BIO 203 Physiology Worksheet Name Pre-Exam Tune-Up 2 Let\'s take a look at blood

Question

BIO 203 Physiology Worksheet Name Pre-Exam Tune-Up 2 Let's take a look at blood flow in a hypothetical vertebrate. Answer the following questions using basic principles presented in class and the data provided here. Be careful with units. 1. Blood flow (as volume flow) in the aorta is 100 mL-min1. In this hypothetical vertebrate, the diameter of the aorta is 1 cm. As you know from class, the aggregate cross-sectional area of the very many capillaries greatly exceeds that of the single aorta. For the organism in this question, this combined cross-sectional area is 785 cm2. What is the linear velocity of blood flow in the aorta (expressed as cm s)? And in a capillary? -1 ENTER THE ANSWERS HERE- Velocity in aorta: cm s Velocity in capillary: cm s um s) (and converting the units for capillary blood velocity

Explanation / Answer

Given that volume flow = 100 ml/min = 100 cm3/60 sec = 1.67 cm3/sec

(d/2)2h = 1.67,

Or, h = 1.67/[(d/2)2] --- Equation 1

Also given that, for aorta, d = 1 and for capillary, d = 785

Solving Equation 1 for the given values of d, we have:

For aorta, h = 2.126 cm/sec

For capillary, h = 3.45 × 10-6 cm/sec

converting to units for capillary blood velocity, h = 3.45 × 10-6 × 108 = 3.45× 102 m/sec

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