Oil of uniform density flows steadily toward a pipe junction through two inlet pipes…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Oil of uniform density flows steadily toward a pipe junction through two inlet pipes and leaves through a single outlet pipe. • Pipe X (inlet): radius

2.0\,\text{cm}

, speed

1.5\,\text{m}\!/\!\text{s}

toward the junction • Pipe Y (inlet): radius

1.5\,\text{cm}

, speed

2.0\,\text{m}\!/\!\text{s}

toward the junction • Pipe Z (outlet): radius

2.5\,\text{cm}

, speed unknown and directed away from the junction Assuming steady flow and no accumulation of oil at the junction, what is the average speed of the oil in pipe Z? (a)

2.4\,\text{m}\!/\!\text{s}

(b)

1.7\,\text{m}\!/\!\text{s}

(c)

0.85\,\text{m}\!/\!\text{s}

(d)

1.8\,\text{m}\!/\!\text{s}

Related theory

Fluid Dynamics
Fluids
Fluid flow and Bernoulli's theorem
Streamline flow
Mechanical Properties of Fluids

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