A water turbine is installed to extract energy from the incoming flow. We assume that the flow is uniform at both the inlet and the outlet. We know: the density of fluid p; the area of the inlet A, and that of the outlet A,; the pressure at the inlet (rho1) and that of the outlet (rho2) are different; and the flow velocity at the inlet V1. Find:

a. Flow velocity V2, at the outlet.
b. The overall hydrodynamic force acting on the turbine in the horizontal direction.
c. If we ignore the pressure difference at the inlet and the outlet, and assume that the energy loss of the fluid is completely extracted by the turbine, determine the power extraction