Water is flowing at a rate of $700 \mathrm{gpm}$ through a horizontal 6 in. sch 80 commercial steel pipe at $90^{\circ} \mathrm{F}$. If the pressure drops by 2.23 psi over a $100 \mathrm{ft}$ length of pipe, determine the following:

(a) What is the value of the Reynolds number?

(b) What is the magnitude of the pipe wall roughness?

(c) How much driving force (i.e., pressure difference) would be required to move the water at this flow rate through 10 miles of pipe if it were made of commercial steel?

(d) What size commercial steel pipe would be required to transport the water at the same flow rate over the same distance if the driving force is the static head in a water tower $175 \mathrm{ft}$ above the pipe?