Ton of Refrigeration (TR) to Horsepower (mechanical) Converter
Power · unit-converter
Convert Ton of Refrigeration (TR) to Horsepower (mechanical) 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: Ton of Refrigeration (TR) (tr)
To: Horsepower (mechanical) (hp)
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.
About Horsepower (mechanical)
Mechanical horsepower here is the US definition: 550 ft·lbf/s ≈ 745.70 W. Automotive and industrial specs often cite hp.
How to convert tons of refrigeration (tr) to horsepower (mechanical, 550 ft·lb/s)
1 ton of refrigeration (tr) is equal to 4.71617734706645 horsepower (mechanical) when both are expressed in watt-equivalents:
1 tr = (3,516.8528420666667 W ÷ 745.6998715822702 W) hp = 4.71617734706645 hp
Each ton of refrigeration (tr) is defined as 3,516.8528420666667 W and each horsepower (mechanical) as 745.6998715822702 W in this tool, so one tr equals 3,516.8528420666667 ÷ 745.6998715822702 hp = 4.71617734706645 hp.
Let d(tr) be the numeric value in Ton of Refrigeration (TR) (tr), and d(hp) the value in Horsepower (mechanical) (hp). Then:
d(hp) = d(tr) × (3,516.8528420666667 / 745.6998715822702)
Equivalently, divide by how many tr fit into one hp (watts per hp divided by watts per tr):
d(hp) = d(tr) ÷ 0.21203613147034
Or: horsepower (mechanical) = ton of refrigeration (tr) ÷ 0.21203613147034
Examples
Example #1: Convert 1 tr to horsepower (mechanical)
1 tr = 1 tr × (3,516.8528420666667/745.6998715822702) hp = 4.7161773471 hp
1 tr = 1 tr ÷ 0.21203613147034 = 4.7161773471 hp
Intermediate watts: 3,516.85284207 W
Example #2: Convert 10 tr to horsepower (mechanical)
10 tr = 10 tr × (3,516.8528420666667/745.6998715822702) hp = 47.1617734707 hp
10 tr = 10 tr ÷ 0.21203613147034 = 47.1617734707 hp
Intermediate watts: 35,168.5284207 W
Summary
To convert Ton of Refrigeration (TR) to Horsepower (mechanical), multiply the value in tr by the ratio of watts per tr divided by watts per hp. Equivalently: value_hp = value_tr × (3516.8528420666667 / 745.6998715822702). Numerically, 1 tr equals 4.716177347066454 hp.
Relationship context
You are converting between apparent power at unity PF (VA) (Tons of Refrigeration (TR)) and mechanical power (horsepower, ft·lb/s) (Horsepower (mechanical, 550 ft·lb/s)). All linear values are mapped through watts first. The numeric factor is 4.716177e+0.
Conversion tables
| Ton of Refrigeration (TR) (tr) | Horsepower (mechanical) (hp) |
|---|---|
| 0.1 | 0.4716177347 |
| 1 | 4.7161773471 |
| 2 | 9.4323546941 |
| 3 | 14.1485320412 |
| 4 | 18.8647093883 |
| 5 | 23.5808867353 |
| 6 | 28.2970640824 |
| 7 | 33.0132414295 |
| 8 | 37.7294187765 |
| 9 | 42.4455961236 |
| Ton of Refrigeration (TR) (tr) | Horsepower (mechanical) (hp) |
|---|---|
| 10 | 47.1617734707 |
| 20 | 94.3235469413 |
| 30 | 141.485320412 |
| 40 | 188.647093883 |
| 50 | 235.808867353 |
| 60 | 282.970640824 |
| 70 | 330.132414295 |
| 80 | 377.294187765 |
| 90 | 424.455961236 |
| 100 | 471.617734707 |