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Volume question, im really stuck. I just don't get physicss?
Blood moves as a speed v= 0.3m/s through an artey with a diameter of d=1.0x10^-2m. What is the volume flow rate F through the artery ( using dimenasional analysis)?
3 Answers
- Anonymous1 decade agoFavorite Answer
Using the diameter you can calculate the cross sectional area (with units of m^2)
Multiply this by the blood flow velocity (m/s) and you achieve a volumetric flow rate in m^3/s
You need to imagine that fluid is flowing perpendicular to the cross sectional area. The velocity creates a volume per unit time...which coincidentally works out to the volume flow rate, F.
What is more useful (albeit unnecessary for this question) is to convert this to mass flow rate using the density...but don't worry about that for now.
Source(s): Engineering student - FiremanLv 71 decade ago
F = A x v
=>F = pi x r^2 x v
=>F = 3.14 x (0.5 x 10^-2)^2 x 0.3
=>F = 2.36 x 10^-5 m^3/sec
=>F = 2.36 x 10^-2 Lts/s
=>F = 23.6 mL/sec
