Blood Flow As blood moves through a vein or an artery, itsvelocity is greatest along the

Chapter 2, Problem 83

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Blood Flow As blood moves through a vein or an artery, itsvelocity is greatest along the central axis and decreases asthe distance r from the central axis increases (see the figure).The formula that gives as a function of r is called the lawof laminar flow. For an artery with radius 0.5 cm, the relationshipbetween (in cm/s) and r (in cm) is given by thefunction1r2 18,50010.25 r 2 2 0 r 0.5(a) Find 10.12 and 10.42 .(b) What do your answers to part (a) tell you about the flowof blood in this artery?(c) Make a table of values of 1r2 for r 0, 0.1, 0.2, 0.3,0.4, 0.5.(d) Find the net change in the velocity as r changes from0.1 cm to 0.5 cm.