Physics

Physics

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 cm2.0\,\text{cm}, speed 1.5 m ⁣/ ⁣s1.5\,\text{m}\!/\!\text{s} toward the junction • Pipe Y (inlet): radius 1.5 cm1.5\,\text{cm}, speed 2.0 m ⁣/ ⁣s2.0\,\text{m}\!/\!\text{s} toward the junction • Pipe Z (outlet): radius 2.5 cm2.5\,\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 m ⁣/ ⁣s2.4\,\text{m}\!/\!\text{s} b) 1.7 m ⁣/ ⁣s1.7\,\text{m}\!/\!\text{s} c) 0.85 m ⁣/ ⁣s0.85\,\text{m}\!/\!\text{s} d) 1.8 m ⁣/ ⁣s1.8\,\text{m}\!/\!\text{s}

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