Foot pounds-force minute to Horsepower (Metric)
ft·lbf/min
hp
Conversion History
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Quick Reference Table (Foot pounds-force minute to Horsepower (Metric))
| Foot pounds-force minute (ft·lbf/min) | Horsepower (Metric) (hp) |
|---|---|
| 100 | 0.0030723323194750093 |
| 1,000 | 0.03072332319475009305 |
| 5,000 | 0.15361661597375046525 |
| 10,000 | 0.30723323194750093049 |
| 33,000 | 1.01386966542675307062 |
| 100,000 | 3.07233231947500930491 |
| 330,000 | 10.1386966542675307062 |
About Foot pounds-force minute (ft·lbf/min)
Foot pounds-force per minute (ft·lbf/min) equals approximately 0.02260 watts. It is used in US mechanical engineering for low-power applications and in the historical definition of horsepower: one horsepower was defined by James Watt as 33,000 ft·lbf/min — the rate at which a horse could lift coal from a mine. This unit is now mostly encountered in legacy engineering references and historical machinery specifications.
One mechanical horsepower = 33,000 ft·lbf/min. A hand-cranked generator might produce 2,000–5,000 ft·lbf/min of mechanical power output.
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.
Foot pounds-force minute – Frequently Asked Questions
Where does the number 3,960 come from in US pump sizing formulas?
The pump horsepower formula HP = (GPM × Head in ft) / 3,960 hides a chain of unit conversions. Water weighs 8.33 lb per US gallon. Multiplying GPM × Head × 8.33 gives ft·lbf/min. Dividing by 33,000 ft·lbf/min per hp gives horsepower. So 33,000 ÷ 8.33 ≈ 3,960. The number is so ubiquitous in US mechanical engineering that pump designers recognize it on sight, yet few remember the derivation. It breaks down for fluids other than water — multiply by specific gravity for anything denser or lighter.
What real-world tasks produce 33,000 ft·lbf/min?
Lifting 330 lbs (150 kg) at 100 feet per minute — roughly the speed of a slow freight elevator. Or lifting 33 lbs at 1,000 ft/min (a fast dumbwaiter). A human on a bicycle sustainably produces about 5,000–10,000 ft·lbf/min (0.15–0.3 hp). A small outboard boat motor produces about 165,000 ft·lbf/min (5 hp). The unit makes intuitive sense for lifting and hoisting — the original application Watt cared about.
Why use ft·lbf/min instead of ft·lbf/s?
Historical convention and practical timescale. Mine hoists, waterwheels, and early steam engines operated at rates naturally measured per minute — the machinery completed one cycle every few seconds to minutes. Watt himself measured horses per minute because that's how mine work was timed. The per-minute unit also gives larger, more manageable numbers: "33,000 ft·lbf/min" is easier to work with than "550 ft·lbf/s" when you're doing longhand arithmetic in 1780.
How much ft·lbf/min can a human sustain?
A healthy adult can sustain about 4,000–6,000 ft·lbf/min (roughly 90–135 W or 0.12–0.18 hp) of useful mechanical work for hours — think steady cycling or rowing. Short bursts reach 15,000–25,000 ft·lbf/min (0.5–0.75 hp). Elite cyclists sustain 12,000+ ft·lbf/min (0.4 hp) for an hour. By Watt's definition, a horse sustains 33,000 ft·lbf/min, meaning one horse ≈ 5–8 sustained humans. The ancient rule of "ten slaves per horse" wasn't far off.
Is 33,000 ft·lbf/min still used in any modern calculations?
Yes — it's embedded in US pump and fan engineering. The formula for pump horsepower is: HP = (GPM × Head in ft × Specific Gravity) / 3,960, where 3,960 = 33,000 / (8.33 lb/gal). The number 33,000 ft·lbf/min lurks inside every US pump sizing calculation, even if the engineer never writes it explicitly. It also appears in ASME standards for hoists, cranes, and elevators — anywhere lifting power needs to be specified.
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.