The metro escalator lifts 100 passengers to a height of 20 m in 1 min. How many times is the power of an escalator more

| February 26, 2021 | education

The metro escalator lifts 100 passengers to a height of 20 m in 1 min. How many times is the power of an escalator more (or less) than that of a car? Consider that the mass of the passenger is 70 kg, the power of the car is 70 kW

Data: n – the number of lifted passengers (n = 100 passengers); h is the height of the rise of passengers (h = 20 m); t – the duration of the escalator (t = 1 min; in the SI system t = 60 s); mp1 is the accepted mass of each passenger (mp1 = 70 kg); Na is the power of a passenger car (Na = 70 kW = 7 * 10 ^ 4 W).

Const: g – acceleration due to gravity (g ≈ 10 m / s2).

1) The power of the escalator under consideration: Ne = Amech / t = ΔEp / t = mp1 * n * g * h / t = 70 * 100 * 10 * 20/60 = 23333, (3) W.

2) Comparison of capacities: Ne <Na and k = Na / Ne = 7 * 10 ^ 4/23333, (3) = 3 p.

Answer: The power of the escalator under consideration is 23333, (3) W, which is 3 times less than the known power of a passenger car.



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