(40 points) In the sprinkler system shown below, water flows around a large buried pipe and then up a hill to a sprinkler. The city supplies water at 400 kPa, the piping in the system is galvanized iron with a diameter of 0.05 m (area-1.96 x 10 m), and the total pipe length is 20 m. All elbows are threaded. The sprinkler itself can be modeled as a sudden contraction to a diameter of 0.004 m (area=1.26 x 105 m), leading to a jet of water into the atmosphere. The density of water is 1000 kg/m and its viscosity is 0.00112 N s/m. a. (30 pts) Assuming all piping has a friction factor of 0.02, what is the velocity of the water leaving the sprinkler? b. (10 pts) Using your result from part A, check the validity of the assumption in part A. In other words, with the velocity you found in part A, what is the friction factor in the pipe? g 1m From supply at 400 kPa gauge Sidewalk Buried drain pipe