# HW 1 - rectangular tank is at z = 0 and the interfaces...

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8/31/09 Professor Philip S. Marcus ME106 Homework Problem 1 - statics Do Probems in Chapter 2: 2.4, 2.6, 2.9, 2.32, 2.37, 2.38, and 2.41. The accompanying Fgure shows an apparatus much like the one discussed in class on Wednesday September 2. It is a Fsh tank with a lid in which two columns poke through the lid. The top of each column is vented to the ambient atmosphere with pressure P atm . There are three, immiscible ±uids in the tank, each with its own density, such that ρ 1 > ρ 2 and ρ 1 > ρ 3 . The volumes occupied by the three ±uids are V 1 , V 2 and V 3 , respectively. The bottom of the tank is at z = z B , the top of the

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Unformatted text preview: rectangular tank is at z = 0, and the interfaces between the ±uids and the heights of the ±uids in the columns are as marked on the Fgure. The cross-sectional area of the bottom of the tank is a . The di²erence between this problem and the one we worked out in class is that the cross-sectional area of the column on the left is A and on the right is 2 A . ³ind the values of z 1 , z 2 , z 3 , and z 4 . What is the pressure P in the ±uid on the right-hand column at height z = ( z 1 + z 3 ) / 2? Be clever and minimize the algebra. 1...
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HW 1 - rectangular tank is at z = 0 and the interfaces...

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