Air (density ) flows through a duct

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

Problem

Air (density 1.2 kg m−31.2\,\text{kg m}^{-3}) flows through a duct. A stagnation tube and the duct wall are connected to a manometer containing water (density 1000 kg m−31000\,\text{kg m}^{-3}). The water levels differ by 5.0 cm5.0\,\text{cm}. Determine the speed of air in the duct. (Use g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.) (a) 21 m s−121\,\text{m s}^{-1} (b) 14 m s−114\,\text{m s}^{-1} (c) 29 m s−129\,\text{m s}^{-1} (d) 42 m s−142\,\text{m s}^{-1}

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