so i was browsing through the gallery and noticed a small argument about gear ratios and more specifically how to write them and it got me thinking.
i always thought that if you have a 36 tooth gear attached to a motor then a 12 tooth gear attached to the wheel axle that your ratio would be 1 to 3 (1 spin of the motor produces 3 spins of the wheel) and if the situation were reversed with the 12 tooth gear attached to the motor and the 36 attached to the wheel the ratio would be 3 to 1 (3 spins of the motor produces 1 spin of the wheel) am i correct? and also high gear ratio means that the wheel with spin quickly but with less torque and low gear ratio means the wheel spins slowly but with greater torque correct?
in a gear box such as this one https://vexforum.com/gallery/files/2/0/9/1/dsc_0121.jpg it may not be completely necessary to double up on the bottom gears because the torque will become less and less from the arm as it travels down the gearbox for instance if the arm that was being lifted at the top required a torque of 10N to lift it the torque on the bottom gears would be much less correct?
if my calculations are correct the ratio of this gear box is roughly 25 to 1 (1 2/3 * 5 *1 2/3 * 1 2/3 = about 25. so like i said before if it takes 10N of torque to lift the arm then the top lower gears would only experience about .4N of torque. therefore doubling up the gears probably is not necessary right?
I’m not saying the gear box is bad in any way and I’m sure you know how much i like it based on my posts about it in the gallery i was just using it as an example.
