I am trying to calculate some rather long and complex drive trains, this is a project that I have worked up to, but its the first problem of its kind I have come across, to try and explain the position I am in please follow my example of how I am trying to calculate the final ratios and if I am going wrong, please can you point out where I have gone wrong and if you have the time, why.
Example: In the image below is a simple drive train, it consists of three shafts with four gears turning.( I know it doesn't look it, but please assume all teeth are of the correct size and mesh with no problems)
- Shaft 1
- Input Gear 1 (Purple) has 24 teeth
- Shaft 2
- Driven 2 (Red) has 12 teeth
- Driven 3 (Blue) has 15 teeth
- Shaft 3
- Output Gear(Green) has 10 teeth.
So the power travels through Purple,Red, Blue Green.
Now for my Math.
though a 2:1 is connected to a 3:2 I have been calculating the ratio like this, but I am sometimes getting different answers with long (up 12 gears) trains in my project.
I would calculate the final ratio like this:
(12/24)x(15/12)x(10/15) = 0.416(RECUR.)
Any help is greatly appreciated, im stuck at the moment and need to get on!