Calculate the linear expansivity of brass of length 120cm, that assumes a new length of 120.05m when heated through a temperature 100⁰c
l2 = l1(1 + αθ)
l2 = 120.05 cm
l1 = 120 cm
alpha = solve for this
theta = 100 C
Post your work if you get stuck.
The linear expansivity (α) of a material is given by the formula:
α = (change in length) / (original length * change in temperature)
Given:
Original length (L0) = 120 cm
Final length (Lf) = 120.05 m = 12005 cm
Change in temperature (ΔT) = 100 °C
First, we need to convert the final length from meters to centimeters:
Lf = 120.05 m * 100 cm/m = 12005 cm
Now, we can calculate the linear expansivity:
α = (Lf - L0) / (L0 * ΔT)
= (12005 cm - 120 cm) / (120 cm * 100 °C)
= 11985 cm / 12000 °C
Simplifying this fraction gives us:
α = 0.99875 cm/°C
Therefore, the linear expansivity of brass is approximately 0.99875 cm/°C.