A horizontal water main of area is to be fitted with a venturi throat

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

Problem

A horizontal water main of area 4.0×10−3 m24.0 \times 10^{-3}\,\text{m}^2 is to be fitted with a venturi throat. When the speed in the main is 2.5 m s−12.5\,\text{m}\,\text{s}^{-1}, the required pressure drop between the main and the throat is 4.0×103 Pa4.0 \times 10^{3}\,\text{Pa}. Taking water density 1000 kg m−31000\,\text{kg}\,\text{m}^{-3}, determine the area of the throat (give your answer in m2\text{m}^2).

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