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 0:00:19.967,0:00:21.234 of the planetary gear set 0:00:21.234,0:00:22.834 in this video! 0:00:24.664,0:00:26.129 A planetary gear set 0:00:26.129,0:00:28.029 has four main parts: 0:00:28.479,0:00:30.038 the sun, 0:00:30.368,0:00:31.897 planet gears, 0:00:32.867,0:00:34.537 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! 0:00:59.123,0:01:00.273 When two gears 0:01:00.273,0:01:01.522 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, 0:01:09.493,0:01:11.393 at their mating point. 0:01:17.139,0:01:18.409 The speed has to be 0:01:18.409,0:01:19.322 the same, 0:01:19.322,0:01:20.302 otherwise, 0:01:20.302,0:01:21.321 the gear teeth will 0:01:21.321,0:01:22.340 penetrate each other 0:01:22.340,0:01:23.550 as shown. 0:01:23.550,0:01:25.806 That is an impossible condition. 0:01:26.818,0:01:28.108 Just apply this fact 0:01:28.108,0:01:29.540 to planetary gear sets, 0:01:29.540,0:01:31.024 and you will be able to predict 0:01:31.024,0:01:32.434 how speed variation 0:01:32.434,0:01:34.124 is achieved. 0:01:35.864,0:01:37.254 Assume that the ring gear 0:01:37.254,0:01:38.374 is held stationary 0:01:38.374,0:01:40.280 and we rotate the sun gear. 0:01:43.930,0:01:45.168 Think of what happens 0:01:45.168,0:01:46.858 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] 0:01:59.511,0:02:01.751 possible at the same time? 0:02:01.751,0:02:03.661 There is only one way, 0:02:03.661,0:02:04.801 the planet gear 0:02:04.801,0:02:07.556 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] 0:02:10.803,0:02:12.273 at the top and bottom points, 0:02:12.273,0:02:13.723 as shown, 0:02:13.723,0:02:14.993 whereas, the turning 0:02:14.993,0:02:17.523 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 0:02:24.451,0:02:25.930 point B is zero. 0:02:26.450,0:02:27.313 At the bottom, 0:02:27.313,0:02:29.053 they get added up. 0:02:29.783,0:02:30.781 In short, 0:02:30.781,0:02:31.941 the planet gears 0:02:31.941,0:02:33.192 are forced to turn 0:02:33.192,0:02:34.372 in order to satisfy 0:02:34.372,0:02:36.024 the condition of velocity. 0:02:36.024,0:02:37.506 As the carrier is attached 0:02:37.506,0:02:38.966 to the planet gear 0:02:38.966,0:02:40.185 it will turn along 0:02:40.185,0:02:42.074 with the planet gears. 0:02:42.674,0:02:44.056 Now, let's see what happens, 0:02:44.056,0:02:45.137 when the sun gear 0:02:45.137,0:02:46.310 is held stationary 0:02:46.310,0:02:48.473 and the ring gear is rotated. 0:02:50.363,0:02:51.743 This is the exact opposite 0:02:51.743,0:02:53.056 to the previous case. 0:02:53.056,0:02:54.266 At the inner point 0:02:54.266,0:02:55.490 of the planet gear, 0:02:55.490,0:02:57.150 the velocity should be zero 0:02:57.150,0:02:58.489 and the outer points 0:02:58.489,0:02:59.729 should have the speed 0:02:59.729,0:03:00.978 of the ring gear. 0:03:00.978,0:03:02.165 In this case, 0:03:02.165,0:03:03.225 the planetary spin 0:03:03.225,0:03:04.065 will reverse 0:03:04.065,0:03:05.169 in order to satisfy 0:03:05.169,0:03:06.622 the speed conditions. 0:03:08.722,0:03:09.590 However, 0:03:09.590,0:03:10.280 this case, 0:03:10.280,0:03:11.958 has one more difference. 0:03:11.958,0:03:13.546 The speed of point B, 0:03:13.546,0:03:14.516 will be higher 0:03:14.516,0:03:16.128 than [the] speed of point A 0:03:16.128,0:03:17.850 in the previous case. 0:03:17.850,0:03:18.973 This is obvious, 0:03:18.973,0:03:20.373 as the ring gear radius 0:03:20.373,0:03:21.333 is higher. 0:03:25.949,0:03:28.949 This will make the 0:03:31.657,0:03:33.570 planet gear spin 0:03:33.570,0:03:34.570 and turn at a higher speed. 0:03:34.570,0:03:36.502 Thus the carrier 0:03:36.502,0:03:38.434 will turn at a higher speed. 0:03:38.434,0:03:39.580 Let's now explore 0:03:39.580,0:03:40.580 this reverse mechanism 0:03:40.580,0:03:42.580 of planet gears. 0:03:42.580,0:03:44.997 For this, what you have to do is just arrest the motion of the carrier 0:03:44.997,0:03:45.997 what you have to do 0:03:45.997,0:03:48.380 is just arrest 0:03:48.380,0:03:50.763 the motion of the carrier. 0:03:50.763,0:03:52.019 This means, 0:03:52.019,0:03:53.019 the planet gears 0:03:53.019,0:03:54.826 are not allowed to turn 0:03:54.826,0:03:56.633 and can only spin. 0:03:56.633,0:03:57.633 This Spin will be opposite 0:03:57.633,0:03:59.633 to the rotation of the sun gear. 0:03:59.633,0:04:01.621 This spinning planet gear 0:04:01.621,0:04:02.621 will make the ring gear 0:04:02.621,0:04:04.621 rotate in the same direction. 0:04:04.621,0:04:12.017 In short, 0:04:12.124,0:04:13.124 the direction of rotation 0:04:13.124,0:04:14.124 of the ring Gear 0:04:14.124,0:04:16.958 will be the opposite 0:04:16.958,0:04:17.958 to the sun gear 0:04:17.958,0:04:19.514 thus we will get 0:04:19.514,0:04:21.071 the reverse gear. 0:04:21.071,0:04:22.613 Here you can note, 0:04:22.613,0:04:23.641 that in order to achieve 0:04:23.641,0:04:24.327 different speeds, the input must be given to different parts of the planetary gearset 0:04:24.327,0:04:24.784 the input must be given 0:04:24.784,0:04:25.089 to different parts 0:04:25.089,0:04:25.394 of the planetary gear set. 0:04:25.394,0:04:26.622 This is practically difficult 0:04:26.622,0:04:27.851 in an actual mechanism. 0:04:27.851,0:04:30.303 In an automatic transmission, 0:04:30.303,0:04:32.756 to achieve this, 0:04:32.756,0:04:33.756 three planetary gear sets 0:04:33.756,0:04:36.443 are connected in series 0:04:36.443,0:04:39.130 as shown with coaxial shafts. 0:04:39.130,0:04:40.130 To understand 0:04:40.130,0:04:41.641 how this arrangement 0:04:41.641,0:04:42.648 effectively transfers 0:04:42.648,0:04:43.319 the input rotation 0:04:43.319,0:04:43.767 to different parts 0:04:43.767,0:04:44.215 of the planetary gear set, 0:04:44.215,0:04:46.012 Watch our video on automatic transmission 0:04:46.012,0:04:47.810 on automatic transmission. 9:59:59.000,9:59:59.000 Your support on 9:59:59.000,9:59:59.000 is greatly appreciated to make 9:59:59.000,9:59:59.000 our educational service sustainable. 9:59:59.000,9:59:59.000 Thank you.