An elevator lifted total mass of 1100kg a distance on 40m in 12.5s. How much power does the elevator consume?
To calculate the power consumed by the elevator, we can use the formula:
Power = Work done / Time taken
First, let's calculate the work done by the elevator:
Work = Force x Distance
The force required to lift the elevator is equal to the weight of the elevator, which can be calculated using the formula:
Weight = Mass x Acceleration due to gravity
Given that the total mass lifted by the elevator is 1100kg, and the acceleration due to gravity is 9.8 m/s^2, we can calculate the weight of the elevator:
Weight = 1100kg x 9.8 m/s^2
Weight = 10780 N
Now, we can calculate the work done by the elevator:
Work = Force x Distance
Work = 10780 N x 40m
Work = 431200 J
Next, we can calculate the power consumed by the elevator:
Power = Work done / Time taken
Power = 431200 J / 12.5s
Power = 34576 W
Therefore, the elevator consumed 34576 Watts of power.