How to Convert Microwatts to Horsepower
To convert a power measurement from microwatts to horsepower, divide the power value by the conversion factor. Since one microwatt is equal to 1.341 × 10-9 horsepower, you can use this formula:
The power in horsepower is equal to the microwatts divided by 7.457 × 108.
Using the formula: horsepower = microwatts ÷ 7.457 × 108
horsepower = 5 µW ÷ 7.457 × 108 = 6.7051E-9 hp
Therefore, 5 microwatts equals 6.7051E-9 horsepower.
How Many Horsepower Are in a Microwatt?
There are 1.341 × 10-9 horsepower in one microwatt.
What Is a Microwatt?
The microwatt (symbol: μW) is a unit of power equal to one millionth (10−6) of a watt. The prefix “micro” denotes a factor of 10−6 in the International System of Units. Microwatts are used in electronics, telecommunications, and sensor technology to measure very small power levels. Radio frequency (RF) signal strengths, the power output of photodetectors, and the energy harvesting capacity of micro-generators are commonly expressed in microwatts. In wireless communications, received signal power is often measured in microwatts or expressed in dBm (decibels relative to one milliwatt). A typical Wi-Fi signal received at moderate distance might be 0.001–1 μW (−30 to 0 dBm). In biomedical engineering, the power consumption of implantable devices (such as pacemakers and cochlear implants) and the electrical signals from the human body (EEG, ECG) are in the microwatt range. Modern ultra-low-power microcontrollers can operate at power levels below 1 μW in sleep mode.
One microwatt is equal to:
- 10−6 watts (W)
- 0.001 milliwatts (mW)
- 10−9 kilowatts (kW)
- 1.34102 × 10−9 horsepower (hp)
- 3.41214 × 10−6 Btu per hour (Btu/h)
- 8.60421 × 10−7 kilocalories per hour (kcal/h)
What Is a Horsepower?
Horsepower (symbol: hp) is a unit of power that originated in the late 18th century when James Watt sought to compare the output of steam engines with the power of draft horses. One mechanical horsepower is defined as 550 foot-pounds-force per second (550 ft·lbf/s), which equals approximately 745.7 watts. There are several types of horsepower in use, but the most common is the mechanical (or imperial) horsepower. It is used extensively in the automotive, marine, and aerospace industries to rate the power output of engines and motors. In the automotive industry, engine power is almost universally expressed in horsepower in the United States and many other countries. A small economy car might produce 100–150 hp, a mid-size sedan 200–300 hp, and a high-performance sports car 400–700 hp. Top Fuel dragsters produce over 11,000 hp. In marine engineering, the power of outboard motors, inboard engines, and ship propulsion systems is rated in horsepower. A typical pleasure boat might have a 150–300 hp outboard, while a large container ship may have an engine producing 80,000–100,000 hp. The term “horsepower” was originally estimated by Watt based on the sustained power output of a mill horse: approximately 33,000 foot-pounds of work per minute. This definition (33,000 ft·lbf/min = 550 ft·lbf/s) remains the exact definition of mechanical horsepower today.
One horsepower is equal to:
- 745.7 watts (W)
- 0.7457 kilowatts (kW)
- 7.457 × 10−4 megawatts (MW)
- 745,700 milliwatts (mW)
- 2,544.43 Btu per hour (Btu/h)
- 641.186 kilocalories per hour (kcal/h)
Understanding Power Units
Power is the rate at which energy is transferred, converted, or used per unit of time. In physics, power equals work done divided by the time taken (P = W/t), or equivalently, force times velocity (P = Fv). Power is a scalar quantity measured in watts in the SI system.
Different power units reflect the diverse fields in which power is measured. The watt (and its multiples) dominate science and electrical engineering, while horsepower remains entrenched in the automotive and mechanical industries. Btu per hour is the standard in the American HVAC industry, and kilocalories per hour bridges the gap between physics and nutrition science.
Major Power Unit Families
- SI / Metric units: The watt (W) is the SI unit of power, with standard metric prefixes (μW, mW, kW, MW). One watt equals one joule per second (1 W = 1 J/s = 1 kg·m²/s³).
- Mechanical horsepower: Defined as 550 ft·lbf/s ≈ 745.7 W. Used primarily for rating engines and motors, especially in the US automotive industry.
