Question

Find the approximate length of the Golden Gate bridge if it is known that the steel in the roadbed expands by 0.53 m when the temperature +2 C to +32 C. Please explain step by step thanks

Answer 1

Relation between length and temperature change is given by:

dL = L0**dT

dL = change in length = 0.53 m

dT = temperature change = Tf - Ti = 32 - 2 = 30 C

= linear thermal expansion coefficient for steel = 12*10^-6 /C

So L0 = original length of golden gate bridge = ?

L0 = dL/(*dT)

L0 = 0.53/(12*10^-6*30)

L0 = 1472 m = approximate length of Golden gate bridge

Let me know if you've any query.