A cylindrical wire of radius R elongates when subjected to a tensile force F. Let Lo represent the initial length of the wire and let L1 represent the final length. Young's modulus for the material is given by FL, *R°(L, - L,) Assume that F = 800 = 1 N, R = 0.75 ± 0.1 mm, Lo = 25.0 ± 0.1 mm, and L1 = 30.0 ± 0.1 mm. Estimate Y, and find the uncertainty in the estimate. a. b. Of the uncertaintțes in F, R, Lo, and L1. only one has a non-negligible effect on the uncertainty in Y. Which one is it?

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A cylindrical wire of radius R elongates when subjected to a tensile force F. Let Lo
represent the initial length of the wire and let L1 represent the final length. Young's modulus
for the material is given by
FL,
*R°(L, - L,)
Assume that F = 800 = 1 N, R = 0.75 ± 0.1 mm, Lo = 25.0 ± 0.1 mm, and L1 = 30.0 ± 0.1
mm.
Estimate Y, and find the uncertainty in the estimate.
a.
b.
Of the uncertaintțes in F, R, Lo, and L1. only one has a non-negligible effect on the
uncertainty in Y. Which one is it?
Transcribed Image Text:A cylindrical wire of radius R elongates when subjected to a tensile force F. Let Lo represent the initial length of the wire and let L1 represent the final length. Young's modulus for the material is given by FL, *R°(L, - L,) Assume that F = 800 = 1 N, R = 0.75 ± 0.1 mm, Lo = 25.0 ± 0.1 mm, and L1 = 30.0 ± 0.1 mm. Estimate Y, and find the uncertainty in the estimate. a. b. Of the uncertaintțes in F, R, Lo, and L1. only one has a non-negligible effect on the uncertainty in Y. Which one is it?
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