Problem 3.120 - Problem *3.120 [Difficulty: 2] = 1000 s-1...

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Problem *3.120 [Difficulty: 2] ω = 1000 s -1 r 2 r 1 = 50 mm r 1 r 2 = 130 mm ρ Given: Test tube with water Find: (a) Radial acceleration (b) Radial pressure gradient (c) Rotational speed needed to generate 250 MPa pressure at the bottom of the tube Solution: We will apply the hydrostatics equations to this system. a g p G G ρ = + Governing Equations: (Hydrostatic equation) r r a g r p = + (Hydrostatic equation in radial direction) Assumptions: (1) Incompressible fluid (2) Rigid body motion (3) Radial direction is horizontal For rigid body motion: a r V 2 r = r ω () 2 r = r ω 2 = a r r ω 2 = 2 ω r r p = In addition, since r is horizontal: g r 0 = Thus, the hydrostatic equation becomes:
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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