In the RepRap world, it's fairly common to calculate these values as a
starting point and then measure and adjust (e.g., calc with Josef Prusa's
online calculator). Back in the Cupcake days, makerbot owners used to calibrate these
X & Y values on their own. I recall less discussion of that with Thing-o-Matics.
But certainly at some point, it became the norm to accept the values
MBI put into their config files and tweak using other means. No idea
why. As to MBI having suspect values in their config files, perhaps it
was just momentum? I know where they got the original ToM values: they
used the pulley's published pitch diameter. Then for the Rep 1, I believe
they just doubled the value since the used the same pulleys and belts and
merely doubled the number of microsteps. As such, the same arguably faulty
value for the ToM was propogated into the Rep 1. And they appear to have
done a similar pitch diam. calc for the Rep 2 as per the comment they put into
the RepG machine def file,
<!-- explanation of steps per mm:
Steps/mm is calculated by dividing the 'drive gear steps per revolution' (in this case, equal to motor_steps) by the 'drive gear circumference' (drive gear diameter = 10.58)
So we get: 3200/(PI*10.58) = 96.275...
-->
That's fine for the extruder's pinch gear, but they used it for X & Y as well.
But why they never tested? They likely did a simple test of printing a cube or
cylinder, measured with calipers, and figured it was within acceptable errors and
moved on. Question then becomes, "what were the acceptable errors and how were they
arrived at"? I'm willing to believe that they did not do simple tests with
a dial indicator -- not to measure travel distance or lash.
Dan
P.S. The pitch diameter of the pinch gear has always been a bit hard to nail down.
MBI used to have one value on their web site where they sold the gear, a different
value in RepG's print-o-matic for RPM calcs, and then a third value that they
used for the ToM and Rep 1 calcs in RepG's machine definition files. As such,
there was disagreement between MBI's own "stuff" as to what the steps/mm was
for the extruder.