Density of the Earth

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Bibliographic Entry Result
(w/surrounding text)
Standardized
Result
Neff, Robert F. & Zitewitz, Paul W. Physics, Principles and Problems. New York: Glencoe, 1995: 159. "Mass of the Earth 5.979 × 1024 kg
Radius of the Earth 6.3713 × 103 km"
5.519 g/cm3
Compton's Interactive Encyclopedia. Compton's, 1995. "They divide the mass of the Earth by the volume, which gives the average density of the material in the earth as 3.2 ounces per cubic inch (5.5 g/cm3)." 5.5 g/cm3
Orbits Voyage Through The Solar System. Phoenix, AZ: Software Marketing, 1989. "Mean Density: (water = 1) 5.52." 5.52 g/cm3
Morse, Joseph Laffan. Funk & Wagnalls Standard Reference Encyclopedia. New York: Standard Reference Works, 1967: 2934. "The average density of the planet [Earth] is 5.52" 5.52 g/cm3
Hamilton, Calvin J. Earth Introduction. Views of the Solar System. "Mean density (g/cm3) 5.515." 5.515 g/cm3

The density of the Earth is higher than that of any other planet in our solar system. Sources vary when it comes to the density of the Earth. All the numbers that were provided are so close to each other, however, that they can each be considered valid. Some assorted numbers given would be: 5.5, 5.52, and 5.15 g/cm3 (estimations that are made can change the outcome of a calculation).

Density is found by dividing the mass by the volume (ρ = m/V). A scientist named Henry Cavendish is known for calculating the mass (and then density) of the Earth. Cavendish assembled an apparatus that consisted of a suspended metal rod with two lead balls hanging from it. He placed masses of metal near these balls in order to measure the force of attraction between them. Correspondingly, he could then find the attraction on a mass the size of the Earth and then determine its density. This famous procedure is known as the Cavendish Experiment.

In order to find the volume of the Earth you need more information than just the volume of a sphere formula. This formula (4/3πr3) requires the radius of the Earth. The diameter of the Earth at the equator is 7926.68 miles (or 12756.75 km). Now, to find the radius, divide the diameter by 2 (because any radius is exactly half of its diameter).

The mass of the Earth is found to be 6 sextillion, 587 quintillion short tons (or 5.98 × 1021 metric tons). Since the Earth is a sphere, the formula 4/3πr3 is used to find the volume. The volume of the Earth is considered to be 1.08 × 1012 km3 (or 2.5988 × 1011 miles3).

I also calculated numbers for the density of the Earth. I knew the mass of the Earth in grams is 5.979 × 1027. Also, the radius in centimeters is 6.3713 × 108. I plugged this information into the 4/3πr3 formula in order to find the volume. I got the answer 1.084227366 × 1027 cm3. I then divided the volume into the mass and got 5.519 g/cm3 as the density of the Earth.

Since the Earth's mass is so great, it makes a gravity that compresses it more than every other kind of inner planet. The Earth actually lacks all the huge "vapor envelopes" of the gas giants, so almost all of the matter on our planet consists of heavy solids. This is what makes Earth have the highest average density compared to any other planet in the solar system.

Katherine Malfucci -- 2000


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