Answered

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blood is pumped from the heart at a rate of 5.0 l/min into the aorta (of radius 1.0 cm). determine the speed of blood through the aorta.

Sagot :

The speed of blood through the aorta is 0.265 m/s.

The speed of blood flow through aorta is termed as volumetric flow rate. The formula is -

Q = Av, where Q is volumetric flow rate, A is area and v represents speed.

Area = πr²

As we know, 1 m = 100 cm

So, 1 cm = 0.01 m

Area = π(0.01)²

Area = 3.1× [tex] {10}^{ - 4} [/tex] m²

Q = 5 l/min

Converting to m³/sec

Q = 5/1000×1/60

Q = 8.3 × [tex] {10}^{ - 3} [/tex] m³/s

Now calculating v or speed of blood

v = Q/A

v = 8.3 × [tex] {10}^{ - 3} [/tex] ÷ 3.1× [tex] {10}^{ - 4} [/tex]

v = 0.265 m/s

Thus, the blood flows at 0.265 m/s through aorta.

Learn more about blood flow -

https://brainly.com/question/27977820

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