A rectangular open channel of width and depth carries water at a uniform speed of

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

Problem

A rectangular open channel of width

0.20\,\text{m}

and depth

0.15\,\text{m}

carries water at a uniform speed of

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

. This channel is smoothly connected to a circular pipeline of diameter

5.0\,\text{cm}

. Assuming steady incompressible flow and ignoring friction, the speed of water in the circular pipe is closest to (a)

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

(b)

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

(c)

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

(d)

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