A 6 kW crane motor evenly lifts a 100kg load to a height of 16m. Determine the lifting time
| April 25, 2021 | education
A 6 kW crane motor evenly lifts a 100kg load to a height of 16m. Determine the lifting time if the crane efficiency is 80%.
Initial data: N (power of the crane motor) = 6 kW (6000 W); the lifting of the load is uniform; m (cargo weight) = 100 kg; h (lifting height) = 16 m; η (crane efficiency) = 80% (0.8).
Reference values: g (acceleration due to gravity) = 9.81 m / s2.
We express the lifting time of the load from the formula for calculating the efficiency: η = Ap / Az = ΔEp / (N * t) = m * g * h / (N * t), whence t = m * g * h / (N * η) …
Calculation: t = 100 * 9.81 * 16 / (6000 * 0.8) = 3.27 s.
Answer: The lifting time is 3.27 s.
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