Elevator Question -- What does a downward acceleration mean?

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Discussion Overview

The discussion revolves around the implications of downward acceleration for an elevator that is moving upward. Participants explore the relationship between acceleration and velocity, particularly in the context of free body diagrams and coordinate system conventions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that a downward acceleration while the elevator is moving upward indicates that the elevator is slowing down.
  • There is a discussion about the choice of coordinate system, with some suggesting that upward should be considered positive for clarity.
  • Others mention that the orientation of the coordinate system can be chosen freely, as long as it is applied consistently.
  • A participant questions whether a downward acceleration of 1.4 m/s² would be represented as -1.4 m/s² in a typical setup where upward is positive.

Areas of Agreement / Disagreement

Participants generally agree on the interpretation of downward acceleration as indicating a decrease in upward velocity. However, there is no consensus on the best convention for defining positive and negative directions in the coordinate system.

Contextual Notes

Some assumptions about the coordinate system and the definition of acceleration may not be explicitly stated, leading to potential variations in interpretation.

jwviviang
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TL;DR
I just have a question (I don't know how to word this summary, sorry)
If an elevator is moving upward, what does a downward acceleration mean? When applying the free body diagram, will the positive direction be upwards since the elevator is moving up?
 
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jwviviang said:
TL;DR Summary: I just have a question (I don't know how to word this summary, sorry)

If an elevator is moving upward, what does a downward acceleration mean?
It means that it is going up, but slowing down. Like it is going up from the lobby and about to stop at some upper floor

jwviviang said:
When applying the free body diagram, will the positive direction be upwards since the elevator is moving up?
In principle you can have up be either positive or negative, whatever you prefer. However, I personally think that having up be negative is confusing, so I would recommend usually choosing up positive.

So your acceleration would be negative and your velocity would be positive.
 
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jwviviang said:
If an elevator is moving upward, what does a downward acceleration mean?
If acceleration has a component opposite to velocity, then the object is slowing down.

jwviviang said:
When applying the free body diagram, will the positive direction be upwards since the elevator is moving up?
You are free to choose the orientation of your coordinate system axes, as long you apply that convention consistently.
 
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A.T. said:
If acceleration has a component opposite to velocity, then the object is slowing down.You are free to choose the orientation of your coordinate system axes, as long you apply that convention consistently.

Dale said:
It means that it is going up, but slowing down. Like it is going up from the lobby and about to stop at some upper floor

In principle you can have up be either positive or negative, whatever you prefer. However, I personally think that having up be negative is confusing, so I would recommend usually choosing up positive.

So your acceleration would be negative and your velocity would be positive.
I see now. So if a question says (for example) "...moving upward elevator...if the elevator has a downward acceleration a = 1.4 m/s^2..." the downward acceleration means a = -1.4 m/s^2?
 
jwviviang said:
I see now. So if a question says (for example) "...moving upward elevator...if the elevator has a downward acceleration a = 1.4 m/s^2..." the downward acceleration means a = -1.4 m/s^2?
Yes, in the usual setup with up being positive.
 

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