Water at a guagepresseur of 3.8 atm at street level flows intan buliding at a sp

Question

Water at a guagepresseur of 3.8 atm at street level flows intan buliding at a speed of .6 m/s through a pipe cm indiameter. the pipe tapers down to 2.6 cm in diameter by the topfloor, 18 m above where the faucet has be left open. assume nobranch inpes and ingnore any viscostiy. calculate the velocity of hte water at the top floor. calculate the gauage pressure in the this pipe at the topfloor. Water at a guagepresseur of 3.8 atm at street level flows intan buliding at a speed of .6 m/s through a pipe cm indiameter. the pipe tapers down to 2.6 cm in diameter by the topfloor, 18 m above where the faucet has be left open. assume nobranch inpes and ingnore any viscostiy. calculate the velocity of hte water at the top floor. calculate the gauage pressure in the this pipe at the topfloor.

Explanation / Answer

Conservation of energy demands             P + gh +v^2 /2 = P' + gh' + v'^2 /2            by equation of continituy                 A1 * v = A2 * v'.................eq2      A1 and A2 are the area of crosssection of the pipe at the top and bottom of the building , and vand v' are the respective velocitys at the top and bottom ofthe building         h - h' = givesheight of the building using abv two relation ,we can solve for velocity of thewater at the top of the building " v' " . and pressure P' ofte water at the top of the building.

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