The text describes a problem regarding the thermal expansion and tension of a steel wire laid on the Golden Gate Bridge. The main span of the bridge is 1.28 km, and the wire has a cross-sectional area of \(3.40 \times 10^{-6} \, \text{m}^2\). The scenario considers the bridge on a summer day when the temperature is \(43.0^\circ\text{C}\).**Problem (a):**- The wire must sustain the same length in winter when the temperature drops to \(-10.0^\circ\text{C}\).- The task is to find the tension in the wire under these conditions.- The Young's modulus for steel is \(20.0 \times 10^{10} \, \text{N/m}^2\).- The coefficient of thermal expansion for steel is \(11 \times 10^{-6} \, (\circ\text{C})^{-1}\).- A response box indicates a placeholder for the tension answer: (N)**Feedback:** - The text notes that the response given "differs significantly from the correct answer," advising to rework the solution.**Problem (b):**- Permanent deformation occurs if the stress in the steel exceeds its elastic limit of \(3.00 \times 10^{8} \, \text{N/m}^2\).- The question is to determine the temperature at which the wire reaches its elastic limit.A boxed area shows a place to enter a numerical answer for part (b), and the temperature in question is unknown.

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The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 3.40 x 10-6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 43.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to -10.0°C, what is the tension in the wire? Take Young's modulus for steel to be 20.0 x 1010 N/m2. (Assume the coefficient of thermal expansion of steel is 11 x 10-6 (°C)-1.) Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N (b). Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 108 N/m2. At what temperature would the wire reach its elastic limit?

The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 3.40 x 10-6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 43.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to -10.0°C, what is the tension in the wire? Take Young's modulus for steel to be 20.0 x 1010 N/m2. (Assume the coefficient of thermal expansion of steel is 11 x 10-6 (°C)-1.) Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N (b). Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 108 N/m2. At what temperature would the wire reach its elastic limit?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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