2 Water steadily flows from the basement to the second floor through a 0 75 in diameter copper pipe The volume flow rate is constant as Q 12 gal min gpm Water exits through a faucet having a diameter of 0 5 in Consider all losses and determine the pressure at 1 required to maintain the constant volume flow rate If needed use the tables below and the Moody chart on the last page Water has a density of 1 94 slug ft and a viscosity of 2 34 x 10 5 psf s and the gravitational acceleration is g 32 2 ft s The following conversion relations can be used 1 ft 12 in 1 gal 0 160544 ft K 0 6 0 4 0 2 Q 12 gpm 0 2 Pipe Riveted steel Cast iron Copper Commercial steel or wrought iron 0 4 1 A A 0 75 in diameter copper pipe 0 6 15 ft T 10 ft h K 0 8 6 5 ft V 3 1 0 5 10 ft 10 ft 7 8 Ball valve fully open Globe fully open Gate fully open Angle fully open Elbow regular 90 threaded g Threaded 90 elbows Loss coefficients for pipe components Elbow regular 90 flanged Tee flanged Faucet Roughness element height ft 0 003 0 03 0 00085 0 000005 0 00015 K 1 0 0 8 0 6 0 4 0 2 10 ft 0 Wide open globe valve 0 0 2 KL 0 3 1 0 Roughness element height mm 0 9 9 0 2 0 0 05 10 0 15 2 1 5 2 0 5 in diameter 0 4 A A 0 26 0 0015 0 045 0 6 A h K 0 8 1 0 Figure 1 Loss coefficients for sudden contraction left and sudden expansion right In the figures A denotes the