What Does g Represent in the Fluid Mechanics Equation P = Patm + pgh?

AI Thread Summary
In the fluid mechanics equation P = Patm + pgh, "g" represents the gravitational acceleration, which is approximately 9.81 m/s² directed towards the ground. The discussion also clarifies that in the equation F_b = pVg, "V" stands for volume, particularly relevant for calculating buoyancy. The variable "p" is identified as density, not momentum, confirming that the right-hand side of the equation can be expressed as mg when volume is considered. The conversation emphasizes that these concepts are foundational in fluid mechanics and should be addressed in introductory physics courses. Overall, the participants aim to clarify these fundamental principles for better understanding.
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In the equation

P = P *sub*atm + pgh

what is the "g"?

gravity due to earth??
 
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Yes, it is the gravitational acceleration experienced by the fluid (9.81 m/s^2 towards the ground).
 
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THANK YOU SOO MUCH!
now i can finish my problem.

one more though...

in this equation for fluid mechanics...

F*sub*b = pVg

Is the V for volume? becuase I'm given the dimensions of a box floating on water and I have to figure out how much of it is under water
 
Having not done fluid mechanics the F_b may indicate to me the buoyancy or something? Maybe V is viscosity?

Is your p for momentum, or really a rho, for density? if so, the RHS of your equation can become mg, if v is volume.

But yea, really, this should be in Introductory Physics or something, not precalc math. And why does your title refer to arildno, he's not the only person who tries to help you know :P
 
V is most likely volume, so that Fb is the buoyancy force.
In the future, please do not refer to specific members in your title.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks

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