Calculating Viscosity of Golden Syrup through Terminal Velocity Experiment

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The experiment aims to determine the viscosity of golden syrup by measuring the terminal velocity of steel ball bearings of varying sizes. The plan involves plotting the square of the radius against the terminal velocity to derive the viscosity using the gradient of the resulting graph. The equation to be used is v_term = (2g(ps - pg) / 9η) * r^2, where η represents viscosity. The poster is uncertain about the correct placement of variables on the graph axes and the subsequent calculations. Ultimately, the viscosity will be calculated from the gradient of the plotted data.
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Homework Statement



I'm going to be doing an experiment to determine the viscosity of golden syrup by dropping different size steel ball bearings into a jar of golden syrup and recording how long it takes for them to travel a certain distance when there at terminal velocity.

so from the formula I'm trying to calculate eta, but I must do this by plotting a graph and then calculating eta from the gradient

Homework Equations



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The Attempt at a Solution



I think I'm going to have to plot radius^2 on one axis and Vterm on the other axis but I'm not sure which goes which. and then I'm going to make the equation in the same format of y=mx but I'm not sure again how
 
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is this correct vterm on y-axis and r^2 on x-axis and then the equation of the line would equal = (vterm=2g(ps-pg))/9eta *r2 +0 and then from this

eta = 2g(ps-pg) / 9*gradient ?
 
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