Donkeypower to Horsepower (Water)

It's both. The value of 250 watts is well-defined and occasionally referenced in engineering education and humorous technical papers. It never achieved official recognition from any standards body, but it has appeared in legitimate engineering textbooks as a pedagogical tool. The unit highlights a genuine gap in the power scale — many household devices and human activities fall in the 50–500 W range where fractional horsepower feels awkward. "Two donkeypower" sounds better than "0.67 horsepower."

A real donkey can sustain about 125–200 watts (0.5–0.8 dp) of useful mechanical work over a full day, and briefly peak at 750–1,500 W (3–6 dp) during a short burst. So the unit slightly overestimates a donkey's sustained output — much like horsepower overestimates a horse. A working donkey in a developing country might turn a water pump or grain mill for 6–8 hours, delivering roughly 0.5–0.7 dp of sustained useful work.

A desktop computer (200–300 W), a bread toaster on low setting (250 W), a box fan on high (200–250 W), a sewing machine motor (250 W), and a human cycling at a moderate sustainable pace (200–250 W). It's a delightfully human-scale unit — roughly the sustained mechanical output of one fit person, or the electrical draw of one modest appliance. Your entire body at rest produces about 0.35 donkeypower of heat.

There's "manpower" (about 75 W sustained, or 0.3 dp), which was used in ancient and medieval engineering for human-powered machines like treadwheels and capstans. "Oxpower" appears in some agricultural texts at roughly 500 W (2 dp). None are standardized. Some engineers have jokingly proposed "hamster power" (~0.5 W, so 0.002 dp) and "ant power" (~10⁻⁵ W). The zoo of animal power units perfectly illustrates why SI standardisation was necessary.

It would actually make more sense for many applications. A blender at "3/4 horsepower" sounds industrial; "2 donkeypower" is more honest and relatable. A hand mixer at "1/8 hp" is awkwardly fractional; "1/3 donkeypower" is cleaner. But the ship has sailed — horsepower (and watts) are too entrenched. Donkeypower's true legacy is as a beloved teaching tool and pub quiz answer. It reminds engineers that units are human inventions, not laws of nature.

Water HP = (Flow in GPM × Total Head in feet) / 3,960. The magic number 3,960 comes from the weight of water (8.33 lb/gal) × 33,000 ft·lbf/min per hp ÷ 8.33 × the appropriate conversions. For example: 200 GPM at 80 feet of head = 200 × 80 / 3,960 = 4.04 water hp. If the pump is 75% efficient, you need 4.04 / 0.75 = 5.39 shaft hp, so you'd select a 7.5 hp motor (next standard NEMA size up).

Because the motor must provide shaft hp, not water hp. If your application needs 3 water hp but the pump is only 65% efficient, you need 3 / 0.65 = 4.6 shaft hp — meaning a 5 hp motor minimum. Underestimating this gap leads to overloaded motors, overheating, and premature failure. Pump efficiency varies from 30% (tiny pumps) to 90% (large, well-designed centrifugal pumps), so the water-hp-to-shaft-hp gap ranges from 10% to 70%.

Water hp is the useful hydraulic output — the power actually delivered to the fluid as pressure and flow. Brake hp (bhp) is the shaft input power measured at the coupling. The ratio is pump efficiency: η = WHP / BHP. A pump rated at 10 bhp with 80% efficiency delivers 8 water hp; the other 2 hp is lost to friction, turbulence, and heat in the pump. When specifying pumps, you calculate the required water hp first, then divide by efficiency to find the necessary brake hp.

Rarely. International pump engineering uses kilowatts for both hydraulic power and shaft power. The formula becomes: Hydraulic Power (kW) = (Flow in m³/h × Head in meters × density × g) / 3,600,000. European pump catalogs list "hydraulic efficiency" as a percentage relating input kW to output kW. The concept is identical — water hp is just the US customary wrapper around it. If you see "water horsepower" in a specification, it's almost certainly an American or Canadian document.

Municipal water supply: 50–500 water hp per pump station. Oil pipeline pumping: 1,000–10,000 water hp per station. Mining dewatering: 100–5,000 water hp. Hydroelectric dam penstocks deliver thousands of water hp to turbines (in reverse — the water does the work). The largest single pump installations, like the pumps protecting New Orleans from flooding, can exceed 10,000 water hp each — moving millions of gallons per minute against levee heights.