Elevator Acceleration Question

In summary, the conversation discusses the calculation of the maximum acceleration of an elevator in the Empire State Building. The question asked about the maximum acceleration upward and the maximum magnitude of the acceleration downward. The person asking the question also shares their current calculation and asks for help in finding where they went wrong. The conversation concludes with a discussion about the relationship between Fnet, ma, and Fweight.
  • #1
pdonovan
17
0
Question:
You've always wondered about the acceleration of the elevators in the 101-story-tall Empire State Building. One day, while visiting New York, you take your bathroom scale into the elevator and stand on it. The scale reads 150 lbs as the door closes. The reading varies between 120 lbs and 170 lbs as the elevator travels 101 floors.

a.)What is the maximium acceleration upward?
b.)What is the maximium magnitude of the acceleration downward?


I used the formula Fnet = N - Fg and still cannot get the correct answer.
I currently have ma = N - mg where m = 77.11kg, N = 756N, and g = 9.8.
So, 77.11a = 756 - 77.11(9.8)

Where did I go wrong?
Thank you for any help!
 
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  • #2
Well, you know what the Fnet is.

If your just standing on the ground not moving, it's just your weight (well, it's zero if you count the ground pushing back up on you).

Bottom line is the scale is going to show the net downward force you exert on it. So you may want to set it up
Fnet = m*a + Fweight
 
  • #3
How can Fnet = ma + Fweight when Fnet = ma?
 

1. How does the acceleration of an elevator affect the passengers?

The acceleration of an elevator can affect passengers by creating a feeling of weightlessness or dizziness as the elevator moves up or down.

2. How does the acceleration of an elevator impact the journey?

The acceleration of an elevator determines how fast it will reach a certain floor. A higher acceleration will result in a quicker journey, while a lower acceleration will result in a slower journey.

3. Is there a limit to the acceleration of an elevator?

Yes, there is a limit to the acceleration of an elevator. This limit is determined by the maximum safe acceleration for the elevator's components and the comfort level for passengers.

4. How is acceleration calculated in an elevator?

Acceleration in an elevator is calculated by dividing the change in velocity by the time it takes for the change to occur. This can be expressed as a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time.

5. Can the acceleration of an elevator be felt by passengers?

Yes, the acceleration of an elevator can be felt by passengers, especially if it is a sudden or drastic change in acceleration. This sensation is often described as a "lurch" or a feeling of being pushed or pulled in a certain direction.

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