Concrete column

The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. It should be lifted by crane to a height of 20m. What is the power of his engine if the lifting takes 2 minutes?

Correct answer:

P =  75.21 kW

Step-by-step explanation:

a=1 m b=0.8 m c=25 m  h=20 m  ρ=2300 kg/m3  V=a b c=1 0.8 25=20 m3 m=ρ V=2300 20=46000 kg  t=2 min s=2 60  s=120 s  g=9.81 m/s2  W=m g h=46000 9.81 20=9025200 J  W=Pt  P1=W/t=9025200/120=75210 W  P=P1 kW=P1:1000  kW=75210:1000  kW=75.21 kW=75.21 kW

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