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Milliwatts (mW) to Horsepower (metric) (PS) conversion

Milliwatts to Horsepower (metric) conversion table

Milliwatts (mW)Horsepower (metric) (PS)
00
10.000001359621617304
20.000002719243234608
30.000004078864851912
40.000005438486469216
50.00000679810808652
60.000008157729703823
70.000009517351321127
80.00001087697293843
90.00001223659455574
100.00001359621617304
200.00002719243234608
300.00004078864851912
400.00005438486469216
500.0000679810808652
600.00008157729703823
700.00009517351321127
800.0001087697293843
900.0001223659455574
1000.0001359621617304
10000.001359621617304

How to convert milliwatts to horsepower (metric)?

Converting between milliwatts (mW) and metric horsepower (hp(M)) involves understanding the relationship between these two units of power. Metric horsepower is commonly used in many parts of the world, especially in the automotive and engineering industries. Understanding this conversion can be helpful in various practical applications.

Understanding the Conversion

The conversion between milliwatts and metric horsepower is based on the definition of power, which is the rate at which energy is transferred or converted.

  • 1 metric horsepower (hp(M)) is defined as the power required to raise a mass of 75 kilograms against the Earth's gravitational force by one meter in one second. It is approximately equal to 735.49875 watts. Source: https://en.wikipedia.org/wiki/Horsepower

Converting Milliwatts to Metric Horsepower

To convert milliwatts (mW) to metric horsepower (hp(M)), use the following conversion factor:

1 mW=11000 W1 \text{ mW} = \frac{1}{1000} \text{ W}

1 hp(M)≈735.49875 W1 \text{ hp(M)} \approx 735.49875 \text{ W}

So, to convert xx milliwatts to metric horsepower:

hp(M)=x mW×1 W1000 mW×1 hp(M)735.49875 W\text{hp(M)} = x \text{ mW} \times \frac{1 \text{ W}}{1000 \text{ mW}} \times \frac{1 \text{ hp(M)}}{735.49875 \text{ W}}

For 1 milliwatt:

1 mW=1 mW×1 W1000 mW×1 hp(M)735.49875 W≈1.35962×10−9 hp(M)1 \text{ mW} = 1 \text{ mW} \times \frac{1 \text{ W}}{1000 \text{ mW}} \times \frac{1 \text{ hp(M)}}{735.49875 \text{ W}} \approx 1.35962 \times 10^{-9} \text{ hp(M)}

Therefore, 1 milliwatt is approximately 1.35962×10−91.35962 \times 10^{-9} metric horsepower.

Converting Metric Horsepower to Milliwatts

To convert metric horsepower (hp(M)) to milliwatts (mW), use the reciprocal of the above conversion:

mW=x hp(M)×735.49875 W1 hp(M)×1000 mW1 W\text{mW} = x \text{ hp(M)} \times \frac{735.49875 \text{ W}}{1 \text{ hp(M)}} \times \frac{1000 \text{ mW}}{1 \text{ W}}

For 1 metric horsepower:

1 hp(M)=1 hp(M)×735.49875 W1 hp(M)×1000 mW1 W=735498.75 mW1 \text{ hp(M)} = 1 \text{ hp(M)} \times \frac{735.49875 \text{ W}}{1 \text{ hp(M)}} \times \frac{1000 \text{ mW}}{1 \text{ W}} = 735498.75 \text{ mW}

Therefore, 1 metric horsepower is equal to 735,498.75 milliwatts.

Step-by-Step Instructions

Converting Milliwatts to Metric Horsepower:

  1. Divide by 1000: Convert milliwatts to watts by dividing the value in milliwatts by 1000.

    Watts=Milliwatts1000\text{Watts} = \frac{\text{Milliwatts}}{1000}

  2. Divide by 735.49875: Convert watts to metric horsepower by dividing the value in watts by 735.49875.

    Metric Horsepower=Watts735.49875\text{Metric Horsepower} = \frac{\text{Watts}}{735.49875}

Converting Metric Horsepower to Milliwatts:

  1. Multiply by 735.49875: Convert metric horsepower to watts by multiplying the value in metric horsepower by 735.49875.

    Watts=Metric Horsepower×735.49875\text{Watts} = \text{Metric Horsepower} \times 735.49875

  2. Multiply by 1000: Convert watts to milliwatts by multiplying the value in watts by 1000.

    Milliwatts=Watts×1000\text{Milliwatts} = \text{Watts} \times 1000

Historical Context and Notable Figures

The concept of horsepower was popularized by James Watt, a Scottish inventor and mechanical engineer, during the late 18th century. Watt sought a way to market the power of his steam engines, so he compared it to the power of horses, which were a commonly used source of power at the time. Although Watt defined imperial horsepower, his work laid the groundwork for understanding and quantifying power, which later led to the definition of metric horsepower. Source:https://en.wikipedia.org/wiki/Horsepower

