Problem $3$

A gas tungsten arc$-$welding operation is performed on low carbon steel. Voltage $=24$ volts, current $=165$ amps $,$ heat transfer factor $=0\mathrm{.}72,$ and melting factor $=0\mathrm{.}63.$ Filler metal wire of $4\mathrm{.}0-mm$ diameter is added to the operation, so that the final weld bead consists of $65\%$ filler and $35\%$ base metal. If the travel speed in the operation is $6\mathrm{.}0m\frac{m}{sec},$ determine $($a$)$ cross sectional area of the weld bead and $($b$)$ feed rate $(m\frac{m}{sec})$ at which the filler wire must be supplied.