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19 July, 11:35

If the radius of the outflow tube is 1 cm and the LVAD pump generates a pressure of 45 mm Hg, what is the velocity of blood through the outflow tube if peripheral resistance is 1 mm Hg⋅s⋅mL-1?

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  1. 19 July, 12:28
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    Answer: v = 14 cm/s

    Explanation:

    Using the formula Blood Flow = Change in pressure/Resistance

    Mathematically represented as Q = P/R

    where P = 44 mmHg, R = 1 mmHg·s/ml

    Q = (44/1) ml/s

    Q = 44 ml/s or 44 cm^3/s

    Using the formula Velocity = blood flow/cross sectional area

    Mathematically represented as v = Q/A

    where r = 1 cm, A = π·r^2 = π x 1 x 1 = 3.142 cm^2

    1 ml = 1 cm^3, this implies that Q = 44 ml/s = 44 cm^3/s

    v = (44 / π) cm/s

    v = 14 cm/s

    I hope this is clear?
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