When a solid rod is heated, its length increases depending on its coefficient of linear...

When a solid rod is heated, its length increases depending on its coefficient of linear expansion a. The amount of increase in length is the product of the length, the change in temperature, and a. Suppose a steel rod has a length of 2 m at 0?C and that the coefficient of linear expansion for this material is

a. Find a function that describes the length of the rod in terms of its temperature above 0?C.

b. Determine its length when the temperature is 1000?C.