Homework 1 due Wednesday March 19:
Part 1: Model equation Derivation
Derive the governing equation for the tank draining problem.
Clearly state all assumptions
What does CD correct for?
Does the experimental data follow the derived model? Plot h vs t and h1/2 vs. time. Use these plots to explain if the data follows the derived model.
How can you obtain CD from the experimental data?
What is CD based on the experimental data? See values of Ao and At below.
Part 2: Error analysis of data
What is the error on CD? Use the following values in your determination:
𝐴
0=𝜋
1𝑐𝑚
2
2, 𝛿
𝐴
0=0.01𝑐𝑚,
𝐴
𝑇=𝜋
40𝑐𝑚
2
2, 𝛿
𝐴
𝑇=0.2𝑐𝑚
We will go over error analysis in class on Tuesday, March 18.