Converters & UnitsExact factors

Power Converter

There are two horsepowers in common use and they differ by about 1.4%. European brochures quote metric horsepower (PS); American ones quote mechanical horsepower. Both are listed separately here.

Power to Convert

Metric horsepower (PS) and mechanical horsepower are not the same unit.

CONVERTED VALUE

All units

The same quantity expressed every other way.

Exact: 1 hp = 745.69987158227022 W · 1 PS = 735.49875 W · 1 TR = 12 000 BTU/h ≈ 3.5169 kW.

Two different horsepowers

Mechanical horsepower — the one used in the US and UK — is defined as 550 foot-pounds per second, which works out to 745.6999 watts. Metric horsepower, written PS in German, CV in French and Italian, is the power to lift 75 kilograms one metre per second: exactly 735.49875 watts. That is a 1.4% difference, which is why the same car is advertised as 197 hp in one market and 200 PS in another. It is the same engine.

James Watt derived the original figure from what a brewery horse could sustain, deliberately pitching it high so his steam engines would look conservative by comparison. Every horsepower figure quoted since traces back to that marketing decision.

Air conditioners and the refrigeration ton

One ton of refrigeration is the cooling rate needed to freeze one short ton of water in 24 hours: 12,000 BTU/h, or about 3.517 kW. It is a nineteenth-century unit from the days when cooling was sold as delivered ice, and it is still how commercial HVAC capacity is specified. A “3-ton” home system is a 10.5 kW cooling unit, not something that weighs three tons.

Power versus energy, stated plainly

Power is the rate; energy is the total. A 2 kW kettle draws 2 kW the whole time it is on, but uses 0.033 kWh if it runs for a minute. Appliance labels mix the two constantly — a washing machine is rated in watts but its annual running cost is in kWh — so always check whether a figure has a time unit attached.

Frequently Asked Questions

How many kW is 150 hp?
About 111.9 kW using mechanical horsepower (745.7 W each), or 110.3 kW if the figure was actually metric horsepower (PS). The two differ by roughly 1.4%.
What is the difference between hp and PS?
Mechanical horsepower is 550 ft·lb/s = 745.6999 W. Metric horsepower (PS or CV) is 735.49875 W. European manufacturers quote PS, so the same car shows slightly different numbers in different markets.
What does a "3-ton" air conditioner mean?
A cooling capacity of 36,000 BTU/h, about 10.5 kW. The unit comes from the rate of cooling once supplied by melting three short tons of ice per day.
Is a watt power or energy?
Power — energy per unit time. One watt is one joule per second. Energy is watts multiplied by time, which is what a kilowatt-hour measures.
Where these numbers come from

Sources

Official publications only. Links open the original document in a new tab.