Calculating Uncertainty in Angular Resolution for Scientists

[P-Jay1]

Hey, I'm being asked to find the experimental limit of angular resolution.

The equation is as follows: theta = d / D

where d = 0.75 \pm 0.003 mm

and, D = 10.3 \pm 0.2 m

The angular limit of resolution will be given in radians. How do I work out the resultant uncertainty?

 

[gneill]

There are many resources on the web that explain how to propagate precision uncertainties through calculations. Here's one that may help:

http://www.upscale.utoronto.ca/PVB/Harrison/ErrorAnalysis/

 

[P-Jay1]

do you add the uncertainties?

 

[MisterX]

What is the largest value of theta? What is the smallest value?

 

[gneill]

do you add the uncertainties?

Did you look through the document at the link I provided? In particular, section 9, "Propagation of Errors of Precision".

 

[P-Jay1]

Did you look through the document at the link I provided? In particular, section 9, "Propagation of Errors of Precision".

Briefly. I'm extremely stressed and my ability to read and think at the same time has deteriorated. However, I see now though, so thankyou :)