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What is the minimum pressure required to...

What is the minimum pressure required to force blood from the heart to the top of the heart (a vertical distance of 50 cm) ? Assume that the density of blood is `1.04 "gcm"^(-3)` and neglect friction.

Text Solution

Verified by Experts

According to Bernoulli.s theorem, `p_(1)+pgh_(1)+1/2 pv_(1)^(2)=p_(2)+pgh_(2)+1/2 pv_(2)^(2)`
Here, `h_(2)-h_(1)=50 cm`
`p=1.04 g//cm^(3)`
`p_(1)-p_(2)=pg (h_(2)-h_(1)) +1/2 p(v_(2)^(2)-v_(1)^(2))`
If `v_(1)=v_(2)`
`p_(1)-p_(2)=pg(h_(2)-h)`
`=1.04 xx 980 xx 50`
`=5.34 xx 10^(4) "dyne/cm"^(2)`
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