Linear Expansion Experiment In the lab you conduct an experiment in order to determine the coefficient of linear expansion of aluminum, aI. To do so you measure the initial length of a rod (L;) using a meter stick, the intial and final temperatures Ti and Tf using a thermometer, and the change in length of the rod (AL) using a sensitive expansion guage. You also note the uncertainties in each of these four measurements: Li, STi, 8T, and AL. Instructions All work should be performed by hand on paper or a tablet. 1. Write out the function for the coefficient of linear expansion, QAI(, 2. Use the experimental values and their uncertainties associated with your student ID (see Canvas) and propagation of error to determine the uncertainty in al, daal. (a) You must show ALL steps in order to receive full credit. 3. Calculate, report and box your result QA1 SAI to the correct precision. 4. Compare your result to the theoretical value (23.0 106 1/C). (a) Calculate a percent error. (b) State whether or not your result and the theoretical value are experimentally consistent. (A number line is not required.) 5. Compare your result to one of your group members. (a) Calculate a percent difference. (b) State whether or not the two results are experimentally consistent. (A number line is not required.) 6. Upload a clear picture (or scan) of your work to the Experiment 1 assignment on Canvas. L_i (m) 1.085 Values Uncertainties T_i (deg C) T_f (deg C) AL (mm) 20.5 94.0 1.89 OL_i (m) 0.003 OT_i (deg C) 0.5 T _f (deg C) 0.5 OAL (mm) 0.01