Foot pounds-force second to Gigawatt

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.

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.

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.

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.

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.

1.21 GW is very real — it's about the output of a large nuclear reactor. Doc Brown needed it for the flux capacitor, but a single lightning bolt actually delivers far more instantaneous power (up to 1,000 GW) for a few microseconds. The movie got the pronunciation slightly off: Christopher Lloyd famously said "jigawatts," which is technically an acceptable older pronunciation but not the standard one.

It varies enormously. The UK peaks at about 50 GW; Germany around 80 GW; the US about 750 GW; China over 2,000 GW of installed capacity. But installed capacity and actual consumption differ: the US averages about 450 GW of actual demand. Developing nations can operate on strikingly little — some small African nations manage on under 0.5 GW for millions of people.

The Three Gorges Dam in China holds the record at 22.5 GW of installed hydroelectric capacity — enough to power a country the size of Switzerland. It has 32 main turbines each rated at 700 MW. Its annual output of ~100 TWh makes it the world's most productive power plant, though the Itaipu Dam on the Brazil-Paraguay border occasionally produces more in a given year due to higher capacity factor.

The world added roughly 420 GW of new solar capacity in 2023 alone — more than doubling the pace from just two years earlier. Total global solar capacity surpassed 1,600 GW by end of 2024. China installed over 200 GW in a single year, which is more than the entire US solar fleet accumulated over decades. At current trajectory, solar will exceed 5,000 GW globally by 2030.

A category 5 hurricane dissipates about 600,000 GW of heat energy through cloud formation alone — dwarfing human power infrastructure. A major volcanic eruption releases energy equivalent to thousands of GW sustained over hours. The Gulf Stream carries about 1.4 million GW of thermal power northward. Even a modest thunderstorm generates 10–100 GW. Nature operates on power scales that make our entire grid look like a nightlight.