Planetary Gears: Relationships Between Tooth Counts

In summary, planetary gears are a gear system consisting of a central sun gear, surrounded by smaller planet gears and encircled by a larger ring gear. The gear ratio, which is determined by the number of teeth on the gears, can affect the performance of planetary gears. Higher tooth counts result in higher gear ratios and better performance, while lower tooth counts may limit speed and torque. While planetary gears have many applications, they also have limitations such as difficulty handling high speeds and complex designs. They are commonly used in automotive, aerospace, and industrial machinery industries.
  • #1
LINGA
1
0
there is a relation between the no of teeth in ring gear,sun gear and plant gears are there(2R=S+P) Like that any relation between no teeth in plant and sun gears?
 
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  • #2
LINGA said:
there is a relation between the no of teeth in ring gear,sun gear and plant gears are there(2R=S+P) Like that any relation between no teeth in plant and sun gears?
Hi, as the pitch has to be the same, the n0 of teeths are proportional to the gear radius, so R=2P+S.
 
  • #3
According to Wikipedia:

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can be rewritten as
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where
657f79086f6bea2e333ab4373c114929.png
.
 

1. What are planetary gears and how do they work?

Planetary gears, also known as epicyclic gears, are a type of gear system that consists of a central gear (known as the sun gear), surrounded by several smaller gears (known as planet gears), all of which are encircled by a larger outer gear (known as the ring gear). The sun gear is connected to the input, the planet gears mesh with both the sun gear and the ring gear, and the ring gear is connected to the output. As the input rotates, the planet gears rotate around the sun gear, causing the ring gear to rotate in the opposite direction. This results in a reduction in speed and an increase in torque at the output.

2. What is the relationship between the number of teeth on the gears?

The relationship between the number of teeth on the gears is known as gear ratio. In planetary gears, the gear ratio is determined by the number of teeth on the sun gear, the number of teeth on the ring gear, and the number of planet gears. The gear ratio can be calculated using the following formula: Gear Ratio = (Number of Teeth on Ring Gear + Number of Teeth on Sun Gear) / Number of Teeth on Sun Gear

3. How does the tooth count affect the performance of planetary gears?

The tooth count on the gears has a direct impact on the gear ratio, which in turn affects the performance of the planetary gears. A higher tooth count on the sun gear and ring gear will result in a higher gear ratio, providing a greater reduction in speed and increase in torque. On the other hand, a lower tooth count will result in a lower gear ratio, providing less reduction in speed and torque. Additionally, having more planet gears can also increase the gear ratio and improve the overall performance of the gears.

4. Are there any limitations to the use of planetary gears?

While planetary gears offer many advantages, there are also some limitations to their use. One limitation is that they are typically not able to handle high speeds, as the planet gears must rotate at a higher speed than the sun gear to achieve a gear reduction. Additionally, the complex design of planetary gears can make them more difficult to manufacture and maintain compared to other types of gears.

5. What are some common applications of planetary gears?

Planetary gears have a wide range of applications in various industries, including automotive, aerospace, and robotics. They are commonly used in automatic transmissions and power steering systems in vehicles, as well as in wind turbines and industrial machinery. They are also used in precision instruments and watches due to their compact size and precise gear ratios.

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