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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    2021-08-03T17:12:06+00:00

    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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