Don't want to get into an argument Jonathan but I know from real world experience all these calculations means nothing in DIY cnc.

All well and good if building cnc machine using high precision machinery built to exact specifications with top notch components all perfectly aligned.!. . . .but in the real world of DIY using a drill press and rudimentry tools trying to align screws etc using primative methods then it don't work like the nice calculations predict. . . . The extra beef of thicker screws takes up the slack of DIY building no matter what the calculations say should happen.!!!

My setup being a prime example that your figures dont work in the DIY world, . . . It happly spins 20mm screws at twice the critical speed you quote.!! . . Those figure say it shouldn't . . . but it does and has done for the last few years without any problems.!