Hi,

I am trying to find different gear tooth counts based on an equation for a gear ratio. I want the number of teeth for each gear to be from 20 to 60 teeth. The equation for the gear ratio is:

`N = (G1 * G4) / ((G1-G3) * (G2-G1))`

How would I go about getting a 4 column matrix with all the possible tooth count combinations?

Here is what I have so far:

`N = 200; % Gear Ratio`

G1 = 20:1:60; % Gear 1 tooth count

G2 = 20:1:60; % Gear 2 tooth count

G3 = 20:1:60; % Gear 3 tooth count

G4 = 20:1:60; % Gear 4 tooth count

N = (G1.*G4)./((G1-G3).*(G2-G1)); % Gear Ratio calculation

Also, is there a way to go about getting a range of the gear ratio as well? For example, if I wanted anything within +/- 5% of the desired ratio.

Thanks!

## Best Answer