Question

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?

Answer #1

Solution-

density of water = 1000 kg/m³

D1 = 0.070 m A1 = πD1²/4 = 3.35E-3 m²

D2 = 0.050 m A2 = πD2²/4 = 1.96E-3 m²

P/1000 = fluid energy due to pressure

E1 = 33E3/E3 = 33 J/kg

E2 = 23E3/E3 = 23 J/kg

E1 - E2 = 10 J/kg

assuming pipe is level (doesn't change height):

(V2² - V1²)/2 = 10

V2² - V1² = 20

V1(A1) = V2(A2)

V1 = V2(A2/A1) = (1.96/3.35)V2 = 0.58V2

V2² - (0.58V2)² = 20

V2² - 0.35V2² = 20

0.65V2² = 20

V2² = 30.769

V2 =5.55 m/s

V2A2 = (5.55)(1.96E-3) = 10.9E-3 m³/s

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When water flows through this pipe at a certain rate, the gauge
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When water flows through this pipe at a certain rate, the gauge
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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.

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flows through this pipe at a certain rate, the gauge pressure in
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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
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What is the volume rate of flow?
Express your answer to two significant figures and include the
appropriate units.

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When water flows through this pipe at a certain rate, the gauge
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When water flows through this pipe at a certain rate, the gauge
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When water flows through this pipe at a certain rate, the gauge
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What is the volume rate of flow?
Express your answer to two significant figures and include the
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Water flows at a rate of 30 L/min through a horizontal
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