$782$E A $12-$ft$-$long, $1\mathrm{.}5-$kW electrical resistance wire is made of $0\mathrm{.}1-$in$-$diameter stainless steel $($k$=8\mathrm{.}7$Btu$/$h$$ft$$F$).$ The resistance wire operates in an environment at $85$F$.$Determine the surface temperature of the wire if it is cooled by a fan blowing air at a velocity of $20$ ft$/$s$.$ For evaluations of the air properties, the film temperature has to be found iteratively. As an initial guess, assume the film temperature to be $200$F$.$