(II) Determine the minimum gauge pressure needed in the water pipe leading into a building if water is to come out of a faucet on the fourteenth floor, 44 m above that pipe.

Short Answer

Expert verified

The minimum gauge pressure is 0.43 x 106 Pa.

Step by step solution

01

Understanding fluid pressure

The fluid pressure depends on the density of the fluid and the height of the fluid column when the gravitational acceleration remains constant.

02

Given the data    

The height above the pipe is H =44m.

03

Calculation of the pressure

The density of water known is ρw =1000kg/m3.

The formula of minimum gauge pressure is given by,

P = gHw

Here, g=9.8m/s2 is the acceleration due to gravity.

Substituting the values gives the pressure as,

P =(44m) x (1000 kg/m3) x (9.8 m/s2)

≈ 0.43 x 106 Pa

Hence, the minimum gauge pressure is0.43 x 106 Pa.

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