Question

The blood flow rate in the capillaries is 0.005 m/s. Determine the velocity in the

aorta if the total cross-sectional area of the capillaries is 800 times larger than

the cross-sectional area of the aorta.​

Answer 1

Answer:

Flow rate Q is defined to be the volume of fluid passing by some location through an area during a period of time, as seen in Figure 1. In symbols, this can be written as

Q

=

V

t

,

where V is the volume and t is the elapsed time. The SI unit for flow rate is m3/s, but a number of other units for Q are in common use. For example, the heart of a resting adult pumps blood at a rate of 5.00 liters per minute (L/min). Note that a liter (L) is 1/1000 of a cubic meter or 1000 cubic centimeters (10-3 m3 or 103 cm3). In this text we shall use whatever metric units are most convenient for a given situation.

Figure 1. Flow rate is the volume of fluid per unit time flowing past a point through the area A. Here the shaded cylinder of fluid flows past point P in a uniform pipe in time t. The volume of the cylinder is Ad and the average velocity is

¯¯¯

v

=

d

/

t

Explanation:

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