Water is to be pumped at a rate of $100 \mathrm{gpm}$ from a well that is $100 \mathrm{ft}$ deep, through 2 miles of horizontal 4 in. sch 40 steel pipe, to a water tower that is $150 \mathrm{ft} \mathrm{high}$.

(a) Neglecting fitting losses, what horsepower will the pump require if it is $60 %$ efficient?

(b) If the elbow in the pipe at ground level below the tower breaks off, how fast will the water drain out of the tower?

(c) How fast would it drain out if the elbow at the top of the well gave way instead?

(d) What size pipe would you have to run from the water tower to the ground in order to drain it at a rate of $10 \mathrm{gpm}$ ?