Water of constant density flows steadily through the arrangement shown

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

Problem

Water of constant density flows steadily through the arrangement shown. • Inlet pipe: diameter 6 cm6\,\text{cm}, speed 2.0 m ⁣/ ⁣s2.0\,\text{m}\!/\!\text{s} • Outlet A: diameter 4 cm4\,\text{cm}, speed 3.0 m ⁣/ ⁣s3.0\,\text{m}\!/\!\text{s} • Outlet B: diameter 3 cm3\,\text{cm}, speed unknown What is the average speed of the water in outlet B? (a) 4.0 m ⁣/ ⁣s4.0\,\text{m}\!/\!\text{s} (b) 2.7 m ⁣/ ⁣s2.7\,\text{m}\!/\!\text{s} (c) 2.5 m ⁣/ ⁣s2.5\,\text{m}\!/\!\text{s} (d) 8.0 m ⁣/ ⁣s8.0\,\text{m}\!/\!\text{s}

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