Answer:
The expansion of the steel bridge is 0.0605 cm
Explanation:
The given length of the steel bridge, L = 5.5 m
The linear expansivity of the steel bridge, [tex]\alpha_ L[/tex] = 0.000011/°C
The rise (change) in the temperature, ΔT = 10°C
Let, ΔL, represent the expansion of the steel bridge
Given that the linear expansivity, [tex]\alpha_ L[/tex], of a material is the change in the length of a material per unit length of the material per unit change in the temperature, we have;
[tex]\alpha_ L[/tex] = ΔL/(L × ΔT)
∴ ΔL = [tex]\alpha_ L[/tex] × L × ΔT = 0.000011 /°C × 5.5 m × 10 °C = 0.000605 meters
ΔL = 0.000605 meters
The expansion of the steel bridge, ΔL = 0.000605 meters = 0.000605 m × 100 cm/m = 0.0605 cm
