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 3.30 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 40.0°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 × 10-6 (°C),1) N (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 10 N/m2. At what temperature would the wire reach its elastic limit? °C (c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.

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 3.30 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 40.0°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 × 10-6 (°C),1) N (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 10 N/m2. At what temperature would the wire reach its elastic limit? °C (c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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