How Can One Calculate the Gravitational Constant G by Combining Two Formulas?

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The discussion centers on calculating the gravitational constant G using two formulas: Fg = G x (m1 x m2 / r^2) and Fz = m1 x g. It is established that these formulas can only be equated when standing on Earth's surface, where g is the acceleration due to gravity. The confusion arises when trying to measure g while stationary, as the distance traveled (s) is zero, leading to undefined calculations for G. Participants clarify that while standing still, the net force is zero due to opposing forces, and G can only be accurately calculated using the acceleration of a freely falling object. The conversation emphasizes the distinction between static and dynamic conditions in gravitational calculations.
  • #31
it is not about measuring g
 
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  • #32
The first words of the thread are about calculating G with a formula containing g. How can you calculate it from g if you don't measure g at some stage? (I now see this has been mentioned at least once before).

Calculating G from g (and other things) is surely just a rearrangement of some formulae. Most of the arguments here seem to involve pulling yourself up by your own bootstraps. You can't do anything without measuring some mass, some forces, some times and some distances, in one form or another. You takes your pick as to which ones and how.
 
  • #33
Siebevp said:
to calculate g you ofcourse need the equation g=GM/r^2,

but every time on one side of the equation there is just one variable of time.
I don't know where you are getting that idea. The only variables are g, G, M, and r. There is no variable of time which would usually be denoted by the variable t.

The rest of your post seems to confuse a dimensional analysis of an equation with the variables of the equation.
 

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