The drag force \(F\) on a circular cylinder due to vortex shedding is a function of

\(U\), the velocity of the flow

\(\mu\), the dynamic viscosity of the fluid

\(ho\), the mass density of the fluid

\(L\), the length of the cylinder

\(D\), the diameter of the cylinder Present different problems that are to be formulated in nondimensional form. For each problem answer the following.

(a) What are the dimensions involved in each of the parameters?

(b) How many dimensionless parameters does the Buckingham Pi theorem predict are in the non-dimensional formulation of the relation between the natural frequencies and the other parameters?

(c) Develop a set of dimensionless parameters.