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

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

* Terminal Velocity (U)

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