A brass is 2m long at a certain temperature.what is it’s length after a temperature rise of 100k if the expansivity of brass is 18x10-6k-1
delta L/L = 18 * 10^-6 *100 = 18 * 10^-4
so
delta L = 36 *10^-4 meters = 0.0036 meters
2.0036 meters
To find the change in length of the brass after a temperature rise, you can use the formula:
ΔL = α * L * ΔT
Where:
ΔL is the change in length
α is the expansivity coefficient
L is the original length
ΔT is the temperature change
Given that the original length of the brass is 2m and the temperature change is 100K, and the expansivity coefficient is 18 × 10^(-6) K^(-1), we can substitute these values into the formula:
ΔL = (18 × 10^(-6) K^(-1)) * (2m) * (100K)
Calculating this equation:
ΔL = 36 × 10^(-4) m * K * m = 0.036 m
Therefore, the length of the brass after a temperature rise of 100K is 2 + 0.036m = 2.036m.