A crane lifts a load of 15000N to a height 40m in 50 seconds. Calculate the power of the crane​

Question

A crane lifts a load of 15000N to a height 40m in 50 seconds. Calculate the power of the crane​

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Kiệt Gia 5 years 2021-08-01T04:59:55+00:00 1 Answers 18 views 0

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  1. Sapo1
    0
    2021-08-01T05:01:48+00:00
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    Answer:

    P = 12000 W

    Explanation:

    General data:

    • F = 15000 N
    • d = 40 m
    • t = 50 s
    • P = ?

    Work is force times unit of distance. So in order to calculate the power we must first calculate the work.

    Formula:

    • \boxed{\bold{W=\frac{F}{d}}}

    Replace and solve

    • \boxed{\bold{W=\frac{15000\ N}{40\ m}}}
    • \boxed{\bold{W=600000\ J}}

    once the work is found, we proceed to find the power according to the formula:

    • \boxed{\bold{P=\frac{W}{t}}}
    • \boxed{\bold{P=\frac{600000\ J}{50\ s}}}
    • \boxed{\boxed{\bold{P=12000\ W}}}

    The power of the crane is 12000 Watts.

    Greetings.

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