Question

A 6.3 cm diameter horizontal pipe gradually narrows to 4.5 cm . When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 31.0 kPa and 26.0 kPa , respectively. What is the volume rate of flow?

Answer #1

Apply the Bernouilli equation -

means we have -

31000 + rho*v1^2 = 26000 + rho*v2^2 --------------------------------------(i)

and the continuity equation

v1*A1=v2*A2

or v1=(d2/d1)^2*v2= (4.5 / 6.3)*v2 = 0.714*v2

now put this value in (i) -

rho = 1000 kkg/m^3

31000 + 1000*(0.714*v2)^2 = 26000 + 1000*v2^2

=> 5000 = 490*v2^2

=> v2 = 3.19 m/s

and A2 = pi*(d2/2)^2 = 3.141*(0.0225)^2 = 0.00159 m^2

Therefore, the volume flow rate = A2*v2 = 0.00159*3.19 = 0.0050721 m^3/s = 5.0721 liter/s.

A 7.2 cm diameter horizontal pipe gradually narrows to 4.8 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 33.0 kPa and 26.0 kPa ,
respectively.
What is the volume rate of flow?
Express your answer to two significant figures and include the
appropriate units.

A 7.0-cm-diameter horizontal pipe gradually narrows to 5.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 33.0 kPa and 23.0 kPa ,
respectively.
What is the volume rate of flow?

A 7.8 cm diameter horizontal pipe gradually narrows to 6.8 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 33.0 kPa and 22.6 kPa ,
respectively.
What is the volume rate of flow?

A 7.0-cm-diameter horizontal pipe gradually narrows to 4.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 32.0 kPa and 24.0 kPa ,
respectively.
What is the volume rate of flow? Express your answer using two
significant figures.

A 7.0-cm-diameter horizontal pipe gradually narrows to 5.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 32.0 kPa and 25.0 kPa ,
respectively.
What is the volume rate of flow?
Express your answer using two significant figures.

A 6.7 cm diameter horizontal pipe gradually narrows to 5.3 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 31.5 kPa and 23.4 kPa ,
respectively.What is the volume rate of flow?

A 6.4 cm diameter horizontal pipe gradually narrows to 3.9 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 30.5 kPa and 25.2 kPa ,
respectively.
What is the volume rate of flow?
Express your answer to two significant figures and include the
appropriate units.

A 6.8 cm diameter pipe gradually narrows to 4.0 cm. When water
flows through this pipe at a certain rate, the gauge pressure in
these two sections is 33.0 kPa and 24.0 kPa, respectively. What is
the volume rate of flow?

A 6.6 cm diameter pipe gradually narrows to 4.0 cm. When water
flows through this pipe at a certain rate, the gauge pressure in
these two sections is 30.0 kPa and 24.0 kPa, respectively. What is
the volume rate of flow?

Water flows through a horizontal pipe at a rate of 2.3 m3/s. A
pressure gauge placed on a 40 cm diameter section of the pipe reads
210.3 kPa. What is the gauge pressure in a section of pipe where
the diameter is constricted to 35 cm and what has caused this
change in pressure?

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