- #1
johncena
- 131
- 1
Can we derive the equation ,
F = (Gm1m2) / r2
using dimensional analysis?
F = (Gm1m2) / r2
using dimensional analysis?
Derivation of formula using dimensions
- Context: Graduate
- Thread starter johncena
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- Derivation Dimensions Formula
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SUMMARY
The discussion focuses on the derivation of the gravitational force equation, F = (Gm1m2) / r², using dimensional analysis. Participants explore the concept that force remains consistent across a sphere of radius r, emphasizing the importance of dimensional consistency in physical equations. The analysis confirms that dimensional analysis can effectively validate the structure of the gravitational force formula.
PREREQUISITES- Understanding of dimensional analysis
- Familiarity with Newton's law of universal gravitation
- Basic knowledge of physical quantities such as mass and distance
- Concept of force in physics
- Study the principles of dimensional analysis in physics
- Explore Newton's law of universal gravitation in detail
- Investigate the role of gravitational constant G in equations
- Learn about the implications of force consistency in different geometries
Physics students, educators, and anyone interested in the mathematical foundations of gravitational forces and dimensional analysis.
- #2
tiny-tim
Science Advisor
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Hi johncena! 
Assume that force does not get "lost" …
ie, the force flowing through a sphere of radius r is the same for all values of r.
Assume that force does not get "lost" …
ie, the force flowing through a sphere of radius r is the same for all values of r.
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