# ps2sol - Homework 2 Solutions A 1.83 Consider a force...

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Homework 2 Solutions October 10, 2007 A 1.83 Consider a force balance in the x direction of a cylindrical section of jet: D = 12 mm F W = force on ﬂat face in positive x direction due to other half of cylinder = Δ pA = Δ plD F T = force in negative x direction due to surface tension on sides of cylinder = σ w (2 l ) * We neglect surface tension on the top and bottom edges under the assumption that the jet is long ( l >> D ). Δ pA = 2 w Δ p = 2 σ w D = (2)(0 . 078 N/m) 0 . 012 m = 12 . 1 Pa 1

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1.86 Consider a force balance in the z direction of a steel rod ﬂoating on the surface: F W = force in the negative z direction due to weight of rod = γ steel V rod = γ steel ( lπD 2 4 ) F T = force in the positive z direction due to surface tension = σ W (2 l ) * Assume again that l >> D and neglect surface tension at the ends of the rod. σ w (2 l ) = γ steel lπD 2 4 D = q 8 σ w γ steel π = 0 . 0051 ft = 0 . 061 in 2.13 The pipes are horizontal and the ﬂuid in them is continuous, so we expect the average pressure at either piston to be the same.
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ps2sol - Homework 2 Solutions A 1.83 Consider a force...

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