Problem $3$

The top surface of a rectangular work part is machined in a peripheral milling operation. The work part is $735$ mm long by $50$ mm wide by $95$ mm thick. The milling cutter, which is $65$ mm in diameter and has five teeth, overhangs the width of the part equally on both sides. Cutting speed $=60\frac{m}{m}in,$ chip load $=0\mathrm{.}30m\frac{m}{?}$ tooth, and depth of cut $=7\mathrm{.}5mm.($a$)$ Determine the time required to make one pass across the surface, given that the setup and machine settings provide an approach distance of $5$ mm before actual cutting begins and an over travel distance of $25$ mm after actual cutting has finished. $($b$)$ What is the maximum material removal rate during the cut?