A concrete highway is built of slabs 11 m long (20 ∘C). Part A How wide should the expansion cracks between the slabs be (at 15 ∘C) to prevent buckling if the range of temperature is - 30 ∘C to 50 ∘C? Express your answer using two significant figures.

Respuesta :

Answer:

[tex]4.6\times 10^{-3} m[/tex]

Explanation:

We are given that

Length of slab=L=11 m

[tex]T_1=15^{\circ}[/tex]

[tex]T_2=50^{\circ}[/tex]

We have to find the  width of expansion.

We know that by linear expansion

[tex]\Delta L=L\alpha (T_2-T_1)[/tex]

Where [tex]\alpha=12\times 10^{-6}/^{\circ} C[/tex]

Substitute the values

[tex]\Delta L=11\times 12\times 10^{-6}\times (50-15)=4.62\times 10^{-3} m[/tex]

[tex]\Delta L=4.6\times 10^{-3} m[/tex]