(Solved): Question 1 (25 marks) The spray heads in an agricultural spraying system are to be supplied with wat ...

Question 1 (25 marks) The spray heads in an agricultural spraying system are to be supplied with water through 500 feet of Schedule 40 PVC pipe from an engine-driven pump. In its most efficient operating range, the pump output is 1500 gpm at a discharge pressure not exceeding 65 psig. For satisfactory operation, the sprinklers must operate at 30 psig or higher pressure. Minor losses and elevation may be neglected. Determine the smallest standard pipe size that can be used. Schedule 40 PVC Pipe Dimensions \begin{tabular}{|c|c|c|c|c|c|} \hline \begin{tabular}{c} Nom. Pipe \\ Size (in) \end{tabular} & O.D. & \begin{tabular}{c} Average \\ I.D. \end{tabular} & \begin{tabular}{c} Min. \\ Wall \end{tabular} & \begin{tabular}{c} Nominal \\ Wt./Ft. \end{tabular} & \begin{tabular}{c} Maximum \\ W.P. PSI \end{tabular} \\ \hline \( 1 / 8 \) & 0.405 & 0.249 & 0.068 & 0.051 & 810 \\ \hline \( 1 / 4 \) & 0.540 & 0.344 & 0.088 & 0.086 & 780 \\ \hline \( 3 / 8 \) & 0.675 & 0.473 & 0.091 & 0.115 & 620 \\ \hline \( 1 / 2 \) & 0.840 & 0.602 & 0.109 & 0.170 & 600 \\ \hline \( 3 / 4 \) & 1.050 & 0.804 & 0.113 & 0.226 & 480 \\ \hline 1 & 1.315 & 1.029 & 0.133 & 0.333 & 450 \\ \hline \( 1-1 / 4 \) & 1.660 & 1.360 & 0.140 & 0.450 & 370 \\ \hline \( 1-1 / 2 \) & 1.900 & 1.590 & 0.145 & 0.537 & 330 \\ \hline 2 & 2.375 & 2.047 & 0.154 & 0.720 & 280 \\ \hline \( 2-1 / 2 \) & 2.875 & 2.445 & 0.203 & 1.136 & 300 \\ \hline 3 & 3.500 & 3.042 & 0.216 & 1.488 & 260 \\ \hline \( 3-1 / 2 \) & 4.000 & 3.521 & 0.226 & 1.789 & 240 \\ \hline 4 & 4.500 & 3.998 & 0.237 & 2.118 & 220 \\ \hline 5 & 5.563 & 5.016 & 0.258 & 2.874 & 190 \\ \hline 6 & 6.625 & 6.031 & 0.280 & 3.733 & 180 \\ \hline 8 & 8.625 & 7.942 & 0.322 & 5.619 & 160 \\ \hline 10 & 10.750 & 9.976 & 0.365 & 7.966 & 140 \\ \hline 12 & 12.750 & 11.889 & 0.406 & 10.534 & 130 \\ \hline 14 & 14.000 & 13.073 & 0.437 & 12.462 & 130 \\ \hline 16 & 16.000 & 14.940 & 0.500 & 16.286 & 130 \\ \hline 18 & 18.000 & 16.809 & 0.562 & 20.587 & 130 \\ \hline 20 & 20.000 & 18.743 & 0.593 & 24.183 & 120 \\ \hline 24 & 24.000 & 22.544 & 0.687 & 33.652 & 120 \\ \hline \end{tabular} Figure 5: SCHEDULE 40 PVC PIPE DIMENSIONS (for question 1)