Show work An annular ring of aluminum is cut from an ... sheet as shown. When th

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An annular ring of aluminum is cut from an ... sheet as shown. When this ring is heated. the area of the hole expends a greater percent than any area of the aluminum. the aluminum expands outward and the hole remains the same in size. the hole decreases in diameter. linear expansion Forces the shape of the hole to he slightly elliptical. the area of the hole expands the same percent as any area of the aluminum. IF a 49 m steel Footbridge experiences extreme temperatures between 10 degree C and 18 degree C, what is the range in size of this bridge if it measures exactly 49 in at 22 degree C? (Steel has a coefficient of linear expansion of 1.1times 10 degree C) Answer in units of m

Explanation / Answer

5) the area of the hole expands the same percent as any area of the aluminium

L2 = L1*(1+alfa*dT) = 49*(1+1.1*10^-5*(48-22)) = 49.014014 m

L2 = L1*(1+alfa*dT) = 49*(1-1.1*10^-5*(22+10)) = 48.982752 m

range = 48.98275 to 49.014014 m

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