Joules/hour to Horsepower (Water)
J/h
hp
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 J/h (Joules/hour) → 3.7233480882171e-7 hp (Horsepower (Water)) Just now |
Quick Reference Table (Joules/hour to Horsepower (Water))
| Joules/hour (J/h) | Horsepower (Water) (hp) |
|---|---|
| 3,600 | 0.00134040531175817051 |
| 36,000 | 0.01340405311758170508 |
| 360,000 | 0.13404053117581705076 |
| 3,600,000 | 1.3404053117581705076 |
| 10,000,000 | 3.72334808821714029888 |
| 36,000,000 | 13.40405311758170507598 |
About Joules/hour (J/h)
Joules per hour (J/h) is a very low power unit, equivalent to approximately 0.000278 watts. It is used in precision calorimetry, passive building heat loss calculations, and biological heat flux measurements where the energy exchange over hours is more meaningful than per-second rates. One watt equals 3,600 J/h. The unit is occasionally seen in nutrition science and environmental physiology, where energy budgets are tracked over hours.
A sleeping mouse dissipates roughly 720,000 J/h (~200 W/kg) due to its high surface-area-to-volume ratio. A well-insulated house loses about 36,000,000 J/h (10 kW) on a cold winter day.
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.
Joules/hour – Frequently Asked Questions
Why use joules per hour instead of just watts?
When you're tracking energy budgets over hours — passive house heat loss, slow battery self-discharge, biological calorimetry — expressing rates in J/h matches the timescale of your measurements. A passive house losing 36 MJ/h is more intuitive to a building physicist than "10 kW" because they're calculating daily heat budgets in megajoules. It's a unit of convenience, not necessity.
How does joules per hour relate to kilowatt-hours?
One kWh = 3,600,000 J, so 3,600,000 J/h = 1 kW. The relationship is elegantly circular: if you consume 3.6 MJ/h of power, you use exactly 1 kWh of energy each hour. This makes J/h a natural bridge unit between the SI energy world (joules) and the practical electricity billing world (kWh). Multiply J/h by hours and you get joules of total energy; divide by 3,600,000 and you get kWh.
What is the heat loss of a well-insulated building in joules per hour?
A Passivhaus-certified building targets heat loss below 54 MJ/h (15 W/m² × 1,000 m² for a typical house). A standard older home might lose 180–360 MJ/h (50–100 kW) on a cold day. The difference is dramatic: triple glazing, 300mm insulation, and air-tightness can reduce heat loss by 80%. Building energy certificates in some countries express this in kWh/m²/year, but the underlying calculation uses J/h or W.
How many joules per hour does a human radiate while sleeping?
About 230,000–290,000 J/h (65–80 W). This drops from your waking basal rate of ~290,000–360,000 J/h (80–100 W) because metabolic rate falls 10–15% during sleep. The heat warms your bed and room measurably — two people sleeping together can raise bedroom temperature by 1–2°C overnight in a small, well-insulated room. It's why you wake up warm even without the heating on.
Is J/h used in any standards or building codes?
Not directly — most building codes use watts per square meter (W/m²) or kWh/m²/year for energy performance ratings. However, the underlying heat transfer calculations in standards like ISO 13790 effectively compute in J/h when assessing hourly energy balances. Some German and Swiss engineering tools output intermediate results in kJ/h or MJ/h. The unit lives in the calculation layer, even if the final certificate uses more familiar units.
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.