Water is to be pumped through a 100-mile of the Rub’al Khali desert in a smooth concrete pipe (=0.005ft) at a flow rate of 5 ft3/s. The density is 1.908 slug/ft3, and viscosity 0.975×10-5lbf.s/ft2. Calculate the pipe size if the pumps are designed to handle a head loss of only 200 ft