For small changes in temperature the formula for the expansi
For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g?L=aL(t?T) where g is the length of the object at temperature t , and L is the length at temperature T , and a is a constant which depends on the type of metal.
1. Express g as a linear function of t . Find the slope and vertical intercept in terms of L , T , and a.
slope =
intercept =
1. Express g as a linear function of t . Find the slope and vertical intercept in terms of L , T , and a.
slope =
intercept =
Solution
g = L + aL(t-T) g = aLt + (1 - aT)L hence slope = aL intercept = L(1-aT)