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Unformatted text preview: of the blood as it travels through a vessel is R = K L r 4 where r and L are the radius and length of the vessel respectively, and K is a constant that reects the viscosity of the blood. Suppose K = 1 . Show that the total resistance of the blood traveling from A to B to C is R ( ) = 16 9 [ 2-cot( ) ] + 9 csc( ) in the case of the vessels shown below. Use a calculator to nd the value of the resistence when has the values 1 , 1 . 2 , 1 . 3 , 1 . 4 , 1 . 5 radians. = 1 = 1 . 2 = 1 . 3 = 1 . 4 = 1 . 5 Resistance R ( ) Which of those angles produce the lowest resistence? What is its degree measure? Where would point B lie in that case? Later in the semester, we will be able to calculate the exact angle that minimizes the resistence in this case and a law for two vessels in general....
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- Spring '08