Dimensional Analysis & Conversions: Metric Units Explained

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    College Confused
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Discussion Overview

The discussion revolves around the concepts of dimensional analysis and unit conversions within the metric system. Participants seek clarification on how to convert between different metric units and request explanations in simpler terms.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant asks for help with converting 35mm to meters and seeks a layman's explanation of dimensional analysis.
  • Another participant provides a series of conversions from 35mm to various metric units, including centimeters and kilometers.
  • A different participant suggests that the original poster's questions should be directed to the "Homework help" subforums for better assistance.
  • Some participants express frustration with the frequency of posts and the expectation of immediate responses, questioning the appropriateness of double-posting.
  • One participant comments on the terminology used, noting that "dimensional analysis" was previously referred to as the "factor label method" and emphasizes the importance of understanding the relationship between millimeters and meters.
  • Another participant argues that dimensional analysis encompasses more than just unit conversion, highlighting its applications in simplifying equations and mathematical proofs.

Areas of Agreement / Disagreement

There is no consensus on the best approach to teaching or understanding dimensional analysis, with participants expressing differing views on terminology and the nature of the concept itself.

Contextual Notes

Some participants mention the need for clarity on the definitions of units and the underlying principles of dimensional analysis, indicating that assumptions may not be universally understood.

chewbocka
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Confused in College!



I need a little help with Dimensional Analysis and Conversions (Metric Units)

Example: 35mm__________________________________________m

How can I convert from one unit of measure to another? :cry:

AND

Would somebody --- please, explain Dimensional Analysis to me in laymens terms? :confused:
 
Last edited:
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chewbocka said:
I need a little help with Dimensional Analysis and Conversions (Metric Units)

Example: 35mm__________________________________________m

How can I convert from one unit of measure to another? :cry:

AND

Would somebody --- please, explain Dimensional Analysis to me in laymens terms? :confused
 
Am I asking for help in the right manner?

Come on, somebody has to be awake...
 
35mm = 3.5cm = 0.35dm = 0.035m = 0.0035dam = 0.00035hm = 0.000035km
 
Hmm... I don't normally get involved in this sort of issues, but it's been a slow evening as far as I'm concerned. It probably sucks to be kept awake late at night in your second week of classes by what are simple issues.
For dimensional analysis tutorials, try these two - they're written in fairly laymen terms.
http://www.ncsu.edu/felder-public/kenny/papers/units.html
http://www.physics.uoguelph.ca/tutorials/dimanaly/
The conversion factors you need for the metric system are very straightforward since they are all various multiples of ten. You should be able to find them if you do a Google search on define <unit>. There are also plenty of other sites on dimensional analysis to be found.
Oh, and for future reference, such questions should go in the "Homework help" subforums, which are more carefully monitored by people willing to help.
 
You also posted your second post in this thread 8 minutes after the first and then another 15 minutes after that! This isn't supposed to be an "answers on demand" operation! I usually look at this board once every one or two days- I have other things to do (Occassionally, people catch me and make me actually work for my pay!).

The answer to your question- 15 mm is how many meters?- depends entirely upon know what millimeters and meters are. Do you know that?
 
Why do they use big word these days like "dimensional analysis" to talk about simple ideas? When I learned this stuff it was the simple name of "factor label method." How many MILLImeters are in 1 meter? If you know that, than you should be able to figure out your problem.
 
This may be a matter of using big words incorrectly! "Dimensional Analysis" is not just converting from one unit to another. It is used extensively to simplify equations in applied mathematics and I have even seen it used to prove the Pythagorean theorem!
 

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