Watts to Horsepower: How to Convert
- Metric horsepower
- hp(M)
- Result
- Power
- 1500 W
- You entered
One mechanical horsepower equals 745.7 watts, so to convert watts to horsepower, divide the watt value by 745.7. For example, a 1,500-watt motor is approximately 2.01 horsepower (1500 ÷ 745.7). This calculator performs that conversion instantly: enter a power value in watts, and it returns the equivalent in mechanical horsepower, along with the metric horsepower value for comparison.
Formula
The conversion uses the internationally accepted definition of mechanical horsepower (also called imperial horsepower):
Horsepower (hp) = Power (watts) ÷ 745.7
Where:
- Power (watts) – the electrical or mechanical power input, measured in watts (W).
- Horsepower (hp) – the output power, measured in mechanical horsepower (hp).
- 745.7 – the exact number of watts in one mechanical horsepower (745.699872 W to be precise).
There is also a metric horsepower unit (often used in Europe and Asia) defined as 735.5 watts. The calculator shows both values so you can use whichever standard your application requires.
Worked Example
Using the default input of 1,500 watts:
- Mechanical horsepower: 1500 ÷ 745.7 = 2.0115 → rounded to 2.01 hp
- Metric horsepower: 1500 ÷ 735.5 = 2.0394 → rounded to 2.04 hp(M)
The calculator’s first output (the headline answer) is 2.01 hp, which matches the manual calculation.
Why Are There Different Horsepower Units?
Horsepower was originally defined by James Watt in the 18th century to compare the output of steam engines with that of draft horses. He estimated that a horse could lift 33,000 pound-feet per minute, which equals 745.7 watts. That definition became the mechanical horsepower used in the United States and the United Kingdom.
Later, the metric system introduced its own horsepower (sometimes called PS or cv) based on the force needed to lift 75 kilograms one meter in one second, which is 735.5 watts. This is why you’ll see two different values when converting watts to horsepower – they represent different standards.
For most practical purposes, especially when dealing with electric motors and appliances, the mechanical horsepower is the standard used in North America. The metric horsepower is more common in Europe and Japan.
How to Read the Result
The result tells you how much mechanical power a device delivers. For example, a 1,500-watt electric motor rated at 2.01 hp can do the work of about two horses. This is useful when comparing electric motors with gasoline engines, which are often rated in horsepower.
Keep in mind that the watt rating on an appliance is usually the input power (electrical power consumed), while the horsepower rating of an engine is the output power (mechanical work delivered). The difference is due to efficiency losses. For instance, a 1,500-watt electric motor might only deliver 1.8 hp of actual mechanical output because some energy is lost as heat and friction.
Common Mistakes and Misconceptions
- Using the wrong horsepower definition: Always check whether you need mechanical (745.7 W) or metric (735.5 W) horsepower. Using the wrong factor introduces about a 1.4% error.
- Confusing input and output power: As mentioned, watts on an appliance label is usually input power, not output. If you need output horsepower, you must multiply the input watts by the motor’s efficiency (typically 0.8–0.95).
- Forgetting to convert kilowatts: Many devices list power in kilowatts (kW). Remember that 1 kW = 1,000 W, so multiply by 1,000 before dividing by 745.7.
- Rounding too early: Use the exact conversion factor (745.699872) for precise results. Rounding to 746 may cause small errors in large numbers.
When to Use This Conversion
You’ll need this conversion in several everyday situations:
- Comparing electric motors and engines: If you’re deciding between an electric lawn mower (rated in watts) and a gas one (rated in hp), this conversion helps you compare power.
- Understanding appliance power: Some appliances like air conditioners or pumps are rated in watts, but you may want to know their horsepower equivalent for sizing purposes.
- Automotive and machinery specifications: Electric vehicles and some industrial equipment list power in kilowatts, but many people think in horsepower.
- Educational purposes: Students and hobbyists often need to convert between units when working on physics or engineering projects.
Limitations of the Conversion
This conversion is purely mathematical – it changes the unit of measurement but does not account for real-world efficiency. A 2 hp electric motor does not necessarily produce the same usable work as a 2 hp gasoline engine because they have different efficiency curves and torque characteristics. Also, the watt rating on many devices is the maximum power, not the continuous operating power. For example, a vacuum cleaner might draw 1,500 watts at peak but only 800 watts during normal use.
Additionally, some countries use different definitions of horsepower for tax or regulatory purposes. Always verify which standard your application requires.
Frequently Asked Questions
How many watts are in one horsepower?
One mechanical horsepower equals exactly 745.699872 watts. For quick mental math, you can use 746 watts. Metric horsepower is slightly different at 735.5 watts.
Is 1 hp equal to 746 watts or 745.7 watts?
The exact value is 745.699872 watts, which is usually rounded to 745.7 or 746. The difference is negligible for most purposes, but for precise engineering calculations, use 745.699872.
How do I convert kilowatts to horsepower?
First convert kilowatts to watts by multiplying by 1,000, then divide by 745.7. For example, 2 kW = 2000 W ÷ 745.7 = 2.68 hp. Alternatively, you can multiply kilowatts by 1.341 to get horsepower directly.
Why do electric motors list watts instead of horsepower?
Electric motors are often rated in watts because it directly reflects the electrical power they consume. However, many manufacturers also list horsepower for consumer convenience. The watt rating is more precise for electrical calculations.
Is horsepower the same as brake horsepower (bhp)?
Brake horsepower (bhp) is the power measured at the engine’s output shaft without losses from the gearbox or other components. It is essentially the same as mechanical horsepower, so the conversion factor is the same. However, some manufacturers use different measurement standards, so always check the context.
Can I convert watts to horsepower for any type of engine?
Yes, the conversion is unit-based and works for any power source – electric motors, gasoline engines, steam turbines, etc. However, it only converts the unit, not the actual performance. The efficiency and torque characteristics of different engines vary, so equal horsepower doesn’t mean equal real-world performance.
Related
Formula used
in watts | Power | W | 1500 | 0 out hp_mech | Mechanical horsepower | hp | watts / 745.699872 | 2 out hp_metric | Metric horsepower | hp(M) | watts / 735.49875 | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.