(Solved): The pipe flow in the figure shown below is driven by pressurized air in the tank. What gage pressur ...

The pipe flow in the figure shown below is driven by pressurized air in the tank. What gage pressure p1 is needed to provide a \( 20^{\prime} \mathrm{C} \) water flow rate \( Q=60 \mathrm{~m}^{3} / \mathrm{h} \) ? The total length of the pipe, which includes the vertical section measuring \( 80 \mathrm{~m} \), is \( 150 \mathrm{~m} \). For water at \( 20^{\circ} \mathrm{C} \), take \( \rho=998 \mathrm{~kg} / \mathrm{m}^{3} \) and \( \mu=0.001 \mathrm{~kg} / \mathrm{m} \cdot \mathrm{s} \). Take \( \mathrm{f}_{\mathrm{sm}} \) ooth \( \approx 0.0136 \). The required gauge pressure is \( \mathrm{Pa} . \)