Calculate Mass Flow Rate of Blood in Aorta

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SUMMARY

The mass flow rate of blood in the aorta can be calculated using the equation m = ρAv, where ρ is the density, A is the cross-sectional area, and v is the flow speed. Given a density of 1 g/cm³, a cross-sectional area of 2 cm², and a flow speed of 43 cm/s, the mass flow rate can be computed directly in g/s without needing to convert units. The final calculation yields a mass flow rate of 86 g/s.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the equation of mass flow rate (m = ρAv)
  • Knowledge of unit conversions between g/cm³ and kg/m³
  • Basic algebra for manipulating equations
NEXT STEPS
  • Review fluid dynamics concepts related to mass flow rate
  • Practice unit conversion techniques, especially for density and area
  • Explore applications of the mass flow rate in biological systems
  • Learn about the implications of blood flow rates in medical contexts
USEFUL FOR

Students in physics or engineering, medical professionals studying hemodynamics, and anyone interested in the quantitative analysis of blood flow in the human body.

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Homework Statement

Calculate the mass flow rate of blood (of den-
sity 1 g/cm3) in an aorta with a cross-sectional
area of 2 cm2 if the flow speed is 43 cm/s .
Answer in units of g/s.



Homework Equations

m=pAv



The Attempt at a Solution

Hey guys! I can tell that this is a very simple plug in equation however if my awnser needs to be in "g/s" then can I multiply my numbers as is, or do I need to convert the cm to meters. and the 1g/cm3 to kg/m3?
 
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Simply write out the multiplications along with the units and see if they cancel/combine appropriately.
 
Wow, duh I feel dumb...thanks!
 

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