3. In an accelerated tool life test an HSS cutting tool shows a Flank wear of 0.01 inch in 1 minute of cut while cylindrically turning on a lathe a copper cylinder of 2 inch diameter and 5 inch long with a workpiece rotational speed 200 rpm and a tool feed rate of 0.01 inch per each rotation of the workpiece and a depth of cut 0.1 inch per pass. When only the workpiece rotational speed is increased to 300 rpm (and all other machine settings remain unchanged) the Flank wear increases to 0.02 inch. Calculate the Taylor's Tool Life equation in this particular case. (7 points). What will be the Tool Life (in minute) if the workpiece rotational speed is further increased to 400 rpm? (3 points). Hints: Assume (a) a tool's life (in minute) ends when the Flank wear reaches 0.03 inch (ASTM standard); (b) Flank wear (inch) is proportional to the cutting time (minute).