Blood flows in an aorta of at a speed ( v_{1} ). Because of thickening of the arterial walls (arteriosclerosis), the aorta reduces its radius to one fourth of its initial value, what is the new speed ( v_{2} ) of the blood in the narrower region? Select one: ( v_{2}=8 v_{1} ) ( v_{2}=4 v_{1} ) ( v_{2}=16 v_{1} ) ( v_{2}=2 v_{1} )
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The blood flow rate (volume per unit time) must be conserved, as the blood entering the aorta must equal the blood leaving the aorta. Show more…
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Ivan K.
Blood flows through the aorta at an average speed of $v=18 \mathrm{cm} / \mathrm{s} .$ The aorta is roughly cylindrical with a radius $r=12 \mathrm{mm} .$ The volume rate of blood flow through the aorta is $\pi r^{2} v .$ Calculate the volume rate of blood flow through the aorta in $\mathrm{L} / \mathrm{min}$.
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