A major artery with a cross-sectional area of 1.00cm2 branches into 18 smaller arteries, each with an average cross-sectional area of 0.400cm2. By what factor is the average velocity of the blood reduced when it passes into these branches

Respuesta :

Answer:

The velocity in the smaller arteries will be reduced by a factor of 0.139

Explanation:

The flow rate of blood is going to stay the same when it is transferred from the major artery to the smaller ones.

flow rate = Velocity * Area

Since the flow rate remains constant, we have:

Flow rate in major artery = combined flow rate in smaller arteries

Velocity in Major artery * 1.00 = Velocity in smaller artery * (0.4 * 18)

[tex]V_M * 1 = V_S * (18*0.4)[/tex]

[tex]\frac{V_S}{V_M}=\frac{1}{18*0.4}[/tex]

[tex]\frac{V_S}{V_M}= 0.139[/tex]

Thus, the velocity in the smaller arteries will be reduced by a factor of 0.139