Ton of Refrigeration (TR) to Metric Horsepower (PS/CV) Converter
Power · unit-converter
Convert Ton of Refrigeration (TR) to Metric Horsepower (PS/CV) 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: Metric Horsepower (PS/CV) (ps)
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 Metric Horsepower (PS/CV)
PS is metric horsepower (also called Pferdestarke), defined as 735.49875 W. It appears widely in EU and Korean vehicle specs.
How to convert tons of refrigeration (tr) to metric horsepower (ps/cv)
1 ton of refrigeration (tr) is equal to 4.78158914895051 metric horsepower (ps/cv) when both are expressed in watt-equivalents:
1 tr = (3,516.8528420666667 W ÷ 735.49875 W) ps = 4.78158914895051 ps
Each ton of refrigeration (tr) is defined as 3,516.8528420666667 W and each metric horsepower (ps/cv) as 735.49875 W in this tool, so one tr equals 3,516.8528420666667 ÷ 735.49875 ps = 4.78158914895051 ps.
Let d(tr) be the numeric value in Ton of Refrigeration (TR) (tr), and d(ps) the value in Metric Horsepower (PS/CV) (ps). Then:
d(ps) = d(tr) × (3,516.8528420666667 / 735.49875)
Equivalently, divide by how many tr fit into one ps (watts per ps divided by watts per tr):
d(ps) = d(tr) ÷ 0.20913549216571
Or: metric horsepower (ps/cv) = ton of refrigeration (tr) ÷ 0.20913549216571
Examples
Example #1: Convert 1 tr to metric horsepower (ps/cv)
1 tr = 1 tr × (3,516.8528420666667/735.49875) ps = 4.781589149 ps
1 tr = 1 tr ÷ 0.20913549216571 = 4.781589149 ps
Intermediate watts: 3,516.85284207 W
Example #2: Convert 10 tr to metric horsepower (ps/cv)
10 tr = 10 tr × (3,516.8528420666667/735.49875) ps = 47.8158914895 ps
10 tr = 10 tr ÷ 0.20913549216571 = 47.8158914895 ps
Intermediate watts: 35,168.5284207 W
Summary
To convert Ton of Refrigeration (TR) to Metric Horsepower (PS/CV), multiply the value in tr by the ratio of watts per tr divided by watts per ps. Equivalently: value_ps = value_tr × (3516.8528420666667 / 735.49875). Numerically, 1 tr equals 4.781589148950514 ps.
Relationship context
You are converting between apparent power at unity PF (VA) (Tons of Refrigeration (TR)) and mechanical power (horsepower, ft·lb/s) (Metric Horsepower (PS/CV)). All linear values are mapped through watts first. The numeric factor is 4.781589e+0.
Conversion tables
| Ton of Refrigeration (TR) (tr) | Metric Horsepower (PS/CV) (ps) |
|---|---|
| 0.1 | 0.4781589149 |
| 1 | 4.781589149 |
| 2 | 9.5631782979 |
| 3 | 14.3447674469 |
| 4 | 19.1263565958 |
| 5 | 23.9079457448 |
| 6 | 28.6895348937 |
| 7 | 33.4711240427 |
| 8 | 38.2527131916 |
| 9 | 43.0343023406 |
| Ton of Refrigeration (TR) (tr) | Metric Horsepower (PS/CV) (ps) |
|---|---|
| 10 | 47.8158914895 |
| 20 | 95.631782979 |
| 30 | 143.447674469 |
| 40 | 191.263565958 |
| 50 | 239.079457448 |
| 60 | 286.895348937 |
| 70 | 334.711240427 |
| 80 | 382.527131916 |
| 90 | 430.343023406 |
| 100 | 478.158914895 |