Water is flowing through a cast iron pipe at the rate of 3500 GPM. The inside diameter of the pipe is 8 in. Find the flow velocity. Choose the correct answer below and PROVIDE A COMPLETE SOLUTION: a. 1.105 m/sec b. 1.770 m/sec c. 8.365 m/sec d. 6.810 m/sec

Please show all steps in detail and make please show all formulas used. Subject is fluid mechanics

Props of fluids.

1. The performance data of a water pump follow the curve fit Havailable =Ho +aV, where the pump's shutoff head Ho="K", coefficient a="Y" m/(Lpm)?, the units of pump head H are meters, and the units of Vare liters per minute (Lpm). The pump is used to pump water from one large reservoir to another large reservoir at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to Hrequired =(Z2-Z1)+bV², where elevation difference z2-z1="X" m, and coefficient b = "L" m(Lpm)?. Calculate the operating point of the pump (a) V. operating and (b) Hoperating) in appropriate units (Lpm and meters, respectively). Read the equation carefully. (Zz-Z:) Но b a Y K L 0.0479 4.9 0.029