A 40-mph wind blowing past your house speeds up as it flows up and over the roof. If elevation effects are negligible, determine

(a) the pressure at the point on the roof where the speed is \(60 \mathrm{mph}\) if the pressure in the free stream blowing toward your house is 14.7 psia. Would this effect tend to push the roof down against the house, or would it tend to lift the roof?

(b) Determine the pressure on a window facing the wind if the window is assumed to be a stagnation point.