Water (density ) enters a -diameter pipe at ground level with a gauge pressure of and…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

Water (density

1.0\times10^{3}\,\text{kg}\!\cdot\!\text{m}^{-3}

) enters a

6.0\,\text{cm}

-diameter pipe at ground level with a gauge pressure of

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

and a speed of

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

. The pipe tapers smoothly to a

3.0\,\text{cm}

diameter and rises

4.0\,\text{m}

. Neglect viscosity. What is the gauge pressure in the upper section? (a)

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

(b)

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

(c)

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

(d)

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