at 15℃ the height of eifel tower is 324m.if it is made of iron , what will be the increase in length in cm,at 30℃?answer is 5.6cm...need a detailed explanation....
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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
5.94 cm taller on a hot day of 40 degrees than it is at 22 degrees. H
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