Problem *3.114[Difficulty: 3]Given:Cylindrical container rotating as in Example 3.10R0.25 m⋅=ho0.3 m⋅=f2Hz⋅=Find:(a) height of free surface at the entrance(b) if solution depends on ρSolution:We will apply the hydrostatics equations to this system.Governing Equations:(Hydrostatic equation)Assumptions:(1) Incompressible fluid(2) Atmospheric pressure acts everywhereIn order to obtain the solution we need an expression for the shape of the free surface in terms of ω, r, and ho. The requiredexpression was derived in Example 3.10. The equation is:zhoωR⋅()22g⋅12
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