A patient is receiving saline solution from an intravenous (IV) system. The solution passes through a needle of length 2.1 cm and radius 0.195mm. There is an 8.00 mm-Hg gauge pressure in the patient's vein.Use the density of seawater, 1025 kg/m3, for the solution. Assume its viscosity at 20 °C is 1.002×10−3 Pa·s. a. The actual volume flow rate of the saline solution through the IV system is determined by its passage through the needle. Find the volume flow rate, in cubic centimeters per second, when the saline solution surface is 1.25 m above the patient’s vein.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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A patient is receiving saline solution from an intravenous (IV) system. The solution passes through a needle of length 2.1 cm and radius 0.195mm. There is an 8.00 mm-Hg gauge pressure in the patient's vein.

Use the density of seawater, 1025 kg/m3, for the solution. Assume its viscosity at 20 °C is 1.002×10−3 Pa·s.

a. The actual volume flow rate of the saline solution through the IV system is determined by its passage through the needle. Find the volume flow rate, in cubic centimeters per second, when the saline solution surface is 1.25 m above the patient’s vein. 

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