Falling-cylinder viscometer (see Fig. 2C.4).6 A falling-cylinder viscometer consists of a longvertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (radiusKR)....

Falling-cylinder viscometer (see Fig. 2C.4).6 A falling-cylinder viscometer consists of a longvertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (radiusKR). The slug is equipped with fins so that its axis is coincident with that of the tube.One can observe the rate of descent of the slug in the cylindrical container when the latteris filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the terminalvelocity v0 of the slug and the various geometric quantities shown in the figure.(a) Show that the velocity distribution in the annular slit is given by