Ratio for the dimples in a golf ball

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SUMMARY

This discussion focuses on determining a numerical ratio to represent the dimple patterns in golf balls for an experiment on their aerodynamic effectiveness. The primary suggestion is to calculate the average diameter of the dimples relative to their quantity, while also considering the standard deviation to account for the variance in dimple sizes. A higher standard deviation indicates a wider range of dimple sizes, which may affect flight performance. The conversation highlights the complexity of quantifying dimple patterns due to their diverse configurations.

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  • Understanding of basic statistical concepts, particularly standard deviation.
  • Familiarity with golf ball design and aerodynamics.
  • Knowledge of measurement techniques for small-scale objects.
  • Experience with experimental design and data analysis.
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  • Research how to calculate standard deviation in practical applications.
  • Explore the impact of dimple size and pattern on golf ball aerodynamics.
  • Investigate existing studies on golf ball geometry and performance.
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Aerodynamics researchers, golf ball manufacturers, sports scientists, and anyone interested in optimizing golf ball performance through design analysis.

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I'm conducting an experiment in order to find the effectiveness of dimples in a golf ball when flying through the air. As part of the experiment, I'm planning on testing the different dimple patterns of various golf balls. However, I'm having trouble coming up with a numerical ratio that can represent the dimple pattern of a golf ball.

The only thing I've come up with so far is the average diameter of the dimples (balls normally have a few different sized dimples) to the number of dimples on the ball (I can't use the volume or depth of the dimples as I don't have any instruments that can measure such small values). The problem is that this does not take into account, the positions of the larger and smaller dimples around each other. Is it possible to create a value that takes this into account? Thanks in advance.
 
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There is probably an infinite number of possible patterns so I can't think of a way to describe that using a single number.

Perhaps look up standard deviation? This is a measure of how much variance there is.

https://en.wikipedia.org/wiki/Standard_deviation

You could work out how many of each size of dimple there are and calculate the standard deviation.

A high number would indicate a wider range of sizes. A low number would correspond to a ball with dimples of mostly one size or a narrower spread in the sizes.

It's possible for two data sets to have the same average but a different standard deviation.
 
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