Water flows steadily through the large tanks shown in the fi

Water flows steadily through the large tanks shown in the figure below. Determine the water depth h_A.

Solution

From the drawing you know that the flow rates are equal. You need to determine what pressure in tank a will cause the same flow in tank b. Flow rate =FR = (Pi * (R^4) * (P -- P0))/(8 * N * L). The variables in this equation represent different physical parameters of the specific system under investigation. The FR is the flow rate given in gallons per second. R is the radius of the pipe, P0 is the pressure at one end of the pipe and P is the pressure at the other end of the pipe, L is the length of the pipe and N is the viscosity of the liquid. if we assume the length of the pipes is equal we can set up the equation as PI*(.05/2)^4)*2=PI*(.03/2)^4*X solve for X, I get ~15.43