Water flows under a sluice gate in a 60 -ft-wide finished concrete channel as is shown in Fig. P10.89. Determine the flowrate. If the slope of the channel is \(2.5 \mathrm{ft} / 200 \mathrm{ft}\), will the water depth increase or decrease downstream of the gate? Assume \(C_{c}=\) \(y_{2} / a=0.65\). Explain. 

Figure P10.89

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10 ft a = 2 ft $2