1. The problem statement, all variables and given/known data An upper tube of cross sectional area A, atmospheric pressure, and height h1 is connected to a lower tube with cross sectional area A/2 (and height 0). A fluid of uniform density rho flows through the system, with velocity v measured in the upper tube. A small open tube branches up off the lower one, with a column of fluid of height h2 inside it. Find h2. (See attached diagram.) 2. Relevant equations Bernoulli's equation, P1 + pgh1 +1/2*pv12 = constant Continuity equation, A1v1 = A2v2 3. The attempt at a solution Applying Bernoulli's equation between the top of fluid of height h2 and the left endpoint of the system, I got: (point 1 = left endpoint, point 2 = top of the column with height h2) P1 = atmospheric P2 = atmospheric KE1 = 1/2*rho*v2 KE2 = 0 PE1 = rho*g*h1 PE2 = rho*g*h2 Therefore h2 = h1 + v2/(2g). Is this right? I would think that a faster moving fluid pushes h2 up even higher (with h2 = h1 when v=0). The continuity equation tells us that the speed of the fluid inside the smaller tube is 2v. But does this even matter?