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Horsepower (metric) (PS) to Megawatts (MW) conversion

Horsepower (metric) to Megawatts conversion table

Horsepower (metric) (PS)Megawatts (MW)
00
10.00073549875
20.0014709975
30.00220649625
40.002941995
50.00367749375
60.0044129925
70.00514849125
80.00588399
90.00661948875
100.0073549875
200.014709975
300.0220649625
400.02941995
500.0367749375
600.044129925
700.0514849125
800.0588399
900.0661948875
1000.073549875
10000.73549875

How to convert horsepower (metric) to megawatts?

Converting between horsepower (metric) and megawatts involves understanding the relationship between these two units of power. Here's a breakdown:

Understanding the Conversion

Horsepower (metric), also known as Pferdestärke (PS), is a unit of power commonly used in Europe. A megawatt (MW) is a much larger unit of power, typically used for large-scale electricity generation. The conversion factor is constant and doesn't depend on base 10 or base 2.

The Conversion Formula

The key relationship is:

1 metric horsepower (PS)=735.49875 watts1 \text{ metric horsepower (PS)} = 735.49875 \text{ watts}

And since 1 megawatt (MW) is 1×1061 \times 10^6 watts:

1 MW=1,000,000 watts1 \text{ MW} = 1,000,000 \text{ watts}

Converting 1 Horsepower (metric) to Megawatts

To convert 1 horsepower (metric) to megawatts, use the following steps:

  1. Convert horsepower to watts:

    1 PS×735.49875wattsPS=735.49875 watts1 \text{ PS} \times 735.49875 \frac{\text{watts}}{\text{PS}} = 735.49875 \text{ watts}

  2. Convert watts to megawatts:

    735.49875 watts÷1,000,000wattsMW=0.00073549875 MW735.49875 \text{ watts} \div 1,000,000 \frac{\text{watts}}{\text{MW}} = 0.00073549875 \text{ MW}

Therefore:

1 Horsepower (metric)≈0.0007355 MW1 \text{ Horsepower (metric)} \approx 0.0007355 \text{ MW}

Converting 1 Megawatt to Horsepower (metric)

To convert 1 megawatt to horsepower (metric), reverse the process:

  1. Convert megawatts to watts:

    1 MW×1,000,000wattsMW=1,000,000 watts1 \text{ MW} \times 1,000,000 \frac{\text{watts}}{\text{MW}} = 1,000,000 \text{ watts}

  2. Convert watts to horsepower (metric):

    1,000,000 watts÷735.49875wattsPS≈1359.62 PS1,000,000 \text{ watts} \div 735.49875 \frac{\text{watts}}{\text{PS}} \approx 1359.62 \text{ PS}

Therefore:

1 MW≈1359.62 Horsepower (metric)1 \text{ MW} \approx 1359.62 \text{ Horsepower (metric)}

Interesting Facts and Laws

The term "horsepower" was popularized by James Watt, a Scottish inventor and mechanical engineer, to compare the output of steam engines with the power of draft horses. While his original definition differs slightly from the metric horsepower, it served as a foundational unit for measuring power. The metric horsepower (PS) is defined as the power required to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of one meter in one second. You can find additional details about James Watt on reputable sources such as The James Watt Institute.

Real-World Examples

Here are examples of quantities that are commonly converted between horsepower (metric) and megawatts:

  1. Electric Motors: Large industrial motors are often rated in horsepower, while the power grid that supplies them is measured in megawatts.

    • Example: A large electric motor rated at 200 PS is approximately 0.147 MW.

  2. Generators: The output of a generator, particularly in power plants, is often given in megawatts, whereas smaller generators might be described in horsepower.

    • Example: A small emergency generator might be rated at 10 PS, equivalent to approximately 0.007355 MW.

  3. Vehicle Engines: While cars often use horsepower, the total output of an electric vehicle charging station might be discussed in terms of megawatts, especially for rapid charging systems.

    • Example: A car with a 150 PS engine is producing approximately 0.11 MW of power at its peak.

  4. Power Plants: The total output of a power plant is measured in Megawatts while output for individual machines and motors can be measured in horsepower (metric).

    • Example: A single wind turbine produces 2MW of power. It is equivalent to 2719.24 Horsepower (metric).

These conversions are crucial in engineering and energy management to ensure proper system sizing and performance analysis.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Megawatts to other unit conversions.

What is Horsepower (metric)?

This section will provide a comprehensive overview of metric horsepower, including its definition, origins, calculation, and real-world applications.

Definition and Origin

Metric horsepower (PS, PferdeStärke in German, or cheval-vapeur in French) is a unit of power defined as the power required to raise a mass of 75 kilograms against Earth's gravitational force over a distance of one meter in one second. It is slightly less than the imperial horsepower.

