Water is pumped from the large tank shown in Fig. P5.112. The head loss is known to be equal to \(4 V^{2} / 2 g\) and the pump head is \(h_{p}=20-4 Q^{2}\), where \(h_{p}\) is in \(\mathrm{ft}\) when \(Q\) is in \(\mathrm{ft}^{3} / \mathrm{s}\). Determine the flowrate.

Figure P5.112

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13 ft Pump Pipe area = 0.10 ft