g (m/s>) (s') L (m) h(m) П. 0.8 5 9.81 1 1.2 5 9.81 0.75 2.1 5 9.81 0.4 3.2 5 9.81 0.2 h unun un un
g (m/s>) (s') L (m) h(m) П. 0.8 5 9.81 1 1.2 5 9.81 0.75 2.1 5 9.81 0.4 3.2 5 9.81 0.2 h unun un un
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Water sloshes back and forth in a tank as shown below. The frequency of sloshing, ω, is assumed to be a function of the acceleration of gravity,
g, the average depth of the water, h, and the length of the tank, l. Develop a suitable set of dimensionless parameters for this problems using g and l
as repeating variables.
Assume 4 tests were completed with l = 5 m and g = 9.81 m/s^2 held constant. The head was varied between 0.8 m and 3.2 m and the frequency (ω) was measured. The data is shown below. Utilizing the PI terms you developed and excel, develop a function similar to what we did in class. Plot that function with the data points and display the R^2 and equation. Discuss why you chose the model (function) that you did.
Additionally, write out the equation that you select with the PI terms
incorporated.
Transcribed Image Text:g (m/s>)
(s')
L (m)
h(m)
П.
0.8
5
9.81
1
1.2
5
9.81
0.75
2.1
5
9.81
0.4
3.2
5
9.81
0.2
h
unun un un
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