Calculation

The value of one metric horsepower is:

1 PS=75 kg⋅9.80665 m/s2⋅1 m1 s≈735.499 watts1 \text{ PS} = \frac{75 \text{ kg} \cdot 9.80665 \text{ m/s}^2 \cdot 1 \text{ m}}{1 \text{ s}} \approx 735.499 \text{ watts}

Therefore, approximately:

1 PS≈0.98632 hp1 \text{ PS} \approx 0.98632 \text{ hp} (Imperial Horsepower)

1 hp≈1.01387 PS1 \text{ hp} \approx 1.01387 \text{ PS}

Historical Context

The term "horsepower" was originally coined by James Watt to compare the output of steam engines to the power of draft horses. While Watt's original definition is related to the imperial horsepower, the metric horsepower evolved separately on the European continent, primarily for similar comparisons involving machinery and animal power.

Real-World Examples

  • Automobiles: Engine power is commonly specified in metric horsepower in many parts of the world. For example, a typical family car might have an engine rated at 150 PS.
  • Motorcycles: Motorcycle engine power is also frequently stated in metric horsepower.
  • Agricultural Machinery: Tractors and other farming equipment often have their power output measured in PS.
  • Industrial Pumps and Motors: The power of pumps, fans, and electric motors used in industrial applications can be rated in metric horsepower. For example a pump may be rated at 5 PS.

Fun fact

While not commonly named after any specific person or law, it's interesting to know how metric horsepower is used across Europe. It gives the user a good understanding of the "power" of a machine.

What is Megawatts?

A megawatt (MW) is a unit of power representing one million watts. Power, in physics, is the rate at which energy is transferred, used, or transformed. Megawatts are commonly used to quantify the output of power plants or the energy consumption of large industrial facilities.

Understanding Megawatts

The term "megawatt" is derived from the SI unit "watt," named after Scottish inventor James Watt, who significantly improved the steam engine. The prefix "mega-" indicates a factor of one million (10610^6). Therefore:

1 MW=1,000,000 W=106 W1 \text{ MW} = 1,000,000 \text{ W} = 10^6 \text{ W}

Since a watt is defined as one joule per second (1 W=1 J/s1 \text{ W} = 1 \text{ J/s}), a megawatt can also be expressed as:

1 MW=1,000,000 J/s1 \text{ MW} = 1,000,000 \text{ J/s}

Formation and Significance

Megawatts are essential for describing large-scale power generation and consumption because using watts alone would result in impractically large numbers. It provides a convenient and easily understandable way to quantify the capacity of power plants, the demand of cities, and the energy usage of heavy machinery.

Interesting Facts and Associations

While no specific "law" is directly tied to the megawatt unit itself, understanding megawatts is crucial for applying fundamental laws of physics like the conservation of energy and understanding electrical power distribution. James Watt, whose name is the base unit for power (watt), is, therefore, indirectly linked. His improvements to the steam engine were a crucial step in the development of large-scale power generation.

Real-World Examples of Megawatt Quantities

  • Power Plants: A typical large coal-fired power plant might have a capacity of 600 MW or more. Nuclear power plants can easily exceed 1000 MW (1 GW).
  • Wind Turbines: A single large wind turbine can generate between 2 and 5 MW. A wind farm consisting of many turbines can produce hundreds of megawatts.
  • Solar Farms: Solar farms can range in size from a few megawatts to hundreds of megawatts, depending on the area covered by solar panels.
  • Industrial Facilities: Large factories, data centers, or manufacturing plants can consume several megawatts of power to operate their equipment and infrastructure.
  • Electric Trains: Electric locomotives can draw several megawatts of power to accelerate and maintain speed.
  • Lightning Strikes: A single lightning strike can release energy equivalent to hundreds of megawatts for a very short duration.

For more information, explore resources from the U.S. Energy Information Administration (EIA) regarding power generation and consumption: https://www.eia.gov/

Complete Horsepower (metric) conversion table

Enter # of Horsepower (metric)
Convert 1 PS to other unitsResult
Horsepower (metric) to Watts (PS to W)735.49875
Horsepower (metric) to Milliwatts (PS to mW)735498.75
Horsepower (metric) to Kilowatts (PS to kW)0.73549875
Horsepower (metric) to Megawatts (PS to MW)0.00073549875
Horsepower (metric) to Gigawatts (PS to GW)7.3549875e-7
Horsepower (metric) to British thermal units per second (PS to Btu/s)0.6971182104441
Horsepower (metric) to Foot-pounds per second (PS to ft-lb/s)542.47603863681
Horsepower (metric) to Horsepower (British) (PS to hp)0.9863200702488

Power conversions