I'm trying to figure out a good way to measure the size of the short tapers in my D1-4 lathe chuck backplates. It seems like they are a little loose on the spindle nose. Spec says that the taper half-angle is 7.125 degrees and that the theoretical diameter at the spindle face is 2.5003" -0/+.0003.
The best idea I have is to put the backplate mounting side down on a surface plate, put two precision balls on the surface plate inside the taper, and then see what size gage block stack fits in between the balls vs the distance calculated with trigonometry. This seems to be giving me a number that is noticeably too small, but if the faceplates are loose the number should be too big.
Is there a better way? Or should I just take a bit off the backplates until they fit on the theory that cast iron backplates are cheap and easy to machine and precision measurements are hard?
The best idea I have is to put the backplate mounting side down on a surface plate, put two precision balls on the surface plate inside the taper, and then see what size gage block stack fits in between the balls vs the distance calculated with trigonometry. This seems to be giving me a number that is noticeably too small, but if the faceplates are loose the number should be too big.
Is there a better way? Or should I just take a bit off the backplates until they fit on the theory that cast iron backplates are cheap and easy to machine and precision measurements are hard?