Hints for Exercise 12¶
Problem 1¶
Solving for the unknown pressures in Equation 10¶
In Part 2 of Problem 1 you’re asked to solve for the term \((p_{1} - p_{0}) / L\) in Equation 10. To help you know whether or not you’ve done this properly, I’ve given a table of the values you should get below.
| \(n\) | \((p_{1} - p_{0}) / L\) |
|---|---|
| 2 | 4215743440.23 |
| 3 | 8029987.50521 |
| 4 | 14339.2634022 |
| 5 | 24.5815944037 |
Problem 2¶
Solving for the unknown term in Equation 19¶
Similar to Problem 2, you’re again asked to solve for an unknown term in Equation 19, in this case \(\gamma_{x}\). As above, you have a table of values below to help you check whether or not you’ve properly solved your equation for \(\gamma_{x}\).
| \(n\) | \(\gamma_{x}\) |
|---|---|
| 1 | 8.33314255626e+12 |
| 2 | 51263351337.2 |
| 3 | 327038924.001 |
| 4 | 1955974.42585 |
| 5 | 11230.4751723 |