Question
A crane lifts a 450 kg beam 12 m straight up at a constant velocity. Calculate the mechanical work done
by the crane.
by the crane.
Answers
GPT 3.5
To calculate the mechanical work done by the crane, we need to use the formula:
Work = Force x Distance
In this case, the force would be equal to the weight of the beam, which is given by the equation:
Force = Mass x Gravity
where mass is 450 kg and gravity is approximately 9.8 m/s^2.
Force = 450 kg x 9.8 m/s^2 = 4410 N
The distance the beam is lifted is given as 12 m.
Work = Force x Distance = 4410 N x 12 m = 52920 N·m
Therefore, the mechanical work done by the crane is 52920 N·m.
Work = Force x Distance
In this case, the force would be equal to the weight of the beam, which is given by the equation:
Force = Mass x Gravity
where mass is 450 kg and gravity is approximately 9.8 m/s^2.
Force = 450 kg x 9.8 m/s^2 = 4410 N
The distance the beam is lifted is given as 12 m.
Work = Force x Distance = 4410 N x 12 m = 52920 N·m
Therefore, the mechanical work done by the crane is 52920 N·m.
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