Water at a gauge pressure of P = 5.2 atm at street level flows into an office building at a speed of 0.88 m/s through a pipe 4.8 cm in diameter. The pipe tapers down to 2.6 cm in diameter by the top floor, 16 m above (Figure 1) . Assume no branch pipes and ignore viscosity.

(1)

Pressure of water at the bottom of the buliding is .

Flow velocity of water in pipe at the bottom of the buliding is .

Diameter of pipe at the bottom of the buliding is .

Diameter of pipe at the top of the buliding is .

Find flow velocity in pipe at the top of the buliding .

Equation of continuity: .

Flow velocity of water in pipe at the bottom of the buliding is .

(b)

Guage pressure in pipe on the bottom of the floor is .

Flow velocity of water in pipe at the bottom of the buliding is .

Diameter of pipe at the bottom of the buliding is .

Diameter of pipe at the top of the buliding is .

Flow velocity in pipe at the top of the buliding .

Height of the building is .

Find the guage pressure in pipe on the top of the floor is .

Bernoulli principle: .

Where is the density of water.

is the acceleration due to gravity.

is the height of the pipe at the street.

is the height of the pipe at the top of the floor.

is the flow velocity in pipe at the bottom of the buliding.

is the flow velocity in pipe at the top of the buliding.

is the pressure of water at the bottom of the buliding

is the pressure of water at the top of the buliding

Here .

Guage pressure of water at the top of the buliding is .