Answer:
The temperature is [tex]T = \frac{h}{H_O \alpha_{steel} } + T_O[/tex]
Explanation:
From the question we are told that
The height on a cool spring day is [tex]H_O[/tex]
The temperature on a cool spring day is [tex]T_O[/tex]
The difference in height between a cool spring day and a summer day is h
The coefficient of static friction is [tex]\alpha _{steel}[/tex]
The mathematical relation for the linear expansion of the steel buiding is represented as
[tex]h = H_o \alpha_{steel} [T-T_O][/tex]
Where T is the temperature of the steel during summer
Now making T the subject we have
[tex]T = \frac{h}{H_O \alpha_{steel} } + T_O[/tex]
