Question
Asked Dec 23, 2019
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The pulmonary artery, which connects the heart to the lungs, has an inner radius of 2.6 mm and is 8.4 cm long. If the pressure drop between the heart and lungs is 400 Pa, what is the average speed of blood in the pulmonary artery?

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Expert Answer

Step 1

Given:

inner radius = 2.6 mm

length = 8.4 cm

pressure = 400 Pa

Given:

inner radius = 2.6 mm

length = 8.4 cm

pressure = 400 Pa

coefficient of viscosity of blood = 4 X 10-3 N.s/ sq m

coefficient of viscosity of blood = 4 X 10-3 N.s/ sq m

Step 2

Speed of blood in the pulmonary artery can be calcula...

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APTR ....(1) 8nL where, Pis the pressure Ris the radius Lis the length nis the coefficient of viscosity Qis rate of flow of blood Q = vA where, Ais the area vis the velocity Q = VTR² from equation (1) APTR VAR 8nL APR 8nL 400 x(2.6x10) 8x4x10 x 8.4x10 v =1.005 m/s

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