Please answer A and B use Principle of Linearity. This is for hydraulics.

N = A^0.2 square miles (N is in days and A: watershed or basin area)

a) Develop a unit hydrograph (1 in. of runoff) from the hydrograph in Problem 1 and tabulate the discharge values at 12-hr interval Show detailed sample work using the Principle of Linearity with units worked out for partial credit b) Verify that the volume under the Unit Hydrograph equals to 1 inch or close to it. Show detailed work with units worked out. 3-29. The hydrograph tabulated below is for a river that drains an area of 810 mi?. Plot the hydrograph, separate the direct runoff from the base flow, and determine the volume of direct runoff in sfd, ac-ft and in over the basin. Use Eq. 3-12 to determine the duration of the direct runoff. Tabulate the direct runoff hydrograph at 12-hr intervals. Day Hour Day Hour Discharge (cfs) Discharge (cfs) 0 5 0 12 0 6 12 18 0 6 6 850 820 790 935 2620 6350 6970 6800 6370 5250 4100 0 12 0 12 0 12 0 12 0 3270 2500 1960 1510 1240 1020 850 680 580 2 7 12 8 3 0 12 Time 0 1 Discharge Baseflow direct runoff direct runoff at intervals 0 850 580 270 6 hrs 12 hrs 12 820 580 240 270 0 790 580 210 240 6 935 580 355 145 12 2620 580 2040 1685 1540 18 6350 580 5770 4030 234.5 0 6970 580 6390 6 6800 580 6220 12 6370 580 5790 0 5250 580 4670 4670 12 4100 580 3520 3520 0 3270 580 2690 2690 2 3 4 12 2500 580 1920 1920 5 0 1960 580 1380 1380 930 12 580 930 1510 1240 6 0 580 660 660 12 1020 580 440 440 7 0 850 580 270 270 12 680 580 100 100 8 0 580 580 0 0 43865 a) Develop a unit hydrograph (1 in. of runoff) from the hydrograph in Problem 1 and tabulate the discharge values at 12-hr interval Show detailed sample work using the Principle of Linearity with units worked out for partial credit b) Verify that the volume under the Unit Hydrograph equals to 1 inch or close to it. Show detailed work with units worked out. 3-29. The hydrograph tabulated below is for a river that drains an area of 810 mi?. Plot the hydrograph, separate the direct runoff from the base flow, and determine the volume of direct runoff in sfd, ac-ft and in over the basin. Use Eq. 3-12 to determine the duration of the direct runoff. Tabulate the direct runoff hydrograph at 12-hr intervals. Day Hour Day Hour Discharge (cfs) Discharge (cfs) 0 5 0 12 0 6 12 18 0 6 6 850 820 790 935 2620 6350 6970 6800 6370 5250 4100 0 12 0 12 0 12 0 12 0 3270 2500 1960 1510 1240 1020 850 680 580 2 7 12 8 3 0 12 Time 0 1 Discharge Baseflow direct runoff direct runoff at intervals 0 850 580 270 6 hrs 12 hrs 12 820 580 240 270 0 790 580 210 240 6 935 580 355 145 12 2620 580 2040 1685 1540 18 6350 580 5770 4030 234.5 0 6970 580 6390 6 6800 580 6220 12 6370 580 5790 0 5250 580 4670 4670 12 4100 580 3520 3520 0 3270 580 2690 2690 2 3 4 12 2500 580 1920 1920 5 0 1960 580 1380 1380 930 12 580 930 1510 1240 6 0 580 660 660 12 1020 580 440 440 7 0 850 580 270 270 12 680 580 100 100 8 0 580 580 0 0 43865