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

Question

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

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Gia Bảo 4 years 2021-09-02T21:00:52+00:00 1 Answers 10 views 0

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  1. nguyetanh
    0
    2021-09-02T21:02:13+00:00
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    Answer:3.6\ kW

    Explanation:

    Given

    Power Supplied [tex]P_{input}=4\ kW[/tex]

    Efficiency of the motor \neta =90\%

    and \neta =\dfrac{\text{Power output}}{\text{Power input}}

    \Rightarrow 0.9=\dfrac{P_{out}}{4}

    \Rightarrow P=0.9\times 4

    \Rightarrow P=3.6\ kW

    So, vacuum cleaner delivers a power of 3.6\ kW

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