Droplet impact angles, errors in.

AI Thread Summary
The discussion focuses on calculating the impact angle of water droplets on surfaces using the arcsin of their width and length. It highlights that as the angle approaches 90 degrees, small measurement errors in width and length significantly affect the angle calculation. The original poster seeks mathematical guidance on exploring this relationship, including confidence intervals for impact angles. A follow-up comment expresses frustration over the lack of responses and requests for more information. The conversation emphasizes the challenges in accurately measuring droplet impact angles.
TeraExa
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Hi

Arcsin width/length of a water droplet on any surface will give you the angle between the droplet trajectory before falling (assume straight line rather than parabola) and the surface upon which it fell.

As this angle approaches 90degrees (water drop falling vertically on a horizontal surface) measuring these two variables [width, length] will be more difficult as even a small error will result in a large difference in the angle calculation.

I would like to investigate mathematically this relationship, such as working on confidence intervals for angles of impact as functions of angle of impact itself etc. but I would appreciate some guidance as to how to go about it.

Thank you
Alex
 
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why did nobody reply? do i need to supply more information?
thanks!

:confused: :confused:
 
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