Not a pump. A pump is a pump and an engine is an engine and they are two different things similar to the differences between a generator and an electric motor. A pump is the opposite of an engine with the movement of the piston forcing fluid to pass to another location and torque is added from the crankshaft. For the engine the explosion of the fuel causes the piston to move and torque is added to the crankshaft. The velocity of the piston movement will be determined by the pressure of the explosion, the mass of the piston/crankshaft/power train/and load with friction resistance added with an input for the initial velocity of all this drive train mass. It would seem to me that computing the energy (not mass) needed to double the speed would require that you consider the acceleration phase and the maintenance phase. Maintaining the engine and powertrain at the higher speed would take little more energy input than the lower speed. Load however is a totally different issue and there are no simple rules. Your factor of 8 does not seem to be reasonable for an unloaded engine but I do not recall ever having run the numbers. Some loads like plowing soil require more energy input at higher speeds. A wider plow at a lower speed can be more energy efficient that the narrow plow at a higher speed and the wider plow may be the best choice at the end of the day if the area covered is the same and speed is not needed to make the plowing work. Computing the difference however is more complicated that you have indicated.
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Today's Featured Article - A City Guy's First Tractor - by Fred Hambrecht. After living in apartments in Atlanta for more years than I care to remember, the wife and I decided to move to the country. Humming "Green Acres is the place for me..." we purchased a 29 acre tract about 60 miles south of Atlanta. Next came the house, I could talk about that ordeal for another two weeks... But, I want to talk about my tractor! We didn't even own a lawnmower, and all of a sudden we had enough grass to feed all the starving children of the bovine world. Naturally, I talked
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