Work and Power Calculator
Calculate work, power, time relationships and mechanical energy
Work and Power Calculator
Calculation Results
Formula Used: P = W / t (Power = Work / Time)
Example Calculations
Lifting a Box
Work: 500 J (lifting 50 N box 10 m high)
Time: 10 s
Power: P = 500 J ÷ 10 s = 50 W
Electric Motor
1. Motor power: 1500 W, Running time: 3600 s (1 hour)
2. Work done: W = 1500 W × 3600 s = 5,400,000 J
3. Energy: 5.4 MJ or 1.5 kWh
Key Formulas
Power Ranges
Common Conversions
1 hp = 745.7 W
1 kWh = 3,600,000 J
1 cal = 4.184 J
Power = Energy / Time
Understanding Work and Power
What is Work?
In physics, work is the amount of energy transferred to or from an object by applying a force along a displacement. Work is done when a force causes an object to move in the direction of the force. It's measured in Joules (J).
Work Formula
- •W = F × d × cos(θ) - Basic work equation
- •W: Work done (Joules)
- •F: Applied force (Newtons)
- •d: Displacement (meters)
- •θ: Angle between force and displacement
What is Power?
Power Definition: Rate of doing work or energy transfer per unit time
Formula: P = W / t (Power = Work / Time)
Units: Watts (W) = Joules per second (J/s)
Power Characteristics
- Higher Power: More work done in less time
- Lower Power: Same work done over longer time
- Efficiency: Ratio of useful power output to total power input
- Mechanical vs Electrical: Different forms of power conversion
Work-Power Relationship
- •Work: Total energy transferred (J)
- •Power: Rate of energy transfer (J/s or W)
- •Time: Duration of energy transfer (s)
- •Energy: Work and energy have same units
Real-World Applications
- •Electric Motors: Convert electrical to mechanical power
- •Human Power: ~100 W average, ~1000 W peak
- •Household: Appliances rated in watts
- •Vehicles: Engine power in horsepower or kW