(Solved): (20 points) An orifice flow meter is a calibrated device that allows the fluid flow rate to be infe ...

(20 points) An orifice flow meter is a calibrated device that allows the fluid flow rate to be inferred from the measured pressure drop across the orifice. Water flows through an orifice. A manometer filled with fluid of specific gravity \( 1.87 \) is used to measure the pressure difference. The pressure difference, \( \mathrm{p}_{1}-\mathrm{p}_{4}=5000 \mathrm{~Pa} \). What is the height difference, h?