Ton of refrigeration to Horsepower (Water)

Before mechanical refrigeration, buildings were literally cooled with ice. A "ton of refrigeration" was the cooling you got from melting one ton of ice per day. When compressor-based AC arrived in the early 1900s, the ice-based unit stuck because the entire industry — contractors, building codes, ductwork sizing — was built around it. Telling a building owner "you need 200 tons of cooling" was intuitive when they used to order 200 tons of ice. The unit survived because switching costs exceed inconvenience costs.

Roughly 1 ton per 400–600 sq ft of office space, depending on climate, occupancy, glazing, and internal heat loads (computers, lights, people). A 50,000 sq ft office needs 80–125 tons. Data centers are extreme: they need 1 ton per 200–300 sq ft because of server heat. A single rack of GPU servers can require 5–10 tons of cooling alone. The Trump Tower in New York has about 2,600 tons of installed cooling capacity.

When outdoor temperatures exceed 45°C for months, every building runs AC at maximum capacity simultaneously — there is no "shoulder season." Dubai alone has over 1.5 million tons of district cooling capacity. These plants chill water at a central facility and pipe it underground to hundreds of buildings, achieving 40–50% better efficiency than individual rooftop units. The Pearl-Qatar plant in Doha runs 130,000 tons — cooling an entire artificial island. Without district cooling, the electrical grid in Gulf states would need to be 30–40% larger just to handle dispersed AC compressors.

The district cooling plant at The Pearl-Qatar in Doha has about 130,000 tons of refrigeration capacity — enough to cool a small city in one of the world's hottest climates. Dubai's district cooling network exceeds 1.5 million tons total across multiple plants. For a single building, the Venetian Macao resort has roughly 16,000 tons. These megascale systems use chilled water loops distributing cooling across kilometers of underground pipes.

A typical 40,000 sq ft supermarket needs 80–150 tons: roughly 40–60 tons for the sales floor AC, and another 40–90 tons for refrigerated cases, walk-in coolers, and freezers. The frozen food aisle alone can require 20–30 tons. Open-top refrigerated cases are notoriously wasteful — they dump cold air into the store, which the AC must then remove. Modern stores with glass-doored cases can cut refrigeration load by 30–40%.

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).

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%.

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.

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.

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.