Power Converter
Convert power instantly between Watts, Kilowatts, Horsepower (hp), Metric PS, BTU/h, Tons of Refrigeration, Megawatts, and ft·lbf/s with interactive visual diagrams and full step-by-step solutions.
Kilowatt: 1,000 W (appliances, EV charging, solar panels)•Mechanical Horsepower: Imperial standard of 550 ft·lbf/s (engines, motors, pumps)
Popular Conversions
Household LED Bulbs (10W)
LED bulbs lit simultaneously
Standard Car Engines (150 hp)
Typical sedan engines at max load
Residential AC Chillers (1.5 Ton)
Home air conditioners running simultaneously
Home Solar Panels (400W)
Rooftop solar panels producing peak energy
Interactive Power Unit Conversion Map
Watt (W) serves as the SI base pivot unit. The diagram calculates live converted values across mechanical, electrical, thermal, and HVAC power systems in real-time.
Step-by-Step Conversion Flow Pipeline
Every power conversion routes through base Watts (1 W = 1 J/s). The flow chart displays the precise conversion math and live numbers for your entry.
Physical Scale of Power Benchmark
A logarithmic scale comparing your input power against real-world energy systems from microcontrollers to sports cars and nuclear power plants.
Step-by-Step Solution
Here's exactly how this answer was calculated, one step at a time.
Given: 100 kW → hp
Step 1: Identify the conversion factors to Watts (SI base unit of power)
In physics and engineering, the Watt (W) equals 1 Joule per second (1 J/s). Every power unit, from mechanical horsepower to thermal BTU/h, has a fixed linear ratio to the Watt.
1 kW = 1,000 W 1 hp = 745.7 WStep 2: Convert input from kilowatt into base Watts (W)
Multiply the entered input value by Kilowatt's conversion factor to determine the total power rate in Watts first.
100 kW × 1,000 W/kW = 100,000 WStep 3: Convert base Watts into target unit (Mechanical Horsepower)
Divide the total power in Watts by Mechanical Horsepower's conversion factor to arrive at the final converted output.
100,000 W ÷ 745.7 W/hp = 134.1 hpStep 4: Final Conversion Answer
100 kW = 134.1 hp
Final Converted Result:
134.1 hp
Comprehensive Power Converter: Convert Watts, Kilowatts, Horsepower, BTU/h & Tons
Power is the fundamental physical rate at which energy is generated, transferred, or consumed over time. Expressed mathematically as P = W / t (power equals work divided by time), power links mechanical force, electrical current, and thermal heat flow across every domain of engineering, physics, and daily technology.
Whether you are evaluating electric vehicle motor output in kilowatts (kW) versus mechanical horsepower (hp), sizing a residential heat pump or air conditioner in BTU per hour (BTU/h) and Tons of Refrigeration (TR), or calculating power plant capacity in Megawatts (MW) and Gigawatts (GW), converting accurately between power units is an indispensable requirement.
This online power converter provides instantaneous, high-precision conversion across 14 global power units across SI Metric, Imperial/US Customary, Automotive, HVAC/Thermal, and CGS Physics systems. Complete with real-time interactive diagrams, live mathematical step-by-step solutions, and reference conversion matrix tables, this tool removes all guesswork from power calculations.
Understanding the Spectrum of Power Measurement Systems
Different industries and scientific disciplines use distinct units tailored to their specific applications:
SI & Metric System (W, kW, MW, GW, mW): The International System of Units (SI) defines the Watt (W) as the base derived unit of power, named after Scottish engineer James Watt. One Watt represents an energy transfer rate of one Joule per second (1 W = 1 J/s = 1 N·m/s = 1 V·A). Kilowatts (kW) are standard for home appliances, EV chargers, and solar power. Megawatts (MW) and Gigawatts (GW) measure utility-scale power grids, wind farms, and power stations.
Mechanical & Imperial Horsepower (hp): First coined by James Watt in the 18th century to compare steam engine performance against draft horses, one mechanical horsepower is standardly defined as 550 foot-pounds per second (ft·lbf/s), which equals exactly 745.69987 Watts. It remains the universal standard for automotive combustion engines, industrial electric motors, and water pumps in North America.
Metric Horsepower / Pferdestärke (PS): Standardized in Germany (DIN 66036) and widely adopted throughout Europe, Japan, and South Korea, one Metric Horsepower (PS or ch) is defined as the power required to raise 75 kilograms against gravity by one meter in one second. This equals 735.49875 Watts (approximately 98.6% of a mechanical hp).
HVAC & Thermal Units (BTU/h, Ton of Refrigeration, kcal/h): Heating, Ventilation, and Air Conditioning (HVAC) systems measure thermal transfer rate. British Thermal Units per Hour (BTU/h) represents the heat required to raise 1 pound of water by 1°F per hour (1 W ≈ 3.41214 BTU/h). A Ton of Refrigeration (TR) equals 12,000 BTU/h (3,516.85 W), originally derived from the heat required to melt 2,000 pounds (1 short ton) of ice in 24 hours.
