From platform edges place it in a middle of a compact

Info icon This preview shows pages 2–4. Sign up to view the full content.

from platform edges, place it in a middle of a compact disk and measure them together; after receiving the total mass of both objects subtract the mass of the disk which will leave the mass of marble alone. Ultimately, estimating the mass of marble to be 5.7 g, disk 14 g, and penny 2.25 g. The next step, divide diameters of each object by 2 to find the radius in cm, which will be later used to calculate the volume in cubic centimeters (cm^3) by the following formulas. V = π r 2 h for disk and penny, and V = 4 π r 3 3 for marble. To estimate an exact volume of a disk which consists of two parts, first, calculate both inner and outer volumes, and then subtract inner portion from outer. As a result, the values should be approximately 10.945 c m 3 for the disk, 0.284 c m 3 for a penny, and 2.145 c m 3 for the marble. Lastly, calculate the density ( ρ ) of a compact disk, marble, and penny in grams per centimeters cube ( g / c m 3 ) by dividing the mass of each by the parallel volumes. Thus,
Image of page 2

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

producing this result, the density of disk 1.279 g / c m 3 , marble 2.657 g / c m 3 , and penny 7.923 g / c m 3 Data : Object Mass (grams) Diameter (cm) Thickness (cm) Penny 2.25 1.9 0.1 Compact Disk 14 Inner - 1.5 Outer - 11.9 0.1 Marble 5.7 1.6 Calculations : 1) Penny: ¿ d 2 = 1.9 2 = 0.95 cm V = π r 2 h = π ( 0.95 ) 2 ( 0.1 ) = 0.284 cm 3 ρ = V m = 0.284 2.25 = 7.923 g / cm 3 2) Compact Disk R = D 2 = 11.9 2 = 5.95 cm r = d 2 = 1.5 2 = 0.75 cm 5.95 ¿ ¿ OuterVolume = π R 2 h = π ¿ Inner Volume = π r 2 h = π ( 0.75 ) 2 ( 0.1 ) = 0.177 cm 3 Volumeof Compact disk = ¿ π R 2 h π r 2 h = 11.122 0.177 = 10.945 c m 3 ρ = V m = 10.945 14 = 1.279 g / cm 3
Image of page 3
3) Marble: r = d 2 = 1.6 2 = 0.8 cm V = 4 π r 3 3 = 4 π ( 0.8 ) 3 3 = 2.145 c m 3 ρ = V m = 2.145 5.7 = 2.657 g / c m 3
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.
  • Spring '15
  • Centimetre gram second system of units, Vernier scale, vernier

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern