A fluid with a viscosity of 2.0 x 10-3 Pa s has a velocity of 1.48 m/s through a 12 m long pipe with a radius of .085 m. What is the pressure difference

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 23P: A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is...
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A fluid with a viscosity of 2.0 x 10-3 Pa s has a velocity of 1.48 m/s through a 12 m long pipe with a radius of .085 m. What is the pressure difference?

Expert Solution
Step 1

Viscosity of the fluid η=2.0×10-3 Pa s

Velocity of the fluid v=1.48 m/s

Length of the pipe L=0.085 m

The velocity gradient vx=vL

The viscous force is F=ηAvL

Step 2

The pressure difference is

 P=FA=ηvLP=2.0×10-3 Pa s1.48 m/s12 mP=2.5×10-4 Pa

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