Foot pounds-force second to Watt
ft·lbf/s
W
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 ft·lbf/s (Foot pounds-force second) → 1.35581794833508 W (Watt) Just now |
Quick Reference Table (Foot pounds-force second to Watt)
| Foot pounds-force second (ft·lbf/s) | Watt (W) |
|---|---|
| 1 | 1.35581794833508 |
| 10 | 13.5581794833508 |
| 100 | 135.581794833508 |
| 200 | 271.163589667016 |
| 550 | 745.699871584294 |
| 1,000 | 1,355.81794833508 |
| 5,000 | 6,779.0897416754 |
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 Watt (W)
The watt (W) is the SI unit of power, defined as one joule of energy transferred per second. It is the universal unit for electrical power, covering everything from a 1 W LED indicator light to a 3,000 W electric shower. Power consumption of appliances, power station output, and solar panel ratings are all expressed in watts or its multiples. One watt equals one volt multiplied by one ampere in a DC circuit, linking power directly to the foundational electrical quantities.
A modern LED bulb uses 8–10 W to produce the same light as a 60 W incandescent. A laptop draws 30–65 W; a microwave oven 800–1,200 W.
Etymology: Named after Scottish engineer James Watt (1736–1819), whose improvements to the steam engine drove the Industrial Revolution. The unit was adopted by the Second Congress of the British Association for the Advancement of Science in 1889.
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.
Watt – Frequently Asked Questions
How many watts does a phone charger actually use?
A standard USB charger draws 5–10 W, while fast chargers pull 18–65 W and some proprietary ones hit 120–240 W. The charger itself consumes about 0.1–0.3 W even when nothing is plugged in — so-called "vampire power." Over a year, a plugged-in-but-idle charger wastes roughly 2 kWh, costing pennies but multiplied across billions of chargers worldwide it adds up to gigawatt-hours of waste.
Why is a watt called a watt and not a joule per second?
Both are identical — 1 W = 1 J/s — but the watt was named in 1889 to honor James Watt, who quantified engine power decades before the joule was formalised. Giving power its own name made practical engineering simpler: saying "a 60-watt bulb" is far catchier than "a 60-joules-per-second bulb." The naming also followed a 19th-century tradition of honoring scientists with SI units — volt, ampere, ohm, and watt all came from this era.
What wattage does a human body produce?
A resting adult generates about 80–100 W of thermal power, roughly equivalent to an old incandescent light bulb. During intense exercise this spikes to 300–500 W total metabolic output, though only 20–25% becomes mechanical work — the rest is waste heat. This is why a packed lecture hall gets stuffy fast: 200 students produce about 20 kW of heat, equivalent to running 20 space heaters.
How many watts is a lightning bolt?
A single lightning stroke delivers about 1–5 billion watts (1–5 GW) of instantaneous power, but only for 1–2 milliseconds. The total energy per bolt is surprisingly modest — roughly 1–5 billion joules compressed into microseconds, equivalent to about 250 kWh or one month of a US household. You could theoretically power a town for a second, but capturing it is impractical because the pulse is too brief and unpredictable.
What is the difference between watts and watt-hours?
Watts measure the rate of energy flow (like the speed of water through a pipe), while watt-hours measure total energy consumed over time (like the total volume of water). A 100 W bulb running for 10 hours uses 1,000 Wh (1 kWh). Your electricity bill charges per kWh, not per watt — so a 2,000 W heater running one hour costs the same as a 100 W lamp running 20 hours.