Respuesta :
Answer:
The size range is 40,994 to 41,008 m
Explanation:
This is a thermal expansion exercise, which has as an equation
ΔL = L α ΔT = L α ( [tex]T_{f}[/tex] - T₀)
Where ΔL and ΔT are the variation of length and temperature, respectively, L is the initial length and α is the coefficient of thermal expansion
For our problem we must calculate the bridge length for maximum temperature
ΔL = 41 1.1 10⁻⁵ (41-24)
ΔL = 7.667 10⁻³ m
[tex]T_{f}[/tex]-L₀ = 7.667 10⁻³ m
[tex]T_{f}[/tex]= L₀ + 7.667 10⁻³ m
[tex]T_{f}[/tex]= 41 + 0.007667 m
[tex]T_{f}[/tex] = 41.0077 m
We repeat the calculation for the minimum temperature
ΔL = 41 1.1 10⁻⁵ (11-24)
ΔL = -5.863 10⁻³ m
[tex]T_{f}[/tex] = 41 - 5,863 10⁻³
[tex]T_{f}[/tex] = 40.994 m
The size range is 40,994 to 41,008 m
