Fun project. I'm not sure what a pencil will do for you on the real gun barrel - maybe you could do that test on a cardboard tube and cut it in half to check the results.
If you want to be sure that you'll be able to fire the musket again though, I'd take it to a gunsmith.
Do you have a drawing of your cutter? You will have to have a pilot in front of the cutter to keep the vibration to keep the cutter aligned with the barrel.
Paul
Ok so I now have all the parts. I will now build it up so you can see what it is suposed to look like,
then it will make a little more cense.
the basic idea is , as we have the electronics we do not have to cut in one go we can cut each grove 100 x or more and in little slices.
But what the can give us is a progresive rifleing , so we could in fact acselerate the bullte then spin the up to full rpm the maitain rpm and acselerate again befor leaving the barile.
I don't know anything about machining rifling. I assume that it was originally done at a constant pitch along the length of the barrel because that was the easiest to do.
Is there a benefit to variable pitch if you can do it?
Boring and interesting. How often does that happen?
Even with mockups I would absolutely practice this on another material, as suggested.
You never know how it's going to cut until you cut and it usually takes a couple tries at least when tuning in newly made equipment.
I bored out an AMC 304 and added direct injection with homemade equipment. It took almost a year, two practice blocks, and a practice intake to get it right.
so there are two thing happening or requiring enargy.
one to push the bullet forward
the other to spin the bullet, both require to ovecome start up momentum
But all the time the presure is reducing.
so realising vertualy all the powder is burnt and you max pressur in the first thee of four inches of bulet travil.
So I was thinkinging this.
Let the bullet acselerat liniar for a few inches then spin up to full rpm then let it speed up but at constant rpm. this should be a better use of avaible power and the end resalt should be a higher velocity for the scame lent barile.