ENGG 2230 Lecture : Ch 3 Solutions.pdf

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P3. 1 discuss newton"s second law (the linear momentum relation) in these three forms: Solution: these questions are just to get the students thinking about the basic laws of mechanics. P3. 2 consider the angular-momentum relation in the form r v d dt system d. Is it related to the linear-momentum equation (prob. Solution: these questions are just to get the students thinking about angular momentum versus linear momentum. One might forget that r is the position vector from the moment-center o to the elements d where momentum is being summed. P3. 3 for steady laminar flow through a long tube (see prob. 1. 12), the axial velocity distribution is given by u c(r2 r2), where r is the tube outer radius and c is a constant. Integrate u(r) to find the total volume flow q through the tube. Solution: the area element for this axisymmetric flow is da 2 r dr. from eq. (3. 7),

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