Predicting Water Spillage from Inclined Cubical Container

[s0ft]

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.

 

[phinds]

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

 

[s0ft]

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?

 

[phinds]

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.

 

[alphy]

I can say that it is possible to predict whether or not water will spill out of a cubical container accelerating uniformly along a specific incline. This can be done by using mathematical equations and principles of fluid mechanics. The expression for the angle the new water level makes with the old one (horizontal) can be calculated using the law of cosines. However, determining the point of intersection between the new and old water levels may require further analysis and experimental data. Factors such as the initial volume of water in the container, the shape and size of the container, and the rate of acceleration must also be taken into account. Further research and experimentation may be necessary to accurately predict the point of intersection and whether or not water will spill out of the container.