Understanding Gear Reduction: How to Achieve Lower Angular Velocity in Gears

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Discussion Overview

The discussion revolves around the mechanics of gear reduction, specifically how to achieve a significant decrease in angular velocity using gears of specified dimensions and velocities. Participants explore various methods and considerations in gear design, including the relationship between gear size, tooth count, and angular velocity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about methods for achieving a gear reduction from 1000 rpm to 1 rpm, suggesting the possibility of manipulating the number of teeth on the gears.
  • Another participant notes that the smallest pinions typically have at least 12 teeth to prevent undercutting during manufacturing and emphasizes the need for specific number pairs to achieve desired gear ratios.
  • A suggestion is made that if gears are directly meshing, they must share the same tooth pitch, which implies that for gears of the same diameter, they would need the same number of teeth unless a smaller pitch is used.
  • A participant asks about the power transmission requirements, indicating that power considerations may influence gear design.
  • It is mentioned that gears should ideally have an odd number of teeth to promote even wear, although this is later contested by another participant who clarifies that tooth numbers should be relatively prime to avoid common factors.

Areas of Agreement / Disagreement

Participants express differing views on the requirements for tooth numbers in gears, particularly regarding the necessity of odd numbers versus the condition of being relatively prime. There is no consensus on the best approach to achieve the desired gear reduction, and multiple perspectives on gear design and functionality are presented.

Contextual Notes

Participants reference specific constraints related to gear design, such as tooth count limitations and the implications of gear pitch, but these considerations remain unresolved in terms of their application to the original problem.

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hi everyone!

i was wondering how gear reduction is done besides connecting a small gear to a larger gear (radius speaking)?
In my problem i have a gear - radius:5cm, angular velocity: 1000rpm
I have a second gear - radius:5 cm, anguler velocity required: 1 rpm

How do i make this happen? do i play with the numer of "teeths" on each gear, say that the first has 1 teeth and the second has 1000?

Thanks
 
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The smallest pinions rarely ever have fewer than 12 teeth to avoid under cutting of the teeth during forming.

In order to achieve a particular gear ratio, it is necessary to find a number pair, a number quad (for two stage gearing), a number hex (for three stage gearing), etc. which in combination will give the required gear ratio. There are definite procedures for doing this, but most people simple start guessing. Only in rare circumstances is it required to hit a specific gear ratio with great accuracy.
 
Keep in mind also that if the gears are directly meshing, they have the same tooth pitch. This means for a given diameter (5cm for example) the gears would have to have the same number of teeth. To accomplish gear reduction in this case you have to transition to a smaller pitch.
 
Last edited:
How much power do you have to transmit?
 
Gears should have an odd number of teeth as well to even out wearing.
 
"Gears should have an odd number of teeth as well to even out wearing."

Actually, this is not quite correct. The requirement is that in any individual mesh, the tooth numbers should be relatively prime. This means that there must be no common factor between the tooth numbers. If, for example one of the tooth numbers is a prime number such as 57, then the other tooth number could be any number and the condition of being relatively prime is still met since there would be no common factor between the prime number 57 and the second number which may be even or odd.
 

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