Error propagation, is this correct?

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The discussion revolves around calculating the uncertainty in angular frequency, ω, given a constant E. Participants express doubts about the correctness of an expression for σc, suggesting verification through dimensional analysis. A proposed formula, σc = σb / (2sqrt(b)), is presented and checked for accuracy. Ultimately, the participants confirm that the expression appears to be correct. The conversation emphasizes the importance of validating mathematical expressions in uncertainty calculations.
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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