A pair of vertical, open-ended glass tubes inserted into a horizontal pipe are often used together to measure flow velocity in the pipe, a configuration called a Venturi meter. Consider such an arrangement with a horizontal pipe carrying fluid of density \(p\). The fluid rises to heights \({h_{1}}\) and \({h_{2}}\) in the two open-ended tubes (see figure). The cross-sectional area of the pipe is A1 at the position of tube 1, and \({A_{2}}\) at the position of tube 2.
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