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Kobotan [32]
3 years ago
10

A steel bridge is 5.5m long. If the linear expansivity of steel is 0.000011/℃, how much will it expand when temperature rise by

10 ℃? Give your answer in cm
Physics
1 answer:
Soloha48 [4]3 years ago
4 0

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, \alpha_ L = 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, \alpha_ L, 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;

\alpha_ L = ΔL/(L × ΔT)

∴ ΔL = \alpha_ L × 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

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