1. For a gear the number of teeth is proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has). The degree of rotation per tooth interaction for coupled gears increases with added teeth.

I've figured out a way to break the relation between number or teeth and gear wheel circumference.

As such, My question is:

IF I have two sets of coupled gears (2 gears in a set) all having the same radius. One set has 42 teeth per gear and the orther set has 4 teeth per gear will both sets rotate at the same speed if the same amount of energy is supplied in rotating both?

By the way, this is NOT a homework problem. If you want to see a link to my website illustrations for this protect just ask. Thanks any for your thoughts.

2.

3. I would think it would depend on the friction between gear teeth. The more gear tooth area the more friction would be created. I'm not sure if the area per tooth of a 4-tooth gear would be more than a 42-tooth gear.

http://www.societyofrobots.com/mechanics_gears.shtml

and at the bottom of the page is a link to a 132 page pdf tutorial:

Maybe this would be of some help

4. Originally Posted by dap
For a gear the number of teeth is proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has). The degree of rotation per tooth interaction for coupled gears increases with added teeth.

I've figured out a way to break the relation between number or teeth and gear wheel circumference.

As such, My question is:

IF I have two sets of coupled gears (2 gears in a set) all having the same radius. One set has 42 teeth per gear and the orther set has 4 teeth per gear will both sets rotate at the same speed if the same amount of energy is supplied in rotating both?

By the way, this is NOT a homework problem. If you want to see a link to my website illustrations for this protect just ask. Thanks any for your thoughts.
No. In the case of gearing, rotational speed of meshed gears is determined only by the ratio of teeth in the gears.

That example provides no mechanical advantage and just introduces a lot of internal stress upon the fewer teeth of the one gear. And that's precisely why the teeth are matched to the circumference in the first place - to reduce stress and provide a smooth transfer of energy. (Basic Mechanical Engineering class 101.) :wink:

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