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Chapter 13: Q10PE (page 470)

How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15潞C? Its original height is 321 m and you can assume it is made of steel.

Short Answer

Expert verified

The Eiffel Tower gets taller by a length of 0.058 m by the end of the day.

Step by step solution

01

Introduction

We calculate the change in height of the Eiffel Tower by the formula for linear expansion in solids.

02

Given parameters and formula for linear expansion

Coefficient of linear expansion of marble = 1.2脳10-5/掳C

The formula for length expansion of solids is,

鈭�L=伪尝鈭�T..............(1)

Here, is the coefficient of linear expansion, L is the original length, and鈭�T is the temperature change.

03

Increase in height

Substitute the given values in equation (1), and we get,

鈭�L=伪尝鈭�T=(1.2脳10-5/掳C)脳321m脳(15掳C)=0.058m

Therefore, the Eiffel Tower gets taller by a length of 0.058 m by the end of the day.

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