Question

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.

Answer #1

According to Bernoulli's Principle

Since the Pipe is horizontal, ...... Eqn (1)

According Continuity Equation,

Substituting, ( for water)

Eqn (1)

Discharge,

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 6.8 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?

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 7.2 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 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 6.3 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?

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 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?

In a section of horizontal pipe with a diameter of 4.0 cm, the
pressure is 115 kPa and water is flowing with a speed of 1.5 m/s.
The pipe narrows to a 3.0-cm diameter. What is the pressure in kPa
in the narrower region? Treat the water as an ideal incompressible
fluid.

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