the system shown in the image below consists of 1200 m of 5cm cast iron pipe, two 45o and four 90o flanged long-radius elbows, a fully open flanged globe valve, and a sharp exit into a reservoir. if the elevation at point 1 is 400 m, what is the gage pressure required at point 1 to deliver 0.005 m3/s of water at 20oc into the reservoir? 20 pts.

The pressure at point 1 is 3.46MpaWhat is roughness ratio ?In order to attain the appropriate flow rate, it is crucial to consider this ratio when building the pipe with flanges and curves. It is described as the proportion of the pipe's diameter to the roughness rating of the chosen material.STEP 1:Let us consider the point "2" at the free surface tankAt 20 degrees of water, property of water will be:Density, ρ = 998kg/m3ρ=998kg/m3Dynamic viscosity μ=1×10^−3 kg/msμ=1×10−3kg/m sFrom the book of commericial duct we can note, roughness value as:Ε = 0.26mmε=0.26mmSTEP 2:Velocity of water in pipe can be calculated as:V=4Q/πd2V = 4×0.005 / π × 0.05^2 = 2.55 m/sSTEP 3:Renyolds number can be found as:Re=ρVdμRe=998×2.55×0.05/0.001=127245Roughness ratio can be found as:εd=0.26/50=0.0052From moody's chart at 0.0052 we can note friction factor as:f=0.0315STEP 4:The resistance coefficient can be found for elbow and tees as:At 45 deg long radius elbow,K=0.2At 90 deg long radius elbow,K=0.3 open flange globe valve,K=8.5 Sharp submerged exit,K=1STEP 5:Applying bernoulli's theorm :p1/998×9.81 = 500 - 400 + 2.55^2 / 2 × 9.81 (0.0315×1200/0.05 + (2(0.2) + 4(0.3) +8.5 + 1) -1)p1=3.46MpaTherefore the pressure at point 1 is 3.46MpaYou can learn more about guage pressure from the given linkhttps://brainly.com/question/6984092#SPJ4