Water flows upward through a vertical pipe that narrows from a diameter of at ground…

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

Problem

Water flows upward through a vertical pipe that narrows from a diameter of

10\,\text{cm}

at ground level to a smaller diameter

d

at a point

5.0\,\text{m}

higher. The speed in the lower section is

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

, and the gauge pressure there is

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

. At the upper section the gauge pressure is measured to be

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

. Neglect viscosity and determine the diameter

d

of the upper section. (a)

2.3\,\text{cm}

(b)

6.5\,\text{cm}

(c)

4.5\,\text{cm}

(d)

3.7\,\text{cm}