A face milling operation is performed on the top surface of a steel rectangular work piece $12\mathrm{.}0$ in

long by $2\mathrm{.}5$ in wide. The milling cutter follows a path that is centered over the wor kpiece. It has five

teeth and a $3\mathrm{.}0$ in diameter. Cutting speed $=250$ ft$/$min$,$ feed $=0\mathrm{.}006$ in$/$tooth$,$ and depth of cut $=$

$0\mathrm{.}150$ in$.$ Determine $($a$)$ the actual cutting time to make one pass across the surface and $($b$)$ the

maximum metal removal rate during the cut. $($c$)$ If an additional approach distance of $0\mathrm{.}5$ in is

provided at the beginning of the pass $($before cutting begins$),$ and an overtravel distance is provided

at the end of the pass equal to the cutter radius plus $0\mathrm{.}5$ in$,$ what is the duration of the feed motion.