$1.-$ NC Open$-$Loop Positioning

The worktable of a positioning system is driven by a ball screw whose pitch $=5\mathrm{.}0mm.$ The screw is connected to the output shaft of a stepper motor through a gearbox whose ratio is $i$:$1\mathrm{.}1($five turns of the motor to one turn of the screw$).$ The stepper motor has $96$ step angles. The table must move a distance of $300$ mm from its present position at a linear velocity $=300m\frac{m}{m}in.$ Determine $($a$)$ how many pulses are required to move the table the specified distance and $($b$)$ the required motor speed and pulse rate to achieve the desired

Velocity. $($c$)$ Define the motor characteristics, and select one among the different manufacturers. Note: pitch is given in $m\frac{m}{r}ev.$