An electric pump rated at 1000W, takes 16 seconds to pump 100 kg of water out to a tank at a height of 10 m. what is the efficiency of the m

Question

An electric pump rated at 1000W, takes 16 seconds to pump 100 kg of water out to a tank at a height of 10 m. what is the efficiency of the motor?​

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Ngọc Hoa 4 years 2021-08-03T17:10:55+00:00 1 Answers 13 views 0

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  1. kimchi2
    0
    2021-08-03T17:12:06+00:00
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    Answer:

    \boxed{\sf Efficiency \ of \ the \ motor = 62.5 \ \%}

    Given:

    Input Power ( \sf P_i )= 1000 W

    Mass (m) = 100 kg

    Height (h) = 10 m

    Time (t) = 16 s

    To Find:

    Efficiency of the motor

    Explanation:

    \boxed{ \bold{Output \: power \: (P_o)= \frac{mgh}{t}}}

    \sf \implies P_o = \frac{100 \times 10 \times 10}{16}

    \sf \implies P_o = \frac{10000}{16}

    \sf \implies P_o = \frac{ \cancel{16} \times 625}{ \cancel{16}}

    \sf \implies P_o = 625 \: W

    \boxed{ \bold{Efficiency = \frac{Output \ Power \ (P_o)}{Input \ Power \ (P_i) } \times 100}}

    \sf \implies Efficiency = \frac{625}{10 \cancel{00}} \times \cancel{100}

    \sf \implies Efficiency = \frac{625}{10}

    \sf \implies Efficiency = 62.5 \: \%

    \therefore

    Efficiency of the motor = 62.5 %

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