Woo hoo!
I should have made me one of these things sooner! I'll start another thread to stop spamming this one, but Jim's ball turner works a treat. Smart man.
I made one for 3/4" balls:
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That's the finish in a piece of 3/4" diameter 12L14 directly from the tool. It's effectively a turning tool with a huge radius, so the finishing pass leaves an outstanding finish (and it's spot on dimension wise).
Here are the parts:
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There are 4x 3/8-24 set screws to secure it in the tee slot (I didn't have any flat set screws on hand, so faced off the cup points so as not to mar up the bottom of the tee slot in my compound). The puck has a 1/4" long 1/4" diameter boss on the bottom that has a hole in it tapped for the 10-32 SHCS. The tee nut has a reamed 1/4" hole for it to ride in. You adjust the nuts so that is swivels freely, then lock it with the jam nut. I set it a little too tight for the inaugural run (out of fear) but it turns out that it's amazingly forgiving (it would probably work just fine without the screw at all). I made the hole 0.001" oversize, which has a terrifically solid feel in use.
The cutter is locked with a set screw from the side at cutter height. I used the 1/8" diameter shank from an old end mill. I ground it on my Quorn T&C grinder, but a pedestal grinder or bench grinder would have worked just as well.
To use it, you just bump the cutter up against a faced edge of the work, then lock the carriage. Retract the cross slide, then feed in a little at a time as you swing the puck back and forth. It cuts like butter and is surprisingly fun.
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Note that it's NOT necessary to plunge in a parting tool beforehand to make the reduced neck diameter as show in the photo. That's the normal trick for using form tools or whatever, but with this ball turner you can just swing-plunge the cutter in to whatever depth you want. It acts like a very rigid form tool when you plunge like that. With a steady hand, you can even traverse the carriage to turn a longer neck at a fixed diameter (just holding the handle in place).
ALSO: note the 3/4" Morse taper collet. My little 10" lathe has too small a spindle for 5C collets, and can only use 3C/3AT which only go up to half inch diameter. You can buy a set of 3MT collets quite cheaply on Amazon or other outlets for offshore tooling, and they let you use collets for stock up to 3/4" diameter. I just use a piece of 3/8" allthread as a drawbar (with a cheap lawn-mower wheel from Harbor Freight and a homemade arbor that registers against the left end of the spindle). I use a swing press to bang out the collet when I'm done (still need to make something more elegant).
For this kind of hand pivoting, it's much more rigid and safer to use a collet that lets you get right up next to the spindle, than to have your hands near the spinning jaws of death in a chuck. Remember that you have to swing the handle almost 180 degrees to turn a ball.
I'll make a few more cutters for smaller diameters, but mounted on my cross slide, 3/4" diameter balls are about the maximum unless I thin out the puck considerably (which doesn't give the cutter much support). If I mount it on the cross slide, I can get much larger balls.
It looks sketchy, but is astonishingly solid and not touchy at all.
Here it is in action:
I was filming one handed and the spindle speed was much too low, so it's a little jerky. You can take pretty aggressive cuts without any issue, and even the little 1/8" cutter I was using is effectively a huge (and perfect) nose radius for a fantastic finish on the finishing passes as I mentioned.
Beyond simply turning a ball, the tool is great for making precise convex fillets at the end of a part or the outside diameter of a shoulder. It's also useful for making concave fillets at the base of a shoulder: either using the cutter as a precise form tool (which is still larger than the nose radius of a turning tool normally) or actually swinging a radius if you need a really large concavity.