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Best Answer Tim Mitchell says
It would be interesting to do the math to see what influence gravity due to the fan blades mass would have on the downward trajectory of a dust particle. I would think Earth's gravity would be dominant, and a particle would be deflected minutely.
I am much more concept orientated than math. Distance I am sure will come into play with regard to mass and attraction as when a force is more dominate regarding vector angles. Again, I am more conceptual. Kinda like the movie 'Armageddon' Thanks! :)
What a great answer! I leave my fans on all the time, and of course the kitchen fan gets dirtier than the others. I tried apply paste wax to them, but it didn't help.
For any nerds out there interested in such trivia, I just did the math. It turns out that a 50 kg mass at 10 cm distance would accelerate a 1 microgram piece of dust to walking speed in 7 weeks! (Using F=Gm1m2/r^2)
LOL, LOL, LOL The solution set is Fantastic and paper towels :)
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Eugene Brennan says
Great work! As said I just ponder. However I enjoy fun. http://www.spaceflight.esa.int/impress/text/educat... or Impress Education (ESA): Circular Motion where the formulas for mass of rotating objects are shared. Again, I don't understand this stuff