WEBVTT 00:00:00.408 --> 00:00:04.376 The planetary gear set, also known as, the epicyclic gear train 00:00:04.376 --> 00:00:07.943 is one of the most important and interesting inventions in engineering. 00:00:08.640 --> 00:00:13.023 They are great speed variation mechanism and are often used in automobiles 00:00:13.023 --> 00:00:15.761 as a vital part of automatic transmissions. 00:00:18.905 --> 00:00:22.137 Let's explore the secrets of the planetary gear set in this video 00:00:25.144 --> 00:00:27.647 A planetary gear set has four main parts: 00:00:29.039 --> 00:00:29.868 the sun, 00:00:30.927 --> 00:00:32.087 planet gears, 00:00:33.244 --> 00:00:34.370 ring gear, 00:00:35.897 --> 00:00:36.940 and carrier. 00:00:37.815 --> 00:00:40.441 You can see that it sometimes rotates quickly, 00:00:42.068 --> 00:00:43.262 sometimes slowly, 00:00:46.503 --> 00:00:49.014 and sometimes even in reverse. 00:00:50.483 --> 00:00:52.394 But how does this happen? 00:00:52.924 --> 00:00:55.746 You will be able to predict the motion of this gear set completely 00:00:55.746 --> 00:00:58.122 if you understand one simple fact. 00:00:59.523 --> 00:01:01.732 When two gears are moving as shown 00:01:01.732 --> 00:01:04.765 they should have the same speed at the interface. 00:01:05.223 --> 00:01:07.585 This means that the speed of gear A 00:01:07.585 --> 00:01:10.603 should be the same as gear B at their mating point. 00:01:17.589 --> 00:01:19.612 The speed has to be the same 00:01:19.612 --> 00:01:23.270 otherwise the gear teeth will penetrate each other as shown 00:01:23.270 --> 00:01:25.806 that is an impossible condition. 00:01:27.118 --> 00:01:29.630 Just apply this fact to planetary gear sets, 00:01:29.630 --> 00:01:33.574 and you will be able to predict how speed variation is achieved. 00:01:36.174 --> 00:01:40.174 Assume that the ring gear is held stationary 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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