# An electric fan has a power output of 60 W. How much work is done if the fan operates for 120 s?

Jun 3, 2016

$7000 J$

#### Explanation:

Recall the formula for power:

$\textcolor{b l u e}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} P = \frac{W}{\Delta t} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\underline{\text{where}}$:
$P =$power
$W =$work
$\Delta t =$change in time

To determine the work done, you need to rearrange the formula and solve for $W$.

Rearranging the formula,

$W = P \Delta t$

Plug in the values.

$W = \left(60 W\right) \left(120 s\right)$

Solve.

$W = 7200 J$

Accounting for the appropriate number of significant digits,

$W \approx \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} 7000 J \textcolor{w h i t e}{\frac{a}{a}} |}}}$