Common power units:
- Watt (W): SI unit of power
- Kilowatt (kW): 1,000 watts
- Horsepower (hp): 745.7 watts
- BTU/hour: heating/cooling power
- Volt-ampere (VA): apparent power
Key relationships:
- 1 hp = 745.7 W = 0.7457 kW
- 1 kW = 1.341 hp = 3,412.14 BTU/h
- 1 BTU/h = 0.2931 W = 0.0003931 hp
Origins of Power Units:
The watt (W) was introduced in the late 18th century, named after James Watt, the Scottish engineer who significantly improved the steam engine. It was officially adopted as the SI unit of power in 1960.
Horsepower Development:
Horsepower was defined by James Watt in the 1780s to compare steam engine output to draft horses. Several standards developed: mechanical/imperial horsepower (745.7 W), metric horsepower/PS (735.5 W), and electrical horsepower (746 W).
Thermal Units:
The British Thermal Unit (BTU) emerged in the late 19th century from heating applications. BTU per hour became standard for HVAC system ratings and remains widely used, especially in the United States.
Watts are used for:
- Household electronics and lighting
- Small electrical devices
- Solar panel output ratings
- Computer component power consumption
Horsepower is used for:
- Vehicle engines (especially in US/UK)
- Industrial motors and engines
- Pumps and compressors
- Lawn equipment and power tools
Other units:
- BTU/hour: HVAC systems, heaters
- kW and MW: electrical utilities
- VA and kVA: electrical equipment rating
- W/m²: solar radiation, heat flux
Power Unit Conversion Calculator
Conversion Result
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What are Power Measurements?
Power measurements quantify the rate at which energy is transferred, used, or transformed. The fundamental unit of power is the watt (W), defined as one joule of energy per second (J/s). Power is a crucial measurement in electrical, mechanical, thermal, and many other engineering and scientific applications.
Different power units evolved to suit various industries and applications. While watts and kilowatts are standard in electrical applications, horsepower remains common for engines and motors, BTU per hour for heating and cooling systems, and watt per square meter for radiation intensity measurements.
Learn more from NIST or Bureau International des Poids et Mesures (BIPM).
Common Power Conversions
From | To | Multiply By | Example |
---|---|---|---|
Watts (W) | Horsepower (hp) | 0.001341 | 1,000 W = 1.341 hp |
Horsepower (hp) | Watts (W) | 745.7 | 1 hp = 745.7 W |
Watts (W) | BTU/hour | 3.412142 | 1,000 W = 3,412.14 BTU/h |
BTU/hour | Watts (W) | 0.2931 | 1,000 BTU/h = 293.1 W |
Kilowatts (kW) | Horsepower (hp) | 1.341 | 1 kW = 1.341 hp |
Metric horsepower (PS) | Watts (W) | 735.5 | 1 PS = 735.5 W |
Foot-pound/second | Watts (W) | 1.3558 | 1 ft·lbf/s = 1.3558 W |
Power Density Conversions
From | To | Multiply By | Example |
---|---|---|---|
W/m² | BTU/h·ft² | 0.3170 | 1,000 W/m² = 317 BTU/h·ft² |
BTU/h·ft² | W/m² | 3.1546 | 100 BTU/h·ft² = 315.46 W/m² |
hp/in³ | kW/L | 45.5 | 1 hp/in³ = 45.5 kW/L |
W/kg | hp/lb | 0.0006083 | 1,000 W/kg = 0.6083 hp/lb |
Practical Applications of Power Conversions
Electrical Engineering
- Sizing electrical panels, wiring, and circuit breakers based on wattage
- Converting between apparent power (VA) and real power (W) using power factor
- Calculating three-phase power for industrial equipment
- Determining electrical energy consumption (kWh) from power ratings
Mechanical Engineering
- Converting between mechanical horsepower and kilowatts for motors and engines
- Calculating power requirements for pumps, fans, and compressors
- Determining power transmission through gears, belts, and chains
- Evaluating power-to-weight ratios for vehicle performance
HVAC & Building Systems
- Converting between BTU/hour and kilowatts for heating and cooling systems
- Sizing air conditioning units based on room size and heat load
- Calculating heat flux through building materials (W/m²)
- Determining energy efficiency ratios for heating/cooling equipment
Renewable Energy
- Calculating solar panel output based on irradiance (W/m²) and panel area
- Sizing battery storage systems based on power requirements
- Determining wind turbine capacity factors from rated power
- Comparing energy production capacity across different technologies
Consumer Applications
- Understanding power consumption ratings on household appliances
- Comparing automobile engine power specifications across regions
- Calculating electricity costs based on device wattage and usage time
- Selecting appropriate power tools based on horsepower or wattage ratings
Educational Resource
This comprehensive tutorial from The Organic Chemistry Tutor has over 1.5 million views and explains unit conversions with a focus on power units like watts, horsepower, and joules per second. The video provides a detailed walkthrough of dimensional analysis methods essential for engineering, physics, and practical applications involving power measurements.
Power Conversion Resources
Get our comprehensive power conversion chart showing relationships between watts, horsepower, BTU/hour, and other power units for quick reference in your engineering calculations and everyday applications.
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Power Conversion FAQs
Find answers to common questions about power measurements and conversions.