What is the total static head pressure loss in psi from a water meter to the highest fixture, which is 2' above the top floor, in a 4 story building with floor-to-floor height of 12 feet

Respuesta :

Answer:

The value is [tex]P = 21.6 \  psi[/tex]

Explanation:

From the question we are told that

   The height of the highest fixture above the top floor is   [tex]h  =  2 ft [/tex]

   The floor to floor height is  [tex]d =  12 \  feet[/tex]

Generally given that the building is a four story building then that height of the building is

      [tex]k =  4 *  12[/tex]

=>   [tex]k =  48 \ ft [/tex]

Generally the height of the highest fixture is  

       [tex]H  =  h  + k[/tex]

=>     [tex]H  =  2  + 48[/tex]

=>     [tex]H  = 50 \ ft[/tex]    

Generally the pressure loss is mathematically represented as

       [tex]P=  \rho  *  g *  H[/tex]

Here [tex]\rho[/tex] is the density of water with value [tex]\rho =  1.940 \  slugs/ft^3[/tex]

   and  g is the acceleration due to gravity with value  

        [tex]g = 32.174 \  ft/s^2[/tex]

=>    [tex]P=  1.940   *  32.174 *  50 [/tex]

=>    [tex]P=  3121 \ lb/ft^2 [/tex]    

converting to psi

        [tex]P = \frac{3121}{144}[/tex]

=>      [tex]P = \frac{3121}{144}[/tex]

=>      [tex]P = 21.6 \  psi[/tex]

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