please check my math
I'm sitting here working through a couple options and i think i know my math is right, but if someone would double check me please...
the facts:
5tpi ballscrew
10ustep driver
200kHz max step rate
direct drive from stepper to ball screw
200 step/rev motor.
my math sais that the max IPM = 20.. is this right? no wait, i think i just found my error.. i forgot to multiply the 200kHz by 60seconds to get IPM..
so then its 1200ipm.. nahhhh that cant be right...
here's how i got there...
200kHz is 200,000 cycles per second
so 200,000*60 seconds is 12,000,000 steps per min
5tpi*200step-rev*10ustep= 2000 steps-rev*5rev-inch= 10,000 steps per inch
12,000,000 step-min/10,000step-inch = 1200ipm
first off i understand that nothing i build will move like that, and secondly none of this is allowing for max motor rpm, max screw speed, friction or any thing like this... but anyway, if my math is right then i get 10,000 steps/inch, that would mean .0001 per step, not allowing for backlash, machine flex and so forth...
the more i do this, the more i'm second guessing myself...
where am i going wrong?
Grizzly X3, CNC Fusion Ballscrew kit, 3 500oz-in bipolar steppers, 3 203v Gecko's, Linear power supply from Hubbard CNC, Mach 3, BOBcad Pro Art V22, Rhino.