Question

An elevator weighing 565kg lifts a 250 lbm crate from the ground floor of a building to a floor 918 ft higher (roughly the height of the top floor in the Bank of America building in midtown Atlanta). What is the minimum amount of energy required to accomplish this. Give the answer in both ft-lbf and J. Also, if the elevator requires 30. seconds to make the trip, what is the average power requirement

Answer 1

Weight of the elevator

Weight of the crate

Total weight, Weight of the elevator + Weight of the crate

Height to which the crate is lifted,

The energy required to lift 678.398 kg is, , where is the acceleration due to gravity.

.

If the time taken by the elevator to lift the crate to height feet is, then,

Average power required to do this is,