Physics Lab Uncertainties: Natural Log Method

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SUMMARY

The discussion focuses on calculating uncertainties in a physics lab using the natural log method, specifically for the equation k*(x^a)*(y^b)*(z^c). The user seeks clarification on simplifying the equation to facilitate taking partial derivatives, particularly in the context of calorimetry. The main challenge highlighted is managing the components in the denominator of the equation. The user expresses confidence in mastering the method once the initial confusion is resolved.

PREREQUISITES
  • Understanding of natural logarithms and their properties
  • Familiarity with partial derivatives in calculus
  • Basic knowledge of calorimetry and its equations
  • Experience with uncertainty analysis in experimental physics
NEXT STEPS
  • Study the process of taking partial derivatives of logarithmic functions
  • Research uncertainty propagation techniques in experimental physics
  • Learn about the application of the natural log method in various scientific contexts
  • Explore examples of calorimetry calculations involving uncertainties
USEFUL FOR

Physics students, laboratory technicians, and educators involved in experimental physics and uncertainty analysis will benefit from this discussion.

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Homework Statement



I'm doing a physics lab and need to do the uncertainties, and the method I'm using is the natural log method, hich goes like this:
(equation used was k*(x^a)*(y^b)*(z^c) )
http://img297.imageshack.us/img297/3663/lnform.jpg

The equation I'm doing:

http://img175.imageshack.us/img175/4214/40303282.jpg

I'm just wondering how it simplifies (the right most part of the first picture) so that I can take the partial dervs. (The Inside of ln is my actualy equation, calorimetry.)



Homework Equations



I don't know, otherwise I would apply them!

The Attempt at a Solution



It's a pretty straight foward problem, once I see it down once I think I can do it all the time in the future. The main problem I am having is dealing with the things in the denominator.

Thanks!
 
Last edited by a moderator:
Physics news on Phys.org
No one!? Is this not the correct approach? Would someone else use a different method to get an equation for the uncertainty?
 

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