A major artery with a cross-sectional area of 1.00cm2 branches into 18 smaller arteries, each with an average cross-sectional area of 0.400c

Question

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

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Kiệt Gia 4 years 2021-09-02T19:28:07+00:00 1 Answers 41 views 0

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  1. trucchi
    0
    2021-09-02T19:30:06+00:00
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    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)

    V_M * 1 = V_S * (18*0.4)

    \frac{V_S}{V_M}=\frac{1}{18*0.4}

    \frac{V_S}{V_M}= 0.139

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

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