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Physics / University Physics 13 / Chapter 17 / Problem 20E

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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(a) If an area measured on the surface of a solid body is

Chapter 17, Problem 20E

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QUESTION:

(a) If an area measured on the surface of a solid body is ?A?0 at some initial temperature and then changes by ??A? when the temperature changes by ??T?, show that ??A? = (2?? ?A?0??T where ?? is the coefficient of linear expansion. (b) A circular sheet of aluminum is 55.0 cm in diameter at 15.0°C. By how much does the area of one side of the sheet change when the temperature increases to 27.5°C?

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QUESTION:

(a) If an area measured on the surface of a solid body is ?A?0 at some initial temperature and then changes by ??A? when the temperature changes by ??T?, show that ??A? = (2?? ?A?0??T where ?? is the coefficient of linear expansion. (b) A circular sheet of aluminum is 55.0 cm in diameter at 15.0°C. By how much does the area of one side of the sheet change when the temperature increases to 27.5°C?

ANSWER:

Solution 20E Linear expansion is L = L 0 Where is coefficient of linear expansion The area is A = aL L 1 2 Where a is constant depends on the shape of the surface The object is sphere so a=4 L1= L =2r

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