WEBVTT 00:00:00.408 --> 00:00:01.728 The planetary gear set, 00:00:01.728 --> 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: 00:00:28.299 --> 00:00:29.868 the sun, 00:00:30.597 --> 00:00:32.087 planet gears, 00:00:33.034 --> 00:00:34.370 ring gear, 00:00:35.747 --> 00:00:36.790 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, 00:00:46.213 --> 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! 00:00:59.373 --> 00:01:01.522 When two gears are moving as shown 00:01:01.522 --> 00:01:02.362 they should have 00:01:02.362 --> 00:01:05.193 the same speed at the interface. 00:01:05.193 --> 00:01:07.445 This means that the speed of gear A 00:01:07.445 --> 00:01:09.323 should be the same as gear B 00:01:09.323 --> 00:01:11.523 at their mating point. 00:01:17.179 --> 00:01:19.612 The speed 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. 00:01:27.018 --> 00:01:28.118 Just apply this fact 00:01:28.118 --> 00:01:29.630 to planetary gear sets, 00:01:29.630 --> 00:01:31.274 and you will be able to predict 00:01:31.274 --> 00:01:33.454 how speed variation is achieved. 00:01:36.034 --> 00:01:37.494 Assume that the ring gear 00:01:37.494 --> 00:01:41.044 is held stationary 00:01:41.174 --> 00:01:44.130 and we rotate the sun gear. 00:01:44.130 --> 00:01:46.742 Think of what happens to the planet gears: 00:01:48.438 --> 00:01:51.746 At point A the planet gear should have a certain speed 00:01:51.746 --> 00:01:56.560 and at point B the speed should be zero as the ring gear is stationary. 00:01:57.163 --> 00:02:01.163 However, how are both of these conditions possible at the same time? 00:02:01.961 --> 00:02:07.161 There is only one way the planet gear should spin as well as turn 00:02:07.766 --> 00:02:13.595 The spinning will produce velocities in opposite [directions] at the top and bottom points as shown 00:02:13.943 --> 00:02:17.695 Whereas the turning Produces unidirectional velocities 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. 00:02:26.822 --> 00:02:29.230 at The bottom they get added up 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. 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 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 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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