Water flows steadily through a horizontal pipe that tapers from an internal diameter of to

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

Problem

Water flows steadily through a horizontal pipe that tapers from an internal diameter of 10 cm10\,\text{cm} to 5 cm5\,\text{cm}. The pressure at the larger section is 3.0×105 Pa3.0\times10^{5}\,\text{Pa}. If the discharge through the pipe is 0.020 m3 s−10.020\,\text{m}^{3}\,\text{s}^{-1}, determine the pressure at the smaller section. (Take ρ=1000 kg m−3\rho=1000\,\text{kg\,m}^{-3} and g=9.8 m s−2g=9.8\,\text{m\,s}^{-2}.)

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