Need Gear Train Calculation Help

Thanks. I'm not sure I've got it 100%, but I'm getting there.

I plan to mail order a variety of these:

https://www.servocity.com/html/32_pitch_aluminum_hub_gears___.html

Along with some smaller brass pinion gears.

Just out of curiosity, I used a piece of string and a cardboard tube to visualize what 1 turn in ___ inches looks like. I'll need to reduce more than 80:1 to get the look I want with the spiral flutes. BTW the whole idea is for the kits sold by Woodcraft (minus a handle that is lathe turned by the customer). I got mom started and showed her to polish up the pieces for a shaving set for my brother. She did a great job, and the faux tortoise shell acrylic is so shiny, it looks like glass. He was super surprised and impressed. Now he and I plan to make some of the same kind of things. I think fake ivory would look great as a handle for a shaving brush, razor, and stem for the holder.

If I understand you correctly , you want to cut 10 equally spaced spirals with a pitch of 8/rev. using a Sherline milling machine and rotary table. Something like this:

You will have to synchronize the rotation of the rotary table to the axis screw in order to have a uniform pitch and uniform spacing. This can be done with a CNC mill with 4th axis capability. To do this properly, you will need stepper or servo motors on the rotary table and the x axis, as Jim Dawson has suggested.

There is another possibility which could be mechanically fairly complex. To get the required pitch with your .050" lead screw you need 8 x 20 = 160 turns of the lead screw for a full turn of the rotary table. If your rotary table has a 90:1 worm, the rotary table crank has to turn 90 times for one rotation so your lead screw will have to rotate 160/90 turns to rotate the table one full turn. If you set up a gear train with a ratio of 16:9, your rotary table will be properly synced. The change in direction of the drive train could be accomplished with a flexible rotary shaft. You will have to pay attention to backlash issues but you should be able to make your spiral.

To mount your rotary table in a vertical position a heavy angle plate can be implemented.

FYI, the drawing below has a pitch of 8"/rev. on a 1" cylinder.
Spiral Flute.JPG
 
If you have a Sherline RT with a gear ratio of 72:1, the required gearing would be 160/72 or 20:9.
 
i would gear it right of the table handle
 
One stepper on the spindle, one on the hand crank. Lets call the hand crank X axis and the spindle W axis.

Half stepping the native resolution of the stepper motor at 400 steps per revolution, and 20 turns to the inch, the x axis would have a resolution of 8000 steps per inch, or about 0.0001 " per step.

Then set up the W axis stepper with a 3:1 reduction using a timing belt, and 2000 steps per revolution would give a resolution of 0.06 degrees / step

This line of G-code would cut the 1:8 spiral that you want, feeding (F) 1 inch per minute
G1 X8.0 W360.0 F1.0
M0 <ends the program>
 
Whoa. Y'all are making CNC sound like it's NOT witchcraft.

When I bought the shaving kit parts at Woodcraft, I gave them my e-mail address. I got an e-mail today about a CNC workshop there. Of course the main focus will be a 3-axis router, but I did ask if my lathe/mill and code questions would be relevant. Yes, of course there is some overlap. He even mentioned a 4th axis coming up in a future meeting. The next one is a week from today. I'll also do some research on what you guys have been telling me.

Thank you.
 
We'll get ya hooked on CNC, you'll love it;) And sometimes it's the simplest way to do the job. About 3 years ago I couldn't even spell CNC :grin:
 
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