A reverted compound gear train with value of 73.10+/-.01

In summary, a reverted compound gear train is a gear system with four gears arranged in two pairs, parallel input and output shafts, and a common axis of rotation in each pair. It works by transmitting motion from the input shaft to the output shaft through the gears. The value of 73.10+/-0.01 in this gear train refers to the gear ratio, which is important for determining the speed and torque of the output shaft. Reverted compound gear trains have various applications and their accuracy is determined by the precision of the gear teeth and alignment of the gears.
  • #1
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Homework Statement


My professor said that we needed to acquire a program that can solve the equation:
I have not had any success. Can anyone point me in the right direction?

Homework Equations


73.09 < (N3N5)/(N2N4) < 73.11

The Attempt at a Solution

 
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  • #2
Aquire a program or write one?
I found solutions with Wolframalpha.com (I had to break the problem up as the entire problem exceeded the computational time)
 
  • #3
He said acquire. Thanks.
 

1. What is a reverted compound gear train?

A reverted compound gear train is a type of gear system in which the input and output shafts are parallel and rotate in the same direction. It consists of four gears arranged in two pairs, with each pair having a common axis of rotation. The gears in the first pair are connected to each other and to the input shaft, while the gears in the second pair are connected to each other and to the output shaft.

2. How does a reverted compound gear train work?

In a reverted compound gear train, the input shaft drives the first pair of gears, which in turn drive the second pair of gears. The second pair of gears then transmit the motion to the output shaft. The gear ratio of the system is determined by the number of teeth on the gears in each pair, and the overall gear ratio is the product of the individual gear ratios in the two pairs.

3. What is the value of 73.10+/-0.01 in a reverted compound gear train?

The value of 73.10+/-0.01 in a reverted compound gear train refers to the gear ratio of the system. It is a specific numerical value that represents the relationship between the rotation of the input shaft and the output shaft. This value is important in determining the speed and torque of the output shaft.

4. What are the applications of a reverted compound gear train?

Reverted compound gear trains are used in various mechanical systems, such as in automobiles, industrial machinery, and clocks. They are often used when a large gear ratio is required and space is limited. These gear trains are also known for their high efficiency and ability to transmit power over long distances.

5. How is the accuracy of a reverted compound gear train determined?

The accuracy of a reverted compound gear train is determined by the precision of the gear teeth and the alignment of the gears. The value of 73.10+/-0.01 indicates that the gear ratio is accurate to within 0.01, which means that the output shaft will rotate within a very small margin of error compared to the input shaft. This accuracy is essential for the proper functioning of the gear train in various applications.

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