A sealed cylindrical tank contains water with its top surface above a small opening…

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

Problem

A sealed cylindrical tank contains water with its top surface 2.0 m2.0\,\text{m} above a small opening at the bottom. The air space above the water is pressurized to 1.30×105 Pa1.30\times10^{5}\,\text{Pa} (absolute), while the outside air is at 1.01×105 Pa1.01\times10^{5}\,\text{Pa}. The density of water is ρ=1.0×103 kg m−3\rho = 1.0\times10^{3}\,\text{kg}\,\text{m}^{-3}. Assuming the water level remains steady, determine the speed of the water as it leaves the opening. Use g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}.

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