The aorta carries blood away from the heart at a speed of about40 cm/s and has a radius of approximately 1.1 cm.
the aortabranches eventually into a large number of tiny capillaries thatdistribute the blood to the various body organs.
in a capillary, the blood speed is approximately 0.007 cm/s, and the radius isabout 6.0 10-4 cm.

treat the blood as an incompressiblefluid, and use these data to determine the approximate number ofcapillaries in the human body.

The no. of capillaries are

Solution:

As per the question:

Speed of the blood carried by the aorta,

Radius of the aorta,

Speed of the blood in the capillaries,

Radius of the capillaries,

Now,

To determine the no. of capillaries:

Cross sectional Area of the Aorta,

Cross sectional Area of the Capillary,

Let the no. of capillaries be 'n'

Also, the volume rate of flow in the aorta equals the sum total flow in the 'n' capillaries:

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