Answer to Question #262982 in Physics for ibrahim Jibril

Question #262982

A hole of cross-sectional area 100 c m 2 is cut in a piece of steel at 20 o C . What is the area of the hole if the steel is heated from 20 o C to 100 o C ? The coefficient of linear expansion of steel is 1.10 × 10 − 5 o C


1
Expert's answer
2021-11-08T17:03:05-0500

We can find the area of the hole if the steel is heated from 20C20^{\circ}C to 100C100^{\circ}C as follows:


ΔA=2αA0ΔT,\Delta A=2\alpha A_0\Delta T,AA0=2αA0ΔT,A-A_0=2\alpha A_0\Delta T,A=A0(1+2αΔT),A=A_0(1+2\alpha\Delta T),A=100 cm2×(1+2×1.10×105 (C)1×80C),A=100\ cm^2\times(1+2\times1.10\times10^{-5}\ (^{\circ}C)^{-1}\times80^{\circ}C),A=100.2 cm2.A=100.2\ cm^2.

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