Uncertainty and Significant Figures

[i_love_science]

Homework Statement

Uncertainty and Significant Figures

Relevant Equations

Uncertainty and Significant Figures

Hi,

Would it be reasonable to have uncertainty in your independent variable (e.g. uncertainty of mass measured by electronic balance)?

For processing raw data: does each processed answer just have the same number of sigfigs as each raw datum it is calculated from, or do I need to keep track of the number of sigfigs throughout each calculation?
As well, how would I account for the different sigfigs of my independent and dependent variables, which are both used in my calculation?

Thank you!

 

[BvU]

Hi,

The homework fora require posting your best attempt at solution -- that way it's more likely you get adequate assistance at the proper level. What do you know about error processing and eror propagation ?

Would it be reasonable to have uncertainty in your independent variable (e.g. uncertainty of mass measured by electronic balance)?

Yes, if it matters (other uncertainties could render such a small error irrelevant). Otherwise it's just a wasted effort.

For processing raw data: does each processed answer just have the same number of sigfigs as each raw datum it is calculated from, or do I need to keep track of the number of sigfigs throughout each calculation?

Generally: No, so you have to keep track. (general question, general answer).

As well, how would I account for the different sigfigs of my independent and dependent variables, which are both used in my calculation?

By carefully picking values, careful experiment planning, doing a careful error analysis. Otherwise the biggest error reigns.

Specific examples you want to submit ?