.444,0:01:40.280 and we rotate the sun gear. 0:01:43.930,0:01:45.168 Think of what happens 0:01:45.168,0:01:46.828 to the planet gears! 0:01:47.968,0:01:48.968 At point A, 0:01:48.968,0:01:49.968 the planet gear 0:01:49.968,0:01:51.746 should have a certain speed 0:01:51.746,0:01:53.123 and at point B, 0:01:53.123,0:01:54.343 the speed should be zero,[br] 0:01:54.343,0:01:55.343 as the ring gear 0:01:55.343,0:01:56.963 is stationary. 0:01:56.963,0:01:57.741 However, 0:01:57.741,0:01:58.531 how are both 0:01:58.531,0:01:59.511 of these conditions[br] 0:01:59.511,0:02:01.411 possible at the same time? 0:02:01.741,0:02:03.751 There is only one way, 0:02:03.751,0:02:04.831 the planet gear 0:02:04.831,0:02:07.556 should spin as well as turn! 0:02:07.556,0:02:08.843 The spinning will produce 0:02:08.843,0:02:10.803 velocities in opposite [directions] 0:02:10.803,0:02:12.283 at the top and bottom points, 0:02:12.283,0:02:13.793 as shown, 0:02:13.793,0:02:15.033 whereas, the turning 0:02:15.033,0:02:17.393 produces unidirectional velocities. 0:02:18.853,0:02:19.872 At the top, 0:02:19.872,0:02:21.602 the spinning and turning velocities 0:02:21.602,0:02:23.451 are in opposite directions, 0:02:23.451,0:02:24.451 so the velocity of 0:02:24.451,0:02:25.850 point B is zero. 0:02:25.850,0:02:27.083 At the bottom, 0:02:27.083,0:02:29.733 they get added up. 0:02:29.733,0:02:30.871 In short, 0:02:30.871,0:02:31.981 the Planet gears 0:02:31.981,0:02:33.192 are forced to turn 0:02:33.192,0:02:34.372 in order to satisfy 0:02:34.372,0:02:35.734 the condition of velocity. 0:02:35.734,0:02:37.506 As the carrier is attached 0:02:37.506,0:02:38.966 to the planet gear 0:02:38.966,0:02:40.235 it will turn along 0:02:40.235,0:02:42.394 with the planet gears. 0:02:45.854,0:02:48.373 Now let's see what happens when the sun gear is held stationary and the ring gear is rotated 0:02:50.397,0:02:55.636 This is the exact opposite to the previous case at the inner point of the planet gear 0:02:55.636,0:03:01.044 the Velocity should be zero and the outer points should have the speed of the ring gear. 0:03:01.044,0:03:06.696 in This case the planetary Spin will reverse in order to satisfy the speed conditions 0:03:08.995,0:03:11.735 However this case has one more difference 0:03:12.288,0:03:17.546 The speed of point B. Will be higher than [the] speed of point A in the previous case 0:03:18.214,0:03:21.771 This is obvious as the ring gear radius is higher 0:03:26.156,0:03:33.763 This will make the planet gear spin and turn at a higher speed thus the carrier will turn at a higher speed 0:03:36.570,0:03:40.366 Let's now explore this reverse mechanism of Planet Gears 0:03:42.580,0:03:46.690 For this what you have to do is just arrest the motion of the carrier 0:03:47.997,0:03:53.146 This means the Planet gears are not allowed to turn and can only spin 0:03:55.019,0:03:58.441 This Spin will be opposite to the rotation of the sun gear 0:03:59.633,0:04:04.282 This spinning Planet Gear will make the ring gear rotate in the same Direction 0:04:04.621,0:04:12.017 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 0:04:15.373,0:04:22.628 Here you can note that in order to achieve different speeds the input must be given to different parts of the planetary gearset 0:04:22.628,0:04:25.699 This is practically difficult in an actual mechanism 0:04:26.527,0:04:29.080 in an automatic transmission [to] achieve this 0:04:29.080,0:04:35.209 Three planetary gear sets are connected in series as shown with coaxial Shafts 0:04:35.700,0:04:41.818 To understand how this arrangement effectively transfers the input rotation to different parts of the planetary gearset 0:04:41.818,0:04:44.663 Watch our video on automatic transmission 0:04:45.608,0:04:49.608 Your support on patreon.com is greatly appreciated to make our educational service sustainable. 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