Need help solving these questions. No points rewarded if no explaination Househo

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Need help solving these questions. No points rewarded if no explaination

Household plumbing (two questions). Water enters a house through a 4.0 cm diameter pipe in the basement, with a flow speed = 0.50 m/s and total pressure = 3.0 atm. The pipe carries water to the second floor bathroom, where the pipe narrows to 2.0 cm diameter at a location 5.0 m above the basement pipe. Assume that the water is flowing continuously. Density of water = 1000 kg m-3. Pat = 1.01 times 105 Pa. g = 9.81 ms-2. What is the volume flow rate in the pipe in the upstairs bathroom? 2.0 m s-1 1.75 m s-1 1.2 m s-1 1.0 m s-1 0.25 m s-l What is the total pressure in the pipe in the upstairs bathroom? 1.0 times 105 Pa 2.5 times 105 Pa 1.5 times 105 Pa 3.5 times 105 Pa 5.0 times 105 Pa

Explanation / Answer

balacing volume rate flow,

A1v=A2u

or 4^2*0.5=2^2*u

or u=2 m/s

b)applying bernouli's theorem,

0.5*rho*v^2+P1=P2+0.5*rho*u^2+rho*g*h

or 0.5*1000*0.5^2+3*1.01*10^5=P+0.5*1000*2^2+1000*9.8*5

or P=2.5*10^6 Pa

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