One book that I had ( I cant find it now) actually listed that formula for the sizing of an ELECTRIC motor. And not just HP requirements. Those #'s that you listed do seem a bit small to me. An example of where I work, we have a denison 29GPM pump and it is driven by a 15HP 3phase motor. And we have several of them units where I work and they are all sized the same.
As an other example, when we hooked our 11gpm pump up to an electric motor, the current draw was 19-21 AMPS @ 3000psi. Current draw is the most important factor to look at.
As for the link to your "motor of choice", is not a good motor at all. First it is an Air comp motor, which are built much lighter, usually not designed for contunious duty, only have a SF of 1.0, and it is an open motor and not a TEFC. That motor is also rated @ ~20 amps, which would barley be adequite on the 11gpm pump, based on the current draw that we have tested. If you go to TSC and compare their "farm duty" motors to the Air comp motors, you'll see what I mean. The Farm duty is twice the size and usually a "true" 5HP motor is rated between 25 and 30 amps.
This is close to what you need, although I still wouldn't use it on bigger than a 16gpm and I would also try to find a TEFC motor, otherwise the benifit of electric motors lasting a long time goes right out the window.
Leeson Reversible Electric Motor 5 HP, 3450 RPM, Model# 131616 | Electric Motors | Northern Tool + Equipment
LD1,
You mentioned that you connected the 11GPM pump to an electric motor. You did not state what RPM the motor was or voltage you were running at. 3600 or 1800 RPM motor? Voltage? 11 GPM would only be the case if using a 3600 RPM motor and amps alone do not tell about load. I assume probably 230V. 3PH or single?