A 120-MT concrete beam is lifted from the floor by two tandem heavy lift cranes up to a
target height of 7.5 meters.
Calculate the work done by each crane to lift the beam up to 9 meters given that they are
synchronized and were able to divide the load equally
To calculate the work done by each crane, we need to know the formula for work:
Work = force x distance
Since the two cranes are synchronized and able to divide the load equally, each crane will lift half of the total weight.
Weight of the concrete beam = 120 MT
Weight of beam lifted by each crane = 120 MT / 2 = 60 MT = 60,000 kg
Now, we need to calculate the force exerted by each crane. We can use the formula:
Force = mass x acceleration due to gravity
Mass = 60,000 kg
Acceleration due to gravity = 9.8 m/s^2
Force exerted by each crane = 60,000 kg x 9.8 m/s^2 = 588,000 N
Next, we need to calculate the distance each crane lifts the beam. The beam is initially lifted from the floor to a height of 7.5 meters, so the distance each crane lifts the beam is:
Distance = 9 m - 7.5 m = 1.5 m
Finally, we can calculate the work done by each crane:
Work = Force x Distance
Work done by each crane = 588,000 N x 1.5 m = 882,000 N-m = 882 kJ
Therefore, each crane does 882 kJ of work to lift the beam up to 9 meters.