Error propagation, is this correct?

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Homework Help Overview

The discussion revolves around error propagation in the context of calculating the uncertainty in angular frequency, ω, given that a variable E is constant. Participants are examining the correctness of expressions related to uncertainty calculations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of an expression for uncertainty (σc) and suggesting the use of dimensional analysis to verify it. There is also a repeated inquiry about the correctness of a specific formula involving σb.

Discussion Status

The discussion includes multiple participants raising concerns about the correctness of the expressions used. Some guidance has been offered regarding checking the expressions, but there is no explicit consensus on the correctness of the calculations presented.

Contextual Notes

There appears to be a focus on ensuring that the expressions for uncertainty are dimensionally consistent, indicating a potential gap in understanding or application of error propagation principles.

EastWindBreaks
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Homework Statement


given E is constant, find the uncertainty in the angular frequency, ω.
can someone please check my work?

Homework Equations

The Attempt at a Solution


upload_2017-11-24_22-9-7.png
 

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I don't think your expression for σc in the third line is correct. You can check using dimensional analysis.
 
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haruspex said:
I don't think your expression for σc in the third line is correct. You can check using dimensional analysis.
thank you, does this looks correct? σc = σb / (2sqrt(b))
I checked. it seems ok?
upload_2017-11-25_3-6-38.png
 

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Last edited:
EastWindBreaks said:
thank you, does this looks correct? σc = σb / (2sqrt(b))
I checked. it seems ok?
View attachment 215581
Yes.
 
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