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. 0:00:08.490,0:00:10.633 They are great speed variation mechanisms[br] 0:00:10.633,0:00:12.373 and are often used in automobiles 0:00:12.373,0:00:15.171 as a vital part of automatic transmissions. 0:00:18.585,0:00:20.167 Let's explore the secrets 0:00:20.167,0:00:23.407 of the planetary gear set in this video. 0:00:25.144,0:00:27.647 A planetary gear set has four main parts: 0:00:29.039,0:00:29.868 the sun, 0:00:30.927,0:00:32.087 planet gears, 0:00:33.244,0:00:34.370 ring gear, 0:00:35.897,0:00:36.940 and carrier. 0:00:37.815,0:00:40.441 You can see that it sometimes rotates quickly, 0:00:42.068,0:00:43.262 sometimes slowly, 0:00:46.503,0:00:49.014 and sometimes even in reverse. 0:00:50.483,0:00:52.394 But how does this happen? 0:00:52.924,0:00:55.746 You will be able to predict the motion[br]of this gear set completely 0:00:55.746,0:00:58.122 if you understand one simple fact. 0:00:59.523,0:01:01.732 When two gears are moving as shown 0:01:01.732,0:01:04.765 they should have the same[br]speed at the interface. 0:01:05.223,0:01:07.585 This means that the speed of gear A 0:01:07.585,0:01:10.603 should be the same as gear B[br]at their mating point. 0:01:17.589,0:01:19.612 The speed has to be the same 0:01:19.612,0:01:23.270 otherwise the gear teeth[br]will penetrate each other as shown 0:01:23.270,0:01:25.806 that is an impossible condition. 0:01:27.118,0:01:29.630 Just apply this fact to [br]planetary gear sets, 0:01:29.630,0:01:33.574 and you will be able to predict how[br]speed variation is achieved. 0:01:36.174,0:01:40.174 Assume that the ring gear is held[br]stationary 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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