The force, P, that is exerted on a spherical particle

Chapter 1, Problem 1.18

(choose chapter or problem)

The force, P, that is exerted on a spherical particle moving slowly through a liquid is given by the equation

               \(P=3 \pi \mu DV\)

where \(\mu\) is a fluid property (viscosity) having dimensions of \(FL^{-2} T, ~D\) is the particle diameter, and V is the particle velocity. What are the dimensions of the constant, \(3 \pi\)? Would you classify this equation as a general homogeneous equation?

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