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Question:

How do you calculate the travel of the rack with the angle of the gear rotation?

How do you calculate the travel of the rack with the angle of the gear rotation?

Answer:

The number of turns of the rack = X of the circumference of the circle. The angle is translated into turns.For example, the gear radius is 20, and the rack is expected to be 3030=3.14*20*XWhere X is the number of turns.
The length of the rack stroke = the circumference of the circle, the number of turns of the X rotation, according to the gear radius of 17, you want to let the rack go 2525=3.14*17*X1, reduce the number of turns, 2, reduce the diameter of the gear 2, change the number of teeth
The number of teeth at the circumference of the tooth = shift the number of teeth. Pitch diameter * pi = indexing Park (= Park perimeter) / number of teeth (the result is an irrational number, can accurate) relationship between the number of turning angle and the turning gear: 360 degrees / turning angle = gear / turning tooth number (this result is difficult to be an integer, it doesn't matter) to calculate the number of teeth turned, and the top line.
Gear: a mechanical element with teeth on the flange that continuously engages and transmits motion and power. The application of gears in transmission has appeared very early. At the end of the nineteenth Century, the principle of expanding the cutting method and the special machine tools and cutting tools used in the cutting of the teeth were presented one after another. With the development of production, the stability of gear operation has been paid attention to.

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