Ton of refrigeration to Foot pounds-force second
TR
ft·lbf/s
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 TR (Ton of refrigeration) → 2593.89754087946828979587 ft·lbf/s (Foot pounds-force second) Just now |
Quick Reference Table (Ton of refrigeration to Foot pounds-force second)
| Ton of refrigeration (TR) | Foot pounds-force second (ft·lbf/s) |
|---|---|
| 0.5 | 1,296.94877043973414489794 |
| 1 | 2,593.89754087946828979587 |
| 2 | 5,187.79508175893657959174 |
| 5 | 12,969.48770439734144897936 |
| 10 | 25,938.97540879468289795871 |
| 100 | 259,389.75408794682897958714 |
| 500 | 1,296,948.77043973414489793572 |
About Ton of refrigeration (TR)
A ton of refrigeration (TR) equals 3,516.85 watts and represents the cooling power needed to freeze one short ton (2,000 lb / 907 kg) of water at 0 °C in 24 hours. It is the standard unit for commercial and industrial air conditioning and refrigeration equipment capacity in the United States and parts of Asia. A residential central air conditioner is typically 1.5–5 TR; a commercial chiller 50–500 TR; a large industrial refrigeration plant may exceed 10,000 TR.
A 3-ton residential central air conditioner removes about 10.6 kW of heat from the building. A typical office building chiller might be rated at 200–500 TR.
Etymology: Defined in the 19th century as the cooling capacity of one ton of ice melting over 24 hours, based on the latent heat of fusion of water (144 BTU/lb). Ice was the primary industrial refrigerant before mechanical refrigeration became widespread.
About Foot pounds-force second (ft·lbf/s)
Foot pounds-force per second (ft·lbf/s) is the fundamental mechanical power unit in the US customary system, equal to approximately 1.356 watts. It is the rate of doing work when a force of one pound-force moves through one foot per second. The unit is directly related to the mechanical horsepower: one horsepower equals exactly 550 ft·lbf/s. It appears in US mechanical engineering, ballistics, and machinery design texts.
One mechanical horsepower equals 550 ft·lbf/s (~746 W). A person climbing stairs moderately expends about 200–300 ft·lbf/s of mechanical power.
Ton of refrigeration – Frequently Asked Questions
Why is air conditioning measured in "tons" if there is no ice involved?
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.
How many tons of AC does a typical office building need?
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.
Why do Middle Eastern cities need district cooling plants the size of power stations?
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.
What is the largest air conditioning system in the world in tons?
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.
How many tons of refrigeration does a grocery store need?
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%.
Foot pounds-force second – Frequently Asked Questions
Why is horsepower defined as exactly 550 ft·lbf/s?
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.
How do you calculate ft·lbf/s from torque and RPM?
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.
What everyday forces produce 1 ft·lbf/s of power?
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.
Is ft·lbf/s still used in modern American engineering?
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.
How does ft·lbf/s relate to bullet kinetic energy?
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.