History Bookmarks Window Help blackboard.angelo.edu LL:Fundamentals of Physics 1

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History Bookmarks Window Help blackboard.angelo.edu LL:Fundamentals of Physics 1 https://blackboard.angelo.edu/bbcswebdav/pid-1524396-dt-content-rid- Physics 2425: Homework 26 The approximate diameter of an aorta is 0.50 cm and that ofa capillary is 10 m. If blood moves at 1.0 m/s in the aorta, what is its speed in a capillary? 1 . 2. What is the velocity of water flowing from the tube shown? The piston is massless but has a 500kg mass placed on top. The diameter of the piston is 50cm. kg 3.0 m water

Explanation / Answer

1)

let the speed of the capillary is v1

v2 = 1 m/s

r1 = 10/2 = 5 um

r2 = 0.50/2 = 0.25 cm

Using Equation of continuity

v1 * pi * r1^2 = v2 * pi * r2^2

v1 * pi * (5 *10^-6)^2 = 1* pi * (0.25 *10^-2)^2

solving for v1

v1 = 2.5 *10^5 m/s

the speed of the blood is capillary is 2.5 *10^5 m/s

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