Water is pumped from the tank shown in Fig. P5.110a. The head loss is known to be \(1.2 V^{2} / 2 g\), where \(V\) is the average velocity in the pipe. According to the pump manufacturer, the relationship between the pump head and the flowrate is as shown in Fig. P5.110b: \(h_{p}=20-2000 Q^{2}\), where \(h_{p}\) is in meters and \(Q\) is in \(\mathrm{m}^{3} / \mathrm{s}\). Determine the flowrate, \(Q\).

Figure P5.110

Transcribed Image Text:

6 m Pump 0.07 m (a) 20 10 h, = 20-200002 0.05 Q. m/s (b) 0.10