Answer to Question #184393 in Mechanics | Relativity for Konoha

Question

Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. Determine the flow rate and the volume that passes through the artery in a period of 30 s.

Round your answer to the nearest 0 decimal place.

Answers:

• flow rate: cm³/s
• volume: cm³

Answer 1

Cross-section area of artery, $A=\pi r^2=3.14\times(2\times10^{-1})^2$

$A=0.1256\space cm^2$

Velocity of flow, $v=40\space cm/s$

Volumetric Flow rate, $q=Av=0.1256\times40=5.024\space cm^3/s$

Volume passing through artery in 30s $=qt=5.024\times30=150.72\space cm^3$