Solved

Newton's deffinitions on centripetal force.

Posted on 2003-10-25
5
524 Views
Last Modified: 2010-05-18
Will someone explain to me what is ment by Newton's deffinitions VI-VIII? I dont understand exactly what they mean. What are the three qualitys of centripetal force he is talking about (I want to know what they are, not just there names).

Thank you for your time,
Arrummzen
0
Comment
Question by:Arrummzen
  • 2
  • 2
5 Comments
 
LVL 31

Expert Comment

by:GwynforWeb
ID: 9621277
"Newton's deffinitions VI-VIII?" I have never heard of these, centrifugal force is usually described from his laws. What are the definitions you are talking about?
0
 
LVL 1

Author Comment

by:Arrummzen
ID: 9621829
In his book Principia Newton begins by laying out some deffinitions. (its in the begining of the book, I dont fully understand VI-VIII)
They can be found here -
http://members.tripod.com/~gravitee/definitions.htm

Thank you for your time,
Arrummzen
0
 
LVL 5

Accepted Solution

by:
SethHoyt earned 70 total points
ID: 9621891
First of all, Newton's terminology differs from our modern-day usage. What he calls centripetal force, we generally call central force. We usually reserve centripetal force for rotational systems, but Newton uses it to describe any kind of central force. Also, what he refers to as motion, we would call momentum.


Def. VI: absolute quantity of a centripetal force

This describes the property of a central force intrinsic to the source. It depends only on the source itself, and is independent of anything else. For gravity, the absolute quantity is proportional to the object's mass. For Coulomb's law, the absolute quantity is proportional to charge.

Def. VII: accelerative quantity of a centripetal force

This is the acceleration of a given object due to a central force from a given source. It is dependent on the distance between the objects, and is a property of the field generated by the source.

Def. VIII: motive quantity of a centripetal force

The motive quantity is what we would call the actual "force". It depends on both the source and the object being acted upon, as well as their relative positions. Thus, the motive quantity is proportional to both the absolute quantity and the accelerative quantity, as in F=ma.


Hope that helps,

-Seth
0
 
LVL 1

Author Comment

by:Arrummzen
ID: 9621969
I understood the first 5, its 6-8 that I needed the help with.

What does "intrinsic" mean?
0
 
LVL 31

Assisted Solution

by:GwynforWeb
GwynforWeb earned 55 total points
ID: 9623041
Arrummzen,
    Look at them this way. Consider a weight on a piece of string that you are swinging round in a circle.

DEFINITION VI.  The heavier the weight the more force you feel on the string. ie proportional to the mass.

DEFINITION VII.  For given speed of the weight then the longer the string the less force you feel on the string. Shorten the string and keep the weight's speed the same then the more force you feel. ie proportional to 1/(string length).

DEFINITION VIII.  Is a combination of VI and VII. ie the faster the weight rotates and the shorter the string then the more force you feel, and visa versa. He is just saying VI and VII both apply together.

GfW
0

Featured Post

Free Tool: SSL Checker

Scans your site and returns information about your SSL implementation and certificate. Helpful for debugging and validating your SSL configuration.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
Rounding Values 11 60
Probability 2 67
Vertical and Horizontal Shift 4 129
110V Lasko bladeless fan blows with a burning smell 5 82
A Guide to the PMT, FV, IPMT and PPMT Functions In MS Excel we have the PMT, FV, IPMT and PPMT functions, which do a fantastic job for interest rate calculations.  But what if you don't have Excel ? This article is for programmers looking to re…
When we purchase storage, we typically are advertised storage of 500GB, 1TB, 2TB and so on. However, when you actually install it into your computer, your 500GB HDD will actually show up as 465GB. Why? It has to do with the way people and computers…
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…

821 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question