Assume that the flow around the long circular cylinder of Fig. P6.49 is nonviscous and i...

Assume that the flow around the long circular cylinder of Fig. P6.49 is nonviscous and incompressible. Two pressures, p₁ and p₂, are measured on the surface of the cylinder, as illustrated. It is proposed that the free-stream velocity, U, can be related to the pressure difference by the equation

where p is the fluid density. Determine the value of the constant C. Neglect body forces.