Question

The Golden Gate Bridge is made of steel and has a span of 1300 m. How much does its length change over the course of a year? Assume the temperature range f the bridge is between 0 degrees C and 30 degrees C.

Answer 1

0.507 m

Step-by-step explanation:

L = Length of the golden gate bridge = 1300 m

α = Coefficient of linear expansion of steel = 13 x 10⁻⁶ °C⁻¹

T₀ = Lower temperature = 0 °C

T = Higher temperature = 30 °C

ΔL = Change in length of the golden gate bridge

Change in length of the golden gate bridge is given as

ΔL = L α (T - T₀)

ΔL = (1300) (13 x 10⁻⁶) (30 - 0)

ΔL = 0.507 m