Will the gate in Problem 44 ever open?

Problem 44

A flowrate measuring device is installed in a horizontal pipe through which water is flowing. A U-tube manometer is connected to the pipe through pressure taps located 3 in. on either side of the device. The gage fluid in the manometer has a specific weight of \(112 \mathrm{lb} / \mathrm{ft}^{3}\). Determine the differential reading of the manometer corresponding to a pressure drop between the taps of \(0.5 \mathrm{lb} / \mathrm{in}^{2}{ }^{2}\)