One axis of the worktable in a CNC positioning system is driven by a ball screw with a $6-$mm pitch. The screw is powered by a stepper motor which has $180$ step angles using a $2$:$1$ gear reduction $($two turns of the motor for each turn of the ball screw$).$ The worktable is pro$-$grammed to move a distance of $200$ mm from its present position at a travel speed of $600$ mm$/$ min. $($a$)$ How many pulses are required to move the table the specified distance? $($b$)$ What is the required motor rotational speed and $($c$)$ pulse rate to achieve the desired table speed?One axis of the worktable in a CNC positioning system is driven by a ball screw with a $6-$mm pitch. The screw is powered by a stepper motor which has $180$ step angles using a $2$:$1$ gear reduction $($two turns of the motor for each turn of the ball screw$).$ The worktable is pro$-$grammed to move a distance of $200$ mm from its present position at a travel speed of $600$ mm$/$ min. $($a$)$ How many pulses are required to move the table the specified distance? $($b$)$ What is the required motor rotational speed and $($c$)$ pulse rate to achieve the desired table speed?