Compound planetary gear problem

[Pawllentiew]

Hi, I need a little help with this problem with compound planetary gears. I don't know how to apply the formulas for this specific type of placement.

I need to know the final speed of the engine knowing the number of teeth z1 = -104 ring gear which is internal, z2,3,4 = 22 for small planets, z5,6,7 = 65 for large planets, z8 = 17 for the small sun, z9 = 95 for the big sun and z10 = 13 for spool gear.

A weight of 12kg will be attached to the ring gear on one side and 2kg of counterweight on the other from a height of 2 m. I want to calculate the speed and torque that the engine will have if I want the weight to fall within 20 minutes from the 2m.

And i also need the ratio that the system have. The modulus of the wheels is 0.8 and the pressure angle is 20. I also know that the spool from the z10 have diameter equal to 30 mm and the one from the motor have 15 mm. These are the data I know and don't really know how to apply it. Can someone help me?

 

[berkeman]

Hi, I need a little help with this problem with compound planetary gears.

It looks like this is a continuation of another thread that you already have going in the schoolwork forums. Please continue posting your work in that thread. This new thread is closed.

Feel free to send me a message if for some reason this is a new project not related to schoolwork. (Click on my avatar and "Start a conversation").

From your other thread:

Hi, I've been pretty busy for the last few weeks but I've managed to make a scheme. I'm not good at this. It's the first time I've received something like this to do. so it's probably wrong. That's why I need some clarification if anyone offers to give it to me.

I don't know how to start the calculations for this mechanism. Should I calculate the number of teeth? How do I do this if I don't have the mechanism and I'm just trying to create it from scratch? Do I randomly put the number of teeth or do I have to follow a formula? What is that formula for this mechanism?

After finding out the number of teeth how should I create the formulas to find out the torque for my mechanism? do I break down the mechanism in the part that contains sun gear, planet gear, ring gear and the part that contains the sprocket for the belt and the belt? Do I calculate them when they are decomposed or do they have to be calculated together to find out the torsion or the rest of the parameters? And what would be the formula that emerges in any case?

I really don't know how I should start and where to start. a few formulas would help me answer these questions. This mechanism aims to increase the rotation enough to rotate the dc motor at a speed high enough (1600 rpm) to turn on an LED. Basically, a rope is glued to a ring gear to which a weight and a counterweight are attached. Gravity helping the mechanism to rotate, ring gear is the input. From this ring gear the rest of the components should increase their speed until the engine starts that led of about 15 lumens. I know that for this LED it takes 1600rpm to start with the engine.

How do I find the required initial speed with which the ring gear must rotate when the weight is falling. I'm very stuck because I don't know what to start with and what are the formulas needed for this kind of mechanism with just this information I have. I only own what the mechanism looks like as a drawing. but without number of teeth or other dimensions