For each case that follows, apply the Darcy-Weisbach equation from Eq. (10.12) in §10.3 to calculate the head loss in a pipe. Apply the grid method to carry and cancel units. 

a. Water flows at a rate of 23 gpm and a mean velocity of 210 ft /min in a pipe of length 200 feet. For a resistance coefficient of f = 0.02, find the head loss in feet.
b. The head loss in a section of PVC pipe is 0.6 m, the resistance coefficient is f = 0.012, the length is 15 m, and the flow rate is 4 cfs. Find the pipe diameter in meters.