The discussion focuses on calculating the uncertainty ∆y in the function y = 1/2(u + v) based on the uncertainties ∆u and ∆v in variables u and v. The error propagation formula is crucial for this calculation, specifically the expression ∆y = |∂y/∂u|∆u + |∂y/∂v|∆v. Participants emphasize the importance of partial differentiation in applying this formula to derive the uncertainties accurately.
PREREQUISITESStudents in physics or engineering, particularly those dealing with experimental data and uncertainty analysis, will benefit from this discussion.
Please quote the error propagation formula as you understand it.SJay16 said:Homework Statement
Find the uncertainty ∆y in y as a function of the uncertainties ∆u and ∆v in u and v for the following functions:
y = 1/2(u+v)
Homework Equations
:
Error propagation formula[/B]
The Attempt at a Solution
Don't know where to begin even. Help?[/B]