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Does the acceleration of a U-tube change the liquid surface elevation in one leg relative to that in the other?

Does the acceleration of a U-tube change the liquid surface elevation in one leg relative to that in the other?

Grade:9

2 Answers

Arun
25763 Points
11 months ago
change in pressure in x direction similar to in Y direction
PA=0
PB=fa0L
So,
Height of liquid in B=fgH=PB
=fgH=fa0L
H=ga0L
Vikas TU
14149 Points
11 months ago
When any liquid is accelerated with an acceleration, then the pressure difference is given by the Formula,
 P₂ - P₁ = ρla
where ρ is the density of the fluid, and l is the distance between two vertical limbs of the container and a is the acceleration.
Therefore, In the Given case,
   P₂ - P₁ = ρla₀    [∵ a₀ is the acceleration is horizontal direction.]
Now, We know, Pressure difference has one more formula,
P₂ - P₁ = hρg
where ρ is the density of the fluid and h is the height difference between a pressure P₂ and Pressure P₁.
Equation both the equation,
   hρg = ρla₀
   hg = la₀
∴ h = la₀/g

Hence, the difference in heights of the liquid in two arms is la₀/g.

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