Curtis:
You are defining your problem wrong,
First: One needs to calculate the energy that can be produced with the head and water volume.
3 feet * 0.3048 meter / foot * 50 gallon (minute) / 60 sec * 3.78 liter / gallon * 6 = 17 watts, one may expect a bit LESS due to the frictions and efficiencies at this power level.
Second: One needs to calculate the Turbine ( Banki ?) to optimize its RPM as defined by the generator RPM and its possible direct drive or multiplying "gizmo".
So here is the first step one needs to decide.
Third : for 50 gallon/min or 3 liter/sec with a head of 3 feet= 0.91 meters the Nozzle needs to be defined by the water velocity.
Fourth: Water velocity ( Meter/sec) = squareroot(2*0.91meter*9.81gravity)= 4.22 meter/sec
Fifth: Nozzle calculation: Are of Nozzle = Water volume/water velocity
Area(Nozzle)Cms^2=3000 cms^3/422 cms = 7.1 Cms^2
Sixth: One needs to wait for the Banki diameter to define the Nozzle that should cover 90 degrees of the second quadrant to properly drive the Banki and NOT AS SHOWN IN THIS GROUP IN THE HYDRO SECTION, they are wasting a lot of energy but since NO one there was to pay attention -- that is life.
Seventh: the generator sets the Banki and the final definition of the Nozzle to get maximum power harvesting
So let me know if you want the best system
Regards
Nando