Question

At 15 °C the height of Eiffel tower is 324 m. If it is made of iron, what will be the increase in length in cm, at 30 °C?

Answer 1

Given:  

Original length, ( L o ) = 300.0 m  

Coefficient of Linear expansion of steel   ( α ) = 11x  10  ^6 C⁰  − 1  

Temperature change   ( Δ T ) = 40 − 22 = 18.0   C⁰  

Required to find: Change in length   ( Δ L )  

Analysis: The formula for figuring out this question is  

ΔL  = α L o Δ T  

The unknown value is already isolated, so we do not need to manipulate the formula.  

Solve and Significant Figures:  

Δ L = ( 11 x 10⁶)( 300.0)(    18)  

 Δ L = 0.0594 m  

Convert to centimeters by multiplying by 100:  

Δ L =  5.94  cm  

This means the Eiffel Tower is 5.94 cm taller on a hot day of 40 degrees than it is at 22 degrees

Answer 2

Answer:

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