th newly constructed bridge in your town is a steel arch bridge 600 m in length. How much does the total length of the roadway decking change between temperature extremes of 30°C and 50.0°C?
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Answer:
600.14m
Explanation:
To find the final length of the bridge, we need to multiply these three together
a=linear coefficient of linear expansion which is 11*10^-6('C)^-1
L0=the length of the bridge(it's L with subscript 0 not O) (600m)
ΔT=the change of the temperature ( 50 minus 30 degrees celsius )
ΔL=(a)(L0)(ΔT)
ΔL=(11 times 10^-6)(600m)(50-30)
ΔL=.14M
L=L0 + ΔL
L=600m + .14m
L=600.14m
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