The height of the washington monument is measured to be 170 m on a day when the temperature is 30.0°c. what will its height be in meters on a day when the temperature falls to −16.0°c? although the monument is made of limestone, assume that its thermal coefficient of expansion is the same as marble's.
This is a case of linear expansion. The general expression of linear expansion is given by:
ΔL = αLΔT, ΔL = change in length or height, α = coefficient of linear thermal expansion, ΔT = Change in temperature. In the current case; α = 2.5*10^-6 /°C (for Marble) L = 170 m at 30.0°C ΔT = 30 - (-16) = 46°C
