Here are two ways to see it 1 since the amount of uid

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Unformatted text preview: te is the same as in a). Here are two ways to see it: 1) Since the amount of fluid coming in from the left side of the pipe remains the same, the amount that comes out from the right side should also be unchanged regardless of the shape of the cut. (Conservation of mass, with constant density) 2) Consider a slanted column of fluid of area Aθ and width v , as shown in the part (b) of figure above. This is the amount of liquid that will flow through Aθ in 1 second. The volume of this liquid is vAθ cos θ (area time the height perpendicular to area). Note that Aθ = A/ cos θ. This is easy to see if the pipe had an rectangular cr...
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This homework help was uploaded on 02/16/2014 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell University (Engineering School).

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