0:00:00.408,0:00:01.728 The planetary gear set, 0:00:01.728,0:00:02.718 also known as, 0:00:02.718,0:00:04.256 the epicyclic gear train 0:00:04.256,0:00:05.350 is one of the most 0:00:05.350,0:00:06.410 important and interesting 0:00:06.410,0:00:07.950 inventions in engineering. 0:00:08.510,0:00:09.490 They are great speed [br] 0:00:09.490,0:00:10.811 variation mechanisms 0:00:10.811,0:00:11.782 and are often used in 0:00:11.782,0:00:13.813 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 0:00:19.967,0:00:21.254 of the planetary gear set 0:00:21.254,0:00:22.714 in this video. 0:00:24.694,0:00:26.039 A planetary gear set 0:00:26.039,0:00:27.639 has four main parts: 0:00:28.299,0:00:29.868 the sun, 0:00:30.597,0:00:32.087 planet gears, 0:00:33.034,0:00:34.370 ring gear, 0:00:35.747,0:00:36.790 and carrier. 0:00:37.415,0:00:38.458 You can see 0:00:38.458,0:00:41.188 that it sometimes rotates quickly, 0:00:41.868,0:00:43.262 sometimes slowly, 0:00:46.213,0:00:47.283 and sometimes 0:00:47.283,0:00:48.873 even in reverse. 0:00:50.203,0:00:52.564 But, how does this happen? 0:00:52.564,0:00:53.474 You will be able 0:00:53.474,0:00:54.464 to predict the motion[br] 0:00:54.464,0:00:55.726 of this gear set completely, 0:00:55.726,0:00:56.746 if you understand 0:00:56.746,0:00:58.543 one simple fact! 0:00:59.373,0:01:01.522 When two gears are moving as shown 0:01:01.522,0:01:02.362 they should have 0:01:02.362,0:01:05.193 the same speed at the interface. 0:01:05.193,0:01:07.445 This means that the speed of gear A 0:01:07.445,0:01:09.323 should be the same as gear B[br] 0:01:09.323,0:01:11.523 at their mating point. 0:01:17.179,0:01:19.612 The speed 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. 0:01:27.018,0:01:28.118 Just apply this fact 0:01:28.118,0:01:29.630 to planetary gear sets, 0:01:29.630,0:01:31.274 and you will be able to predict 0:01:31.274,0:01:33.454 how speed variation is achieved. 0:01:36.034,0:01:37.494 Assume that the ring gear 0:01:37.494,0:01:41.044 is held stationary 0:01:41.174,0:01:44.130 and we rotate the sun gear. 0:01:44.130,0:01:46.742 Think of what happens to the planet gears: 0:01:48.438,0:01:51.746 At point A the planet gear should[br]have a certain speed 0:01:51.746,0:01:56.560 and at point B the speed should be [br]zero as the ring gear is stationary. 0:01:57.163,0:02:01.163 However, how are both of these conditions[br]possible at the same time? 0:02:01.961,0:02:07.161 There is only one way the planet gear should spin as well as turn 0:02:07.766,0:02:13.595 The spinning will produce velocities in opposite [directions] at the top and bottom points as shown 0:02:13.943,0:02:17.695 Whereas the turning Produces unidirectional velocities 0:02:19.073,0:02:26.143 at the top the spinning and turning velocities are in opposite directions, so the velocity [of] point B is zero. 0:02:26.822,0:02:29.230 at The bottom they get added up 0:02:30.083,0:02:36.382 in short the Planet gears are forced to turn in order to satisfy the condition of velocity. 0:02:36.541,0:02:41.806 as The carrier is attached to the planet gear it will turn along with the planet Gears 0:02:42.816,0:02:48.373 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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