A steel railroad track has a length of 31 m
when the temperature is 6°C.
What is the increase in the length of the
rail on a hot day when the temperature is
37°C? The linear expansion coefficient of
steel is 11 x 10-6 (°C) -1.
Answer in units of m.

DL = 0.0105 [m] = 10.57 [mm]

Explanation:

To solve this problem, we use the following equation that involves length changes depending on temperature changes.

where:

DL = length change

α = thermal expansion coefficient = 11 * 10^(-6) [1/°C]

DT = temperature change = (37-6) = 31 [°C]

L = nominal or initial  length = 31 [m]

DL = 11 * 10^(-6) * 31 * 31

DL = 0.0105 [m] = 10.57 [mm]

260 miles per hour

explanation:

v 154.9= 0.9 length length s little over 154.9cm