Understanding the Importance of Constants in Proportional Formulas

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Discussion Overview

The discussion revolves around the role and significance of constants in proportional formulas, particularly in the context of physical equations. Participants explore how constants relate to proportionality and their implications for unit systems in physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the necessity of constants in proportional formulas and their importance.
  • Another participant explains that two quantities are proportional when their ratio is a constant, providing the formula y/x = k.
  • A participant suggests that constants in physical equations help maintain consistency across unit systems, using the gravitational force equation as an example.
  • It is noted that while the form of the gravitational force equation can be simplified, it may not yield results in standard units, limiting comparisons with other forces.
  • Some participants mention the concept of "natural units," which can eliminate constants of proportionality, allowing for different unit definitions.
  • There is a contention regarding the interpretation of constants and their role in comparing forces from different equations, with one participant expressing frustration over perceived miscommunication.

Areas of Agreement / Disagreement

Participants express differing views on the role of constants in formulas and their implications for unit systems. The discussion remains unresolved, with multiple competing perspectives presented.

Contextual Notes

Participants reference specific physical equations and concepts, but there is no consensus on the interpretation of constants or their necessity in all contexts. The discussion includes assumptions about unit systems and the nature of proportionality.

mphr
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why should there is a 'constant' in a formula in which charactors on both sides are propotional to each other? and what should be the importance of it?:confused:
 
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Two quantities are said to be proportional when their ratio is a constant. If some variable y is proportional to another variable x, then their ratio, y/x, is a contant.

y/x = k => y = kx. (k is some constant)
 
mphr said:
why should there is a 'constant' in a formula in which charactors on both sides are propotional to each other? and what should be the importance of it?:confused:

im not sure that i understood ur question...
are u asking what role constants play in physical equations?

because is u do, my answer is that those constants are there to keep all physical equations in the same unit system...

lets take the niotonic equation on the gravitational force:
F=GMm/r^2
this equation in principle is the same as : F=Mm/r^2.

though such formation of the equation, will not give us the force in Newtonic units, so we cannot compare this force to other known foces other than gravity...

i hope i was clear though my crippled skills in english...
 
TuviaDaCat said:
lets take the niotonic equation on the gravitational force:
F=GMm/r^2
this equation in principle is the same as : F=Mm/r^2.

though such formation of the equation, will not give us the force in Newtonic units, so we cannot compare this force to other known foces other than gravity...

you can define units that get rid of these constants of proportionality. these are often called "natural units". check out:

http://en.wikipedia.org/wiki/Natural_units

and take your pick of which constants to lose.
 
rbj said:
you can define units that get rid of these constants of proportionality. these are often called "natural units". check out:

http://en.wikipedia.org/wiki/Natural_units

and take your pick of which constants to lose.


it does not contradict with what i said.
all i said that constants are there to keep a all physical properties in a certain system of units.

ofcours u may use those "natural units", after all the Newton unit was defined by multiplying our earthly gravity with mass.

but u cannot compare two forces from different equalities of a property.
if there is nothing to say, just say nothing, I am annoyed that u just spill words without relating to what i wrote, maybe its because I am tierd... no matter...
 

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