What is the mass of the load that the crane lifts to a height of 15 meters, in a time equal to 2 minutes
| February 6, 2021 | education
What is the mass of the load that the crane lifts to a height of 15 meters, in a time equal to 2 minutes, if its useful power is 15 kW.
Given: h (height of the crane lifting the load) = 15 m; t (operating time of the crane) = 2 min (in SI t = 120 s); Np (useful power) = 15 kW (15 * 10 ^ 3 W).
Constants: g (acceleration due to gravity) ≈ 10 m / s2.
We express the mass of the load that the crane will lift in 2 minutes from the formula: Nп = Aп / t = m * g * h / t, whence m = Nп * t / (g * h).
Calculation: m = 15 * 10 ^ 3 * 120 / (10 * 15) = 12 * 10 ^ 3 kg (12 tons).
Answer: The crane will lift a load weighing 12 tons in 2 minutes.
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