Converter
Common Units
Formulas
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Guide

Power Converter

Important Note: Power is the rate of energy transfer or work done per unit time. This converter handles all major power units used in electrical, mechanical, and thermal applications.

Common Power Units

Watt
W

SI unit of power. 1 W = 1 J/s. Basic unit for electrical and mechanical power.

Kilowatt
kW

1000 watts. Common for household appliances and small motors. Used in electricity billing.

Horsepower
hp

Traditional mechanical power unit. 1 hp ≈ 746 W. Used for engines and motors.

BTU per Hour
BTU/h

Thermal power unit. Common in HVAC systems for heating and cooling capacity.

Megawatt
MW

1 million watts. Used for large industrial systems and power plant output.

Metric Horsepower
PS

European horsepower standard. 1 PS ≈ 735 W. Used in automotive industry.

Power Conversion Table

Unit Watts (W) Horsepower (hp) kW BTU/h Common Application
1 Watt11.34×10⁻³0.0013.41LED bulb
1 Kilowatt1,0001.3413,412Space heater
1 Horsepower745.710.7462,545Car engine (1 hp)
1 Metric HP735.50.9860.7352,510European cars
1 BTU/h0.2933.93×10⁻⁴2.93×10⁻⁴1Air conditioner
1 Megawatt1,000,0001,3411,0003.41×10⁶Small power plant

Power Formulas & Calculations

Basic Power Formula
P = W/t
Power = Work/Time

Fundamental definition of power as rate of energy transfer.

Electrical Power (DC)
P = V × I
P = V²/R = I²R

Electrical power calculations using voltage, current, and resistance.

Mechanical Power
P = F × v
P = τ × ω

Force × velocity OR Torque × angular velocity.

AC Electrical Power
P = V × I × cos(φ)
Real Power (Watts)

AC power with power factor consideration (φ = phase angle).

Thermal Power
P = Q/t
P = ṁ × cp × ΔT

Heat transfer rate or mass flow thermal power.

Hydraulic Power
P = ρ × g × Q × H
P = Pressure × Flow Rate

Fluid power calculations for pumps and turbines.

Power Conversion Factors

From To Multiply by Common Use
HorsepowerWatts745.7Engine ratings
kWHorsepower1.341Motor specifications
BTU/hWatts0.2931HVAC calculations
WattsBTU/h3.412Heat load calculations
Ton RefrigerationkW3.517Cooling systems
Boiler HPkW9.81Steam generation
Important: Always distinguish between mechanical horsepower (745.7 W) and metric horsepower (735.5 W) when doing conversions.

Power Examples & Applications

🏠 Household Appliances
  • LED bulb: 8-12 W
  • Laptop computer: 65-90 W
  • Microwave oven: 700-1,200 W
  • Hair dryer: 1,500-1,875 W
  • Electric kettle: 2,000-3,000 W
  • Air conditioner: 2,000-5,000 W
🚗 Automotive Engines
  • Small car (1.0L): 60-75 hp (45-55 kW)
  • Compact car (1.6L): 120-140 hp (89-104 kW)
  • Mid-size car (2.0L): 180-220 hp (134-164 kW)
  • Sports car (V8): 400-500 hp (298-373 kW)
  • Motorcycle (600cc): 100-120 hp (75-89 kW)
  • Semi truck: 400-600 hp (298-447 kW)
🏭 Industrial Equipment
  • Small electric motor: 0.5-5 kW
  • Industrial compressor: 15-200 kW
  • Large pump: 50-500 kW
  • Wind turbine: 1.5-3 MW
  • Diesel generator: 10 kW-10 MW
  • Electric arc furnace: 10-100 MW
🔌 Power Generation
  • Solar panel (residential): 250-400 W
  • Small wind turbine: 1-10 kW
  • Large wind turbine: 2-8 MW
  • Coal power plant: 500-2,000 MW
  • Nuclear reactor: 1,000-1,600 MW
  • Hydroelectric dam: 50-22,500 MW

HVAC Power Examples

🏠 Residential HVAC

Window AC unit: 5,000-12,000 BTU/h (1.5-3.5 kW)

Central air system: 24,000-60,000 BTU/h (7-18 kW)

Heat pump: 18,000-36,000 BTU/h (5.3-10.6 kW)

🏢 Commercial HVAC

Small office building: 100-500 kW cooling

Shopping mall: 1-5 MW cooling

Hospital: 2-10 MW total HVAC

🔥 Heating Systems

Gas furnace: 60,000-120,000 BTU/h (18-35 kW)

Electric heater: 1,500-5,000 W

Boiler system: 100,000-1,000,000 BTU/h (29-293 kW)

Power Guide & Applications

📏 Understanding Power
  • Power: Rate of energy transfer (Energy/Time)
  • Unit: Watt (W) = Joule per second (J/s)
  • Not energy: Power × Time = Energy
  • Peak vs average: Instantaneous vs sustained power
🔌 Electrical vs Mechanical
  • Electrical: V×I, used for motors, appliances
  • Mechanical: Force×velocity, engine output
  • Conversion: Electric motor ~85-95% efficient
  • Losses: Heat, friction, electromagnetic
🌍 Power by Application
  • Automotive: Horsepower (hp), kW
  • Electrical: Watts (W), kilowatts (kW)
  • HVAC: BTU/h, tons of refrigeration
  • Industrial: Megawatts (MW), motor ratings
🎯 Practical Considerations
  • Safety: Circuit breaker sizing
  • Efficiency: Power factor in AC systems
  • Load calculation: Total power demand
  • Peak demand: Maximum power draw
⚠️ Common Mistakes
  • Power vs Energy: kW vs kWh confusion
  • HP variants: Mechanical vs metric horsepower
  • AC power: Forgetting power factor
  • Peak ratings: Nominal vs maximum power
🔄 Conversion Tips
  • Horsepower: 1 hp = 745.7 W (mechanical)
  • Metric HP: 1 PS = 735.5 W (European)
  • HVAC: 1 ton refrigeration = 3.517 kW
  • Precision: Use appropriate significant figures

Power Calculation Best Practices

Pro Tips:
  • Always specify which horsepower standard (mechanical vs metric)
  • Consider power factor for AC electrical systems
  • Use nameplate ratings for equipment specifications
  • Account for efficiency losses in power calculations
  • Distinguish between continuous and peak power ratings
  • Remember: Power = Energy ÷ Time (not the same as energy)