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

Question

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 loglog graph? Make a sketch of the graph with both axes labeled. How does the

density of the sphere relate the slope of the graph? Write an equation for the

density with the slope as a variable.

Explanation / Answer

and r is the radius (half the diameter) r=d2

m=        1/6 p(pi)(d^3

The slope of the m vs V (43?r3)   graph is density.

The value you most directly control goes on the x-axis.
so
are you selecting by size, then measuring weight
or
are you selecting by weight then measuring diameter?

seems like I'd want to plot radius on x-axis
weight on y-axis
and density on 2nd y-axis (on right side)

Slope = change in y over change in x, or dy/dx (first derivative)
slope = d(mass) / d(volume)

density = mass / volume
D = m/V

slope = density

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.