Calculate the linear expansitivity of brass of length 100m,that assume a new length of 120.05m when heated through a temperature 100°c
To calculate the linear expansivity of brass, we can use the formula:
ΔL = α * L * ΔT
where:
ΔL is the change in length
α is the linear expansivity
L is the original length
ΔT is the change in temperature
In this case, the original length (L) is 100m, the change in length (ΔL) is 120.05m - 100m = 20.05m, and the change in temperature (ΔT) is 100°C.
Rearranging the formula, we can solve for α:
α = ΔL / (L * ΔT)
Substituting the values into the formula, we get:
α = 20.05m / (100m * 100°C)
Simplifying the equation, we get:
α = 0.0002°C^(-1)
Therefore, the linear expansivity of brass is 0.0002°C^(-1).