The coefficient of volume expansion, (β), is related to the linear coefficient of expansion, (α), as follows:
β = 3α
Therefore, the coefficient of volume expansion of the steel is:
β = 3(0.000012) per °C
β = 0.000036 per °C
Expressed in (°C) –1, the coefficient of volume expansion is:
β = 1/0.000036 (°C) –1
β ≈ 27,778 (°C) –1
The coefficient of expansion of a certain steel is 0.000012 per °C. The coefficient of volume expansion, in (°C) –1, is:
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