Water (density 1000 kg/m³) flows upward from the basement to the first floor through…

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

Problem

Water (density 1000 kg/m³) flows upward from the basement to the first floor through a vertical pipe. At the basement level the pipe’s inner diameter is 4.0 cm and the gauge pressure there is 2.2×105 Pa2.2\times10^{5}\,\text{Pa}. Three metres higher, the pipe’s inner diameter is 2.0 cm and the flow speed is 2.0 m/s. Determine the gauge pressure at the first-floor location.

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