Real-World Examples

  1. Electric Motors: Small electric motors might be rated in milliwatts, while larger motors are rated in horsepower. For instance, a tiny motor used in a small electronic device could be rated at 500 mW, whereas a motor in a washing machine might be rated at 1/4 hp (metric).
  2. Automotive Industry: Car engines are commonly rated in horsepower. A typical car engine might produce 150 hp (metric), while smaller components like window motors could be rated in milliwatts.
  3. Power Supplies: Small power supplies for electronic devices, like phone chargers, might be rated in milliwatts, while larger power supplies for industrial equipment could relate to fractions or multiple horsepowers.
  4. Consumer Electronics: The power consumption of small electronic devices like LED indicators or microcontrollers is often measured in milliwatts. For instance, an LED might consume 20 mW.

By understanding these conversions, one can easily relate the power ratings of various devices and systems, regardless of the scale.

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 Horsepower (metric) to other unit conversions.

What is Milliwatts?

Milliwatts are a unit of power, commonly used to measure small amounts of electrical or other forms of power. Understanding milliwatts helps in various applications from electronics to radio communication.

Milliwatts Defined

A milliwatt (mW) is a unit of power in the International System of Units (SI). It is equal to one-thousandth (1/1000) of a watt. Since a watt is a joule per second, a milliwatt represents 0.001 joules of energy being converted or consumed per second.

Mathematically:

1mW=11000W=0.001W1 mW = \frac{1}{1000} W = 0.001 W

How Milliwatts Are Formed

The term "milliwatt" is derived from the SI prefix "milli-", which denotes a factor of 10−310^{-3} or 1/1000, combined with the unit of power, the watt (W). The watt, in turn, is named after James Watt, a Scottish inventor and mechanical engineer known for his improvements to the steam engine.

Real-World Examples of Milliwatts

Milliwatts are commonly encountered in situations involving low power consumption:

  • Small Electronic Devices: Many portable electronic devices like headphones, smartwatches, and sensors operate in the milliwatt range to conserve battery life.
  • Laser Pointers: The output power of laser pointers is often limited to a few milliwatts to ensure safety.
  • Radio Transmitters: Low-power radio transmitters, such as those used in wireless sensor networks or short-range communication devices, may have output powers measured in milliwatts.
  • Hearing Aids: Hearing aids consume very little power, typically measured in milliwatts.
  • Medical Devices: Certain medical devices, like implanted sensors, use milliwatts of power for operation.

Power Calculations & Conversions

Understanding the relationship between milliwatts, volts, and amps is crucial in electronics. Power (P) in watts can be calculated using the following formulas:

  • P=VIP = VI (where V is voltage in volts and I is current in amperes)
  • P=I2RP = I^2R (where I is current in amperes and R is resistance in ohms)
  • P=V2RP = \frac{V^2}{R} (where V is voltage in volts and R is resistance in ohms)

To convert from watts to milliwatts, multiply by 1000. To convert from milliwatts to watts, divide by 1000.

For example, if a device operates at 5 volts and draws 0.1 amperes of current, the power consumption is:

P=5V∗0.1A=0.5W=500mWP = 5V * 0.1A = 0.5 W = 500 mW

James Watt and the Development of Power Measurement

While milliwatts are a modern unit, they're directly related to the watt, named after James Watt. Watt's improvements to the steam engine were pivotal in the Industrial Revolution. He also developed the concept of horsepower as a unit of power, which later led to the standardization of the watt as the SI unit of power.

Read more about James Watt and the History of the Watt in britannica

SEO Considerations

When discussing milliwatts, related keywords include:

  • Power consumption
  • Electrical power
  • Wattage
  • Voltage
  • Current
  • Energy efficiency
  • SI units
  • Electronics
  • mW to W conversion

By including these terms naturally within the content, the page's SEO performance can be enhanced.

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.

Complete Milliwatts conversion table

Enter # of Milliwatts
Convert 1 mW to other unitsResult
Milliwatts to Watts (mW to W)0.001
Milliwatts to Kilowatts (mW to kW)0.000001
Milliwatts to Megawatts (mW to MW)1e-9
Milliwatts to Gigawatts (mW to GW)1e-12
Milliwatts to Horsepower (metric) (mW to PS)0.000001359621617304
Milliwatts to British thermal units per second (mW to Btu/s)9.4781698873601e-7
Milliwatts to Foot-pounds per second (mW to ft-lb/s)0.000737562149
Milliwatts to Horsepower (British) (mW to hp)0.000001341022089091

Power conversions