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 :)