ch18-p018 - 18. (a) Since A = D2/4, we have the...

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(e) The coefficient of linear expansion is 2 5 0.18 10 1.8 10 C . 100 C D / DT α Δ× == = ×° Δ° 18. (a) Since A = π D 2 /4, we have the differential dA = 2( π D /4) dD . Dividing the latter relation by the former, we obtain dA / A = 2 dD / D . In terms of Δ 's, this reads 2 for 1. AD D D ΔΔ Δ = 3 We can think of the factor of 2 as being due to the fact that area is a two-dimensional
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