Foot-pound per Second to Ton of Refrigeration (TR) Converter
Power · unit-converter
Convert Foot-pound per Second to Ton of Refrigeration (TR) with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: Foot-pound per Second (ft_lb_s)
To: Ton of Refrigeration (TR) (tr)
About Foot-pound per Second
Foot-pounds per second is a mechanical power rate: 1 ft·lb/s = 1.3558179483314004 W (exactly, from the international foot definition).
About Ton of Refrigeration (TR)
One ton of refrigeration (TR) equals 12,000 BTU/h (IT), approximately 3,516.85 W. It is widely used in HVAC and refrigeration sizing.
How to convert foot-pounds per second to tons of refrigeration (tr)
1 foot-pound per second is equal to 0.00038552023904 ton of refrigeration (tr) when both are expressed in watt-equivalents:
1 ft_lb_s = (1.3558179483314003 W ÷ 3,516.8528420666667 W) tr = 0.00038552023904 tr
Each foot-pound per second is defined as 1.3558179483314003 W and each ton of refrigeration (tr) as 3,516.8528420666667 W in this tool, so one ft_lb_s equals 1.3558179483314003 ÷ 3,516.8528420666667 tr = 0.00038552023904 tr.
Let d(ft_lb_s) be the numeric value in Foot-pound per Second (ft_lb_s), and d(tr) the value in Ton of Refrigeration (TR) (tr). Then:
d(tr) = d(ft_lb_s) × (1.3558179483314003 / 3,516.8528420666667)
Equivalently, divide by how many ft_lb_s fit into one tr (watts per tr divided by watts per ft_lb_s):
d(tr) = d(ft_lb_s) ÷ 2593.8975408865499
Or: ton of refrigeration (tr) = foot-pound per second ÷ 2593.8975408865499
Examples
Example #1: Convert 1 ft_lb_s to ton of refrigeration (tr)
1 ft_lb_s = 1 ft_lb_s × (1.3558179483314003/3,516.8528420666667) tr = 0.0003855202 tr
1 ft_lb_s = 1 ft_lb_s ÷ 2593.8975408865499 = 0.0003855202 tr
Intermediate watts: 1.3558179483 W
Example #2: Convert 10 ft_lb_s to ton of refrigeration (tr)
10 ft_lb_s = 10 ft_lb_s × (1.3558179483314003/3,516.8528420666667) tr = 0.0038552024 tr
10 ft_lb_s = 10 ft_lb_s ÷ 2593.8975408865499 = 0.0038552024 tr
Intermediate watts: 13.5581794833 W
Summary
To convert Foot-pound per Second to Ton of Refrigeration (TR), multiply the value in ft_lb_s by the ratio of watts per ft_lb_s divided by watts per tr. Equivalently: value_tr = value_ft_lb_s × (1.3558179483314003 / 3516.8528420666667). Numerically, 1 ft_lb_s equals 0.00038552023903697336 tr.
Relationship context
You are converting between mechanical power (horsepower, ft·lb/s) (Foot-pounds per Second) and apparent power at unity PF (VA) (Tons of Refrigeration (TR)). All linear values are mapped through watts first. The numeric factor is 3.855202e-4.
Conversion tables
| Foot-pound per Second (ft_lb_s) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 0.1 | 0.000038552 |
| 1 | 0.0003855202 |
| 2 | 0.0007710405 |
| 3 | 0.0011565607 |
| 4 | 0.001542081 |
| 5 | 0.0019276012 |
| 6 | 0.0023131214 |
| 7 | 0.0026986417 |
| 8 | 0.0030841619 |
| 9 | 0.0034696822 |
| Foot-pound per Second (ft_lb_s) | Ton of Refrigeration (TR) (tr) |
|---|---|
| 10 | 0.0038552024 |
| 20 | 0.0077104048 |
| 30 | 0.0115656072 |
| 40 | 0.0154208096 |
| 50 | 0.019276012 |
| 60 | 0.0231312143 |
| 70 | 0.0269864167 |
| 80 | 0.0308416191 |
| 90 | 0.0346968215 |
| 100 | 0.0385520239 |