Power Calculator
Calculate power from work and time, or force and velocity. Use formulas P = W/t or P = Fv.
About this calculator
Power is the rate at which work gets done or energy gets transferred, and this calculator supports two equivalent physics formulas for finding it. The primary method, P = W/t, divides work in Joules by the time in seconds it took to perform that work -- doubling the work while holding time fixed doubles the power, and doubling the time while holding work fixed halves it, since power is directly proportional to work and inversely proportional to time. The alternative method, P = Fv, multiplies force in Newtons by velocity in meters per second, which is the more natural framing when you know how hard something is pushing and how fast it's moving rather than a total energy figure -- lifting a known weight at a steady speed, for instance, is easier to describe as force times velocity than as work over time.
This calculator checks Work and Time first: whenever both are greater than zero, it uses P = W/t and the Force/Velocity fields (both zero by default, listed under advanced settings) have no effect on the result at all, since the work/time path takes priority. Only when Work or Time is left at zero does the calculator fall back to the force/velocity formula. The result is reported in both Watts (the SI unit, one Joule per second) and horsepower (dividing by 745.7 W per horsepower), since horsepower remains the more intuitive unit for motor and engine sizing in many practical contexts.
Inputs
Results
Power
100 W
≈ 10 LED bulbs
How to Use This Calculator
- Enter work done (J) and time elapsed (s) to calculate power, or enter force (N) and velocity (m/s).
- Review power in watts (W = J/s) and in horsepower.
- Convert watts to kilowatts (divide by 1000) or to kWh (multiply by hours) for energy calculations.
- Use for motor sizing, engine performance analysis, and energy consumption estimates.
How the result changes with Time
| Time | Power |
|---|---|
| 5 | 200 W |
| 7.5 | 133.33 W |
| 15 | 66.67 W |
| 25 | 40 W |
What each input means
- Work
- Work done in Joules.
- Time
- Time taken in seconds.
- Force (Alternative)
- Force in Newtons (alternative calculation).
- Velocity (Alternative)
- Velocity in m/s (alternative calculation).
How this is calculated
Formula
P = W/t or P = FvWorked example, using the default values
- Identify Input Parameters4 parametersWork = 1000, Time = 10, Force (Alternative) = 0, Velocity (Alternative) = 0 = 4 input(s) provided
- Calculate PowerPower100 = 100
- Calculate PowerPower0.134 = 0.134
Engine last updated . Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why doesn't changing Force or Velocity affect the Power result at this calculator's default values?
The calculator checks Work and Time first, and whenever both are greater than zero -- which they are at the default Work=1000 J and Time=10 s -- it computes power as P = W/t and never even evaluates the Force/Velocity formula. To use the force-and-velocity method instead, set Work to zero so the calculator falls back to P = Fv -- Time can't reach zero through this input (it has a 0.001 s floor, since dividing by an actual zero time isn't physically meaningful), so Work is the only field that can trigger the fallback.
How does doubling the time taken to do the same amount of work change the power?
Power is inversely proportional to time in the P = W/t formula, so doubling the time while holding work fixed exactly halves the calculated power -- the same amount of energy transferred more slowly represents a lower rate of doing work, which is precisely what power measures.
What is the practical difference between using P = W/t versus P = Fv for the same physical system?
Both describe the identical physical quantity and will agree when applied correctly to the same scenario, but they're natural for different kinds of information: W/t suits situations where you know total energy and elapsed time (like an electric bill), while Fv suits situations where you know an applied force and a steady speed (like a motor driving a conveyor at constant velocity).
Why does the calculator report Power in both watts and horsepower?
Watts is the SI unit and the one physics formulas are defined in, but horsepower (1 HP = 745.7 W) remains the standard unit for describing motor, engine, and pump output in many industries, so this calculator converts automatically rather than requiring a separate lookup -- the horsepower figure is simply the watts result divided by 745.7.
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