Core Power Conversion Formulas & Step-by-Step Examples
Every power conversion operates through linear ratios relative to the base SI unit, the Watt. Below are the key formulas and worked practical examples:
- Kilowatts to Horsepower (kW → hp): Formula: hp = kW × 1.34102. Example: An electric motor rated at 100 kW delivers 100 × 1.34102 = 134.10 hp.
- Horsepower to Kilowatts (hp → kW): Formula: kW = hp × 0.7457. Example: A 400 hp sports car engine produces 400 × 0.745699 = 298.28 kW of continuous mechanical power.
- Watts to BTU per Hour (W → BTU/h): Formula: BTU/h = W × 3.41214. Example: A 1,500 W space heater generates 1,500 × 3.41214 = 5,118.2 BTU/h of heat.
- Tons of Refrigeration to Kilowatts (TR → kW): Formula: kW = TR × 3.51685. Example: A 5-Ton commercial building chiller translates to 5 × 3.51685 = 17.58 kW of cooling capacity.
- Horsepower to Metric PS (hp → PS): Formula: PS = hp × 1.01387. Example: A 500 hp American engine is rated at 500 × 1.01387 = 506.9 PS under European DIN standards.
Complete 14-Unit Power Conversion Matrix Table
Quick reference matrix displaying the exact equivalent value of 1 unit of each power measurement converted into other primary global units:
| Base Unit | Watts (W) | Kilowatts (kW) | Horsepower (hp) | Metric PS | BTU/h | Ton (TR) | ft·lbf/s |
|---|---|---|---|---|---|---|---|
| 1 W | 1 | 0.001 | 0.001341 | 0.001360 | 3.41214 | 0.000284 | 0.737562 |
| 1 kW | 1,000 | 1 | 1.34102 | 1.35962 | 3,412.14 | 0.284345 | 737.562 |
| 1 hp | 745.70 | 0.74570 | 1 | 1.01387 | 2,544.43 | 0.212036 | 550.000 |
| 1 PS | 735.50 | 0.73550 | 0.98632 | 1 | 2,509.62 | 0.209136 | 542.476 |
| 1 BTU/h | 0.29307 | 0.000293 | 0.000393 | 0.000398 | 1 | 0.0000833 | 0.216158 |
| 1 TR (Ton) | 3,516.85 | 3.51685 | 4.71618 | 4.78160 | 12,000.0 | 1 | 2,593.90 |
| 1 MW | 1,000,000 | 1,000 | 1,341.02 | 1,359.62 | 3,412,142 | 284.345 | 737,562 |
Real-World Engineering & Industrial Applications
Power conversions are used continuously across modern technology sectors:
Electric Vehicles (EV) & Automotive Performance: Electric vehicle manufacturers publish motor ratings in kilowatts (kW), whereas car buyers traditionally evaluate vehicles in horsepower (hp). Converting 200 kW to ~268 hp helps drivers compare EV acceleration and power directly against internal combustion engines.
HVAC & Building Climate Control Sizing: Heating and cooling engineers size air conditioning units and heat pumps in Tons of Refrigeration (TR) or BTU/h, while electrical contractors require power draw ratings in kilowatts (kW) or Amperes to design circuit breaker loads and wiring gauges.
Solar Photovoltaic (PV) & Renewable Energy Systems: Solar panel arrays are specified in Watt-peak (Wp) or Kilowatts (kW). When evaluating grid-tied battery backup systems or emergency generators, converting continuous power load from Watts to kVA or kW ensures proper equipment specification.
Industrial Motors & Water Pumps: Hydraulic pumps, air compressors, and manufacturing machinery state shaft power in mechanical horsepower (hp) or kW. Converting to electrical horsepower (hp(E)) or kW allows facility managers to calculate energy consumption costs.
Frequently Asked Questions
How do I convert Kilowatts (kW) to Horsepower (hp)?
To convert Kilowatts to mechanical horsepower, multiply the kW value by 1.34102 (or divide by 0.7457). For example, 100 kW × 1.34102 = 134.1 horsepower.
What is the difference between Mechanical hp and Metric hp (PS)?
Mechanical horsepower (hp) is the Imperial standard equal to 745.7 Watts (550 ft·lbf/s). Metric horsepower (PS / Pferdestärke) is the European standard equal to 735.5 Watts (75 kg·m/s). 1 mechanical hp equals approximately 1.014 Metric PS.
How many Watts are in 1 BTU per hour (BTU/h)?
One BTU per hour equals approximately 0.293071 Watts. Conversely, 1 Watt equals 3.41214 BTU/h. This factor is widely used to convert HVAC heating and cooling capacity into electrical power.
What is 1 Ton of Refrigeration (TR) in Watts and BTU/h?
One Ton of Refrigeration (TR) equals exactly 12,000 BTU per hour, which corresponds to 3,516.85 Watts (3.517 kW) of cooling rate.
Why is the Watt defined as 1 Joule per second?
The Watt is the SI derived unit of power representing an energy flow rate of one Joule per second (1 W = 1 J/s). It unifies mechanical work (force × distance / time) and electrical work (voltage × current).
How do I calculate electrical power from voltage and current?
For direct current (DC) circuits, electric power in Watts equals voltage in Volts multiplied by current in Amperes (P = V × I). For single-phase AC circuits, power is P = V × I × Power Factor.