Lesson 10 of 15

Power

Power

Power is the rate at which work is done — energy transferred per unit time:

P=WtP = \frac{W}{t}

Units: Watts (W=J/s\text{W} = \text{J/s}). One watt is one joule delivered per second.

Alternative Forms

Since W=FdW = F \cdot d and v=d/tv = d/t:

P=FvP = F \cdot v

Power equals force times velocity — useful for engines and motors.

Common Powers

SourcePower
Human at rest (basal)~80 W
Cyclist (racing)~400 W
Car engine~100,000 W (100 kW)
Large wind turbine~5,000,000 W (5 MW)

Horsepower

1 horsepower (hp) \approx 746 W. A 100 hp engine \approx 74.6 kW.

Examples

Work (J)Time (s)Power (W)
100010100.0
5005100.0
360036001.0 (1 Wh in 1 h)
750017500.0

Your Task

Implement power(W, t) returning power in Watts.

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