What axial/feed force is required of a cnc lathe. : machining
Also consider that's only the axial force, the radial and tangential forces the cutter experiences are going to need to be overcome by the ballscrew as well, so you'll need to factor that in on top of the axial force. Anecdotally, just thinking about how much force it takes to turn a carriage feed wheel on a lathe, 100lbf axially seems pretty low.