# How do we calculate horse power

## Convert kW to PS

Horsepower (PS) is the most common unit in much of the world to quantify the power of automotive engines. And that although that (actually would be *the* correct) PS is neither a standard quantity in the metric nor in the empirical system. The official unit kilowatt (kW) has only very sporadically established itself in common parlance, for example in Australia.

### Where does the name PS come from?

One horsepower actually corresponds roughly to the continuous output of a horse (although the maximum output of these animals that can be called up for a short period of time clearly exceeds one horsepower); it is defined as the output that is necessary to lift a mass of 75 kg by one meter within one second. Incidentally, it is said that this unit is a by-product of the pricing of the blessed James Watt. He made the price of his steam engines dependent on the number of horses replaced by the pounding monsters.

### Formula for calculating PS (power)

Mass × acceleration due to gravity × lifting speed = **power**

### Example for calculating PS

- 75 kg × 9.81 m / s² × 1 m / s = 736 watts = 0.74 kW = 1 hp

### How do you calculate kW in PS?

- This also results in the well-known 1.36 as a conversion factor between kW and PS.

### Formula: kW in PS

**1 kW** = 1.36 hp

### Formula: PS in kW

**1 hp** = 0.74 kW

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