So in the actual stack, you get what, 8 balls under tension? So, to do let's say 50% better than gravity, that's 8*3=25g force *1.5x = 36g force
36/454=0.08 lb
If we want to feed 100 balls, at .75" linear translation per ball,
100*.75*0.08 = 6 in-lb force
throw a factor of 2 in there and we're at 12 or 15 in-lb energy
http://en.wikipedia.org/wiki/Mainspring
hrmmmm mcmastering....
Constant force springs...
9293K44 $7.41
Compact enough to fit inside the halo drive cone right at the bottom.
Halo wheel is about 3.5" dia, so ~7:1 reduction in force on 1.03 lb load
This actually seems suspiciously perfect.
The only thing that's a little weird is you can't fill the hopper, then wind, unless you make the mechanism removable so you wind it and snap it into place or something. otherwise you're on the hook for winding a bunch of turns, then pouring paint in to act as your stop. My math also assumes perfect filling of the catch can, but for 100 rnds you've got at least 45 balls of extra wind in that spring according to my maths