{{tag>conversion power energy chapter1_1}} {{include_n>100}} #@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Conversion: Vacuum Cleaner #@TaskText_HTML@# Your $18~{\rm V}$ vacuum cleaner is equipped with a $4.0~{\rm Ah}$ battery, it runs $15~{\rm minutes}$. \\ How much electrical power is consumed by the motor during this time on average? #@PathBegin_HTML~1~@# \begin{align*} W &= 18~{\rm V} \cdot 4.0~{\rm Ah} = 72~{\rm Wh} \\ \\ t &= 15~{\rm min} = 0.25~{\rm h} \\ \\ P &= {{W } \over {t }} \\ &= {{72~\rm Wh} \over {0.25~\rm h }} = 288~{\rm W} \end{align*} #@PathEnd_HTML@# #@ResultBegin_HTML~1~@# \begin{align*} 288~{\rm W} \end{align*} #@ResultEnd_HTML@# #@TaskEnd_HTML@#