Water flows downward along a pipe that is inclined at \(30^{\circ}\) below the horizontal, as shown. Pressure difference \(p_{A}-p_{B}\) is due partly to gravity and partly to friction. Derive an algebraic expression for the pressure difference. Evaluate the pressure difference if \(L=5 \mathrm{ft}\) and \(h=6\) in.

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Water a I h T2 30 B g Mercury h 2 P3.23