Horsepower (International) to Foot pounds-force second
hp
ft·lbf/s
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 hp (Horsepower (International)) → 550.00000030660901082662 ft·lbf/s (Foot pounds-force second) Just now |
Quick Reference Table (Horsepower (International) to Foot pounds-force second)
| Horsepower (International) (hp) | Foot pounds-force second (ft·lbf/s) |
|---|---|
| 0.5 | 275.00000015330450541331 |
| 1 | 550.00000030660901082662 |
| 10 | 5,500.00000306609010826623 |
| 100 | 55,000.00003066090108266228 |
| 200 | 110,000.00006132180216532455 |
| 400 | 220,000.0001226436043306491 |
| 1,000 | 550,000.00030660901082662276 |
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 second (ft·lbf/s)
Foot pounds-force per second (ft·lbf/s) is the fundamental mechanical power unit in the US customary system, equal to approximately 1.356 watts. It is the rate of doing work when a force of one pound-force moves through one foot per second. The unit is directly related to the mechanical horsepower: one horsepower equals exactly 550 ft·lbf/s. It appears in US mechanical engineering, ballistics, and machinery design texts.
One mechanical horsepower equals 550 ft·lbf/s (~746 W). A person climbing stairs moderately expends about 200–300 ft·lbf/s of mechanical power.
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 second – Frequently Asked Questions
Why is horsepower defined as exactly 550 ft·lbf/s?
James Watt calculated that a mill horse could turn a mill wheel 144 times per hour, doing 32,572 ft·lbf of work per minute — he rounded up to 33,000 ft·lbf/min (550 ft·lbf/s) for marketing purposes. He wanted to sell steam engines by comparing them to horses, so he likely overestimated the horse to make his engines look like better value. A real horse sustains closer to 350–500 ft·lbf/s, so Watt's "1 HP" is actually more than one horse.
How do you calculate ft·lbf/s from torque and RPM?
Power (ft·lbf/s) = Torque (ft·lbf) × RPM × 2π / 60. This is the workhorse formula (pun intended) of US mechanical engineering. For example, an engine producing 200 ft·lbf of torque at 3,000 RPM delivers 200 × 3,000 × 6.2832 / 60 = 62,832 ft·lbf/s ≈ 114 hp. The formula works because angular velocity in rad/s times torque in ft·lbf gives power directly in ft·lbf/s.
What everyday forces produce 1 ft·lbf/s of power?
Pushing with 1 pound of force at 1 foot per second — roughly the effort of slowly sliding a light book across a table against friction. Lifting a 1-pound weight 1 foot in 1 second. Turning a doorknob with a very light touch. It's about 1.36 watts — enough to dimly light an LED. In human terms, it's almost effortless: casual walking produces about 50–80 ft·lbf/s of mechanical power, and you don't even notice.
Is ft·lbf/s still used in modern American engineering?
Yes, particularly in ballistics (muzzle energy rates), mechanical testing (dynamometer output), agricultural machinery specs, and industrial equipment designed for the US market. However, even in the US, many engineering firms are switching to SI units for international compatibility. The automotive industry increasingly quotes power in both hp and kW. Aerospace has been mostly metric since the 1990s. Ft·lbf/s survives mainly in traditional mechanical and manufacturing industries.
How does ft·lbf/s relate to bullet kinetic energy?
Bullets are rated in ft·lbf of muzzle energy (not per second), but the power of a firearm is the muzzle energy divided by barrel time. A .308 rifle bullet exits with about 2,600 ft·lbf of energy over a barrel transit time of ~0.001 seconds, meaning the instantaneous power is roughly 2,600,000 ft·lbf/s (about 3,500 hp). That's why rifle recoil feels punchy — for a millisecond, you're absorbing the reaction force of a truck engine.