A main pipe of cross-sectional area carries water at to a junction where it splits…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A main pipe of cross-sectional area

5.0\text{ cm}^2

carries water at

2.0\,\text{m/s}

to a junction where it splits into Path X (area

1.0\text{ cm}^2

) and Path Y (area

2.5\text{ cm}^2

). Downstream, Path Y divides again into Outlet 2 (area

1.0\text{ cm}^2

, speed

4.0\,\text{m/s}

) and Outlet 3 (area

1.5\text{ cm}^2

, speed unknown). The speed of the water in Path Y just before it splits is measured to be

2.8\,\text{m/s}

. Calculate the speed of the water in Outlet 3.