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A 4 kW vacuum cleaner is powered by an electric motor whose efficiency is 90%. (Note that the electric motor delivers 4 W of net mechanical power to the fan of the cleaner). What is rate at which this vacuum cleaner supplies energy to the room when running

1 Answer

5 votes

Answer:
3.6\ kW

Step-by-step explanation:

Given

Power Supplied
[tex]P_(input)=4\ kW[/tex]

Efficiency of the motor
\\eta =90\%

and
\\eta =\frac{\text{Power output}}{\text{Power input}}


\Rightarrow 0.9=(P_(out))/(4)


\Rightarrow P=0.9* 4


\Rightarrow P=3.6\ kW

So, vacuum cleaner delivers a power of
3.6\ kW

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