- British thermal units per hour: Based on the BTU, a traditional unit of heat energy. 1 Btu/h ≈ 0.2931 W. Standard in the US HVAC industry for heating and cooling equipment ratings.
- Kilocalories per hour: Based on the thermochemical kilocalorie. 1 kcal/h ≈ 1.162 W. Used in nutrition, exercise science, and some HVAC applications outside the US.
Power in Everyday Life
- Lighting: LED bulbs use 5–15 W, CFL bulbs 13–25 W, and incandescent bulbs 40–100 W for comparable brightness.
- Computing: A smartphone charger delivers 5–25 W, a laptop uses 30–100 W, and a desktop gaming PC can draw 300–800 W.
- Transportation: A typical car engine produces 100–300 hp (75–225 kW), while a locomotive produces 3,000–6,000 hp (2.2–4.5 MW).
- Human body: At rest, the human body generates about 80–100 W of heat. During vigorous exercise, this can rise to 1,000–2,000 W.
Converting Between Power Units
All power units measure the same physical quantity — the rate of energy transfer — so converting between them is a matter of multiplying by the appropriate conversion factor. The factor is the ratio of how many watts one unit of the source contains divided by how many watts one unit of the target contains.
Key conversion constants: 1 hp = 745.7 W, 1 Btu/h ≈ 0.2931 W, 1 kcal/h ≈ 1.162 W. For SI prefixes, each step is a factor of 1,000 (1 kW = 1,000 W, 1 MW = 1,000 kW).
Tips for Power Conversions
- For SI metric conversions (μW, mW, W, kW, MW), each prefix step is a factor of 1,000. So 1 MW = 1,000 kW = 1,000,000 W.
- To convert horsepower to kilowatts, multiply by 0.7457. To go the other way, divide by 0.7457 (or multiply by 1.341).
- Quick mental estimate: 1 hp ≈ ¾ kW, or 4 hp ≈ 3 kW. This is handy for quick comparisons.
- In HVAC, 1 ton of refrigeration = 12,000 Btu/h ≈ 3.517 kW. A “3-ton” air conditioner = 36,000 Btu/h ≈ 10.55 kW.
- For Btu/h to watts: divide by 3.412. For watts to Btu/h: multiply by 3.412.
- The “Calories” on food labels are actually kilocalories (kcal). A food with 100 Calories provides 100 kcal of energy.
- Don’t confuse power (watts) with energy (watt-hours). A 100 W light bulb running for 10 hours uses 1,000 Wh = 1 kWh of energy.
- When comparing engine power ratings, ensure you’re using the same type of horsepower. Mechanical hp (≈ 745.7 W) is slightly different from metric hp (≈ 735.5 W).
Microwatts to Horsepower Conversion Table
The following table shows conversions from microwatts to horsepower.
| Microwatts | Horsepower (hp) |
|---|---|
| 1.0000E+8 µW | 0.134102 |
| 2.0000E+8 µW | 0.268204 |
| 3.0000E+8 µW | 0.402307 |
| 4.0000E+8 µW | 0.536409 |
| 5.0000E+8 µW | 0.670511 |
| 6.0000E+8 µW | 0.804613 |
| 7.0000E+8 µW | 0.938715 |
| 8.0000E+8 µW | 1.07282 |
| 9.0000E+8 µW | 1.20692 |
| 1.0000E+9 µW | 1.34102 |
| 2.0000E+9 µW | 2.68204 |
| 3.0000E+9 µW | 4.02307 |
| 4.0000E+9 µW | 5.36409 |
| 5.0000E+9 µW | 6.70511 |
| 6.0000E+9 µW | 8.04613 |
| 7.0000E+9 µW | 9.38715 |
| 8.0000E+9 µW | 10.7282 |
| 9.0000E+9 µW | 12.0692 |
| 1.0000E+10 µW | 13.4102 |
| 2.0000E+10 µW | 26.8204 |
| 3.0000E+10 µW | 40.2307 |
| 4.0000E+10 µW | 53.6409 |
| 5.0000E+10 µW | 67.0511 |
| 6.0000E+10 µW | 80.4613 |
| 7.0000E+10 µW | 93.8715 |
| 8.0000E+10 µW | 107.282 |
| 9.0000E+10 µW | 120.692 |
| 1.0000E+11 µW | 134.102 |