$9\mathrm{.}7$ Calculate and plot the head$-$discharge relationship up to $1\mathrm{.}5$ m head for a dropinlet culvert having a $0\mathrm{.}90\mathrm{.}9-$m square inlet attached to a $457-$mm concrete

pipe $50$ m in length. Assume that pipe flow controls in the conduit; the tailwater

height is below the center of the pipe at the outlet; the radius of curvature of the

pipe entrance is $0\mathrm{.}1$ meters; and the difference in elevation between the crest and

center of pipe at the outlet is $5\mathrm{.}5$ meters.