1. Tardigrade
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  4. A healthy adult of height 1.7 m has an average blood pressure (BP) of 100 mm of Hg. The heart is typically at a height of 1.3 m from the foot. Take, the density of blood to be 103 kg/m3 and note that 100 mm of Hg is equivalent to 13.3 kPa (kilo pascals). The ratio of BP in the foot region to that in the head region is close to

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Q. A healthy adult of height $1.7 \,m$ has an average blood pressure (BP) of $100 \,mm$ of Hg. The heart is typically at a height of $1.3\, m$ from the foot. Take, the density of blood to be $10^3 \,kg/m^3$ and note that $100$ mm of Hg is equivalent to $13.3$ kPa (kilo pascals). The ratio of BP in the foot region to that in the head region is close to

KVPYKVPY 2019Mechanical Properties of Fluids

Solution:

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Pressure at head level $= p_{\text{heart}} - \rho gh$
$= 13.3-10^3 \times 10 \times 0.4$
$= 9.3\, kPa$
Pressure at foot level $= P_{\text{heart}}+ \rho gh$
$= 13.3+ 10^3 \times 10 \times 1.3$
$= 26.3 \,kPa$
So, ratio $= \frac{26.3}{9.3} \approx 2.9$ or $3$