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Homework Statement:

Identify the relation between the Diameter and the time to plot a graph to determine
the density of the pellet. Would you get a linear equation? If not, linearize the
equation.
Relevant Equations:
 $$v_t=\frac{(\rho_b\rho_l)g}{18\eta}D^2$$
The body is a small ball. The experiment consists in dropping this ball, while varying the diameter each 3 trials, in a viscous liquid and measuring its falling time: ##D_i\sim t_1,\,t_2,\,t_3##.
The equation we are using is:
$$\frac{\Delta x}{\Delta t}\approx\frac{(\rho_b\rho_l)g}{18\eta}D^2$$
I am asked to figure out a relation between the time and the diameter and find the density of the ball (I will be using Excel), but everything is unknown; falling distance, ##\eta##, ##\rho_l##.
Is this possible? If yes, can you please hint me to something?
The equation we are using is:
$$\frac{\Delta x}{\Delta t}\approx\frac{(\rho_b\rho_l)g}{18\eta}D^2$$
I am asked to figure out a relation between the time and the diameter and find the density of the ball (I will be using Excel), but everything is unknown; falling distance, ##\eta##, ##\rho_l##.
Is this possible? If yes, can you please hint me to something?