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The average blood speed is 0.39 m/s

Explanation:

According to Poiseuille’s law, the volume flow rate, Q (m³/s) of a fluid of

viscosity η through a tube or pipe of radius r and length L is:

Q = πr⁴ΔP/8ηL

where ΔP is the change in pressure or pressure difference of the fluid; L is length of the pipe

Also, the volume flow rate, Q, is related to the average velocity v, by the formula:

Q = Av

where A is the cross-sectional area of the pipe; A = πr²

Q = πr²v

Thus, the Poiseuille’s becomes: πr²v = πr⁴ΔP/8ηL

v = r²ΔP/8ηL

From the given values:

r = 2.5 mm = 0.0025 m

L = 15 cm = 0.15 m

ΔP = 380 Pa

η = 5 * 10⁻³ Pa.s

substituting the given values in the equation

v = {(0.0025)² * 380} / (8 * 5 * 10⁻³ * 0.15)

v = 0.39 m/s

Therefore, the average blood speed is 0.39 m/s

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