Cooling power equal to 12,000 BTU/h.
Ton of refrigerations to Metric horsepowers Converter — TR to PS
Convert Ton of refrigeration (TR) to Metric horsepower (PS) using the exact conversion factor (1 ton of refrigeration = 4.781589149 metric horsepower). See the formula, worked examples, conversion table, history, and common uses.
Ton of refrigerations to Metric horsepowers converter
Converter
Engineering Converter
Convert common stress, force, torque, power, and energy units used in engineering.
Context values
Some unit families need one extra value for a physically accurate result.
Metric horsepower.
Result = input x 3516.852842 / 735.49875.
Power units are compatible.
Reserved above the conversion cards and below the converter.
About Converting Ton of refrigerations to Metric horsepowers
Ton of refrigeration and Metric horsepower both measure a quantity used in structural or mechanical engineering — commonly stress, pressure, force, torque, power, or energy — where converting between the unit conventions used in different regions, industries, or equipment specifications is a routine part of design work. Specifically: Cooling power equal to 12,000 BTU/h, and metric horsepower.
Formula
metric horsepowers = ton of refrigerations × 4.78158914895
This factor comes from each unit's defined relationship to the category's base unit: 1 ton of refrigeration equals 3516.85284207 base units, and 1 metric horsepower equals 735.49875 base units, so dividing one by the other gives the direct ton of refrigeration-to-metric horsepower factor of 4.78158914895.
Simple example
1 TR × 4.781589149 = 4.781589149 PS
1 ton of refrigeration = 4.781589149 metric horsepowers.
Real-world example
100 TR × 4.781589149 = 478.1589149 PS
100 ton of refrigerations = 478.1589149 metric horsepowers.
Conversion table
| Ton of refrigeration (TR) | Metric horsepower (PS) |
|---|---|
| 1 TR | 4.781589149 PS |
| 10 TR | 47.81589149 PS |
| 50 TR | 239.0794574 PS |
| 100 TR | 478.1589149 PS |
| 500 TR | 2,390.794574 PS |
| 1,000 TR | 4,781.589149 PS |
Reverse conversion: Metric horsepower to Ton of refrigeration
4.781589149 PS × 0.2091354922 = 1 TR
4.781589149 metric horsepowers = 1 ton of refrigerations.
ton of refrigerations = metric horsepowers × 0.209135492166
For a page dedicated to this direction, see Metric horsepower to Ton of refrigeration.
Understanding the Ton of refrigeration (TR)
Cooling power equal to 12,000 BTU/h.
Understanding the Metric horsepower
Metric horsepower (PS) measures power. Metric horsepower (PS/CV) is defined as exactly 735.49875 watts, the power to raise 75 kilograms one meter per second. It is classified as a Non-SI unit (metric, automotive).
Where it's used: Continental Europe, Japan, and other metric-system automotive markets
Uses of the Metric horsepower today
- European and Japanese vehicle engine power ratings (often shown as PS or CV)
- Motor and machinery power specifications in metric countries
History of the Metric horsepower
Metric horsepower emerged in continental Europe in the 19th century as engineers sought a metric-system analog to Watt's English horsepower, defining it via a round figure (75 kgf·m/s) convenient in metric calculations. It remains the standard automotive power unit across much of Europe and Asia, labeled PS (German 'Pferdestärke') or CV (French/Italian 'cheval-vapeur').
Historical origin. Metric horsepower was not the invention of a single named person; it developed through the process described above.
Metric horsepower — sources
- NIST Special Publication 811 — Documents the exact watt-equivalence of metric horsepower.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many metric horsepowers are in 1 ton of refrigeration?
1 ton of refrigeration equals 4.781589149 metric horsepowers, using the exact defined conversion factor rather than an estimate.
How do I convert ton of refrigeration to metric horsepower?
Multiply the ton of refrigeration value by 4.781589149. The converter above does this instantly to whatever precision you set.
How do I convert metric horsepower back to ton of refrigeration?
Use the reverse factor: 1 metric horsepower equals 0.2091354922 ton of refrigerations. You can also use the swap control in the converter above to flip the direction instantly.
What is a ton of refrigeration?
Ton of refrigeration (TR) is a unit of engineering.
What is a metric horsepower?
Metric horsepower (PS) measures power. Metric horsepower (PS/CV) is defined as exactly 735.49875 watts, the power to raise 75 kilograms one meter per second. It is classified as a Non-SI unit (metric, automotive).
Is the ton of refrigeration to metric horsepower conversion exact?
Yes. Metric horsepower (PS/CV) is defined as exactly 735.49875 watts, the power to raise 75 kilograms one meter per second. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.
Why do engineering unit conventions vary so much by region and industry?
Pressure, force, and stress can be expressed in metric (pascal, newton), US customary (psi, pound-force), or older and industry-specific units (atmosphere, torr, kip) depending on the country, industry, and even the equipment manufacturer, which is why engineers routinely need to convert between them when working across specs from different sources.