A steel railroad rail expands and contracts according to the formula Δl = αlΔT, where Δl is the change in length, α is a constant called the coefficient of linear expansion, l is the original length, and ΔT is the change in temperature. If a 50.0 ft steel rail is installed at 0°F, how many inches will it expand when the temperature rises to 110°F? (α = 6.5 ✕ 10−6/°F. Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision. Use the Metric and U.S. Conversion table to find the conversion factor(s).)
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A steel railroad rail expands and contracts according to the formula
where Δl is the change in length, α is a constant called the coefficient of linear expansion, l is the original length, and ΔT is the change in temperature. If a 50.0 ft steel rail is installed at 0°F, how many inches will it expand when the temperature rises to 110°F?
Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision. Use the Metric and U.S. Conversion table to find the conversion factor(s).)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps