An ideal liquid with density ρ is poured into a cylindrical vessel with cross section A1 to a level of height h from the bottom, which has an opening of cross section A2. Find the time it takes for the liquid to flow out
Stacey Warren - Expert brainly.com
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quick analysis shows there's no need for the density
If you could, do try to keep physics questions in the physics group. You can use chat to get people to come to that group if you're not getting traction there :)
You need to say that you use the 'dimensional analysis' ....
It's just about getting the units of time (the unknown) equal to the units on the right side.
So all the 'meters' on the right hand side should add up to 0.
This is a tool to find a relation that COULD fullfill the requirements.
The problem consists of density, h, A1, A2 and gravity g.
Now you just write your solution in the form:
t = rho^a*h^b*A1^c*A2^d*g^e
You see that the only time dependent variable is g. So g should be (m/s^2) to the power of -1/2 to obtain seconds. The other variables like meter work in the same way, try to get rid of all of them by making a couple of easy assumptions
I don't know how to make valid assumptions though :(