Gear Train & Mechanical Advantage Designer Community
Questions, answers and tips from people who use the Gear Train & Mechanical Advantage Designer. Build a real two-stage compound gear train, watch the gears mesh and turn, and read off the true speed and torque the math predicts..
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From the tool guide: common questions about Gear Train & Mechanical Advantage Designer
The items below are not posts by community members. They come from the written guide for this tool and are here to get a conversation started. Use “Ask a follow-up” to open a thread about any of them.
Why does a compound gear train multiply the ratios of each stage instead of adding them?
Each stage independently divides speed (and multiplies torque) by its own ratio, and since the output of stage one becomes the input of stage two, the two scaling factors apply one after another - which is multiplication, not addition.
From the tool guide Ask a follow-upWhy is the output torque slightly less than N times the input torque even though the gear ratio is exactly N?
Every real gear mesh has friction between the meshing teeth, so a small fraction of the input power is lost as heat at each mesh; the efficiency factors for each mesh multiply together and slightly reduce the torque the ideal ratio alone would predict.
From the tool guide Ask a follow-upKey ideas
- Gear ratio is inversely proportional to tooth count: a small driver gear turning a large driven gear slows the speed down and multiplies the torque.
- A compound gear train stacks two (or more) stages on shared shafts, so the overall ratio is the product of each stage's ratio.
- Torque and speed trade off through a gear train: whatever factor speed is divided by, torque is multiplied by (minus friction losses).
- Real gear meshes are not perfectly efficient; each mesh typically loses a few percent, so a two-stage train loses roughly twice as much as one stage.
Things to try
- Set N1=20, N2=50, N3=20, N4=40 and confirm the overall ratio is exactly 5:1.
- Keep the input speed fixed and see how far you can drop the output speed by raising N2 and N4.
- Try the 5:1 mechanical-advantage challenge.
- Try the 60 rpm output-speed challenge at a fixed 900 rpm input.
Where this is used
Compound gear trains like this appear in car transmissions, bicycle drivetrains, wind-up clocks, power drills and wind-turbine gearboxes, anywhere a motor's natural speed needs to be traded for more torque or vice versa.
How to ask a question people can answer
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- Say what you tried. List the steps you followed and any settings you changed, so replies do not repeat what you already did.
- Share a small example. A short sample input and the output you saw is worth more than a long description. Remove anything private first.
- Mention your setup. Your device, browser and whether you are on a phone or a computer can explain many odd results.
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- Come back and reply. If a suggestion worked, say so and upvote it, and if you found the fix yourself, post it for the next person.
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