Foot pounds-force second to Kilogram-force meters/hour
ft·lbf/s
kgf·m/h
Conversion History
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Quick Reference Table (Foot pounds-force second to Kilogram-force meters/hour)
| Foot pounds-force second (ft·lbf/s) | Kilogram-force meters/hour (kgf·m/h) |
|---|---|
| 1 | 497.71783575494509900384 |
| 10 | 4,977.17835754945099003835 |
| 100 | 49,771.78357549450990038354 |
| 200 | 99,543.56715098901980076708 |
| 550 | 273,744.80966521980445210948 |
| 1,000 | 497,717.83575494509900383542 |
| 5,000 | 2,488,589.17877472549501917709 |
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.
About Kilogram-force meters/hour (kgf·m/h)
Kilogram-force meters per hour (kgf·m/h) equals approximately 0.002724 watts, representing a very slow mechanical power rate. It is occasionally used in agricultural engineering, slow lifting machinery, and older technical documents for processes where the energy delivery occurs over hours. One watt equals approximately 367 kgf·m/h. The unit is almost exclusively historical or domain-specific in contemporary use.
A slow winch lifting 100 kg by 10 m over one hour delivers 1,000 kgf·m/h (~2.72 W) of average mechanical power. Human sustained cycling output is about 100,000–200,000 kgf·m/h.
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.
Kilogram-force meters/hour – Frequently Asked Questions
What kinds of machinery operate at kgf·m/h power levels?
Clock mechanisms (0.01–1 kgf·m/h), self-winding watches using wrist motion (~0.1 kgf·m/h), slow agricultural irrigation pumps powered by animal treadmills (10,000–50,000 kgf·m/h), and historical mining hoists operated by water wheels. Any process where heavy loads move very slowly — like the hour hand of a tower clock lifting its counterweight — naturally operates in kgf·m/h territory.
How does kgf·m/h relate to metric horsepower?
One metric horsepower = 270,000 kgf·m/h (4,500 kgf·m/min × 60). This means a 1 hp motor working for one hour lifts 270 tonnes by one meter, or 1 tonne by 270 meters. The hourly framing makes large-scale work tangible: a 10 hp engine working all day (8 hours) at full power performs 21,600,000 kgf·m of work — enough to lift 2,160 tonnes by one meter. It's why hourly rates appear in construction and mining productivity calculations.
How much kgf·m/h does a draft animal produce over a working day?
An ox working steadily produces about 180,000–270,000 kgf·m/h (0.5–0.75 metric hp) and can sustain this for 6–8 hours. A horse produces 270,000–360,000 kgf·m/h (0.75–1 hp) for 4–6 hours. A donkey manages about 90,000–135,000 kgf·m/h (0.25–0.37 hp) but can work longer hours. These rates determined pre-industrial agriculture's productivity ceiling: a farmer with one ox could plow about 0.4 hectares per day.
Is there any modern use case for kgf·m/h?
Surprisingly, yes — in slow-motion structural testing. When engineers fatigue-test a bridge component by slowly cycling loads over hours, reporting the energy input rate in kgf·m/h matches the test timescale. Also in geotechnical engineering: the rate of ground consolidation under building loads, or the power of slow landslide movement, is sometimes expressed in kgf·m/h. These are niche applications, but the unit survives where the process is genuinely hourly-scale.
How many kgf·m/h is a human body at rest?
Resting metabolic rate is about 80 W ≈ 29,400 kgf·m/h of total heat output. But in terms of useful mechanical work output, a resting human produces essentially 0 kgf·m/h — all the energy goes to heat. Even standing costs about 7,000–10,000 kgf·m/h in metabolic power but produces no external work. This highlights the distinction between thermal power (always present) and mechanical power (only when doing physical work).