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 in units of m/s

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

Explanation:

Given;

volumetric flow rate, Q = 5.0L/min = 0.005 m³/min x 1min/60s = 8.333 x 10⁻⁵ m³/s

radius of the aorta, r = 1.0 cm = 0.01 m

Area of the aorta = πr²

Area of the aorta = π(0.01)² = 3.142 x 10⁻⁴ m²

Volumetric flow rate is given by;

Q = Av

where;

v is the speed of blood through the aorta

v = Q /A

v = (8.333 x 10⁻⁵ ) / (3.142 x 10⁻⁴)

v = 0.265 m/s

Therefore, the speed of blood through the aorta is 0.265 m/s

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