Horsepower Calculator
Calculate & Convert Power - Horsepower, Watts, and Energy Measurement Tool
Calculate Power from Force × Distance ÷ Time
Convert Between Power Units
Different Horsepower Definitions
| Type | Symbol | Metric Definition | Watts | Usage |
|---|---|---|---|---|
| Mechanical (Brake) | hp, bhp | 550 ft-lbf/s | 745.7 W | Vehicles, engines, machinery. Most common definition. |
| Metric | hp(M), CV | 75 kgf-m/s | 735.499 W | Europe, metric countries. Slightly less than mechanical HP. |
| Electrical | hp(E) | Exact conversion | 746 W | Electric motors, machinery. Defined exactly as 746W. |
| Boiler | hp(S) | 34.5 lbs steam/hour | 9,809.5 W | Steam engines, boilers. Rarely used today. |
- Torque: Rotational force (lb-ft, N-m). Not same as HP. Torque × RPM ÷ 5,252 = HP.
- Power: Rate of work. HP measures power. Watt (SI unit). 1 HP = 745.7W.
- Energy: Capacity to do work. Power × time = energy. Joules, kWh, BTU.
- Work: Force × distance. Power = work ÷ time. Joules (N-m).
Power & Horsepower Reference
| From | To | Multiply By | Example |
|---|---|---|---|
| Mechanical HP | Watts | 745.7 | 1 hp = 745.7 W |
| Metric HP | Watts | 735.499 | 1 hp(M) = 735.5 W |
| Watts | Kilowatts | 0.001 | 1000 W = 1 kW |
| HP | BTU/hour | 2,544.43 | 1 hp = 2,544 BTU/h |
| Watts | BTU/hour | 3.41214 | 100 W = 341.2 BTU/h |
| Device/Equipment | Power Output | Horsepower |
|---|---|---|
| Lightbulb (LED) | 10 W | ~0.013 hp |
| Human (sustained) | 75 W | 0.1 hp |
| Smartphone charger | 15-20 W | 0.02-0.027 hp |
| Laptop (peak) | 100-200 W | 0.13-0.27 hp |
| Hair dryer | 1,000-2,000 W | 1.3-2.7 hp |
| Small car engine | 75 kW | 100 hp |
| Average car engine | 150 kW | 200 hp |
| Sports car engine | 300 kW | 400+ hp |
| Electric power plant | 1,000 MW | 1.3 billion hp |
Mechanical HP to Watts: W = hp × 745.7
Watts to Mechanical HP: hp = W ÷ 745.7
HP from Torque & RPM: hp = (torque × RPM) ÷ 5,252
Power from Energy: P = E ÷ t (Energy ÷ Time)
Horsepower: unit of power developed by engineer James Watt in late 1700s. Originally compared steam engine power to horses. Now standardized measurement for engines, motors, machinery. Mechanical horsepower: 550 foot-pounds per second ≈ 745.7 watts. Indicates rate at which work is performed. Higher horsepower = faster work completion (performance).
Historical Context:James Watt observed average horse doing useful work: estimated 550 foot-pounds per second. Established horsepower as comparison benchmark. Coal-powered steam engines revolutionized industry. Needed method to compare outputs to horse power (hence the name). Definition stuck despite standardization to watts (SI system). Still used today in automotive, aviation, marine industries.
Why Multiple Horsepower Definitions?:- Mechanical HP: Most common. 550 ft-lbf/s. Standard vehicle/engine specification.
- Metric HP: 75 kgf-m/s (European/metric countries). Slightly less: ~735.5 watts.
- Electrical HP: Exactly 746 watts (SI-based). Electric motor industry standard.
- Boiler HP: Steam generation capacity. Historical, rarely used now.
- Watts: SI (metric) system standard. Universal across all disciplines. No conversion needed internationally.
- Torque: Rotational force. Lb-ft or N-m. How hard engine pushes. Low-end pulling power.
- Horsepower: Rate of power. Work over time. Speed capability. High-end acceleration.
- Power: General rate of work. Can express as HP, watts, or BTU/hour. Fundamental concept.
- Relationship: hp = (torque × RPM) ÷ 5,252. High torque low RPM or low torque high RPM both produce high HP.
- Vehicle Performance: Higher horsepower = faster acceleration/top speed. But must consider weight (power-to-weight ratio).
- Engine Comparison: Standardized metric for comparing different engines. Allows fair performance assessment.
- Equipment Rating: Pumps, compressors, generators rated by horsepower output. Indicates capability.
- Power Consumption: Electrical appliances, industrial equipment. Helps estimate electricity costs.
