C$(20)$: A Flux$-$Cored Arc$-$Welding $($FCAW$)$ process is used to join two low$-$alloy steel plates at a $90$ angle. The melting temperature is $3060R.$ The joint is an outside fillet weld. The plates are $0\mathrm{.}25-$in thick. The weld bead consists of $60\%$ metal from the electrode and $40\%$ from the base metal steel plates. The heat transfer factor for FCAW is $0\mathrm{.}9$ and Melting factor of the steel $=0\mathrm{.}70.$ Welding current $=130$amps, and voltage $=25$ volts. Velocity of the welding head $=20i\frac{n}{m}in.$ FCAW$-$Electrode diameter $=0\mathrm{.}15in.$ A core of flux in the electrode runs through the center of the electrode. The diameter of the electrode$-$core containing flux $=0\mathrm{.}06in.$

$($a$)$ What is the cross$-$sectional area of the weld bead.

$($b$)$ find out the metal in electrode, and

$($c$)$ How fast must the electrode be fed into the workpiece in $($in$/$min$)?$