calculate the linear expensivility of brass of a length is 120m that assumes a new temperature is 100 degree.
One has to know the original temperature.
changelength=length*coefficent linear expansion brass*change in temp
you can look up the coefficent for brass on Google.
To calculate the linear expansivity of brass, we need to know two things: the initial length of the brass (L₀) and the change in temperature (ΔT). The linear expansivity coefficient (α) of brass is also required, which represents the fractional change in length per unit change in temperature.
Given:
Initial length of brass (L₀) = 120 m
Change in temperature (ΔT) = 100 °C
The linear expansivity coefficient of brass can vary depending on the specific type of brass. As an approximation, we can use the average linear expansivity coefficient for brass, which is around 18 × 10^(-6) per °C.
Using the formula for linear expansivity:
ΔL = α * L₀ * ΔT
where:
ΔL is the change in length,
α is the linear expansivity coefficient,
L₀ is the initial length, and
ΔT is the change in temperature.
Substituting the given values:
ΔL = (18 × 10^(-6) per °C) * (120 m) * (100 °C)
ΔL = 0.018 * 120 * 100 m
ΔL = 216 m
Therefore, the change in length (ΔL) of the brass assuming a new temperature of 100 °C will be 216 meters.