Exploring the Number of Pi Groups in Dimensional Analysis

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In summary, the conversation is about determining the number of pi groups in a given problem with 6 quantities and 3 dimensions. The speaker found that there are 4 pi groups, but the question only mentions 3 pi groups. The formula they used involves 6-3=3 dimensionless expressions.
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Homework Statement



Is the question wrong ?
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The Attempt at a Solution


I found that the number of dimension = 6 , primary dimensionof velocity is L / T , which is 2 , number of repeating variable = 2 , so , there are 6-2 = 4 pi group , why the question only gt 3 pi group ?
 
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How to do this question?
 
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foo9008 said:
y is L / T , which is 2 , number of repeating variable = 2 , so , there are 6-2 = 4 pi group , why the question only gt 3 pi group
Not sure where you get that formula from. As I understand it, you have 6 quantities that, between them, involve 3 dimensions (MLT), so the equation can be written relating 6-3=3 dimensionless expressions.
 
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Related to Exploring the Number of Pi Groups in Dimensional Analysis

1. What is a repeating variable?

A repeating variable is a type of variable in a scientific experiment that is measured or observed multiple times under the same conditions. This allows for the evaluation of consistency and reliability of the results.

2. Why is the number of repeating variables important?

The number of repeating variables is important because it can affect the accuracy and precision of the results. The more times a variable is repeated, the more reliable and consistent the results will be.

3. How many times should a variable be repeated in an experiment?

The number of times a variable should be repeated depends on the specific experiment and the desired level of accuracy. In general, a variable should be repeated at least three times to ensure reliable results.

4. What is the difference between repeating variables and independent variables?

Repeating variables and independent variables are two different types of variables in an experiment. Repeating variables are measured multiple times to ensure consistency, while independent variables are manipulated by the researcher to test their effect on the dependent variable.

5. Can the number of repeating variables be adjusted during an experiment?

Yes, the number of repeating variables can be adjusted during an experiment if necessary. This may be done if the initial results are inconsistent or if more accurate results are desired. However, it is important to maintain consistency and clearly document any changes made to the number of repeating variables.

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