Horsepower (Water) to Horsepower (Metric)
hp
hp
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 hp (Horsepower (Water)) → 1.01433619023825669316 hp (Horsepower (Metric)) Just now |
Quick Reference Table (Horsepower (Water) to Horsepower (Metric))
| Horsepower (Water) (hp) | Horsepower (Metric) (hp) |
|---|---|
| 0.1 | 0.10143361902382566932 |
| 0.5 | 0.50716809511912834658 |
| 1 | 1.01433619023825669316 |
| 2 | 2.02867238047651338632 |
| 5 | 5.07168095119128346581 |
| 10 | 10.14336190238256693162 |
| 50 | 50.71680951191283465811 |
About Horsepower (Water) (hp)
Water horsepower (hp(W)) equals 746.043 watts and is used specifically in pump engineering to express the hydraulic power delivered to a fluid, as distinct from the shaft power input to the pump. It accounts for the fact that a pump's mechanical input power always exceeds the hydraulic power delivered due to efficiency losses. Pump efficiency is calculated as water hp divided by input shaft hp. The difference between water hp and electric/mechanical hp is negligible (0.05%) for most calculations.
A pump delivering 100 gallons per minute at 50 feet of head produces approximately 1.26 water hp of hydraulic power. A pump rated at 2 shaft hp may deliver 1.6 water hp at 80% efficiency.
About Horsepower (Metric) (hp)
Metric horsepower (PS or CV, from German Pferdestärke or French Cheval-vapeur) equals exactly 75 kgf·m/s or 735.49875 watts. It is the standard for automotive engine power ratings in continental Europe, Japan, and many other countries. A typical family car engine produces 70–150 PS; sports cars 200–500 PS; hypercars exceeding 1,000 PS. The metric hp is about 1.4% less than the mechanical (British) horsepower (745.7 W).
A VW Golf 1.5 TSI produces about 130 PS (96 kW). A Porsche 911 Turbo S produces 650 PS (478 kW). The metric hp is the number on European car spec sheets.
Etymology: Introduced in the late 19th century as a metric alternative to Watt's mechanical horsepower, defined as the power to raise 75 kilograms by one meter per second. Widely adopted in continental Europe and Japan; standardized as the PS (Pferdestärke) in Germany.
Horsepower (Water) – Frequently Asked Questions
How do you calculate water horsepower for a pump?
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).
Why does water horsepower matter when sizing a pump motor?
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%.
How does water horsepower differ from brake horsepower in pumps?
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.
Is water horsepower used outside the United States?
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.
What pump applications require the most water horsepower?
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.
Horsepower (Metric) – Frequently Asked Questions
Why do European cars list PS instead of hp?
EU regulations require engine power in kilowatts, but consumers prefer a familiar number. Continental Europe adopted metric horsepower (PS) in the 19th century, and car culture cemented it. Germans say "PS," French say "CV," Italians say "CV" too. The UK uses "bhp" (British horsepower). A 200 PS car is 197 hp — close enough that most people don't notice the 1.4% difference. Japanese manufacturers use PS as well (sometimes written 馬力).
How does a car with 100 PS actually feel to drive?
In a light car (1,000 kg), 100 PS gives a power-to-weight ratio of 100 PS/tonne — adequate for city driving with 0–100 km/h in about 10–11 seconds. In a heavy SUV (2,000 kg), 100 PS feels sluggish, struggling on hills and taking 15+ seconds to reach highway speed. The magic number for "fun" is roughly 150–200 PS per tonne — which is why a 90 PS Mazda MX-5 (1,000 kg) feels livelier than a 200 PS family SUV (1,800 kg).
What is the most powerful production car in PS?
As of 2025, the Rimac Nevera holds the production EV record at 1,914 PS (1,408 kW). For combustion engines, the Bugatti Chiron Super Sport delivers 1,600 PS. Koenigsegg's Jesko Absolut produces 1,600 PS. But the real mind-bender is that a Formula 1 car's power unit produces about 1,050 PS from just 1.6 liters — over 650 PS per liter, achieved through turbocharging and energy recovery systems at 15,000 RPM.
Why is metric horsepower slightly less than British horsepower?
Because they're defined differently. British hp = 550 ft·lbf/s = 745.7 W. Metric hp = 75 kgf·m/s = 735.5 W. The metric definition uses round metric numbers (75 kg, 1 m, 1 s) rather than being an exact conversion of the British unit. The ~1.4% gap is small enough that it rarely matters practically, but it means a car rated at 200 PS is technically 197 hp. Marketing departments sometimes quietly use whichever number is larger.
Do electric cars use PS or kW for their power ratings?
Both, depending on market. Tesla lists kW in tech specs but PS/hp in consumer marketing because buyers understand horsepower intuitively. A Tesla Model 3 Performance produces about 460 PS (340 kW). The shift toward kW is accelerating because EVs make the kW connection obvious — if you charge at 11 kW and your motor outputs 150 kW, the relationship is clear. Eventually kW may replace PS entirely, but decades of "how many horses?" thinking won't die easily.