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11 May, 19:24

Calculate the power of the elevator if it can raise 290 kg of mass 30 flights of stairs (300 m) in 17 seconds

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  1. 11 May, 21:00
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    Power = 50204 [watts]

    Explanation:

    We know that the power is defined by the following expression:

    Power = Work/time

    where:

    Power [watts]

    time [seconds]

    The work done will be the following:

    Work = Force * distance [Joules]

    Force[Newtons]

    distance[meters]

    Force = mass * gravity

    Force=290 [kg]*9.81[m/s^2] = 2844.9[N]

    Work = 2844.9[N]*300[m] = 853470[J]

    Therefore

    Power = 853470 / 17 = 50204 [watts]
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