1. What variable could not influence the velocity if it is proposed that the velocity depends on a diameter, a length, gravity, rotational speed, and viscosity?
2. An object falls freely in a viscous fluid. Relate the terminal velocity V to its width w, its length l, gravity g, and the fluid density r and viscosity m. Relate the terminal velocity to the other variables. Select
(a) w, g, and r as the repeating variables and
(b) l, g, and r as the repeating variables.
Show that the relationship for (a) is equivalent to that of (b).