Calories (th)/hour to Foot pounds-force second

Ecologists track energy flow through ecosystems: sunlight → plants → herbivores → predators. Each link is quantified in cal/h or kcal/h per square meter. A temperate forest floor receives roughly 500,000 cal/h/m² of sunlight; plants capture 1–2% as biomass. A field mouse consumes about 3,000–5,000 cal/h in food energy. Expressing everything in cal/h makes the efficiency losses at each trophic level immediately visible.

A factor of 1,000. Since 1 kcal = 1,000 cal, 5,000 cal/h = 5 kcal/h. Nutrition and exercise science almost always use kcal/h (the "food Calorie" per hour), while laboratory calorimetry might use cal/h for precision measurements. The confusion between small and large calories has caused countless errors in student lab reports. When reading older literature, always check whether "calorie" means the thermochemical calorie (4.184 J) or the kilocalorie (4,184 J).

A hibernating black bear's metabolic rate drops to about 15,000–25,000 cal/h (roughly 17–29 W) — only about 25% of its active resting rate. Its body temperature drops just 5–6°C (unlike true hibernators that cool near freezing), and heart rate falls from 40–50 to 8–10 beats per minute. The bear burns about 4,000 kcal/day entirely from fat reserves, losing 15–30% of body weight over 5–7 months of hibernation.

In pre-SI European engineering, heating systems were often rated in kcal/h. A standard European radiator might be rated at 1,000 kcal/h (1,163 W). German and Italian heating catalogs from the mid-20th century used kcal/h exclusively. The conversion to watts was mandated by EU directives in the 1970s-80s, but older buildings across Europe still have heating system documentation in kcal/h. Italian plumbers still sometimes think in "frigorie" (negative kcal/h) for cooling.

Radioactive decay heat in spent nuclear fuel rods: a few hundred cal/h per rod years after removal. Slow corrosion reactions in sealed containers. Heat generation in composting piles (2,000–10,000 cal/h per kg of compost). Bacterial metabolism in soil samples. The continuous heat loss through a single-pane window: about 200,000 cal/h per square meter in winter. These are processes too slow for per-second measurement but too fast to ignore over hours.

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.