A pipeline carrying water narrows from a diameter of to

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

Problem

A pipeline carrying water narrows from a diameter of

4.0\,\text{cm}

2.0\,\text{cm}

. At the wider section the gauge pressure is

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

and the speed is

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

. At the narrower section the gauge pressure is

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

. Neglect viscosity and determine the elevation of the narrow section relative to the wide section. (a) Approximately

4.7\,\text{m}

higher (b) Approximately

0.8\,\text{m}

lower (c) Approximately

7.7\,\text{m}

lower (d) Approximately

0.8\,\text{m}

higher