Calories (th)/hour to Horsepower (Water)
cal(th)/h
hp
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 cal(th)/h (Calories (th)/hour) → 0.00000155784884010983 hp (Horsepower (Water)) Just now |
Quick Reference Table (Calories (th)/hour to Horsepower (Water))
| Calories (th)/hour (cal(th)/h) | Horsepower (Water) (hp) |
|---|---|
| 1,000 | 0.00155784884010983281 |
| 10,000 | 0.01557848840109832811 |
| 100,000 | 0.15578488401098328112 |
| 300,000 | 0.46735465203294984337 |
| 860,000 | 1.33975000249445621767 |
| 3,600,000 | 5.60825582439539812048 |
About Calories (th)/hour (cal(th)/h)
Calories (thermochemical) per hour (cal(th)/h) equals approximately 0.001162 watts. It is the caloric equivalent of a very low power rate, used in slow-process calorimetry, ecological energy budgets, and some older European thermal engineering texts. One watt equals approximately 860 cal(th)/h. The unit is convenient when energy budgets are counted in small-calorie increments over long periods, as in some metabolic and ecological measurements.
A resting adult radiates about 300,000 cal(th)/h (~348 W) of body heat. A small candle flame releases roughly 36,000,000 cal(th)/h (~41.8 W).
About Horsepower (Water) (hp)
Water horsepower (hp(W)) equals 746.043 watts and is used specifically in pump engineering to express the hydraulic power delivered to a fluid, as distinct from the shaft power input to the pump. It accounts for the fact that a pump's mechanical input power always exceeds the hydraulic power delivered due to efficiency losses. Pump efficiency is calculated as water hp divided by input shaft hp. The difference between water hp and electric/mechanical hp is negligible (0.05%) for most calculations.
A pump delivering 100 gallons per minute at 50 feet of head produces approximately 1.26 water hp of hydraulic power. A pump rated at 2 shaft hp may deliver 1.6 water hp at 80% efficiency.
Calories (th)/hour – Frequently Asked Questions
How are calories per hour used in ecological energy budgets?
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.
What is the difference between cal/h and kcal/h in practice?
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).
How many cal/h does a hibernating bear produce?
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.
How does cal/h relate to the old European thermal unit system?
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.
What very slow processes are best described in cal/h?
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.
Horsepower (Water) – Frequently Asked Questions
How do you calculate water horsepower for a pump?
Water HP = (Flow in GPM × Total Head in feet) / 3,960. The magic number 3,960 comes from the weight of water (8.33 lb/gal) × 33,000 ft·lbf/min per hp ÷ 8.33 × the appropriate conversions. For example: 200 GPM at 80 feet of head = 200 × 80 / 3,960 = 4.04 water hp. If the pump is 75% efficient, you need 4.04 / 0.75 = 5.39 shaft hp, so you'd select a 7.5 hp motor (next standard NEMA size up).
Why does water horsepower matter when sizing a pump motor?
Because the motor must provide shaft hp, not water hp. If your application needs 3 water hp but the pump is only 65% efficient, you need 3 / 0.65 = 4.6 shaft hp — meaning a 5 hp motor minimum. Underestimating this gap leads to overloaded motors, overheating, and premature failure. Pump efficiency varies from 30% (tiny pumps) to 90% (large, well-designed centrifugal pumps), so the water-hp-to-shaft-hp gap ranges from 10% to 70%.
How does water horsepower differ from brake horsepower in pumps?
Water hp is the useful hydraulic output — the power actually delivered to the fluid as pressure and flow. Brake hp (bhp) is the shaft input power measured at the coupling. The ratio is pump efficiency: η = WHP / BHP. A pump rated at 10 bhp with 80% efficiency delivers 8 water hp; the other 2 hp is lost to friction, turbulence, and heat in the pump. When specifying pumps, you calculate the required water hp first, then divide by efficiency to find the necessary brake hp.
Is water horsepower used outside the United States?
Rarely. International pump engineering uses kilowatts for both hydraulic power and shaft power. The formula becomes: Hydraulic Power (kW) = (Flow in m³/h × Head in meters × density × g) / 3,600,000. European pump catalogs list "hydraulic efficiency" as a percentage relating input kW to output kW. The concept is identical — water hp is just the US customary wrapper around it. If you see "water horsepower" in a specification, it's almost certainly an American or Canadian document.
What pump applications require the most water horsepower?
Municipal water supply: 50–500 water hp per pump station. Oil pipeline pumping: 1,000–10,000 water hp per station. Mining dewatering: 100–5,000 water hp. Hydroelectric dam penstocks deliver thousands of water hp to turbines (in reverse — the water does the work). The largest single pump installations, like the pumps protecting New Orleans from flooding, can exceed 10,000 water hp each — moving millions of gallons per minute against levee heights.