Question: A ball, when released underwater, will rise towards the surface with velocity V. This velocity dependson the density b([b]=ML-3) and radius Rof the ball, the
A ball, when released underwater, will rise towards the surface with velocity V. This velocity dependson the density b([b]=ML-3) and radius Rof the ball, the acceleration due to gravity g, andthe density f and kinematic viscosity u([u]=L2T-1)of the water. Dimensional analysis showsthat V takes the general formV=?RuG(R3g?u?(()2),bf)where Gis some unknown function.Ifitis known that V depends linearly onb and that V=0 when b=f, what does the formulaabove reduce to?In the below, Hisan unknown function.
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