Density In this part of the experiment you will measure the mass and diameter of

Question

Density In this part of the experiment you will measure the mass and diameter of several clay spheres to find the density of the clay. 1) (5 points) For a spherical object, what is the equation to find mass in terms of density of the material, its diameter and any necessary constants? How should the data of mass and diameter be plotted to obtain a linear graph, other than log- log graph? Make a sketch of this linear graph with both axes labeled. How is the density of the sphere related to the slope of the graph? Write an equation for the density with the slope as a variable. (Hint: watch introduction video: Density)

Explanation / Answer

D = m/V

Let D be the density and d be the diameter and r the radius of the sphere

volume(v) = 4/3*?*r^3

hence m = D*v = D*4/3*?*r^3

                =   4D/3*?(d/2)^3

              =   ?Dd^3/6

for. diameter against mass linearized plot we find the slope to give the density

example equation is of the form y = mx + b

m = ?y/?x

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