Determine the work of a hoist with a power of 2k W, lifting a load at a speed of 4m / s to a height of 5m.
April 30, 2021 | education
| Np = 2 kW = 2000 W.
V = 4 m / s.
g = 10 N / kg.
h = 5 m.
Ap -?
We express the mechanical work of the elevator Ap by the product of the power of the elevator Np by the time of its operation t: Ap = Np * t.
Since the hoist lifts the load evenly, the operating time of the hoist t for lifting the load is expressed by the ratio of the lifting height h to the speed of its movement V: t = h / V.
The mechanical work of the lift Ap will be determined by the formula: Ap = Np * h / V.
Ap = 2000 W * 5 m / 4 m / s = 2500 J.
Answer: the hoist, when lifting the load, performs mechanical work Ap = 2500 J.
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