Determine the net power of a crane knowing that it lifts a 2 ton load to a height of 6 meters in 1 minute.
| February 27, 2021 | education
m = 2 t = 2000 kg.
g = 10 m / s2.
h = 6 m.
t = 1 min = 60 s.
Floor -?
Power is called a scalar physical quantity N, which shows how quickly mechanical work A is performed: N = A / t.
Net power Npol shows how quickly the useful work Apol is performed: Npol = Apol / t.
The useful work of Apol when lifting a load is expressed by the formula: Apol = m * g * h, where m is the mass of the load that was lifted, g is the acceleration of gravity, h is the height of the lifting of the load.
Npol = m * g * h / t.
Npol = 2000 kg * 10 m / s2 * 6 m / 60 s = 2000 W.
Answer: the useful power of the crane is Npol = 2000 W.
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