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Speed of transfusion from suspended blood bag

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A hospital patient receives a quick 500-cc blood transfusion through a needle with a length of 5.0 cm and an inner diameter of 1.0 mm. if the blood bag is suspended 0.85 m above the height where the blood first starts to flow into the vein, how long does the transfusion take? (Neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle.)

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Solution Summary

The speed of transfusion from suspended blood bags are examined.

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Notations:
P the pressure at a given point in the flow
P0 = the atmospheric pressure (we shall not need its value, but refer to it in the equations)
g = 9.8 m/s^2 - the free fall acceleration
rho - the mass density of the blood (we shall not need its value, but refer to it in the equations)
V = 0.0005 m^3 - the volume of the blood
H = 0.85 m - the height from start to ...

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