Young's modulus of elasticity, E, relates the strain,

Chapter , Problem 7.10

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QUESTION:

Young's modulus of elasticity, E, relates the strain, 8LIL, in a solid to the applied stress, FIA, through the relationship FIA = E(8L/L). To determine E, a tensile machine is used, and F, L, 8L, and A are measured. The uncertainties in each of these quantities are 0.5%, 1 %,5%, and 1.5%, respectively, with 95% confidence. Calculate the uncertainty in E in percentage form. Which of these measurements has

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QUESTION:

Young's modulus of elasticity, E, relates the strain, 8LIL, in a solid to the applied stress, FIA, through the relationship FIA = E(8L/L). To determine E, a tensile machine is used, and F, L, 8L, and A are measured. The uncertainties in each of these quantities are 0.5%, 1 %,5%, and 1.5%, respectively, with 95% confidence. Calculate the uncertainty in E in percentage form. Which of these measurements has

ANSWER:

Step 1 of 11

Consider the expression for  with their uncertainty.

                                                       

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