When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the

Question:

When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance to the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.GIVENA sphere falling freely through a homogeneous fluidTerminal velocity occurs when weight is balanced by buoyant force and friction resistance of the fluidASSUMPTIONSCompressibility effects are negligibleInfluence of surface roughness isnegligible