Power Converter

Convert between watts, kilowatts, mechanical and metric horsepower, and BTU per hour.

How to use this calculator

  1. 1Enter the value you want to convert.
  2. 2Pick the unit you are converting from and the one you want.
  3. 3The table below shows the same value in every other supported unit.

How the calculation works

result = (value × factor(from) ) / factor(to)
factor
How many watts one unit represents

Every value is converted to watts first, then out to the target unit. This means n units need n factors rather than n² conversion pairs.

Power is energy per unit time — one watt is one joule per second. This is why a power unit can never be converted into an energy unit: they measure different things.

There are two common horsepower definitions and they are not equal. Mechanical (imperial) horsepower is exactly 550 foot-pounds per second, about 745.70 W. Metric horsepower (PS, cheval-vapeur) is 75 kgf·m/s, exactly 735.49875 W. European car specifications usually quote PS, which makes the same engine appear about 1.4% more powerful than its mechanical-hp figure.

Worked example

150 horsepower (mechanical) to kilowatt

  1. 1.One horsepower (mechanical) is 745.69987 watts, so 150 hp is 111,854.98 watts.
  2. 2.One kilowatt is 1,000 watts, so divide: 111,854.98 ÷ 1,000 = 111.85498.
  3. 3.Put another way, 1 hp = 0.7456999 kW.

Result: 111.85498 kW

Power is a rate, not an amount

The single most common confusion in this area is between power and energy. Power is how fast energy is being converted or transferred; energy is the total converted over some span of time. A 2,000 W kettle draws energy at a fixed rate whether you run it for one second or ten minutes — what changes is the energy consumed, not the power. The relationship is simply energy = power × time, which is why the electricity meter measures kilowatt-hours (a power multiplied by a duration) rather than kilowatts.

Two horsepowers, one name

Horsepower is unusual in having two widely used definitions that differ by enough to matter commercially. James Watt coined the original unit in the 18th century to market steam engines against the draught horses they replaced, settling on 550 foot-pounds per second — what is now called mechanical or imperial horsepower, about 745.7 watts. Continental Europe later defined its own metric horsepower as 75 kilogram-force metres per second, which works out to exactly 735.49875 watts.

The result is that the same engine can be legitimately advertised as 150 hp or 152 PS depending on which side of the definition the brochure was written on. Neither figure is wrong, but comparing a PS figure against an hp figure without converting overstates the second engine by about 1.4%.

Why heating and cooling use their own units

Heating and air-conditioning equipment is usually rated in BTU per hour rather than watts, and air conditioners are often described in "tons" — a unit with nothing to do with the appliance's weight. One ton of refrigeration is the rate of cooling that would freeze one short ton of water in 24 hours, standardised as exactly 12,000 BTU per hour, or about 3.52 kW. The unit survives from the era when cooling was actually delivered by melting ice, and stuck because the industry's equipment sizing, ducting standards and rules of thumb were all built around it.

What this assumes, and where it stops

Assumptions

  • Conversion factors follow the internationally agreed definitions of each unit.

Limitations

  • Air-conditioning "tons" refer to a rate of cooling, not a weight — one ton of refrigeration is the rate needed to freeze one short ton of water in 24 hours, defined here as exactly 12,000 BTU/h.

Common questions

Why do hp and PS figures differ for the same car?

They are two different units that share a name. Mechanical horsepower (used in the US and UK) is 550 foot-pounds per second; metric horsepower, written PS, is 75 kgf·m/s and is about 1.4% smaller. A 150 hp engine is about 152 PS — the engine did not change, only the unit.

Can I convert kilowatts to kilowatt-hours?

Not directly — they measure different quantities. A kilowatt is a rate of energy use; a kilowatt-hour is a quantity of energy. To get from one to the other you need a duration: running 2 kW for 3 hours uses 6 kWh. Use the energy converter for kilowatt-hours.

Formula and content last reviewed on .

Results are estimates for information only, not professional advice.

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