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The depths upstream and downstream of a sluice gate in a rectangular channel are 8 ft and 2 ft, respectively, for a steady flow. (a)

The depths upstream and downstream of a sluice gate in a rectangular channel are 8 ft and 2 ft, respectively, for a steady flow.

(a) What is the value of the flow rate per unit of width q?

(b) If q in part (a) is reduced by 50 percent by abrupt partial closure of the gate, what will be the height and speed of the surge upstream of the gate?

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