Question

A bathtub spigot in a top floor apartment lies 20 m above street
level, where water is pumped into the apartment building. The pipe
that leads into the building has an inner radius of 0.57 cm , which
tapers to 0.40 cm at the bathtub spigot opening. The speed of the
water leaving the spigot is 12 m/s . (The density of water is 1000
kg/m 3 .) Assume the water flows without viscosity.

(a) What is the speed of the water through the pipe at street
level?

(b) What (absolute) pressure must the pump provide the water at
street level such that water flows out the top floor's bathroom
spigot, again, at a speed of 12 m/s ? Atmospheric pressure is 1.013
× 10 5 Pa .

(c) At this flow rate, how long would it take to fill an 80 -gallon
( 0.30 m 3 ) bathtub?

Answer #1

Water at a gauge pressure of P = 3.4 atm at street level flows
into an office building at a speed of 0.86 m/s through a pipe 5.8
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.
Calculate the flow velocity in the pipe on the top floor.
Calculate the gauge pressure in the pipe on the top floor.

Water at a gauge pressure of P = 3.4 atm at street level flows
into an office building at a speed of 0.64 m/s through a pipe 5.4
cm in diameter. The pipe tapers down to 2.8 cm in diameter by the
top floor, 16 m above (Figure 1). Assume no branch pipes and ignore
viscosity.
Calculate the flow velocity in the pipe on the top floor.
Calculate the gauge pressure in the pipe on the top floor.

Water at a gauge pressure of P = 3.2 atm at street level flows
into an office building at a speed of 0.90 m/s through a pipe 5.2
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.
Part A: Calculate the flow velocity in the pipe on the top
floor. Express your answer to two significant figures and include
the appropriate...

Water at a gauge pressure of PPP = 3.2 atmatm at street level
flows into an office building at a speed of 0.64 m/sm/s through a
pipe 5.2 cmcm in diameter. The pipe tapers down to 2.4 cmcm in
diameter by the top floor, 16 mm above (Figure 1). Assume no branch
pipes and ignore viscosity.
a) Calculate the flow velocity in the pipe on the top floor.
b) Calculate the gauge pressure in the pipe on the top
floor.

Water at a gauge pressure of PPP = 3.6 atmatm at street level
flows into an office building at a speed of 0.96 m/sm/s through a
pipe 5.6 cmcm in diameter. The pipe tapers down to 2.8 cmcm in
diameter by the top floor, 16 mm above (Figure 1), where the faucet
has been left open. Assume no branch pipes and ignore
viscosity.
a.Calculate the flow velocity.
b.Calculate the gauge pressure in the pipe on the top floor.

Water at a pressure of 3.8 atm at street level flows into an
office building at a speed of 0.60 m/s through a pipe 5.6 cm in
diameter. The pipes taper down to 2.6 cm in diameter by the top
floor, 20m above (Fig. 10-49). Calculate the flow velocity and the
pressure in such a pipe on the top floor. Ignore viscosity.
Pressures are gauge pressures.
flow velocity___ m/s
pressure____ atm

Water at a pressure of 3.50 atm at street level flows into an
office building at a speed of 0.55 m/s through a pipe 6.80 cm in
diameter. The pipes taper down to 3.00 cm in diameter by the top
floor, 26.0 m above. Calculate the water pressure in such a pipe on
the top floor.

Water at a pressure of 3.30 atm at street level flows into an
office building at a speed of 0.80 m/s through a pipe 6.40 cm in
diameter. The pipes taper down to 2.80 cm in diameter by the top
floor, 30.0 m above. Calculate the water pressure in such a pipe on
the top floor.

Water at a pressure of 4.00 atm at street level flows into an
office building at a speed of 0.90 m/s through a pipe 3.60 cm in
diameter. The pipes taper down to 1.60 cm in diameter by the top
floor, 22.0 m above. Calculate the water pressure in such a pipe on
the top floor.

9. Water at a pressure of 4.50 atm at street
level flows into an office building at a speed of 0.80 m/s through
a pipe 6.00 cm in diameter. The pipes taper down to 3.00 cm in
diameter by the top floor, 27.0 m above. Calculate the water
pressure in such a pipe on the top floor.

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