Power Measurement

  • Man is a thermodynamic machine, so we can designate its power as any device.
    In the past, power has been expressed in various units, mechanical horses have been used in the automotive industry to this day.

    In the 19th century in Germany, like the steam horse (HP) used in Anglo-Saxon countries for comparing the power of steam engines with a horse. A 3 hp steam engine can give approximately the same power as one working horse. The 3/1 converter comes from the fact that the 3 hp engine could be replaced by 3 horses working all day in 8 hour changes, and this description of the engine power was to facilitate calculations for investors wanting to replace horses by a steam engine. Thus, the power of 3 HP is the gross power given back by 1 horse, bypassing losses.

    Colloquially, mechanical horses are understood as British steam horses (HP) (unit translates as horsepower in English)

    1 horse corresponds to the horse's work necessary to raise the weight of 75 kg to a height of one meter in one second.

    Based on the written definition, we will determine the human power.

    In the experiment, we will use a staircase. The relative height that the students overcome was determined by means of the lowered measuring tape. According to our measurements, it is h = 5.72 m.

    To know the mass of individual students and the change in height, we can calculate the change in potential energy from the formula

    Ep = m*g*h  (J)

    Data

    lp Name mass m(kg) height  h(m) Potential energy of gravity Ep(J)
     1    Alicja 64 5,72 3591,24
     2   David 61 5,72 3422,91
     3   Nuria 64,2 5,72 3602,47
     4  Ferran 61,2 5,72 3434,13

     

    We measured the time in which the energy change occurred and we calculated the power of individual people using the definition of power

    P = W/t 

    Table with calculation results

    lp Name time t(s) power P(W) power  P(KM)
    1 Alicja 11,68 307,47 0,418
    2 David 8,40 407,49 0,554
    3 Nuria 11,06 325,72 0,443
    4 Ferran 9,56 359,22 0,488

    Movie from measurements

    and the fastest runer :)