Chapter 1, Problem 1.50P

The emissivity of galvanized steel sheet, a common roofing material, is $\epsilon =0.13$ at temperatures around 300 K, while its absorptivity for solar irradiation is as ${\alpha }_s=\mathrm{0.65.}$ Would the neighborhood cat be comfortable walking on a roof constructed of the material on a day when $G_s=750{\text{W/m}}^{\text{2}},T_{\infty }=16°\text{C,}$ and $h=7{\text{W/m}}^{\text{2}}\cdot \text{K?}$ Assume the bottom surface of the steel is insulated.