The coefficient of expansion of a certain steel is 0.000012 per °C. The coefficient of volume expansion, in (°C) –1, is:
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
Why did the steel go to therapy? Because it had some serious expansion issues!
The coefficient of volume expansion, denoted as β, is related to the linear expansion coefficient, denoted as α, as follows:
β = 3α
Given that the coefficient of expansion for the steel is 0.000012 per °C, we can calculate the coefficient of volume expansion:
β = 3 * α
= 3 * 0.000012 per °C
= 0.000036 per °C
Therefore, the coefficient of volume expansion for the steel is 0.000036 per °C.
To find the coefficient of volume expansion, we need to use the formula:
β = 3α
where β is the coefficient of volume expansion and α is the coefficient of linear expansion.
Given that the coefficient of expansion for steel is 0.000012 per °C, we can determine the coefficient of volume expansion as follows:
β = 3 * 0.000012
β = 0.000036 per °C
Therefore, the coefficient of volume expansion for the given steel is 0.000036 (°C) –1.