The Darcy-Weisbach equation states that the power generating capacity in a hydro

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The Darcy-Weisbach equation states that the power generating capacity in a hydroelectric system that is lost due to head loss is given by the expression P=nQh, where n is the efficiency of the turbine, is the specific gravity of water, Q is the flow rate, and h is the head loss. Assume n=0.85 plus or minus 0.02; Q=60 plus or minus 1 m^3/sec, h=3.71 plus or minus 0.10 m; and =9800 N/m^2 with negligible uncertainty. a) Estimate the power loss (units in watts) and find the uncertainty in the estimate? b) Determine the relative uncertainty in the estimated power loss? c) Which would provide the greatest reduction in the uncertainty in P, reducing the uncertainty in n to 0.01, reducing the uncertainty in h to 0.05, or reducing the uncertainty in Q to 0.5? Show work to support answer. The Darcy-Weisbach equation states that the power generating capacity in a hydroelectric system that is lost due to head loss is given by the expression P=nQh, where n is the efficiency of the turbine, is the specific gravity of water, Q is the flow rate, and h is the head loss. Assume n=0.85 plus or minus 0.02; Q=60 plus or minus 1 m^3/sec, h=3.71 plus or minus 0.10 m; and =9800 N/m^2 with negligible uncertainty. a) Estimate the power loss (units in watts) and find the uncertainty in the estimate? b) Determine the relative uncertainty in the estimated power loss? c) Which would provide the greatest reduction in the uncertainty in P, reducing the uncertainty in n to 0.01, reducing the uncertainty in h to 0.05, or reducing the uncertainty in Q to 0.5? Show work to support answer.

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