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graph deriving viscosity, please help :)

Hi,
i have to plot a graph from which i can derive viscosity. the best way that i can think of is to use this equation

where:
Vt = [(2g)(d1-d2)/9µ] r^2

Vt = termical velocity of fall
g = acceleration of gravity
r = "equivalent" radius of particle
dl = density of sphere
d2 = density of medium
µ = viscosity of medium

if i were to draw a graph of terminal velocity versus radius squared...
k= [(2g)(d1-d2)/9µ]
that bit that bit would be the gradient of the graph since it is a constant.
but since in my experiment i have to use different radius's of the sphere, does that still mean the the density of the different spheres will still make k a constant? how does that work? also if i plot that, will it be a straight line graph since k/ the gradient is a constant?

please help ! thanksss
rogla
Hi,
i have to plot a graph from which i can derive viscosity. the best way that i can think of is to use this equation

where:
Vt = [(2g)(d1-d2)/9µ] r^2

Vt = termical velocity of fall
g = acceleration of gravity
r = "equivalent" radius of particle
dl = density of sphere
d2 = density of medium
µ = viscosity of medium

if i were to draw a graph of terminal velocity versus radius squared...
k= [(2g)(d1-d2)/9µ]
that bit that bit would be the gradient of the graph since it is a constant.
but since in my experiment i have to use different radius's of the sphere, does that still mean the the density of the different spheres will still make k a constant? how does that work? also if i plot that, will it be a straight line graph since k/ the gradient is a constant?

please help ! thanksss


If you dont understand what im saying please ask, and I or someone smarter than me will explain.

k is not dependent on r. so it will stay constant. If you didnt change anything graph would just be a straight line with a gradient of zero. in short k will still be constant.

finally. yes, it should be constant. and the gradient will give you an answer for k. but i hasten to add that this is only the case if the variables are linear which they are.

please ask if that dosnt make sence. also the best thing to do in this case it to try it to see if it works.
Reply 2
Avatar for teachercol
teachercol
9
This is exam coursework. You must acknowledge all such helpyou receive.
ok so what needs to go on the axis for this graph?
Reply 4
Avatar for teachercol
teachercol
9
Your OP looks OK.
Have a bit more confidence!
Reply 5
Avatar for nameskhan
nameskhan
Hopefully this will help;
Since if you plot Vt=k r^2, the gradient of the graph will give you k, then you rearrange the formula given in the brief(the long one) to make viscosity(heta) the subject, you say you know all the values so substitute all of them and calculate to see if the viscosity matches the viscosity you know, thats stokes law proven, the only thing nagging me is that I cant imagine that the graph will give me a straight line since when y= Constant(variable^2) its normally always a parabola.

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