Q$.3$ A stepper motor with $60$ step angles is coupled to a leadscrew through a gear reduction of $4$:$1.$ The leadscrew has $1\mathrm{.}35$ threads$/$cm$.$ The worktable driven by the leadscrew must move a distance of $50$ cm at a feed rate of $900m\frac{m}{m}in.$ Determine

i$.$ Number of pulses required to move the table

$[2]$

ii$.$ Required motor speed

$[2]$

iii. Pulse rate to achieve the desired table speed.

$[2]$

iv$.$ Screw rotational speed

$[2]$