Water is supplied to an office building 41.5 m high through a pipe at ground lev
ID: 1673955 • Letter: W
Question
Water is supplied to an office building 41.5 m high through a pipe at ground level.(a) Find the minimum pressure in the supplypipe so that water can reach the top floor of the building.
_______ Pa
(b) Suppose the pressure in the supply pipe is designed so thatwater can flow out through a much smaller pipe on the top floor ata speed of 4.85 m/s. Find the pressure inthe larger pipe on the ground floor.
_________ Pa (a) Find the minimum pressure in the supplypipe so that water can reach the top floor of the building.
_______ Pa
(b) Suppose the pressure in the supply pipe is designed so thatwater can flow out through a much smaller pipe on the top floor ata speed of 4.85 m/s. Find the pressure inthe larger pipe on the ground floor.
_________ Pa
Explanation / Answer
a) P=hg ( is the density of water=1000kg/m3) P=41.5*1000*9.8 =406700 Pa b) By bernoulli's principle: 1/2v2 + P is constant. , if initial velocity (to just reach the top)=0, Then 0+ 406700 = P2 +1/2*1000*4.852 P2=406700-11761.25 =394938.75Pa
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