It is a fact that blood flows more rapidly in the aorta than in the capillaries.  The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries.   less than     equal to     greater than Consider an incompressible liquid flowing in a pipe of constant diameter.   ΔP is the pressure difference between the 2 ends of the pipe.  Choose the correct statement regarding the volumetric flow.  It will decrease with increased ΔP, and increase with greater pipe radius.     It will increase with increased ΔP, and increase with greater length of the pipe.     it will decrease with greater length of the pipe, and increase with greater pipe radius.     it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.

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It is a fact that blood flows more rapidly in the aorta than in the capillaries.  The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries.

 

less than

 

 

equal to

 

 

greater than

Consider an incompressible liquid flowing in a pipe of constant diameter.   ΔP is the pressure difference between the 2 ends of the pipe.  Choose the correct statement regarding the volumetric flow. 

It will decrease with increased ΔP, and increase with greater pipe radius.

 

 

It will increase with increased ΔP, and increase with greater length of the pipe.

 

 

it will decrease with greater length of the pipe, and increase with greater pipe radius.

 

 

it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.

 

 

Expert Solution
Step 1

If the pressure difference is the same, then according to the equation of continuity, the product of the cross-sectional area of the pipe (aorta/capillaries) A and the velocity of the fluid (blood) v must be constant.

Av=constant          (1)

Therefore, if the blood flows more rapidly in the aorta then its cross-sectional area must be less than that of the capillaries.

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