Where Does the Gravitational Constant Come From?

  • Context: Undergrad 
  • Thread starter Thread starter NewDescartes
  • Start date Start date
  • Tags Tags
    Constant
Click For Summary

Discussion Overview

The discussion centers on the origins and significance of the Gravitational Constant (G), including its measurement and historical context. Participants explore its role in Newton's gravitational formula and the methods used to determine its value, as well as the implications of its units.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether Newton guessed the value of the Gravitational Constant, noting that he did not measure it directly.
  • Another participant references a source stating that Newton could not establish a good estimate for G and used ratios in his equations to cancel out the constant when calculating planetary orbits.
  • Several participants discuss the approximate value of the Gravitational Constant, with some providing different representations of its units, such as Newton m²/kg² and m³ kg⁻¹ s⁻².
  • There is a correction regarding the exponent in the value of G, with a participant emphasizing the importance of accuracy in scientific notation.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the historical measurement of G and its implications in Newton's work. There is no consensus on whether Newton guessed the value or relied on ratios, and the discussion includes varying representations of the constant's value and units.

Contextual Notes

Some claims rely on specific historical interpretations and sources, which may not be universally accepted. The discussion includes unresolved aspects of the measurement techniques and the implications of the units used for G.

NewDescartes
Messages
24
Reaction score
0
I was wondering where the Gravitational Constant comes from. As far as I know it has been measured with a tension line and weights. I also understand that Newton uses it his gravitational formula, but he didn't measure it. Did he just guess the number? Also is G the proportionality or distribution of gravity per kg?
 
Physics news on Phys.org
atyy said:
As for the other part of NewDescartes' question, it says here that Newton couldn't actually establish any good estimate for the value of the gravitational constant (and it says here that when calculating things like planetary orbits, Newton used equations 'with ratios so that the constant would cancel out'). So, the Cavendish experiment really was the first to give it a value.
 
So the gravitational constant is approx. 6.67428 * 10^11 Newtons??
 
By the way thanks for everything. I enjoy this immensely, even debates.
 
NewDescartes said:
So the gravitational constant is approx. 6.67428 * 10^11 Newtons??

To be picky, the units are Newton m^2 / kg^2.
 
NewDescartes said:
So the gravitational constant is approx. 6.67428 * 10^11 Newtons??

Don't forget the minus sign in the exponent.:wink:

According to the Constants section of PF's Latex Reference,

[tex]G\ =\ 6.673(10)\ \times\ 10^{-11}\ m^{3} kg^{-1} s^{-2}[/tex]

I prefer the units representation given by jtbell much more though.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 25 ·
Replies
25
Views
4K