Hydrostatics- rearranging formula

  • Thread starter livstudent
  • Start date
  • #1

Homework Statement



Derive an equation for the pressure difference p – B in terms of ρM, ρ, L, θ, a, A
and the acceleration due to gravity g

Homework Equations



(LHS p')= B+(ρm)g(Lsinθ+h+Δ) = (RHS p') P+ρg(Lsinθ+H)

Δ=delta = La/A

a= area of tube, A= area of reservoir

h= ρH/ρm


The Attempt at a Solution



P-B= ρmg(Lsinθ+(ρH/ρm)+(La/A)) - ρg(Lsinθ+H)

= (ρm-ρ)g(Lsinθ)+ (Lsinθ+(ρ/ρm)+(La/A)

I was just wondering if this is the correct formula for P-B
 

Answers and Replies

  • #2
1,198
5
A sketch or more of a description of the problem would be helpful here.
 

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