Horsepower (International) to Foot pounds-force minute
hp
ft·lbf/min
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 hp (Horsepower (International)) → 33000.00001839649197049549 ft·lbf/min (Foot pounds-force minute) Just now |
Quick Reference Table (Horsepower (International) to Foot pounds-force minute)
| Horsepower (International) (hp) | Foot pounds-force minute (ft·lbf/min) |
|---|---|
| 0.5 | 16,500.00000919824598524774 |
| 1 | 33,000.00001839649197049549 |
| 10 | 330,000.00018396491970495486 |
| 100 | 3,300,000.00183964919704954862 |
| 200 | 6,600,000.00367929839409909725 |
| 400 | 13,200,000.00735859678819819449 |
| 1,000 | 33,000,000.01839649197049548623 |
About Horsepower (International) (hp)
International horsepower (hp(I)) equals 745.699872 watts — numerically identical to the British mechanical horsepower and defined by international agreement in 1956. It is now the reference standard for horsepower in most engineering and international trade contexts. Most automotive power ratings labelled simply "hp" outside Europe refer to this definition. The international hp differs from the metric hp (PS) by about 1.4% and from the electric hp by 0.04%.
The SAE (Society of Automotive Engineers) uses international horsepower for US automotive ratings. A Ford F-150 5.0L V8 produces 400 hp (international) = 298 kW.
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.
Horsepower (International) – Frequently Asked Questions
Why was an "international" horsepower standard needed?
By the mid-20th century, at least five different horsepower definitions existed: British mechanical, metric (PS), electric, boiler, and water. International trade required a single reference. The 1956 agreement standardized the mechanical/British value (745.699872 W) as the international benchmark. This didn't eliminate the others — metric PS persists in Europe, electric hp in US motors — but it gave engineers a common reference when precision matters or when "hp" appears without qualification.
How do SAE horsepower ratings work for American cars?
SAE J1349 specifies measuring net horsepower with all production accessories (alternator, water pump, AC compressor) attached, at standard atmospheric conditions. Before 1972, US manufacturers used gross hp (engine on a test stand with minimal accessories), which inflated numbers by 15–25%. The switch to SAE net ratings famously caused "overnight" power drops: a Corvette went from "350 hp" (gross) to "255 hp" (net) in 1972 — same engine, honest measurement.
Does Japan use international horsepower or metric PS?
Japan officially uses metric PS (called 馬力, "horse power," abbreviated PS after the German). Japanese car specs list PS, and JIS standards define power in PS. However, for international export, Japanese manufacturers convert to international hp or kW depending on the destination market. A Nissan GT-R produces 570 PS for the Japanese market and 565 hp for the US market — the same engine, different unit systems, and the ~1% gap occasionally causes forum arguments.
What is the most powerful engine ever built in international horsepower?
The Wärtsilä-Sulzer RTA96-C, a marine diesel engine used in the largest container ships, produces about 109,000 hp (international) — 80,080 kW from 14 cylinders each the size of a small apartment. It's 13.5 meters tall and weighs 2,300 tonnes. At 102 RPM, it turns propellers the size of houses. For comparison, a Saturn V rocket's five F-1 engines produced about 217 million hp combined, but only for 2.5 minutes.
Will horsepower eventually be replaced by kilowatts worldwide?
Probably, but slowly. The EU already legally requires kW; China uses kW; scientific and engineering communities prefer kW. But cultural inertia is powerful — Americans have been buying cars by horsepower for over a century, and "how many horses under the hood" is deeply embedded in car culture. The transition to EVs may accelerate the shift, since electric motors are naturally rated in kW. Give it 20–30 years, and hp may join the furlong and the gill in the museum of obsolete units.
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.