Water flows steadily through a horizontal pipeline that contracts from a wider to a…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

Water flows steadily through a horizontal pipeline that contracts from a wider to a narrower circular section. (i) The diameter changes from

6\,\text{cm}

4\,\text{cm}

. If the average speed in the wider section is

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

, calculate the speed in the narrower section. (ii) Determine the volume of water that leaves the narrower section in

5\,\text{min}

, expressing your answer first in

\text{m}^3

and then in litres.