Power Required to Move Elevator Cab in NY Marriott Marquis

Remember, the mass is not changing, only the velocity.Also, don't forget to convert the velocity from m/s to m/s in your final answer.In summary, the power required to move the elevator cab upward at full load at 3.57 m/s is 5057.5 kW, calculated using the formula P=(1/2mv^2)/Δt, where m is the combined mass of the cab and payload and v is the velocity. The mistake in the original calculation was squaring the mass instead of the velocity, and the final answer should be converted to kW.
  • #1
goluigi2196
20
0
1. An elevator cab in the New York Marriott Marquis has a mass of 4.15 x 103 kg and can carry a maximum load of 1.80 x 103 kg. If the cab is moving upward at full load at 3.57 m/s, what power is required of the force moving the cab to maintain that in kilowatts?W=Work P=Power t=Time F=Force d=distance g=gravity K=Kinetic Energy

Homework Equations


P=W/Δt
W=ΔK

therefore...
P=(1/2mv2)/Δt

The Attempt at a Solution


P=(1/2(4150+1800)2)/3.57

it's 4150+1800 because full load is 1800 kg and the elevator is 4150 kg.

solve for P and you get 5057500 W or 5057.5 kW

it says I'm wrong. What did I do wrong?EDIT

wow. fail. i forgot that it is divided by time, not velocity -_-
 
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  • #2
Hint: Another formula for power uses force and velocity.
 
  • #3
It also didn't help that you squared the mass of the elevator cab and the payload in your original calculation.
 

Related to Power Required to Move Elevator Cab in NY Marriott Marquis

What is the average power required to move an elevator cab in NY Marriott Marquis?

The average power required to move an elevator cab in NY Marriott Marquis varies depending on factors such as the weight of the cab, the height it needs to travel, and the speed at which it moves. However, on average, an elevator cab in a high-rise building like NY Marriott Marquis requires around 10-15 horsepower (or 7.5-11 kilowatts) of power.

How is the power required to move an elevator cab calculated?

The power required to move an elevator cab is calculated using the following formula: Power (in horsepower) = (Weight of cab in pounds x Height of travel in feet x Speed in feet per minute) / 33,000. This formula takes into account the work required to lift the weight of the cab to a certain height at a certain speed.

What factors affect the power required to move an elevator cab?

The power required to move an elevator cab is affected by several factors, including the weight of the cab, the height it needs to travel, the speed at which it moves, the friction and resistance of the elevator system, and the efficiency of the motor. The weight of the cab and the height it needs to travel have the most significant impact on the power required.

How does the power required to move an elevator cab in NY Marriott Marquis compare to other buildings?

The power required to move an elevator cab in NY Marriott Marquis is similar to that of other high-rise buildings. However, it may vary slightly depending on the specific design and efficiency of the elevator system in each building. Generally, the taller the building and the heavier the cab, the more power is required to move it.

How can the power required to move an elevator cab be reduced?

The power required to move an elevator cab can be reduced by implementing energy-efficient systems and technologies, such as regenerative drives, which capture and reuse energy that would otherwise be lost during the descent of the cab. Regular maintenance and modernization of elevator systems can also help reduce the power required to move the cab.

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