WEBVTT 00:00:00.408 --> 00:00:01.748 The planetary gear set, 00:00:01.748 --> 00:00:02.718 also known as, 00:00:02.718 --> 00:00:04.256 the epicyclic gear train 00:00:04.256 --> 00:00:05.350 is one of the most 00:00:05.350 --> 00:00:06.410 important and interesting 00:00:06.410 --> 00:00:07.950 inventions in engineering. 00:00:08.510 --> 00:00:09.490 They are great speed 00:00:09.490 --> 00:00:10.811 variation mechanisms 00:00:10.811 --> 00:00:11.782 and are often used in 00:00:11.782 --> 00:00:13.813 automobiles as a vital part of 00:00:13.813 --> 00:00:15.233 automatic transmissions. 00:00:18.585 --> 00:00:19.967 Let's explore the secrets 00:00:19.967 --> 00:00:21.254 of the planetary gear set 00:00:21.254 --> 00:00:22.714 in this video. 00:00:24.694 --> 00:00:26.039 A planetary gear set 00:00:26.039 --> 00:00:27.639 has four main parts: 00:00:28.439 --> 00:00:29.888 the sun, 00:00:30.597 --> 00:00:32.137 planet gears, 00:00:33.034 --> 00:00:34.440 ring gear, 00:00:35.747 --> 00:00:37.100 and carrier. 00:00:37.415 --> 00:00:38.458 You can see 00:00:38.458 --> 00:00:41.188 that it sometimes rotates quickly, 00:00:41.868 --> 00:00:43.262 sometimes slowly, 00:00:46.263 --> 00:00:47.283 and sometimes 00:00:47.283 --> 00:00:48.873 even in reverse. 00:00:50.203 --> 00:00:52.564 But, how does this happen? 00:00:52.564 --> 00:00:53.474 You will be able 00:00:53.474 --> 00:00:54.464 to predict the motion 00:00:54.464 --> 00:00:55.726 of this gear set completely, 00:00:55.726 --> 00:00:56.746 if you understand 00:00:56.746 --> 00:00:58.543 one simple fact! 00:00:59.213 --> 00:01:00.323 When two gears 00:01:00.323 --> 00:01:01.522 are moving as shown, 00:01:01.522 --> 00:01:02.362 they should have 00:01:02.362 --> 00:01:03.362 the same speed 00:01:03.362 --> 00:01:05.013 at the interface. 00:01:05.013 --> 00:01:06.003 This means, 00:01:06.003 --> 00:01:07.405 that the speed of gear A, 00:01:07.405 --> 00:01:08.494 should be the same 00:01:08.494 --> 00:01:09.493 as gear B, 00:01:09.493 --> 00:01:11.523 at their mating point. 00:01:17.149 --> 00:01:18.049 The speed 00:01:18.049 --> 00:01:19.612 has to be the same 00:01:19.612 --> 00:01:20.612 otherwise, 00:01:20.612 --> 00:01:21.612 the gear teeth will penetrate 00:01:21.612 --> 00:01:22.990 each other as shown. 00:01:22.990 --> 00:01:25.806 That is an impossible condition. 00:01:26.868 --> 00:01:28.118 Just apply this fact 00:01:28.118 --> 00:01:29.630 to planetary gear sets, 00:01:29.630 --> 00:01:30.754 and you will be able 00:01:30.754 --> 00:01:31.759 to predict how 00:01:31.759 --> 00:01:33.844 speed variation is achieved. 00:01:35.884 --> 00:01:37.274 Assume that the ring gear 00:01:37.274 --> 00:01:38.444 is held stationary 00:01:38.444 --> 00:01:40.280 and we rotate the sun gear. 00:01:43.930 --> 00:01:45.168 Think of what happens 00:01:45.168 --> 00:01:46.828 to the planet gears! 00:01:47.968 --> 00:01:48.968 At point A, 00:01:48.968 --> 00:01:49.968 the planet gear 00:01:49.968 --> 00:01:51.746 should have a certain speed 00:01:51.746 --> 00:01:53.123 and at point B, 00:01:53.123 --> 00:01:54.343 the speed should be zero, 00:01:54.343 --> 00:01:56.493 as the ring gear is stationary. 00:01:57.003 --> 00:01:57.831 However, 00:01:57.831 --> 00:01:58.561 how are both 00:01:58.561 --> 00:01:59.511 of these conditions 00:01:59.511 --> 00:02:01.411 possible at the same time? 00:02:01.741 --> 00:02:03.751 There is only one way, 00:02:03.751 --> 00:02:04.831 the planet gear 00:02:04.831 --> 00:02:07.556 should spin as well as turn! 00:02:07.556 --> 00:02:08.843 The spinning will produce 00:02:08.843 --> 00:02:10.803 velocities in opposite [directions] 00:02:10.803 --> 00:02:12.283 at the top and bottom points, 00:02:12.283 --> 00:02:13.823 as shown, 00:02:13.823 --> 00:02:15.063 whereas, the turning 00:02:15.063 --> 00:02:17.393 produces unidirectional velocities 00:02:18.853 --> 00:02:19.872 at the top, 00:02:19.872 --> 00:02:21.602 the spinning and turning velocities 00:02:21.602 --> 00:02:23.451 are in opposite directions, 00:02:23.451 --> 00:02:24.451 so the velocity of 00:02:24.451 --> 00:02:25.850 point B is zero. 00:02:25.850 --> 00:02:27.083 At the bottom, 00:02:27.083 --> 00:02:29.733 they get added up. 00:02:29.733 --> 00:02:30.871 In short, 00:02:30.871 --> 00:02:31.981 the Planet gears 00:02:31.981 --> 00:02:33.192 are forced to turn 00:02:33.192 --> 00:02:34.372 in order to satisfy 00:02:34.372 --> 00:02:35.874 the condition of velocity. 00:02:35.874 --> 00:02:37.606 As the carrier is attached 00:02:37.606 --> 00:02:40.816 to the planet gear 00:02:40.816 --> 00:02:43.335 it will turn along 00:02:43.335 --> 00:02:45.854 with the planet gears. 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 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 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. 00:03:01.044 --> 00:03:06.696 in This case the planetary Spin will reverse in order to satisfy the speed conditions 00:03:08.995 --> 00:03:11.735 However this case has one more difference 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 00:03:18.214 --> 00:03:21.771 This is obvious as the ring gear radius is higher 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 00:03:36.570 --> 00:03:40.366 Let's now explore this reverse mechanism of Planet Gears 00:03:42.580 --> 00:03:46.690 For this what you have to do is just arrest the motion of the carrier 00:03:47.997 --> 00:03:53.146 This means the Planet gears are not allowed to turn and can only spin 00:03:55.019 --> 00:03:58.441 This Spin will be opposite to the rotation of the sun gear 00:03:59.633 --> 00:04:04.282 This spinning Planet Gear will make the ring gear rotate in the same Direction 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 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 00:04:22.628 --> 00:04:25.699 This is practically difficult in an actual mechanism 00:04:26.527 --> 00:04:29.080 in an automatic transmission [to] achieve this 00:04:29.080 --> 00:04:35.209 Three planetary gear sets are connected in series as shown with coaxial Shafts 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 00:04:41.818 --> 00:04:44.663 Watch our video on automatic transmission 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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