Calculating Uncertainty in Angular Resolution for Scientists

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Homework Help Overview

The original poster attempts to calculate the experimental limit of angular resolution using the equation theta = d / D, where d and D have associated uncertainties. The goal is to determine the resultant uncertainty in the angular limit of resolution expressed in radians.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to propagate uncertainties through calculations, with some questioning whether to add the uncertainties directly. Others inquire about determining the largest and smallest values of theta based on the given measurements.

Discussion Status

Some participants have provided guidance by referencing external resources on error propagation, while others express their struggles with understanding the material. There appears to be an ongoing exploration of different interpretations regarding how to handle the uncertainties in the calculations.

Contextual Notes

The original poster mentions feeling stressed and having difficulty processing information, which may impact their engagement with the problem. The discussion includes references to specific sections of the linked resource for clarity on error propagation.

P-Jay1
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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 [tex]\pm[/tex] 0.003 mm

and, D = 10.3 [tex]\pm[/tex] 0.2 m

The angular limit of resolution will be given in radians. How do I work out the resultant uncertainty?
 
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do you add the uncertainties?
 
What is the largest value of theta? What is the smallest value?
 
P-Jay1 said:
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".
 
gneill said:
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 :)
 

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