Power⚠ unverified
Physics / Mechanics · Compute average power as work per unit time
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| work | work | J | 1.0 | Work done or energy transferred |
| time | time | s | 1.0 | Time interval over which the work is done |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | P | W | Average power, in watts (W) |
The science & history
Understanding the Parameters
- $W$ — total work (see Work Constant Force); can come from force×distance or energy changes.
- $t$ — shorter time for the same work means higher power (engines, actuators rated by power).
- $P$ — rate of energy transfer. Related form: $P = F v$ when force and velocity are collinear (Power From Force Velocity).
Derivation (Approaching a Proof)
Power is defined as the time rate of work (or energy transfer):
$$P = \frac{dW}{dt}.$$
For constant power over an interval, $W = P t$, so $P = W/t$. Connecting to mechanics: $dW = \mathbf{F}\cdot d\mathbf{r}$ ⇒ $P = \mathbf{F}\cdot\mathbf{v}$.
History
James Watt popularised power as a practical engine metric (horsepower); the SI watt honours him. Mechanical $P = W/t$ and electrical $P = VI$ share the same unit by design of the SI.
Related Concepts: Work Constant Force, Power From Force Velocity, Kinetic Energy, Watt's Law, Motor Power
Notes: Registry calculator power (unverified). Average power for constant work rate. Distinct
from electrical cards named Power Factor, Motor Power, etc.