Best way to compare two forces

[baggiano]

Hello

Suppose we have to compare a set of forces calculated with an analytical model to a set of measured forces.

What in your opinion is a good way to compare the forces? I have noticed that comparing the 3 components of the forces (suppose that we can measure all of the simultaneously) leads to unpleasant relative errors while expressing the relative error of the norms together with the angles between the forces gives a better results.

What do you think?

Thanks in advance and kind regards

Bag

 

[Studiot]

Is this a strain gauge experiment?

 

[baggiano]

Nope. It is a FEM simulation involving electromagnetic forces

 

[Studiot]

You would need to explain more fully.

 

[pmacias]

us

I would approach this question by first considering the purpose of comparing the two forces. Is it to validate the analytical model or to assess the accuracy of the measured forces? This will determine the most appropriate method for comparison.

If the goal is to validate the analytical model, then it may be more appropriate to compare the individual components of the forces. This can help identify any discrepancies between the model and the measurements.

However, if the goal is to assess the accuracy of the measured forces, then comparing the norms and angles between the forces may be a better approach. This takes into account the overall magnitude and direction of the forces, rather than focusing on individual components.

It may also be helpful to consider the uncertainties associated with both the analytical model and the measurements. By taking these uncertainties into account, a more comprehensive and accurate comparison can be made.

In addition, it may be beneficial to perform multiple comparisons using different methods to get a more complete understanding of the similarities and differences between the forces.

Overall, the best way to compare two forces will depend on the specific goals and context of the comparison. As a scientist, it is important to carefully consider these factors and choose the most appropriate method for the specific situation.