# >> College & Higher Education >> Other Higher Education

How to Measure Earth's Mass

The true genius of science is to make something utterly baffling and awe-inspiring seem manageable and understandable. This is very much the case when calculating the mass of the Earth. The sheer scope of calculating the mass of our planet is mind-boggling, but due to the work done in previous centuries by some of the greatest minds to have ever lived - names like Newton, Galileo and Henry Cavendish - it is possible to calculate our planets mass using a reasonably understandable equation. The basis for the calculation is Newton's Law of Gravity (F=GmM/r squared) and, by using the values we know, it is possible to re-arrange the equation to solve for "M" (Mass.)

Instructions

- 1
  Use the slightly amended gravitational equation "M = ar^2/G" to discover the Earth's mass. To use this equation properly you will have to ascertain certain key values.
- 2
  Use the value for acceleration due to the force of gravity of the Earth ("a") in the equation. The number you need to note is "9.8 m/sec squared."
- 3
  Factor in the known radius of the Earth ("r") which is "6.4 x 10^6m."
- 4
  Complete the known values for your equation by noting the "G," a constant of proportionality in the gravitational equation. This is "6.67 x 10^-11m^3/(kg sec^2)."
- 5
  Substitute the values outlined previously into the equation you will be left with "9.8 x (6.4 x 106)^2/(6.67 x 10^-11)." When this is calculated, you will discover the mass of the planet Earth is "6.0 x 10^24 kg."

Highlights About Probability

How to Make Your Own Dialogue