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Exercise 5

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Exercise 5 is due by the start of lecture in week 6.

You can also take a look at the open course copy of Exercise 5 in the course GitHub repository (does not require logging in). Note that you should not try to make changes to this copy of the exercise, but rather only to the copy available via GitHub Classroom.

Hints for Exercise 5

P1: 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