Problem $1$

The diameter of a water pipe gradually changes from $0\mathrm{.}5-ft$ at the entrance, point A $,$ to $2-ft$ at the exit, point B $.$

The exit is $40-$ ft higher than the entrance. The pressure is at the entrance is $50$ psi and $35$ psi at the exit. Friction

between the water and the pipe walls is negligible. The water density is $62\mathrm{.}4l\frac{b}{f}{t}^2.$ What is most nearly the rate

of discharge at the exit in cfs$?$

Answer: $3\mathrm{.}71$ cfs