Predicting Water Spillage from Inclined Cubical Container

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Discussion Overview

The discussion revolves around predicting whether water will spill from a cubical container that is half full and accelerating uniformly along an incline. Participants explore the conditions under which spillage may occur, considering the geometry of the container and the effects of acceleration.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant asks about predicting water spillage from a cubical container on an incline, noting the angle of the new water level but seeking clarification on the point of intersection.
  • Another participant humorously requests a more vague explanation of the question, indicating some confusion about the original query.
  • A specific scenario is presented involving a cubical container with defined dimensions, half full of water, and accelerated at 4 m/s² on a 15-degree incline, questioning whether spillage will occur.
  • One participant points out that the orientation of the container (long axis vs. short axis pointing uphill) is crucial for determining the outcome, suggesting that this detail may affect the analysis.
  • There is an expectation for participants to show their work or reasoning in order to receive assistance, highlighting the collaborative nature of the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the clarity of the original question and the importance of specific details regarding the container's orientation. The discussion remains unresolved regarding the prediction of water spillage.

Contextual Notes

The discussion lacks specific assumptions about the fluid dynamics involved and does not resolve the mathematical steps necessary to determine the conditions for spillage.

s0ft
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Is it possible to predict whether or not water spills out of a cubical container accelerating uniformly along a specific incline?
I know the expression for the angle the new water level makes with the old one(horizontal).
But how do I know their point of intersection?
Note : Of course the container is not full.
 
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s0ft said:
Is it possible to predict whether or not water spills out of a cubical container accelerating uniformly along a specific incline?
I know the expression for the angle the new water level makes with the old one(horizontal).
But how do I know their point of intersection?
Note : Of course the container is not full.
Could you be a little more vague? I can almost understand what you are asking but if you could just obfuscate the issue a bit more, I could be completely baffled :smile:
 
Ok. The actual question itself then.
An open cubical container with 2.5 m x 1 m base and 2 m height, half full with water is accelerated at 4ms-2 up on a 15 degree incline along its length. Will the water spill?
 
s0ft said:
Ok. The actual question itself then.
An open cubical container with 2.5 m x 1 m base and 2 m height, half full with water is accelerated at 4ms-2 up on a 15 degree incline along its length. Will the water spill?
Indeterminate since you have not specified whether the long axis or short axis is pointing uphill. Don't you think that might matter?

Oh, and by the way, you won't get any help here unless you show some work of your own. I'm just trying to get you to post a question that HAS an answer.

EDIT: DOH ! You DID say "along it's length". I can't read.
 
Last edited:

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