A cylindrical wire of radius R elongates when subjected to a tensile force F. Let represent the initial length of the wire and let represent the final length. Young’s modulus for the material is given by





Assume that F = 800 ± 1 N, R = 0.75 ± 0.1 mm, = 25.0 ± 0.1 mm, and = 30.0 ± 0.1 mm.



a. Estimate Y, and find the uncertainty in the estimate.

b. Of the uncertainties in F, R,, and , only one has a non-negligible effect on the uncertainty in Y. Which one is it?




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