Water enters a -diameter pipe at a speed of and gauge pressure

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Water enters a

5.0\,\text{cm}

-diameter pipe at a speed of

1.8\,\text{m}\,\text{s}^{-1}

and gauge pressure

2.6\times10^{5}\,\text{Pa}

. The pipe rises

3.0\,\text{m}

and narrows abruptly to

2.0\,\text{cm}

in diameter. Because of minor losses,

10\%

of the mechanical energy per unit volume present at the lower section is dissipated between the two sections. Neglect any additional viscous effects. What is the gauge pressure in the upper section? (a)

2.0\times10^{5}\,\text{Pa}

(b)

8.6\times10^{4}\,\text{Pa}

(c)

1.4\times10^{5}\,\text{Pa}

(d)

1.7\times10^{5}\,\text{Pa}

Related theory

Fluid Dynamics
Bernoulli's Principle
Fluids
Fluid flow and Bernoulli's theorem
Mechanical Properties of Fluids

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